%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP210^2 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 08:08:52 AM UTC 2026
% Result : Theorem 20.58s 6.93s
% Output : Refutation 20.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP210^2 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n013.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 20:13:21 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 3.66/3.77 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.02/4.63 % (2605961)Detected a higher-order problem, will run a greedy HOL sequence.
% 5.02/4.63 % (2605969)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=1428123159: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)
% 5.02/4.63 % (2605972)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.02/4.63 % (2605972)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.02/4.63 % (2605967)lrs+10_16_si=on:nwc=1.5:random_seed=837566711:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/18Mi)
% 5.02/4.63 % (2605966)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2346583324:s2a=on:i=87:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/87Mi)
% 5.02/4.63 % (2605968)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2662181972:i=3:rtra=on:inj=on:ntd=on_2993 on theBenchmark for (2993ds/3Mi)
% 5.02/4.63 % (2605970)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=29619826:i=24:av=off:rtra=on_2993 on theBenchmark for (2993ds/24Mi)
% 5.02/4.63 % (2605972)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=3963177206:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2993 on theBenchmark for (2993ds/157Mi)
% 5.02/4.63 % (2605971)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4229973118:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/75Mi)
% 5.02/4.63 % (2605968)Instruction limit reached!
% 5.02/4.63 % (2605968)------------------------------
% 5.02/4.63 % (2605968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/4.63 % (2605968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/4.63 % (2605968)CaDiCaL version: 2.1.3
% 5.02/4.63 % (2605968)Termination reason: Instruction limit
% 5.02/4.63 % (2605968)Termination phase: shuffling
% 5.02/4.63 % (2605968)Time elapsed: 0.006 s
% 5.02/4.63 % (2605968)Peak memory usage: 25 MB
% 5.02/4.63 % (2605968)Instructions burned: 3 (million)
% 5.02/4.63 % (2605967)Instruction limit reached!
% 5.02/4.63 % (2605967)------------------------------
% 5.02/4.63 % (2605967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/4.63 % (2605967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/4.63 % (2605967)CaDiCaL version: 2.1.3
% 5.02/4.63 % (2605967)Termination reason: Instruction limit
% 5.02/4.63 % (2605967)Termination phase: shuffling
% 5.02/4.63 % (2605967)Time elapsed: 0.024 s
% 5.02/4.63 % (2605967)Peak memory usage: 26 MB
% 5.02/4.63 % (2605967)Instructions burned: 18 (million)
% 5.02/4.63 % (2605970)Instruction limit reached!
% 5.02/4.63 % (2605970)------------------------------
% 5.02/4.63 % (2605970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/4.63 % (2605970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/4.63 % (2605970)CaDiCaL version: 2.1.3
% 5.02/4.63 % (2605970)Termination reason: Instruction limit
% 5.02/4.63 % (2605970)Termination phase: shuffling
% 5.02/4.63 % (2605970)Time elapsed: 0.026 s
% 5.02/4.63 % (2605970)Peak memory usage: 26 MB
% 5.02/4.63 % (2605970)Instructions burned: 25 (million)
% 5.02/4.63 % (2605980)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1540621003:i=2:hud=10:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 5.02/4.63 % (2605980)Instruction limit reached!
% 5.02/4.63 % (2605980)------------------------------
% 5.02/4.63 % (2605980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/4.63 % (2605980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/4.63 % (2605980)CaDiCaL version: 2.1.3
% 5.02/4.63 % (2605980)Termination reason: Instruction limit
% 5.02/4.63 % (2605980)Termination phase: shuffling
% 5.02/4.63 % (2605980)Time elapsed: 0.004 s
% 5.02/4.63 % (2605980)Peak memory usage: 25 MB
% 5.02/4.63 % (2605980)Instructions burned: 2 (million)
% 5.02/4.63 % (2605983)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 5.02/4.68 % (2605981)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2810494853:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2992 on theBenchmark for (2992ds/5Mi)
% 5.02/4.68 % (2605983)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3491509084:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2992 on theBenchmark for (2992ds/7Mi)
% 5.02/4.68 % (2605971)Instruction limit reached!
% 5.02/4.68 % (2605971)------------------------------
% 5.02/4.68 % (2605971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/4.68 % (2605971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/4.68 % (2605971)CaDiCaL version: 2.1.3
% 5.02/4.68 % (2605971)Termination reason: Instruction limit
% 5.02/4.68 % (2605971)Termination phase: shuffling
% 5.02/4.68 % (2605971)Time elapsed: 0.051 s
% 5.02/4.68 % (2605971)Peak memory usage: 27 MB
% 5.02/4.68 % (2605971)Instructions burned: 76 (million)
% 5.02/4.68 % (2605984)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1546141668:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2992 on theBenchmark for (2992ds/12Mi)
% 5.02/4.68 % (2605981)Instruction limit reached!
% 5.02/4.68 % (2605981)------------------------------
% 5.02/4.68 % (2605981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/4.68 % (2605981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/4.68 % (2605981)CaDiCaL version: 2.1.3
% 5.02/4.68 % (2605981)Termination reason: Instruction limit
% 5.02/4.68 % (2605981)Termination phase: shuffling
% 5.02/4.68 % (2605981)Time elapsed: 0.009 s
% 5.02/4.68 % (2605981)Peak memory usage: 24 MB
% 5.02/4.68 % (2605981)Instructions burned: 5 (million)
% 5.02/4.68 % (2605966)Instruction limit reached!
% 5.02/4.68 % (2605966)------------------------------
% 5.02/4.68 % (2605966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/4.68 % (2605966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/4.68 % (2605966)CaDiCaL version: 2.1.3
% 5.02/4.68 % (2605966)Termination reason: Instruction limit
% 5.02/4.68 % (2605966)Termination phase: shuffling
% 5.02/4.68 % (2605966)Time elapsed: 0.059 s
% 5.02/4.68 % (2605966)Peak memory usage: 27 MB
% 5.02/4.68 % (2605966)Instructions burned: 88 (million)
% 5.02/4.68 % (2605983)Instruction limit reached!
% 5.02/4.68 % (2605983)------------------------------
% 5.02/4.68 % (2605983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/4.68 % (2605983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/4.68 % (2605983)CaDiCaL version: 2.1.3
% 5.02/4.68 % (2605983)Termination reason: Instruction limit
% 5.02/4.68 % (2605983)Termination phase: shuffling
% 5.02/4.68 % (2605983)Time elapsed: 0.013 s
% 5.02/4.68 % (2605983)Peak memory usage: 25 MB
% 5.02/4.68 % (2605983)Instructions burned: 7 (million)
% 5.02/4.68 % (2605988)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.02/4.68 % (2605988)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 5.02/4.68 % (2605984)Instruction limit reached!
% 5.02/4.68 % (2605984)------------------------------
% 5.02/4.68 % (2605984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/4.68 % (2605984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/4.68 % (2605984)CaDiCaL version: 2.1.3
% 5.02/4.68 % (2605984)Termination reason: Instruction limit
% 5.02/4.68 % (2605984)Termination phase: shuffling
% 5.02/4.68 % (2605984)Time elapsed: 0.018 s
% 5.02/4.68 % (2605984)Peak memory usage: 26 MB
% 5.02/4.68 % (2605984)Instructions burned: 12 (million)
% 5.02/4.68 % (2605988)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3138198319:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2992 on theBenchmark for (2992ds/28Mi)
% 5.02/4.68 % (2605989)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=4145451101:i=86:piset=equals:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/86Mi)
% 5.02/4.68 % (2605991)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 5.02/4.68 % (2605990)lrs+10_1_si=on:cs=on:random_seed=255650562:i=8:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/8Mi)
% 5.68/4.72 % (2605991)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=79484918:i=2:add=on:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 5.68/4.72 % (2605991)Instruction limit reached!
% 5.68/4.72 % (2605991)------------------------------
% 5.68/4.72 % (2605991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/4.72 % (2605991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/4.72 % (2605991)CaDiCaL version: 2.1.3
% 5.68/4.72 % (2605991)Termination reason: Instruction limit
% 5.68/4.72 % (2605991)Termination phase: shuffling
% 5.68/4.72 % (2605991)Time elapsed: 0.004 s
% 5.68/4.72 % (2605991)Peak memory usage: 25 MB
% 5.68/4.72 % (2605991)Instructions burned: 2 (million)
% 5.68/4.72 % (2605990)Instruction limit reached!
% 5.68/4.72 % (2605990)------------------------------
% 5.68/4.72 % (2605990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/4.72 % (2605990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/4.72 % (2605990)CaDiCaL version: 2.1.3
% 5.68/4.72 % (2605990)Termination reason: Instruction limit
% 5.68/4.72 % (2605990)Termination phase: shuffling
% 5.68/4.72 % (2605990)Time elapsed: 0.013 s
% 5.68/4.72 % (2605990)Peak memory usage: 25 MB
% 5.68/4.72 % (2605990)Instructions burned: 8 (million)
% 5.68/4.72 % (2605972)Instruction limit reached!
% 5.68/4.72 % (2605972)------------------------------
% 5.68/4.72 % (2605972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/4.72 % (2605992)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1808065218:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/38Mi)
% 5.68/4.72 % (2605972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/4.72 % (2605972)CaDiCaL version: 2.1.3
% 5.68/4.72 % (2605972)Termination reason: Instruction limit
% 5.68/4.72 % (2605972)Termination phase: shuffling
% 5.68/4.72 % (2605972)Time elapsed: 0.092 s
% 5.68/4.72 % (2605972)Peak memory usage: 28 MB
% 5.68/4.72 % (2605972)Instructions burned: 159 (million)
% 5.68/4.72 % (2605988)Instruction limit reached!
% 5.68/4.72 % (2605988)------------------------------
% 5.68/4.72 % (2605988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/4.72 % (2605988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/4.72 % (2605988)CaDiCaL version: 2.1.3
% 5.68/4.72 % (2605988)Termination reason: Instruction limit
% 5.68/4.72 % (2605988)Termination phase: shuffling
% 5.68/4.72 % (2605988)Time elapsed: 0.028 s
% 5.68/4.72 % (2605988)Peak memory usage: 26 MB
% 5.68/4.72 % (2605988)Instructions burned: 29 (million)
% 5.68/4.72 % (2605997)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2537376958:st=2:i=249:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/249Mi)
% 5.68/4.72 % (2605999)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=730232487:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/25Mi)
% 5.68/4.72 % (2606000)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2641573424:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2991 on theBenchmark for (2991ds/14Mi)
% 5.68/4.72 % (2606001)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=641625290:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/327Mi)
% 5.68/4.72 % (2605992)Instruction limit reached!
% 5.68/4.72 % (2605992)------------------------------
% 5.68/4.72 % (2605992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/4.72 % (2605992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/4.72 % (2605992)CaDiCaL version: 2.1.3
% 5.68/4.72 % (2605992)Termination reason: Instruction limit
% 5.68/4.72 % (2605992)Termination phase: shuffling
% 5.68/4.72 % (2605992)Time elapsed: 0.033 s
% 5.68/4.72 % (2605992)Peak memory usage: 26 MB
% 5.68/4.72 % (2605992)Instructions burned: 40 (million)
% 5.68/4.72 % (2605989)Instruction limit reached!
% 5.68/4.72 % (2605989)------------------------------
% 5.68/4.72 % (2605989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/4.72 % (2605989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/4.72 % (2605989)CaDiCaL version: 2.1.3
% 5.68/4.78 % (2605989)Termination reason: Instruction limit
% 5.68/4.78 % (2605989)Termination phase: shuffling
% 5.68/4.78 % (2605989)Time elapsed: 0.056 s
% 5.68/4.78 % (2605989)Peak memory usage: 27 MB
% 5.68/4.78 % (2605989)Instructions burned: 88 (million)
% 5.68/4.78 % (2606000)Instruction limit reached!
% 5.68/4.78 % (2606000)------------------------------
% 5.68/4.78 % (2606000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/4.78 % (2606000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/4.78 % (2606000)CaDiCaL version: 2.1.3
% 5.68/4.78 % (2606000)Termination reason: Instruction limit
% 5.68/4.78 % (2606000)Termination phase: shuffling
% 5.68/4.78 % (2606000)Time elapsed: 0.018 s
% 5.68/4.78 % (2606000)Peak memory usage: 26 MB
% 5.68/4.78 % (2606000)Instructions burned: 15 (million)
% 5.68/4.78 % (2605999)Instruction limit reached!
% 5.68/4.78 % (2605999)------------------------------
% 5.68/4.78 % (2605999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/4.78 % (2605999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/4.78 % (2605999)CaDiCaL version: 2.1.3
% 5.68/4.78 % (2605999)Termination reason: Instruction limit
% 5.68/4.78 % (2605999)Termination phase: shuffling
% 5.68/4.78 % (2605999)Time elapsed: 0.026 s
% 5.68/4.78 % (2605999)Peak memory usage: 26 MB
% 5.68/4.78 % (2605999)Instructions burned: 27 (million)
% 5.68/4.78 % (2606006)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=746192798:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/14Mi)
% 5.68/4.78 % (2606007)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3122755133: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)
% 5.68/4.78 % (2606008)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1063164746:i=26:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/26Mi)
% 5.68/4.78 % (2606007)Instruction limit reached!
% 5.68/4.78 % (2606007)------------------------------
% 5.68/4.78 % (2606007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/4.78 % (2606007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/4.78 % (2606007)CaDiCaL version: 2.1.3
% 5.68/4.78 % (2606007)Termination reason: Instruction limit
% 5.68/4.78 % (2606007)Termination phase: shuffling
% 5.68/4.78 % (2606007)Time elapsed: 0.004 s
% 5.68/4.78 % (2606007)Peak memory usage: 25 MB
% 5.68/4.78 % (2606007)Instructions burned: 2 (million)
% 5.68/4.78 % (2606009)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1941339494:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2991 on theBenchmark for (2991ds/23Mi)
% 5.68/4.78 % (2606006)Instruction limit reached!
% 5.68/4.78 % (2606006)------------------------------
% 5.68/4.78 % (2606006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/4.78 % (2606006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/4.78 % (2606006)CaDiCaL version: 2.1.3
% 5.68/4.78 % (2606006)Termination reason: Instruction limit
% 5.68/4.78 % (2606006)Termination phase: shuffling
% 5.68/4.78 % (2606006)Time elapsed: 0.020 s
% 5.68/4.78 % (2606006)Peak memory usage: 26 MB
% 5.68/4.78 % (2606006)Instructions burned: 15 (million)
% 5.68/4.78 % (2605969)Instruction limit reached!
% 5.68/4.78 % (2605969)------------------------------
% 5.68/4.78 % (2605969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/4.78 % (2605969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/4.78 % (2605969)CaDiCaL version: 2.1.3
% 5.68/4.78 % (2605969)Termination reason: Instruction limit
% 5.68/4.78 % (2605969)Termination phase: shuffling
% 5.68/4.78 % (2605969)Time elapsed: 0.179 s
% 5.68/4.78 % (2605969)Peak memory usage: 29 MB
% 5.68/4.78 % (2605969)Instructions burned: 636 (million)
% 5.68/4.78 % (2606013)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2358634998:cond=on:i=60:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/60Mi)
% 5.68/4.78 % (2606008)Instruction limit reached!
% 5.68/4.78 % (2606008)------------------------------
% 5.68/4.78 % (2606008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/4.78 % (2606008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/4.78 % (2606008)CaDiCaL version: 2.1.3
% 5.68/4.78 % (2606008)Termination reason: Instruction limit
% 6.25/4.83 % (2606008)Termination phase: shuffling
% 6.25/4.83 % (2606008)Time elapsed: 0.025 s
% 6.25/4.83 % (2606008)Peak memory usage: 26 MB
% 6.25/4.83 % (2606008)Instructions burned: 27 (million)
% 6.25/4.83 % (2606016)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 6.25/4.83 % (2606016)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=4044042941:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2991 on theBenchmark for (2991ds/8Mi)
% 6.25/4.83 % (2606009)Instruction limit reached!
% 6.25/4.83 % (2606009)------------------------------
% 6.25/4.83 % (2606009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.25/4.83 % (2606009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/4.83 % (2606009)CaDiCaL version: 2.1.3
% 6.25/4.83 % (2606009)Termination reason: Instruction limit
% 6.25/4.83 % (2606009)Termination phase: shuffling
% 6.25/4.83 % (2606009)Time elapsed: 0.025 s
% 6.25/4.83 % (2606009)Peak memory usage: 26 MB
% 6.25/4.83 % (2606009)Instructions burned: 25 (million)
% 6.25/4.83 % (2606015)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 6.25/4.83 % (2606015)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 6.25/4.83 % (2606015)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=250934163:i=14:add=off:nm=40:rtra=on:rawr=on_2991 on theBenchmark for (2991ds/14Mi)
% 6.25/4.83 % (2606016)Instruction limit reached!
% 6.25/4.83 % (2606016)------------------------------
% 6.25/4.83 % (2606016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.25/4.83 % (2606016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/4.83 % (2606016)CaDiCaL version: 2.1.3
% 6.25/4.83 % (2606016)Termination reason: Instruction limit
% 6.25/4.83 % (2606016)Termination phase: shuffling
% 6.25/4.83 % (2606016)Time elapsed: 0.008 s
% 6.25/4.83 % (2606016)Peak memory usage: 25 MB
% 6.25/4.83 % (2606016)Instructions burned: 8 (million)
% 6.25/4.83 % (2606018)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=3736997772:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2990 on theBenchmark for (2990ds/31Mi)
% 6.25/4.83 % (2606022)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1207854038:i=23:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/23Mi)
% 6.25/4.83 % (2606020)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1231327780:i=7:hud=5:bd=preordered:rtra=on:bet=on_2990 on theBenchmark for (2990ds/7Mi)
% 6.25/4.83 % (2606015)Instruction limit reached!
% 6.25/4.83 % (2606015)------------------------------
% 6.25/4.83 % (2606015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.25/4.83 % (2606015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/4.83 % (2606015)CaDiCaL version: 2.1.3
% 6.25/4.83 % (2606015)Termination reason: Instruction limit
% 6.25/4.83 % (2606015)Termination phase: shuffling
% 6.25/4.83 % (2606015)Time elapsed: 0.020 s
% 6.25/4.83 % (2606015)Peak memory usage: 26 MB
% 6.25/4.83 % (2606015)Instructions burned: 14 (million)
% 6.25/4.83 % (2606020)Instruction limit reached!
% 6.25/4.83 % (2606020)------------------------------
% 6.25/4.83 % (2606020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.25/4.83 % (2606020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/4.83 % (2606020)CaDiCaL version: 2.1.3
% 6.25/4.83 % (2606020)Termination reason: Instruction limit
% 6.25/4.83 % (2606020)Termination phase: shuffling
% 6.25/4.83 % (2606020)Time elapsed: 0.012 s
% 6.25/4.83 % (2606020)Peak memory usage: 25 MB
% 6.25/4.83 % (2606020)Instructions burned: 7 (million)
% 6.25/4.83 % (2606022)Instruction limit reached!
% 6.25/4.83 % (2606022)------------------------------
% 6.25/4.83 % (2606022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.25/4.83 % (2606022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/4.83 % (2606022)CaDiCaL version: 2.1.3
% 6.25/4.83 % (2606022)Termination reason: Instruction limit
% 6.87/4.93 % (2606022)Termination phase: shuffling
% 6.87/4.93 % (2606022)Time elapsed: 0.015 s
% 6.87/4.93 % (2606022)Peak memory usage: 26 MB
% 6.87/4.93 % (2606022)Instructions burned: 27 (million)
% 6.87/4.93 % (2606013)Instruction limit reached!
% 6.87/4.93 % (2606013)------------------------------
% 6.87/4.93 % (2606013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.87/4.93 % (2606013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/4.93 % (2606013)CaDiCaL version: 2.1.3
% 6.87/4.93 % (2606013)Termination reason: Instruction limit
% 6.87/4.93 % (2606013)Termination phase: shuffling
% 6.87/4.93 % (2606013)Time elapsed: 0.043 s
% 6.87/4.93 % (2606013)Peak memory usage: 27 MB
% 6.87/4.93 % (2606013)Instructions burned: 60 (million)
% 6.87/4.93 % (2606018)Instruction limit reached!
% 6.87/4.93 % (2606018)------------------------------
% 6.87/4.93 % (2606018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.87/4.93 % (2606018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/4.93 % (2606018)CaDiCaL version: 2.1.3
% 6.87/4.93 % (2606018)Termination reason: Instruction limit
% 6.87/4.93 % (2606018)Termination phase: shuffling
% 6.87/4.93 % (2606018)Time elapsed: 0.028 s
% 6.87/4.93 % (2606018)Peak memory usage: 26 MB
% 6.87/4.93 % (2606018)Instructions burned: 31 (million)
% 6.87/4.93 % (2606028)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4083235602:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/143Mi)
% 6.87/4.93 % (2606026)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2122980948:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2990 on theBenchmark for (2990ds/20Mi)
% 6.87/4.93 % (2606027)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1343128127:i=1240:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/1240Mi)
% 6.87/4.93 % (2605997)Instruction limit reached!
% 6.87/4.93 % (2605997)------------------------------
% 6.87/4.93 % (2605997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.87/4.93 % (2605997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/4.93 % (2605997)CaDiCaL version: 2.1.3
% 6.87/4.93 % (2605997)Termination reason: Instruction limit
% 6.87/4.93 % (2605997)Termination phase: shuffling
% 6.87/4.93 % (2605997)Time elapsed: 0.134 s
% 6.87/4.93 % (2605997)Peak memory usage: 30 MB
% 6.87/4.93 % (2605997)Instructions burned: 249 (million)
% 6.87/4.93 % (2606029)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1533686781:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/193Mi)
% 6.87/4.93 % (2606030)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2177055507:i=42:hud=10:rtra=on_2990 on theBenchmark for (2990ds/42Mi)
% 6.87/4.93 % (2606026)Instruction limit reached!
% 6.87/4.93 % (2606026)------------------------------
% 6.87/4.93 % (2606026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.87/4.93 % (2606026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/4.93 % (2606026)CaDiCaL version: 2.1.3
% 6.87/4.93 % (2606026)Termination reason: Instruction limit
% 6.87/4.93 % (2606026)Termination phase: shuffling
% 6.87/4.93 % (2606026)Time elapsed: 0.022 s
% 6.87/4.93 % (2606026)Peak memory usage: 26 MB
% 6.87/4.93 % (2606026)Instructions burned: 20 (million)
% 6.87/4.93 % (2606035)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 6.87/4.93 % (2606035)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=798174547:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2990 on theBenchmark for (2990ds/7Mi)
% 6.87/4.93 % (2606037)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=326578692:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/181Mi)
% 6.87/4.93 % (2606035)Instruction limit reached!
% 6.87/4.93 % (2606035)------------------------------
% 6.87/4.93 % (2606035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.87/4.93 % (2606035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/4.93 % (2606035)CaDiCaL version: 2.1.3
% 6.87/4.93 % (2606035)Termination reason: Instruction limit
% 6.87/4.93 % (2606035)Termination phase: shuffling
% 6.87/4.93 % (2606035)Time elapsed: 0.013 s
% 6.87/4.93 % (2606035)Peak memory usage: 25 MB
% 6.87/4.93 % (2606035)Instructions burned: 7 (million)
% 8.21/5.04 % (2606028)Instruction limit reached!
% 8.21/5.04 % (2606028)------------------------------
% 8.21/5.04 % (2606028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.21/5.04 % (2606028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.21/5.04 % (2606028)CaDiCaL version: 2.1.3
% 8.21/5.04 % (2606028)Termination reason: Instruction limit
% 8.21/5.04 % (2606028)Termination phase: shuffling
% 8.21/5.04 % (2606028)Time elapsed: 0.048 s
% 8.21/5.04 % (2606028)Peak memory usage: 28 MB
% 8.21/5.04 % (2606028)Instructions burned: 146 (million)
% 8.21/5.04 % (2606030)Instruction limit reached!
% 8.21/5.04 % (2606030)------------------------------
% 8.21/5.04 % (2606030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.21/5.04 % (2606030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.21/5.04 % (2606030)CaDiCaL version: 2.1.3
% 8.21/5.04 % (2606030)Termination reason: Instruction limit
% 8.21/5.04 % (2606030)Termination phase: shuffling
% 8.21/5.04 % (2606030)Time elapsed: 0.035 s
% 8.21/5.04 % (2606030)Peak memory usage: 27 MB
% 8.21/5.04 % (2606030)Instructions burned: 43 (million)
% 8.21/5.04 % (2606041)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 8.21/5.04 % (2606041)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1426058163:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2989 on theBenchmark for (2989ds/6Mi)
% 8.21/5.04 % (2606001)Instruction limit reached!
% 8.21/5.04 % (2606001)------------------------------
% 8.21/5.04 % (2606001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.21/5.04 % (2606001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.21/5.04 % (2606001)CaDiCaL version: 2.1.3
% 8.21/5.04 % (2606001)Termination reason: Instruction limit
% 8.21/5.04 % (2606001)Termination phase: shuffling
% 8.21/5.04 % (2606001)Time elapsed: 0.174 s
% 8.21/5.04 % (2606001)Peak memory usage: 31 MB
% 8.21/5.04 % (2606001)Instructions burned: 328 (million)
% 8.21/5.04 % (2606041)Instruction limit reached!
% 8.21/5.04 % (2606041)------------------------------
% 8.21/5.04 % (2606041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.21/5.04 % (2606041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.21/5.04 % (2606041)CaDiCaL version: 2.1.3
% 8.21/5.04 % (2606041)Termination reason: Instruction limit
% 8.21/5.04 % (2606041)Termination phase: shuffling
% 8.21/5.04 % (2606041)Time elapsed: 0.007 s
% 8.21/5.04 % (2606041)Peak memory usage: 25 MB
% 8.21/5.04 % (2606041)Instructions burned: 6 (million)
% 8.21/5.04 % (2606040)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=1610134235: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)
% 8.21/5.04 % (2606042)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1636774172:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2989 on theBenchmark for (2989ds/22Mi)
% 8.21/5.04 % (2606045)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=461743483:i=19:add=on:rtra=on_2989 on theBenchmark for (2989ds/19Mi)
% 8.21/5.04 % (2606046)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=1069706156:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/316Mi)
% 8.21/5.04 % (2606045)Instruction limit reached!
% 8.21/5.04 % (2606045)------------------------------
% 8.21/5.04 % (2606045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.21/5.04 % (2606045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.21/5.04 % (2606045)CaDiCaL version: 2.1.3
% 8.21/5.04 % (2606045)Termination reason: Instruction limit
% 8.21/5.04 % (2606045)Termination phase: shuffling
% 8.21/5.04 % (2606045)Time elapsed: 0.014 s
% 8.21/5.04 % (2606045)Peak memory usage: 26 MB
% 8.21/5.04 % (2606045)Instructions burned: 22 (million)
% 8.21/5.04 % (2606042)Instruction limit reached!
% 8.21/5.04 % (2606042)------------------------------
% 8.21/5.04 % (2606042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.21/5.04 % (2606042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.21/5.12 % (2606042)CaDiCaL version: 2.1.3
% 8.21/5.12 % (2606042)Termination reason: Instruction limit
% 8.21/5.12 % (2606042)Termination phase: shuffling
% 8.21/5.12 % (2606042)Time elapsed: 0.024 s
% 8.21/5.12 % (2606042)Peak memory usage: 26 MB
% 8.21/5.12 % (2606042)Instructions burned: 22 (million)
% 8.21/5.12 % (2606050)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=3523560199: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)
% 8.21/5.12 % (2606029)Instruction limit reached!
% 8.21/5.12 % (2606029)------------------------------
% 8.21/5.12 % (2606029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.21/5.12 % (2606029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.21/5.12 % (2606029)CaDiCaL version: 2.1.3
% 8.21/5.12 % (2606029)Termination reason: Instruction limit
% 8.21/5.12 % (2606029)Termination phase: shuffling
% 8.21/5.12 % (2606029)Time elapsed: 0.107 s
% 8.21/5.12 % (2606029)Peak memory usage: 29 MB
% 8.21/5.12 % (2606029)Instructions burned: 193 (million)
% 8.21/5.12 % (2606051)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=2797115575: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)
% 8.21/5.12 % (2606053)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3082681266:i=480:rtra=on_2989 on theBenchmark for (2989ds/480Mi)
% 8.21/5.12 % (2606037)Instruction limit reached!
% 8.21/5.12 % (2606037)------------------------------
% 8.21/5.12 % (2606037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.21/5.12 % (2606037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.21/5.12 % (2606037)CaDiCaL version: 2.1.3
% 8.21/5.12 % (2606037)Termination reason: Instruction limit
% 8.21/5.12 % (2606037)Termination phase: shuffling
% 8.21/5.12 % (2606037)Time elapsed: 0.103 s
% 8.21/5.12 % (2606037)Peak memory usage: 29 MB
% 8.21/5.12 % (2606037)Instructions burned: 181 (million)
% 8.21/5.12 % (2606051)Instruction limit reached!
% 8.21/5.12 % (2606051)------------------------------
% 8.21/5.12 % (2606051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.21/5.12 % (2606051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.21/5.12 % (2606051)CaDiCaL version: 2.1.3
% 8.21/5.12 % (2606051)Termination reason: Instruction limit
% 8.21/5.12 % (2606051)Termination phase: Property scanning
% 8.21/5.12 % (2606051)Time elapsed: 0.033 s
% 8.21/5.12 % (2606051)Peak memory usage: 26 MB
% 8.21/5.12 % (2606051)Instructions burned: 46 (million)
% 8.21/5.12 % (2606040)Instruction limit reached!
% 8.21/5.12 % (2606040)------------------------------
% 8.21/5.12 % (2606040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.21/5.12 % (2606040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.21/5.12 % (2606040)CaDiCaL version: 2.1.3
% 8.21/5.12 % (2606040)Termination reason: Instruction limit
% 8.21/5.12 % (2606040)Termination phase: shuffling
% 8.21/5.12 % (2606040)Time elapsed: 0.097 s
% 8.21/5.12 % (2606040)Peak memory usage: 28 MB
% 8.21/5.12 % (2606040)Instructions burned: 169 (million)
% 8.21/5.12 % (2606056)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2818485024:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2988 on theBenchmark for (2988ds/21Mi)
% 8.21/5.12 % (2606057)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 8.21/5.12 % (2606057)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1617518366:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/200Mi)
% 8.21/5.12 % (2606058)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3173987592:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2988 on theBenchmark for (2988ds/13Mi)
% 8.21/5.12 % (2606056)Instruction limit reached!
% 8.21/5.12 % (2606056)------------------------------
% 8.21/5.12 % (2606056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.21/5.12 % (2606056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.21/5.12 % (2606056)CaDiCaL version: 2.1.3
% 9.37/5.32 % (2606056)Termination reason: Instruction limit
% 9.37/5.32 % (2606056)Termination phase: shuffling
% 9.37/5.32 % (2606056)Time elapsed: 0.024 s
% 9.37/5.32 % (2606056)Peak memory usage: 26 MB
% 9.37/5.32 % (2606056)Instructions burned: 23 (million)
% 9.37/5.32 % (2606058)Instruction limit reached!
% 9.37/5.32 % (2606058)------------------------------
% 9.37/5.32 % (2606058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.37/5.32 % (2606058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.37/5.32 % (2606058)CaDiCaL version: 2.1.3
% 9.37/5.32 % (2606058)Termination reason: Instruction limit
% 9.37/5.32 % (2606058)Termination phase: shuffling
% 9.37/5.32 % (2606058)Time elapsed: 0.019 s
% 9.37/5.32 % (2606058)Peak memory usage: 26 MB
% 9.37/5.32 % (2606058)Instructions burned: 14 (million)
% 9.37/5.32 % (2606062)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=3813856036:i=66:s2at=3:nm=2:rtra=on:rawr=on_2988 on theBenchmark for (2988ds/66Mi)
% 9.37/5.32 % (2606063)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1654969730:i=51:fsr=off:rtra=on_2988 on theBenchmark for (2988ds/51Mi)
% 9.37/5.32 % (2606046)Instruction limit reached!
% 9.37/5.32 % (2606046)------------------------------
% 9.37/5.32 % (2606046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.37/5.32 % (2606046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.37/5.32 % (2606046)CaDiCaL version: 2.1.3
% 9.37/5.32 % (2606046)Termination reason: Instruction limit
% 9.37/5.32 % (2606046)Termination phase: shuffling
% 9.37/5.32 % (2606046)Time elapsed: 0.168 s
% 9.37/5.32 % (2606046)Peak memory usage: 32 MB
% 9.37/5.32 % (2606046)Instructions burned: 317 (million)
% 9.37/5.32 % (2606062)Instruction limit reached!
% 9.37/5.32 % (2606062)------------------------------
% 9.37/5.32 % (2606062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.37/5.32 % (2606062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.37/5.32 % (2606062)CaDiCaL version: 2.1.3
% 9.37/5.32 % (2606062)Termination reason: Instruction limit
% 9.37/5.32 % (2606062)Termination phase: shuffling
% 9.37/5.32 % (2606062)Time elapsed: 0.045 s
% 9.37/5.32 % (2606062)Peak memory usage: 27 MB
% 9.37/5.32 % (2606062)Instructions burned: 67 (million)
% 9.37/5.32 % (2606063)Instruction limit reached!
% 9.37/5.32 % (2606063)------------------------------
% 9.37/5.32 % (2606063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.37/5.32 % (2606063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.37/5.32 % (2606063)CaDiCaL version: 2.1.3
% 9.37/5.32 % (2606063)Termination reason: Instruction limit
% 9.37/5.32 % (2606063)Termination phase: shuffling
% 9.37/5.32 % (2606063)Time elapsed: 0.040 s
% 9.37/5.32 % (2606063)Peak memory usage: 26 MB
% 9.37/5.32 % (2606063)Instructions burned: 56 (million)
% 9.37/5.32 % (2606066)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=713995305:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/31Mi)
% 9.37/5.32 % (2606067)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=599880382:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2987 on theBenchmark for (2987ds/137Mi)
% 9.37/5.32 % (2606057)Instruction limit reached!
% 9.37/5.32 % (2606057)------------------------------
% 9.37/5.32 % (2606057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.37/5.32 % (2606057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.37/5.32 % (2606057)CaDiCaL version: 2.1.3
% 9.37/5.32 % (2606057)Termination reason: Instruction limit
% 9.37/5.32 % (2606057)Termination phase: shuffling
% 9.37/5.32 % (2606057)Time elapsed: 0.109 s
% 9.37/5.32 % (2606057)Peak memory usage: 29 MB
% 9.37/5.32 % (2606057)Instructions burned: 201 (million)
% 9.37/5.32 % (2606068)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=2660965134:cond=on:i=34:hud=10:nm=10:rtra=on_2987 on theBenchmark for (2987ds/34Mi)
% 9.37/5.32 % (2606071)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3338450373:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2987 on theBenchmark for (2987ds/67Mi)
% 9.37/5.32 % (2606066)Instruction limit reached!
% 9.37/5.32 % (2606066)------------------------------
% 9.37/5.32 % (2606066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.84/5.46 % (2606066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/5.46 % (2606066)CaDiCaL version: 2.1.3
% 9.84/5.46 % (2606066)Termination reason: Instruction limit
% 9.84/5.46 % (2606066)Termination phase: shuffling
% 9.84/5.46 % (2606066)Time elapsed: 0.029 s
% 9.84/5.46 % (2606066)Peak memory usage: 26 MB
% 9.84/5.46 % (2606066)Instructions burned: 32 (million)
% 9.84/5.46 % (2606068)Instruction limit reached!
% 9.84/5.46 % (2606068)------------------------------
% 9.84/5.46 % (2606068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.84/5.46 % (2606068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/5.46 % (2606068)CaDiCaL version: 2.1.3
% 9.84/5.46 % (2606068)Termination reason: Instruction limit
% 9.84/5.46 % (2606068)Termination phase: shuffling
% 9.84/5.46 % (2606068)Time elapsed: 0.030 s
% 9.84/5.46 % (2606068)Peak memory usage: 26 MB
% 9.84/5.46 % (2606068)Instructions burned: 35 (million)
% 9.84/5.46 % (2606074)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 9.84/5.46 % (2606074)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=310087425:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2987 on theBenchmark for (2987ds/180Mi)
% 9.84/5.46 % (2606050)Instruction limit reached!
% 9.84/5.46 % (2606050)------------------------------
% 9.84/5.46 % (2606050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.84/5.46 % (2606050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/5.46 % (2606050)CaDiCaL version: 2.1.3
% 9.84/5.46 % (2606050)Termination reason: Instruction limit
% 9.84/5.46 % (2606050)Termination phase: shuffling
% 9.84/5.46 % (2606050)Time elapsed: 0.231 s
% 9.84/5.46 % (2606050)Peak memory usage: 33 MB
% 9.84/5.46 % (2606050)Instructions burned: 857 (million)
% 9.84/5.46 % (2606075)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3828404845:st=2:i=246:sd=3:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/246Mi)
% 9.84/5.46 % (2606078)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2247436729:cond=on:i=96:bd=all:rtra=on_2987 on theBenchmark for (2987ds/96Mi)
% 9.84/5.46 % (2606071)Instruction limit reached!
% 9.84/5.46 % (2606071)------------------------------
% 9.84/5.46 % (2606071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.84/5.46 % (2606071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/5.46 % (2606071)CaDiCaL version: 2.1.3
% 9.84/5.46 % (2606071)Termination reason: Instruction limit
% 9.84/5.46 % (2606071)Termination phase: shuffling
% 9.84/5.46 % (2606071)Time elapsed: 0.046 s
% 9.84/5.46 % (2606071)Peak memory usage: 27 MB
% 9.84/5.46 % (2606071)Instructions burned: 67 (million)
% 9.84/5.46 % (2606067)Instruction limit reached!
% 9.84/5.46 % (2606067)------------------------------
% 9.84/5.46 % (2606067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.84/5.46 % (2606067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/5.46 % (2606067)CaDiCaL version: 2.1.3
% 9.84/5.46 % (2606067)Termination reason: Instruction limit
% 9.84/5.46 % (2606067)Termination phase: shuffling
% 9.84/5.46 % (2606067)Time elapsed: 0.080 s
% 9.84/5.46 % (2606067)Peak memory usage: 28 MB
% 9.84/5.46 % (2606067)Instructions burned: 137 (million)
% 9.84/5.46 % (2606080)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1904118453:i=427:sd=1:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/427Mi)
% 9.84/5.46 % (2606081)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1203822013:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/874Mi)
% 9.84/5.46 % (2606078)Instruction limit reached!
% 9.84/5.46 % (2606078)------------------------------
% 9.84/5.46 % (2606078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.84/5.46 % (2606078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/5.46 % (2606078)CaDiCaL version: 2.1.3
% 9.84/5.46 % (2606078)Termination reason: Instruction limit
% 9.84/5.46 % (2606078)Termination phase: shuffling
% 9.84/5.46 % (2606078)Time elapsed: 0.034 s
% 9.84/5.46 % (2606078)Peak memory usage: 27 MB
% 9.84/5.46 % (2606078)Instructions burned: 97 (million)
% 9.84/5.46 % (2606053)Instruction limit reached!
% 9.84/5.46 % (2606053)------------------------------
% 9.84/5.46 % (2606053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.84/5.46 % (2606053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/5.56 % (2606053)CaDiCaL version: 2.1.3
% 10.50/5.56 % (2606053)Termination reason: Instruction limit
% 10.50/5.56 % (2606053)Termination phase: shuffling
% 10.50/5.56 % (2606053)Time elapsed: 0.247 s
% 10.50/5.56 % (2606053)Peak memory usage: 34 MB
% 10.50/5.56 % (2606053)Instructions burned: 480 (million)
% 10.50/5.56 % (2606084)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2276328818:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/515Mi)
% 10.50/5.56 % (2606085)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=614088191:st=1.5:i=130:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/130Mi)
% 10.50/5.56 % (2606074)Instruction limit reached!
% 10.50/5.56 % (2606074)------------------------------
% 10.50/5.56 % (2606074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.50/5.56 % (2606074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/5.56 % (2606074)CaDiCaL version: 2.1.3
% 10.50/5.56 % (2606074)Termination reason: Instruction limit
% 10.50/5.56 % (2606074)Termination phase: shuffling
% 10.50/5.56 % (2606074)Time elapsed: 0.099 s
% 10.50/5.56 % (2606074)Peak memory usage: 29 MB
% 10.50/5.56 % (2606074)Instructions burned: 181 (million)
% 10.50/5.56 % (2606088)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1808552264:i=44:ep=R:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/44Mi)
% 10.50/5.56 % (2606075)Instruction limit reached!
% 10.50/5.56 % (2606075)------------------------------
% 10.50/5.56 % (2606075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.50/5.56 % (2606075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/5.56 % (2606075)CaDiCaL version: 2.1.3
% 10.50/5.56 % (2606075)Termination reason: Instruction limit
% 10.50/5.56 % (2606075)Termination phase: shuffling
% 10.50/5.56 % (2606075)Time elapsed: 0.132 s
% 10.50/5.56 % (2606075)Peak memory usage: 30 MB
% 10.50/5.56 % (2606075)Instructions burned: 247 (million)
% 10.50/5.56 % (2606085)Instruction limit reached!
% 10.50/5.56 % (2606085)------------------------------
% 10.50/5.56 % (2606085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.50/5.56 % (2606085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/5.56 % (2606085)CaDiCaL version: 2.1.3
% 10.50/5.56 % (2606085)Termination reason: Instruction limit
% 10.50/5.56 % (2606085)Termination phase: shuffling
% 10.50/5.56 % (2606085)Time elapsed: 0.074 s
% 10.50/5.56 % (2606085)Peak memory usage: 28 MB
% 10.50/5.56 % (2606085)Instructions burned: 131 (million)
% 10.50/5.56 % (2606088)Instruction limit reached!
% 10.50/5.56 % (2606088)------------------------------
% 10.50/5.56 % (2606088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.50/5.56 % (2606088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/5.56 % (2606088)CaDiCaL version: 2.1.3
% 10.50/5.56 % (2606088)Termination reason: Instruction limit
% 10.50/5.56 % (2606088)Termination phase: shuffling
% 10.50/5.56 % (2606088)Time elapsed: 0.034 s
% 10.50/5.56 % (2606088)Peak memory usage: 26 MB
% 10.50/5.56 % (2606088)Instructions burned: 46 (million)
% 10.50/5.56 % (2606090)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=840682562:s2a=on:i=571:nm=16:rtra=on_2985 on theBenchmark for (2985ds/571Mi)
% 10.50/5.56 % (2606091)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=735850430:i=450:rtra=on:ixr=off:ntd=on_2985 on theBenchmark for (2985ds/450Mi)
% 10.50/5.56 % (2606092)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3896205297:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/95Mi)
% 10.50/5.56 % (2606092)Instruction limit reached!
% 10.50/5.56 % (2606092)------------------------------
% 10.50/5.56 % (2606092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.50/5.56 % (2606092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/5.56 % (2606092)CaDiCaL version: 2.1.3
% 10.50/5.56 % (2606092)Termination reason: Instruction limit
% 10.50/5.56 % (2606092)Termination phase: shuffling
% 10.50/5.56 % (2606092)Time elapsed: 0.057 s
% 10.50/5.56 % (2606092)Peak memory usage: 27 MB
% 10.50/5.56 % (2606092)Instructions burned: 96 (million)
% 10.50/5.56 % (2606096)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=1183230354:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2984 on theBenchmark for (2984ds/65Mi)
% 11.75/5.66 % (2606080)Instruction limit reached!
% 11.75/5.66 % (2606080)------------------------------
% 11.75/5.66 % (2606080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/5.66 % (2606080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/5.66 % (2606080)CaDiCaL version: 2.1.3
% 11.75/5.66 % (2606080)Termination reason: Instruction limit
% 11.75/5.66 % (2606080)Termination phase: shuffling
% 11.75/5.66 % (2606080)Time elapsed: 0.216 s
% 11.75/5.66 % (2606080)Peak memory usage: 33 MB
% 11.75/5.66 % (2606080)Instructions burned: 428 (million)
% 11.75/5.66 % (2606098)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=1075592620: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)
% 11.75/5.66 % (2606096)Instruction limit reached!
% 11.75/5.66 % (2606096)------------------------------
% 11.75/5.66 % (2606096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/5.66 % (2606096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/5.66 % (2606096)CaDiCaL version: 2.1.3
% 11.75/5.66 % (2606096)Termination reason: Instruction limit
% 11.75/5.66 % (2606096)Termination phase: shuffling
% 11.75/5.66 % (2606096)Time elapsed: 0.044 s
% 11.75/5.66 % (2606096)Peak memory usage: 27 MB
% 11.75/5.66 % (2606096)Instructions burned: 66 (million)
% 11.75/5.66 % (2606027)Instruction limit reached!
% 11.75/5.66 % (2606027)------------------------------
% 11.75/5.66 % (2606027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/5.66 % (2606027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/5.66 % (2606027)CaDiCaL version: 2.1.3
% 11.75/5.66 % (2606027)Termination reason: Instruction limit
% 11.75/5.66 % (2606027)Termination phase: Property scanning
% 11.75/5.66 % (2606027)Time elapsed: 0.624 s
% 11.75/5.66 % (2606027)Peak memory usage: 50 MB
% 11.75/5.66 % (2606027)Instructions burned: 1240 (million)
% 11.75/5.66 % (2606100)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=1244406194: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)
% 11.75/5.66 % (2606101)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2291980954:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/375Mi)
% 11.75/5.66 % (2606084)Instruction limit reached!
% 11.75/5.66 % (2606084)------------------------------
% 11.75/5.66 % (2606084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/5.66 % (2606084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/5.66 % (2606084)CaDiCaL version: 2.1.3
% 11.75/5.66 % (2606084)Termination reason: Instruction limit
% 11.75/5.66 % (2606084)Termination phase: shuffling
% 11.75/5.66 % (2606084)Time elapsed: 0.261 s
% 11.75/5.66 % (2606084)Peak memory usage: 34 MB
% 11.75/5.66 % (2606084)Instructions burned: 516 (million)
% 11.75/5.66 % (2606098)Instruction limit reached!
% 11.75/5.66 % (2606098)------------------------------
% 11.75/5.66 % (2606098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/5.66 % (2606098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/5.66 % (2606098)CaDiCaL version: 2.1.3
% 11.75/5.66 % (2606098)Termination reason: Instruction limit
% 11.75/5.66 % (2606098)Termination phase: shuffling
% 11.75/5.66 % (2606098)Time elapsed: 0.062 s
% 11.75/5.66 % (2606098)Peak memory usage: 27 MB
% 11.75/5.66 % (2606098)Instructions burned: 105 (million)
% 11.75/5.66 % (2606104)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1849393260:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2983 on theBenchmark for (2983ds/495Mi)
% 11.75/5.66 % (2606105)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=1003511167:cond=on:i=34:hud=10:nm=10:rtra=on_2983 on theBenchmark for (2983ds/34Mi)
% 11.75/5.66 % (2606105)Instruction limit reached!
% 11.75/5.66 % (2606105)------------------------------
% 11.75/5.66 % (2606105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/5.66 % (2606105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/5.82 % (2606105)CaDiCaL version: 2.1.3
% 12.66/5.82 % (2606105)Termination reason: Instruction limit
% 12.66/5.82 % (2606105)Termination phase: shuffling
% 12.66/5.82 % (2606105)Time elapsed: 0.029 s
% 12.66/5.82 % (2606105)Peak memory usage: 26 MB
% 12.66/5.82 % (2606105)Instructions burned: 36 (million)
% 12.66/5.82 % (2606091)Instruction limit reached!
% 12.66/5.82 % (2606091)------------------------------
% 12.66/5.82 % (2606091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.66/5.82 % (2606091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/5.82 % (2606091)CaDiCaL version: 2.1.3
% 12.66/5.82 % (2606091)Termination reason: Instruction limit
% 12.66/5.82 % (2606091)Termination phase: shuffling
% 12.66/5.82 % (2606091)Time elapsed: 0.229 s
% 12.66/5.82 % (2606091)Peak memory usage: 34 MB
% 12.66/5.82 % (2606091)Instructions burned: 450 (million)
% 12.66/5.82 % (2606108)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2347847082:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2983 on theBenchmark for (2983ds/91Mi)
% 12.66/5.82 % (2606109)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2205069059: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)
% 12.66/5.82 % (2606090)Instruction limit reached!
% 12.66/5.82 % (2606090)------------------------------
% 12.66/5.82 % (2606090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.66/5.82 % (2606090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/5.82 % (2606090)CaDiCaL version: 2.1.3
% 12.66/5.82 % (2606090)Termination reason: Instruction limit
% 12.66/5.82 % (2606090)Termination phase: shuffling
% 12.66/5.82 % (2606090)Time elapsed: 0.285 s
% 12.66/5.82 % (2606090)Peak memory usage: 36 MB
% 12.66/5.82 % (2606090)Instructions burned: 572 (million)
% 12.66/5.82 % (2606109)Instruction limit reached!
% 12.66/5.82 % (2606109)------------------------------
% 12.66/5.82 % (2606109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.66/5.82 % (2606109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/5.82 % (2606109)CaDiCaL version: 2.1.3
% 12.66/5.82 % (2606109)Termination reason: Instruction limit
% 12.66/5.82 % (2606109)Termination phase: shuffling
% 12.66/5.82 % (2606109)Time elapsed: 0.044 s
% 12.66/5.82 % (2606109)Peak memory usage: 27 MB
% 12.66/5.82 % (2606109)Instructions burned: 68 (million)
% 12.66/5.82 % (2606112)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=351521205:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2982 on theBenchmark for (2982ds/22Mi)
% 12.66/5.82 % (2606108)Instruction limit reached!
% 12.66/5.82 % (2606108)------------------------------
% 12.66/5.82 % (2606108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.66/5.82 % (2606108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/5.82 % (2606108)CaDiCaL version: 2.1.3
% 12.66/5.82 % (2606108)Termination reason: Instruction limit
% 12.66/5.82 % (2606108)Termination phase: shuffling
% 12.66/5.82 % (2606108)Time elapsed: 0.057 s
% 12.66/5.82 % (2606108)Peak memory usage: 27 MB
% 12.66/5.82 % (2606108)Instructions burned: 92 (million)
% 12.66/5.82 % (2606113)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=1386525912:i=338:bd=all:ins=4:rtra=on_2982 on theBenchmark for (2982ds/338Mi)
% 12.66/5.82 % (2606081)Instruction limit reached!
% 12.66/5.82 % (2606081)------------------------------
% 12.66/5.82 % (2606081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.66/5.82 % (2606081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/5.82 % (2606081)CaDiCaL version: 2.1.3
% 12.66/5.82 % (2606081)Termination reason: Instruction limit
% 12.66/5.82 % (2606081)Termination phase: shuffling
% 12.66/5.82 % (2606081)Time elapsed: 0.435 s
% 12.66/5.82 % (2606081)Peak memory usage: 42 MB
% 12.66/5.82 % (2606081)Instructions burned: 876 (million)
% 12.66/5.82 % (2606115)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3224232826:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2982 on theBenchmark for (2982ds/28Mi)
% 12.66/5.82 % (2606112)Instruction limit reached!
% 12.66/5.82 % (2606112)------------------------------
% 12.66/5.82 % (2606112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.66/5.82 % (2606112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/5.96 % (2606112)CaDiCaL version: 2.1.3
% 13.28/5.96 % (2606112)Termination reason: Instruction limit
% 13.28/5.96 % (2606112)Termination phase: shuffling
% 13.28/5.96 % (2606112)Time elapsed: 0.025 s
% 13.28/5.96 % (2606112)Peak memory usage: 26 MB
% 13.28/5.96 % (2606112)Instructions burned: 23 (million)
% 13.28/5.96 % (2606117)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 13.28/5.96 % (2606117)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=726280772: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)
% 13.28/5.96 % (2606101)Instruction limit reached!
% 13.28/5.96 % (2606101)------------------------------
% 13.28/5.96 % (2606101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/5.96 % (2606101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/5.96 % (2606101)CaDiCaL version: 2.1.3
% 13.28/5.96 % (2606101)Termination reason: Instruction limit
% 13.28/5.96 % (2606101)Termination phase: shuffling
% 13.28/5.96 % (2606101)Time elapsed: 0.193 s
% 13.28/5.96 % (2606101)Peak memory usage: 32 MB
% 13.28/5.96 % (2606101)Instructions burned: 375 (million)
% 13.28/5.96 % (2606119)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=2973332105:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2982 on theBenchmark for (2982ds/340Mi)
% 13.28/5.96 % (2606115)Instruction limit reached!
% 13.28/5.96 % (2606115)------------------------------
% 13.28/5.96 % (2606115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/5.96 % (2606115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/5.96 % (2606115)CaDiCaL version: 2.1.3
% 13.28/5.96 % (2606115)Termination reason: Instruction limit
% 13.28/5.96 % (2606115)Termination phase: shuffling
% 13.28/5.96 % (2606115)Time elapsed: 0.027 s
% 13.28/5.96 % (2606115)Peak memory usage: 26 MB
% 13.28/5.96 % (2606115)Instructions burned: 30 (million)
% 13.28/5.96 % (2606104)Instruction limit reached!
% 13.28/5.96 % (2606104)------------------------------
% 13.28/5.96 % (2606104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/5.96 % (2606104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/5.96 % (2606104)CaDiCaL version: 2.1.3
% 13.28/5.96 % (2606104)Termination reason: Instruction limit
% 13.28/5.96 % (2606104)Termination phase: shuffling
% 13.28/5.96 % (2606104)Time elapsed: 0.174 s
% 13.28/5.96 % (2606104)Peak memory usage: 34 MB
% 13.28/5.96 % (2606104)Instructions burned: 497 (million)
% 13.28/5.96 % (2606123)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 13.28/5.96 % (2606122)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=2130689112:i=227:sd=1:bd=all:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/227Mi)
% 13.28/5.96 % (2606123)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3906717586:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/373Mi)
% 13.28/5.96 % (2606124)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2860942017:i=116:ep=RSTC:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/116Mi)
% 13.28/5.96 % (2606124)Instruction limit reached!
% 13.28/5.96 % (2606124)------------------------------
% 13.28/5.96 % (2606124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/5.96 % (2606124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/5.96 % (2606124)CaDiCaL version: 2.1.3
% 13.28/5.96 % (2606124)Termination reason: Instruction limit
% 13.28/5.96 % (2606124)Termination phase: shuffling
% 13.28/5.96 % (2606124)Time elapsed: 0.038 s
% 13.28/5.96 % (2606124)Peak memory usage: 28 MB
% 13.28/5.96 % (2606124)Instructions burned: 118 (million)
% 13.28/5.96 % (2606117)Instruction limit reached!
% 13.28/5.96 % (2606117)------------------------------
% 13.28/5.96 % (2606117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/5.96 % (2606117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/5.96 % (2606117)CaDiCaL version: 2.1.3
% 13.28/5.96 % (2606117)Termination reason: Instruction limit
% 13.28/5.96 % (2606117)Termination phase: shuffling
% 13.28/5.96 % (2606117)Time elapsed: 0.079 s
% 13.28/5.96 % (2606117)Peak memory usage: 28 MB
% 15.89/6.17 % (2606117)Instructions burned: 138 (million)
% 15.89/6.17 % (2606128)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=562806896:i=575:rtra=on_2981 on theBenchmark for (2981ds/575Mi)
% 15.89/6.17 % (2606129)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2422179: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)
% 15.89/6.17 % (2606122)Instruction limit reached!
% 15.89/6.17 % (2606122)------------------------------
% 15.89/6.17 % (2606122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.89/6.17 % (2606122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.89/6.17 % (2606122)CaDiCaL version: 2.1.3
% 15.89/6.17 % (2606122)Termination reason: Instruction limit
% 15.89/6.17 % (2606122)Termination phase: shuffling
% 15.89/6.17 % (2606122)Time elapsed: 0.125 s
% 15.89/6.17 % (2606122)Peak memory usage: 30 MB
% 15.89/6.17 % (2606122)Instructions burned: 228 (million)
% 15.89/6.17 % (2606113)Instruction limit reached!
% 15.89/6.17 % (2606113)------------------------------
% 15.89/6.17 % (2606113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.89/6.17 % (2606113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.89/6.17 % (2606113)CaDiCaL version: 2.1.3
% 15.89/6.17 % (2606113)Termination reason: Instruction limit
% 15.89/6.17 % (2606113)Termination phase: shuffling
% 15.89/6.17 % (2606113)Time elapsed: 0.178 s
% 15.89/6.17 % (2606113)Peak memory usage: 33 MB
% 15.89/6.17 % (2606113)Instructions burned: 338 (million)
% 15.89/6.17 % (2606133)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=689635897:i=421:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/421Mi)
% 15.89/6.17 % (2606132)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=613270138: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_2980 on theBenchmark for (2980ds/9840Mi)
% 15.89/6.17 % (2606119)Instruction limit reached!
% 15.89/6.17 % (2606119)------------------------------
% 15.89/6.17 % (2606119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.89/6.17 % (2606119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.89/6.17 % (2606119)CaDiCaL version: 2.1.3
% 15.89/6.17 % (2606119)Termination reason: Instruction limit
% 15.89/6.17 % (2606119)Termination phase: shuffling
% 15.89/6.17 % (2606119)Time elapsed: 0.178 s
% 15.89/6.17 % (2606119)Peak memory usage: 33 MB
% 15.89/6.17 % (2606119)Instructions burned: 341 (million)
% 15.89/6.17 % (2606136)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
% 15.89/6.17 % (2606136)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=827484553:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/270Mi)
% 15.89/6.17 % (2606123)Instruction limit reached!
% 15.89/6.17 % (2606123)------------------------------
% 15.89/6.17 % (2606123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.89/6.17 % (2606123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.89/6.17 % (2606123)CaDiCaL version: 2.1.3
% 15.89/6.17 % (2606123)Termination reason: Instruction limit
% 15.89/6.17 % (2606123)Termination phase: shuffling
% 15.89/6.17 % (2606123)Time elapsed: 0.192 s
% 15.89/6.17 % (2606123)Peak memory usage: 33 MB
% 15.89/6.17 % (2606123)Instructions burned: 374 (million)
% 15.89/6.17 % (2606138)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3257094549:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/31Mi)
% 15.89/6.17 % (2606129)Instruction limit reached!
% 15.89/6.17 % (2606129)------------------------------
% 15.89/6.17 % (2606129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.89/6.17 % (2606129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.89/6.17 % (2606129)CaDiCaL version: 2.1.3
% 15.89/6.17 % (2606129)Termination reason: Instruction limit
% 15.89/6.17 % (2606129)Termination phase: shuffling
% 15.89/6.17 % (2606129)Time elapsed: 0.144 s
% 15.89/6.17 % (2606129)Peak memory usage: 32 MB
% 18.11/6.53 % (2606129)Instructions burned: 270 (million)
% 18.11/6.53 % (2606128)Instruction limit reached!
% 18.11/6.53 % (2606128)------------------------------
% 18.11/6.53 % (2606128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.11/6.53 % (2606128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.11/6.53 % (2606128)CaDiCaL version: 2.1.3
% 18.11/6.53 % (2606128)Termination reason: Instruction limit
% 18.11/6.53 % (2606128)Termination phase: shuffling
% 18.11/6.53 % (2606128)Time elapsed: 0.162 s
% 18.11/6.53 % (2606128)Peak memory usage: 35 MB
% 18.11/6.53 % (2606128)Instructions burned: 577 (million)
% 18.11/6.53 % (2606141)dis+10_2_sil=128000:si=on:random_seed=2739808405:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2979 on theBenchmark for (2979ds/339Mi)
% 18.11/6.53 % (2606140)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 18.11/6.53 % (2606140)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
% 18.11/6.53 % (2606140)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=2211266150:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2979 on theBenchmark for (2979ds/1440Mi)
% 18.11/6.53 % (2606138)Instruction limit reached!
% 18.11/6.53 % (2606138)------------------------------
% 18.11/6.53 % (2606138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.11/6.53 % (2606138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.11/6.53 % (2606138)CaDiCaL version: 2.1.3
% 18.11/6.53 % (2606138)Termination reason: Instruction limit
% 18.11/6.53 % (2606138)Termination phase: shuffling
% 18.11/6.53 % (2606138)Time elapsed: 0.028 s
% 18.11/6.53 % (2606138)Peak memory usage: 26 MB
% 18.11/6.53 % (2606138)Instructions burned: 31 (million)
% 18.11/6.53 % (2606144)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=501403992:i=111:add=on:fgj=on:rtra=on:fdi=1024_2979 on theBenchmark for (2979ds/111Mi)
% 18.11/6.53 % (2606136)Instruction limit reached!
% 18.11/6.53 % (2606136)------------------------------
% 18.11/6.53 % (2606136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.11/6.53 % (2606136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.11/6.53 % (2606136)CaDiCaL version: 2.1.3
% 18.11/6.53 % (2606136)Termination reason: Instruction limit
% 18.11/6.53 % (2606136)Termination phase: shuffling
% 18.11/6.53 % (2606136)Time elapsed: 0.143 s
% 18.11/6.53 % (2606136)Peak memory usage: 30 MB
% 18.11/6.53 % (2606136)Instructions burned: 270 (million)
% 18.11/6.53 % (2606141)Instruction limit reached!
% 18.11/6.53 % (2606141)------------------------------
% 18.11/6.53 % (2606141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.11/6.53 % (2606141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.11/6.53 % (2606141)CaDiCaL version: 2.1.3
% 18.11/6.53 % (2606141)Termination reason: Instruction limit
% 18.11/6.53 % (2606141)Termination phase: shuffling
% 18.11/6.53 % (2606141)Time elapsed: 0.098 s
% 18.11/6.53 % (2606141)Peak memory usage: 31 MB
% 18.11/6.53 % (2606141)Instructions burned: 341 (million)
% 18.11/6.53 % (2606144)Instruction limit reached!
% 18.11/6.53 % (2606144)------------------------------
% 18.11/6.53 % (2606144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.11/6.53 % (2606144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.11/6.53 % (2606144)CaDiCaL version: 2.1.3
% 18.11/6.53 % (2606144)Termination reason: Instruction limit
% 18.11/6.53 % (2606144)Termination phase: shuffling
% 18.11/6.53 % (2606144)Time elapsed: 0.067 s
% 18.11/6.53 % (2606144)Peak memory usage: 28 MB
% 18.11/6.53 % (2606144)Instructions burned: 111 (million)
% 18.11/6.53 % (2606146)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=1798959311: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)
% 18.11/6.53 % (2606147)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=870909162:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/136Mi)
% 18.11/6.53 % (2606148)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=718693274:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2978 on theBenchmark for (2978ds/232Mi)
% 19.25/6.64 % (2606133)Instruction limit reached!
% 19.25/6.64 % (2606133)------------------------------
% 19.25/6.64 % (2606133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.25/6.64 % (2606133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/6.64 % (2606133)CaDiCaL version: 2.1.3
% 19.25/6.64 % (2606133)Termination reason: Instruction limit
% 19.25/6.64 % (2606133)Termination phase: shuffling
% 19.25/6.64 % (2606133)Time elapsed: 0.217 s
% 19.25/6.64 % (2606133)Peak memory usage: 33 MB
% 19.25/6.64 % (2606133)Instructions burned: 421 (million)
% 19.25/6.64 % (2606152)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=3449577387:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2978 on theBenchmark for (2978ds/1254Mi)
% 19.25/6.64 % (2606147)Instruction limit reached!
% 19.25/6.64 % (2606147)------------------------------
% 19.25/6.64 % (2606147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.25/6.64 % (2606147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/6.64 % (2606147)CaDiCaL version: 2.1.3
% 19.25/6.64 % (2606147)Termination reason: Instruction limit
% 19.25/6.64 % (2606147)Termination phase: shuffling
% 19.25/6.64 % (2606147)Time elapsed: 0.047 s
% 19.25/6.64 % (2606147)Peak memory usage: 28 MB
% 19.25/6.64 % (2606147)Instructions burned: 141 (million)
% 19.25/6.64 % (2606154)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 19.25/6.64 % (2606154)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=243178835:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2977 on theBenchmark for (2977ds/281Mi)
% 19.25/6.64 % (2606146)Instruction limit reached!
% 19.25/6.64 % (2606146)------------------------------
% 19.25/6.64 % (2606146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.25/6.64 % (2606146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/6.64 % (2606146)CaDiCaL version: 2.1.3
% 19.25/6.64 % (2606146)Termination reason: Instruction limit
% 19.25/6.64 % (2606146)Termination phase: shuffling
% 19.25/6.64 % (2606146)Time elapsed: 0.071 s
% 19.25/6.64 % (2606146)Peak memory usage: 28 MB
% 19.25/6.64 % (2606146)Instructions burned: 122 (million)
% 19.25/6.64 % (2606156)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3504944500:i=619:add=on:rtra=on_2977 on theBenchmark for (2977ds/619Mi)
% 19.25/6.64 % (2606148)Instruction limit reached!
% 19.25/6.64 % (2606148)------------------------------
% 19.25/6.64 % (2606148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.25/6.64 % (2606148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/6.64 % (2606148)CaDiCaL version: 2.1.3
% 19.25/6.64 % (2606148)Termination reason: Instruction limit
% 19.25/6.64 % (2606148)Termination phase: shuffling
% 19.25/6.64 % (2606148)Time elapsed: 0.127 s
% 19.25/6.64 % (2606148)Peak memory usage: 30 MB
% 19.25/6.64 % (2606148)Instructions burned: 233 (million)
% 19.25/6.64 % (2606154)Instruction limit reached!
% 19.25/6.64 % (2606154)------------------------------
% 19.25/6.64 % (2606154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.25/6.64 % (2606154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/6.64 % (2606154)CaDiCaL version: 2.1.3
% 19.25/6.64 % (2606154)Termination reason: Instruction limit
% 19.25/6.64 % (2606154)Termination phase: shuffling
% 19.25/6.64 % (2606154)Time elapsed: 0.083 s
% 19.25/6.64 % (2606154)Peak memory usage: 32 MB
% 19.25/6.64 % (2606154)Instructions burned: 281 (million)
% 19.25/6.64 % (2606159)lrs+10_1_sil=128000:si=on:urr=on:random_seed=737497798:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/212Mi)
% 19.25/6.64 % (2606158)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=2856867514:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/865Mi)
% 19.25/6.64 % (2606159)Instruction limit reached!
% 19.25/6.64 % (2606159)------------------------------
% 19.25/6.64 % (2606159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.25/6.64 % (2606159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/6.87 % (2606159)CaDiCaL version: 2.1.3
% 20.02/6.87 % (2606159)Termination reason: Instruction limit
% 20.02/6.87 % (2606159)Termination phase: shuffling
% 20.02/6.87 % (2606159)Time elapsed: 0.064 s
% 20.02/6.87 % (2606159)Peak memory usage: 29 MB
% 20.02/6.87 % (2606159)Instructions burned: 215 (million)
% 20.02/6.87 % (2606162)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3042171916:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/130Mi)
% 20.02/6.87 % (2606162)Instruction limit reached!
% 20.02/6.87 % (2606162)------------------------------
% 20.02/6.87 % (2606162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.02/6.87 % (2606162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/6.87 % (2606162)CaDiCaL version: 2.1.3
% 20.02/6.87 % (2606162)Termination reason: Instruction limit
% 20.02/6.87 % (2606162)Termination phase: shuffling
% 20.02/6.87 % (2606162)Time elapsed: 0.043 s
% 20.02/6.87 % (2606162)Peak memory usage: 28 MB
% 20.02/6.87 % (2606162)Instructions burned: 134 (million)
% 20.02/6.87 % (2606164)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2117624685:st=1.5:i=346:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/346Mi)
% 20.02/6.87 % (2606164)Instruction limit reached!
% 20.02/6.87 % (2606164)------------------------------
% 20.02/6.87 % (2606164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.02/6.87 % (2606164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/6.87 % (2606164)CaDiCaL version: 2.1.3
% 20.02/6.87 % (2606164)Termination reason: Instruction limit
% 20.02/6.87 % (2606164)Termination phase: shuffling
% 20.02/6.87 % (2606164)Time elapsed: 0.099 s
% 20.02/6.87 % (2606164)Peak memory usage: 33 MB
% 20.02/6.87 % (2606164)Instructions burned: 347 (million)
% 20.02/6.87 % (2606166)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1262528324:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2974 on theBenchmark for (2974ds/152Mi)
% 20.02/6.87 % (2606156)Instruction limit reached!
% 20.02/6.87 % (2606156)------------------------------
% 20.02/6.87 % (2606156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.02/6.87 % (2606156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/6.87 % (2606156)CaDiCaL version: 2.1.3
% 20.02/6.87 % (2606156)Termination reason: Instruction limit
% 20.02/6.87 % (2606156)Termination phase: shuffling
% 20.02/6.87 % (2606156)Time elapsed: 0.312 s
% 20.02/6.87 % (2606156)Peak memory usage: 38 MB
% 20.02/6.87 % (2606156)Instructions burned: 621 (million)
% 20.02/6.87 % (2606168)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=907658364:i=75:ep=R:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/75Mi)
% 20.02/6.87 % (2606166)Instruction limit reached!
% 20.02/6.87 % (2606166)------------------------------
% 20.02/6.87 % (2606166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.02/6.87 % (2606166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/6.87 % (2606166)CaDiCaL version: 2.1.3
% 20.02/6.87 % (2606166)Termination reason: Instruction limit
% 20.02/6.87 % (2606166)Termination phase: shuffling
% 20.02/6.87 % (2606166)Time elapsed: 0.050 s
% 20.02/6.87 % (2606166)Peak memory usage: 28 MB
% 20.02/6.87 % (2606166)Instructions burned: 156 (million)
% 20.02/6.87 % (2606170)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2096195577:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2973 on theBenchmark for (2973ds/387Mi)
% 20.02/6.87 % (2606168)Instruction limit reached!
% 20.02/6.87 % (2606168)------------------------------
% 20.02/6.87 % (2606168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.02/6.87 % (2606168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/6.87 % (2606168)CaDiCaL version: 2.1.3
% 20.02/6.87 % (2606168)Termination reason: Instruction limit
% 20.02/6.87 % (2606168)Termination phase: shuffling
% 20.02/6.87 % (2606168)Time elapsed: 0.049 s
% 20.02/6.87 % (2606168)Peak memory usage: 27 MB
% 20.02/6.87 % (2606168)Instructions burned: 75 (million)
% 20.02/6.87 % (2606172)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=3521005513:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2973 on theBenchmark for (2973ds/148Mi)
% 20.02/6.87 % (2606170)Instruction limit reached!
% 20.02/6.87 % (2606170)------------------------------
% 20.02/6.87 % (2606170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.58/6.92 % (2606170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.58/6.92 % (2606170)CaDiCaL version: 2.1.3
% 20.58/6.92 % (2606170)Termination reason: Instruction limit
% 20.58/6.92 % (2606170)Termination phase: shuffling
% 20.58/6.92 % (2606170)Time elapsed: 0.110 s
% 20.58/6.92 % (2606170)Peak memory usage: 34 MB
% 20.58/6.92 % (2606170)Instructions burned: 389 (million)
% 20.58/6.92 % (2606172)Instruction limit reached!
% 20.58/6.92 % (2606172)------------------------------
% 20.58/6.92 % (2606172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.58/6.92 % (2606172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.58/6.92 % (2606172)CaDiCaL version: 2.1.3
% 20.58/6.92 % (2606172)Termination reason: Instruction limit
% 20.58/6.92 % (2606172)Termination phase: shuffling
% 20.58/6.92 % (2606172)Time elapsed: 0.083 s
% 20.58/6.92 % (2606172)Peak memory usage: 28 MB
% 20.58/6.92 % (2606172)Instructions burned: 148 (million)
% 20.58/6.92 % (2606158)Instruction limit reached!
% 20.58/6.92 % (2606158)------------------------------
% 20.58/6.92 % (2606158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.58/6.92 % (2606158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.58/6.92 % (2606158)CaDiCaL version: 2.1.3
% 20.58/6.92 % (2606158)Termination reason: Instruction limit
% 20.58/6.92 % (2606158)Termination phase: shuffling
% 20.58/6.92 % (2606158)Time elapsed: 0.436 s
% 20.58/6.92 % (2606158)Peak memory usage: 44 MB
% 20.58/6.92 % (2606158)Instructions burned: 866 (million)
% 20.58/6.92 % (2606140)Instruction limit reached!
% 20.58/6.92 % (2606140)------------------------------
% 20.58/6.92 % (2606140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.58/6.92 % (2606140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.58/6.92 % (2606140)CaDiCaL version: 2.1.3
% 20.58/6.92 % (2606140)Termination reason: Instruction limit
% 20.58/6.92 % (2606140)Termination phase: Property scanning
% 20.58/6.92 % (2606140)Time elapsed: 0.703 s
% 20.58/6.92 % (2606140)Peak memory usage: 44 MB
% 20.58/6.92 % (2606140)Instructions burned: 1440 (million)
% 20.58/6.92 % (2606174)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=522610673:i=161:piset=and:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/161Mi)
% 20.58/6.92 % (2606175)lrs+10_1_sil=128000:si=on:random_seed=1863455962:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2972 on theBenchmark for (2972ds/888Mi)
% 20.58/6.92 % (2606178)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=1695123950:i=88:s2at=3:nm=2:rtra=on:rawr=on_2972 on theBenchmark for (2972ds/88Mi)
% 20.58/6.92 % (2606177)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=2363958446:i=136:add=on:ins=4:rtra=on:sup=off_2972 on theBenchmark for (2972ds/136Mi)
% 20.58/6.92 % (2606178)Instruction limit reached!
% 20.58/6.92 % (2606178)------------------------------
% 20.58/6.92 % (2606178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.58/6.92 % (2606178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.58/6.92 % (2606178)CaDiCaL version: 2.1.3
% 20.58/6.92 % (2606178)Termination reason: Instruction limit
% 20.58/6.92 % (2606178)Termination phase: shuffling
% 20.58/6.92 % (2606178)Time elapsed: 0.031 s
% 20.58/6.92 % (2606178)Peak memory usage: 27 MB
% 20.58/6.92 % (2606178)Instructions burned: 89 (million)
% 20.58/6.92 % (2606182)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=4292498470:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2971 on theBenchmark for (2971ds/93Mi)
% 20.58/6.92 % (2606152)Instruction limit reached!
% 20.58/6.92 % (2606152)------------------------------
% 20.58/6.92 % (2606152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.58/6.92 % (2606152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.58/6.92 % (2606152)CaDiCaL version: 2.1.3
% 20.58/6.92 % (2606152)Termination reason: Instruction limit
% 20.58/6.92 % (2606152)Termination phase: Property scanning
% 20.58/6.92 % (2606152)Time elapsed: 0.622 s
% 20.58/6.92 % (2606152)Peak memory usage: 51 MB
% 20.58/6.92 % (2606152)Instructions burned: 1254 (million)
% 20.58/6.92 % (2606184)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=123308335:i=2186:rtra=on:ixr=off_2971 on theBenchmark for (2971ds/2186Mi)
% 20.58/6.92 % (2606182)Instruction limit reached!
% 20.58/6.92 % (2606182)------------------------------
% 20.58/6.92 % (2606182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.58/6.92 % (2606182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.58/6.92 % (2606182)CaDiCaL version: 2.1.3
% 20.58/6.92 % (2606182)Termination reason: Instruction limit
% 20.58/6.92 % (2606182)Termination phase: shuffling
% 20.58/6.92 % (2606182)Time elapsed: 0.032 s
% 20.58/6.92 % (2606182)Peak memory usage: 27 MB
% 20.58/6.92 % (2606182)Instructions burned: 93 (million)
% 20.58/6.92 % (2606174)Instruction limit reached!
% 20.58/6.92 % (2606174)------------------------------
% 20.58/6.92 % (2606174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.58/6.92 % (2606174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.58/6.92 % (2606174)CaDiCaL version: 2.1.3
% 20.58/6.92 % (2606174)Termination reason: Instruction limit
% 20.58/6.92 % (2606174)Termination phase: shuffling
% 20.58/6.92 % (2606174)Time elapsed: 0.094 s
% 20.58/6.92 % (2606174)Peak memory usage: 28 MB
% 20.58/6.92 % (2606174)Instructions burned: 162 (million)
% 20.58/6.92 % (2606177)Instruction limit reached!
% 20.58/6.92 % (2606177)------------------------------
% 20.58/6.92 % (2606177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.58/6.92 % (2606177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.58/6.92 % (2606177)CaDiCaL version: 2.1.3
% 20.58/6.92 % (2606177)Termination reason: Instruction limit
% 20.58/6.92 % (2606177)Termination phase: shuffling
% 20.58/6.92 % (2606177)Time elapsed: 0.079 s
% 20.58/6.92 % (2606177)Peak memory usage: 28 MB
% 20.58/6.92 % (2606177)Instructions burned: 136 (million)
% 20.58/6.92 % (2606186)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2822687076:s2a=on:i=240:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/240Mi)
% 20.58/6.92 % (2606187)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=82340923:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2971 on theBenchmark for (2971ds/805Mi)
% 20.58/6.92 % (2606188)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 20.58/6.92 % (2606188)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=2882196975:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2971 on theBenchmark for (2971ds/391Mi)
% 20.58/6.92 % (2606186)Instruction limit reached!
% 20.58/6.92 % (2606186)------------------------------
% 20.58/6.92 % (2606186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.58/6.92 % (2606186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.58/6.92 % (2606186)CaDiCaL version: 2.1.3
% 20.58/6.92 % (2606186)Termination reason: Instruction limit
% 20.58/6.92 % (2606186)Termination phase: shuffling
% 20.58/6.92 % (2606186)Time elapsed: 0.072 s
% 20.58/6.92 % (2606186)Peak memory usage: 30 MB
% 20.58/6.92 % (2606186)Instructions burned: 243 (million)
% 20.58/6.92 % (2606192)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=2896714094:i=355:av=off:fsr=off:rtra=on:ixr=off_2970 on theBenchmark for (2970ds/355Mi)
% 20.58/6.92 % (2606192)Instruction limit reached!
% 20.58/6.92 % (2606192)------------------------------
% 20.58/6.92 % (2606192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.58/6.92 % (2606192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.58/6.92 % (2606192)CaDiCaL version: 2.1.3
% 20.58/6.92 % (2606192)Termination reason: Instruction limit
% 20.58/6.92 % (2606192)Termination phase: shuffling
% 20.58/6.92 % (2606192)Time elapsed: 0.101 s
% 20.58/6.92 % (2606192)Peak memory usage: 32 MB
% 20.58/6.92 % (2606192)Instructions burned: 358 (million)
% 20.58/6.92 % (2606194)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=3379575034:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2969 on theBenchmark for (2969ds/314Mi)
% 20.58/6.92 % (2606188)Instruction limit reached!
% 20.58/6.92 % (2606188)------------------------------
% 20.58/6.92 % (2606188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.58/6.92 % (2606188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.58/6.92 % (2606188)CaDiCaL version: 2.1.3
% 20.58/6.92 % (2606188)Termination reason: Instruction limit
% 20.58/6.93 % (2606188)Termination phase: shuffling
% 20.58/6.93 % (2606188)Time elapsed: 0.201 s
% 20.58/6.93 % (2606188)Peak memory usage: 34 MB
% 20.58/6.93 % (2606188)Instructions burned: 393 (million)
% 20.58/6.93 % (2606100) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2605961-2606100"...
% 20.58/6.93 % (2606196)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=3446605203:s2a=on:i=251:fsr=off:rtra=on_2968 on theBenchmark for (2968ds/251Mi)
% 20.58/6.93 % (2606100)...printing done.
% 20.58/6.93 % (2606100)Refutation found. Thanks to Tanya!
% 20.58/6.93 % SZS status Theorem for theBenchmark
% 20.58/6.93 % SZS output start Proof for theBenchmark
% 20.58/6.93 thf(type_def_5, type, code_natural: $tType).
% 20.58/6.93 thf(type_def_6, type, code_integer: $tType).
% 20.58/6.93 thf(type_def_7, type, code_term: $tType).
% 20.58/6.93 thf(type_def_8, type, heap_ext: $tType > $tType).
% 20.58/6.93 thf(type_def_9, type, product_unit: $tType).
% 20.58/6.93 thf(type_def_10, type, product_prod: ($tType * $tType) > $tType).
% 20.58/6.93 thf(type_def_11, type, old_node: ($tType * $tType) > $tType).
% 20.58/6.93 thf(type_def_12, type, multiset: $tType > $tType).
% 20.58/6.93 thf(type_def_13, type, assn: $tType).
% 20.58/6.93 thf(type_def_14, type, literal: $tType).
% 20.58/6.93 thf(type_def_15, type, pred: $tType > $tType).
% 20.58/6.93 thf(type_def_16, type, sum_sum: ($tType * $tType) > $tType).
% 20.58/6.93 thf(type_def_17, type, seq: $tType > $tType).
% 20.58/6.93 thf(type_def_18, type, option: $tType > $tType).
% 20.58/6.93 thf(type_def_19, type, filter: $tType > $tType).
% 20.58/6.93 thf(type_def_20, type, char: $tType).
% 20.58/6.93 thf(type_def_21, type, list: $tType > $tType).
% 20.58/6.93 thf(type_def_22, type, set: $tType > $tType).
% 20.58/6.93 thf(type_def_23, type, rat: $tType).
% 20.58/6.93 thf(type_def_24, type, num: $tType).
% 20.58/6.93 thf(type_def_25, type, nat: $tType).
% 20.58/6.93 thf(type_def_26, type, int: $tType).
% 20.58/6.93 thf(type_def_27, type, itself: $tType > $tType).
% 20.58/6.93 thf(type_def_28, type, sTfun: ($tType * $tType) > $tType).
% 20.58/6.93 thf(func_def_0, type, typerep: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_1, type, enum: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_2, type, code_term_of: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_3, type, type: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_4, type, cl_HOL_Oequal: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_5, type, dvd: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_6, type, one: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_7, type, idom: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_8, type, ring: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_9, type, zero: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_10, type, numeral: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_11, type, power: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_12, type, field: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_13, type, ring_gcd: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_14, type, minus: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_15, type, times: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_16, type, inf: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_17, type, sup: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_18, type, abs_if: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_19, type, ring_1: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_20, type, uminus: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_21, type, bot: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_22, type, ord: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_23, type, top: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_24, type, inverse: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_25, type, semiring: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_26, type, ring_char_0: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_27, type, neg_numeral: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_28, type, order: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_29, type, comm_ring: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_30, type, mult_zero: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_31, type, semiring_Gcd: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_32, type, semiring_gcd: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_33, type, group_add: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_34, type, lattice: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_35, type, no_bot: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_36, type, no_top: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_37, type, semiring_0: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_38, type, semiring_1: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_39, type, finite_finite: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_40, type, monoid_add: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_41, type, comm_ring_1: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_42, type, idom_divide: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_43, type, monoid_mult: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_44, type, linorder: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_45, type, preorder: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_46, type, ring_parity: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_47, type, idom_abs_sgn: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_48, type, ordered_ring: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_49, type, zero_neq_one: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_50, type, countable: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_51, type, finite_lattice: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_52, type, field_char_0: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_53, type, ab_group_add: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_54, type, semiring_char_0: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_55, type, order_bot: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_56, type, order_top: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_57, type, wellorder: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_58, type, comm_semiring: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_59, type, zero_less_one: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_60, type, division_ring: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_61, type, semigroup_add: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_62, type, semiring_numeral: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_63, type, semidom_divide: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_64, type, semidom_modulo: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_65, type, complete_Inf: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_66, type, complete_Sup: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_67, type, semigroup_mult: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_68, type, dense_order: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_69, type, comm_semiring_0: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_70, type, comm_semiring_1: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_71, type, linordered_idom: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_72, type, linordered_ring: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_73, type, semiring_modulo: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_74, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_75, type, semiring_parity: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_76, type, ordered_ring_abs: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_77, type, ordered_semiring: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_78, type, linordered_field: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_79, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_80, type, comm_monoid_diff: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_81, type, comm_monoid_mult: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_82, type, algebraic_semidom: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_83, type, ab_semigroup_mult: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_84, type, bounded_lattice: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_85, type, distrib_lattice: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_86, type, semilattice_inf: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_87, type, semilattice_sup: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_88, type, dense_linorder: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_89, type, quickcheck_random: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_90, type, linordered_semidom: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_91, type, ordered_semiring_0: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_92, type, linordered_semiring: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_93, type, comple9053668089753744459l_ccpo: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_94, type, finite8700451911770168679attice: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_95, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_96, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_97, type, linord6961819062388156250ring_1: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_98, type, normal8620421768224518004emidom: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_99, type, ordere2520102378445227354miring: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_100, type, bit_semiring_bits: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_101, type, bounded_lattice_bot: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_102, type, bounded_lattice_top: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_103, type, comm_s4317794764714335236cancel: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_104, type, linord4710134922213307826strict: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_105, type, cancel1802427076303600483id_add: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_106, type, ring_15535105094025558882visors: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_107, type, cancel2418104881723323429up_add: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_108, type, linord5086331880401160121up_add: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_109, type, ordere6911136660526730532id_add: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_110, type, archim2362893244070406136eiling: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_111, type, semiri6843258321239162965malize: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_112, type, ordere166539214618696060dd_abs: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_113, type, ordere6658533253407199908up_add: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_114, type, semiri3467727345109120633visors: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_115, type, boolea8198339166811842893lgebra: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_116, type, quickc658316121487927005ustive: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_117, type, linord8928482502909563296strict: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_118, type, semido2269285787275462019factor: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_119, type, linord181362715937106298miring: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_120, type, bit_ri3973907225187159222ations: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_121, type, comple6319245703460814977attice: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_122, type, linord4140545234300271783up_add: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_123, type, unboun7993243217541854897norder: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_124, type, linord715952674999750819strict: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_125, type, archim462609752435547400_field: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_126, type, comple5582772986160207858norder: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_127, type, bounde4346867609351753570nf_top: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_128, type, bounde4967611905675639751up_bot: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_129, type, euclid3725896446679973847miring: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_130, type, canoni5634975068530333245id_add: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_131, type, ordere8940638589300402666id_add: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_132, type, strict7427464778891057005id_add: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_133, type, quickc3360725361186068524ustive: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_134, type, linord2810124833399127020strict: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_135, type, bit_se359711467146920520ations: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_136, type, ordere2412721322843649153imp_le: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_137, type, ordere580206878836729694up_add: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_138, type, ordere1170586879665033532d_diff: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_139, type, strict9044650504122735259up_add: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_140, type, semiri6575147826004484403cancel: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_141, type, euclid8851590272496341667cancel: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_142, type, unique1627219031080169319umeral: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_143, type, comple489889107523837845lgebra: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_144, type, comple592849572758109894attice: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_145, type, normal6328177297339901930cative: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_146, type, euclid4440199948858584721cancel: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_147, type, euclid3128863361964157862miring: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_148, type, ordere1937475149494474687imp_le: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_149, type, euclid8789492081693882211th_nat: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_150, type, euclid5411537665997757685th_nat: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_151, type, semiri1453513574482234551roduct: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_152, type, bit_un5681908812861735899ations: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_153, type, condit1219197933456340205attice: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_154, type, condit6923001295902523014norder: !>[X0: $tType]:($o)).
% 20.58/6.93 thf(func_def_155, type, archimedean_ceiling: !>[X0: $tType]:((X0 > int))).
% 20.58/6.93 thf(func_def_156, type, archim6421214686448440834_floor: !>[X0: $tType]:((X0 > int))).
% 20.58/6.93 thf(func_def_157, type, archimedean_frac: !>[X0: $tType]:((X0 > X0))).
% 20.58/6.93 thf(func_def_158, type, archimedean_round: !>[X0: $tType]:((X0 > int))).
% 20.58/6.93 thf(func_def_159, type, abs_assn: ((product_prod @ heap_ext @ product_unit @ set @ nat > $o) > assn)).
% 20.58/6.93 thf(func_def_160, type, rep_assn: (assn > product_prod @ heap_ext @ product_unit @ set @ nat > $o)).
% 20.58/6.93 thf(func_def_161, type, in_range: (product_prod @ heap_ext @ product_unit @ set @ nat > $o)).
% 20.58/6.93 thf(func_def_162, type, one_assn_raw: (product_prod @ heap_ext @ product_unit @ set @ nat > $o)).
% 20.58/6.93 thf(func_def_163, type, proper: ((product_prod @ heap_ext @ product_unit @ set @ nat > $o) > $o)).
% 20.58/6.93 thf(func_def_164, type, relH: (set @ nat > heap_ext @ product_unit > heap_ext @ product_unit > $o)).
% 20.58/6.93 thf(func_def_165, 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)).
% 20.58/6.93 thf(func_def_166, 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)).
% 20.58/6.93 thf(func_def_167, type, wand_assn: (assn > assn > assn)).
% 20.58/6.93 thf(func_def_168, 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)).
% 20.58/6.93 thf(func_def_169, 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)).
% 20.58/6.93 thf(func_def_170, type, bNF_Cardinal_Csum: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > set @ product_prod @ X1 @ X1) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 20.58/6.93 thf(func_def_171, type, bNF_Cardinal_cexp: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ (X1 > X0) @ (X1 > X0)))).
% 20.58/6.93 thf(func_def_172, type, bNF_Cardinal_cfinite: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 20.58/6.93 thf(func_def_173, type, bNF_Ca4139267488887388095finite: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 20.58/6.93 thf(func_def_174, type, bNF_Cardinal_cone: set @ product_prod @ product_unit @ product_unit).
% 20.58/6.93 thf(func_def_175, type, bNF_Cardinal_cprod: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 20.58/6.93 thf(func_def_176, type, bNF_Cardinal_csum: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ sum_sum @ X0 @ X1 @ sum_sum @ X0 @ X1))).
% 20.58/6.93 thf(func_def_177, type, bNF_Cardinal_ctwo: set @ product_prod @ $o @ $o).
% 20.58/6.93 thf(func_def_178, type, bNF_Cardinal_czero: !>[X0: $tType]:(set @ product_prod @ X0 @ X0)).
% 20.58/6.93 thf(func_def_179, type, bNF_Ca8387033319878233205ardSuc: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ set @ X0 @ set @ X0))).
% 20.58/6.93 thf(func_def_180, type, bNF_Ca6860139660246222851ard_of: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0))).
% 20.58/6.93 thf(func_def_181, type, bNF_Ca8970107618336181345der_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 20.58/6.93 thf(func_def_182, type, bNF_Ca7293521722713021262ofinal: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 20.58/6.93 thf(func_def_183, type, bNF_Ca6246979054910435723ardSuc: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ set @ X0 @ set @ X0 > $o))).
% 20.58/6.93 thf(func_def_184, type, bNF_Ca8665028551170535155natLeq: set @ product_prod @ nat @ nat).
% 20.58/6.93 thf(func_def_185, type, bNF_Ca8459412986667044542atLess: set @ product_prod @ nat @ nat).
% 20.58/6.93 thf(func_def_186, type, bNF_Ca7133664381575040944arCard: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 20.58/6.93 thf(func_def_187, type, bNF_Ca3754400796208372196lChain: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > $o))).
% 20.58/6.93 thf(func_def_188, type, bNF_id_bnf: !>[X0: $tType]:((X0 > X0))).
% 20.58/6.93 thf(func_def_189, type, bNF_Gr: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > set @ product_prod @ X0 @ X1))).
% 20.58/6.93 thf(func_def_190, type, bNF_Grp: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X0 > X1 > $o))).
% 20.58/6.93 thf(func_def_191, type, bNF_collect: !>[X0: $tType, X1: $tType]:((set @ (X0 > set @ X1) > X0 > set @ X1))).
% 20.58/6.93 thf(func_def_192, type, bNF_eq_onp: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_193, type, bNF_fstOp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > product_prod @ X0 @ X2 > product_prod @ X0 @ X1))).
% 20.58/6.93 thf(func_def_194, type, bNF_pick_middlep: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > X1))).
% 20.58/6.93 thf(func_def_195, type, bNF_rel_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (X2 > X3 > $o) > (X0 > X2) > (X1 > X3) > $o))).
% 20.58/6.93 thf(func_def_196, type, bNF_rel_set: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ X0 > set @ X1 > $o))).
% 20.58/6.93 thf(func_def_197, type, bNF_rel_sum: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (X2 > X3 > $o) > sum_sum @ X0 @ X2 > sum_sum @ X1 @ X3 > $o))).
% 20.58/6.93 thf(func_def_198, type, bNF_sndOp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > product_prod @ X0 @ X2 > product_prod @ X1 @ X2))).
% 20.58/6.93 thf(func_def_199, type, bNF_vimage2p: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X0 > X1) > (X2 > X3) > (X1 > X3 > X4) > X0 > X2 > X4))).
% 20.58/6.93 thf(func_def_200, type, bNF_Greatest_Shift: !>[X0: $tType]:((set @ list @ X0 > X0 > set @ list @ X0))).
% 20.58/6.93 thf(func_def_201, type, bNF_Greatest_Succ: !>[X0: $tType]:((set @ list @ X0 > list @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_202, type, bNF_Gr5436034075474128252omCard: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ product_prod @ X1 @ X1 > X1 > X0))).
% 20.58/6.93 thf(func_def_203, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > X1) > (X0 > X2) > set @ product_prod @ X1 @ X2))).
% 20.58/6.93 thf(func_def_204, type, bNF_Greatest_image2p: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > (X0 > X2 > $o) > X1 > X3 > $o))).
% 20.58/6.93 thf(func_def_205, type, bNF_Gr4221423524335903396lImage: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > set @ product_prod @ X1 @ X1))).
% 20.58/6.93 thf(func_def_206, type, bNF_Gr7122648621184425601vImage: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1) > set @ product_prod @ X0 @ X0))).
% 20.58/6.93 thf(func_def_207, type, bNF_Greatest_toCard: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ product_prod @ X1 @ X1 > X0 > X1))).
% 20.58/6.93 thf(func_def_208, type, bNF_Gr1419584066657907630d_pred: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1) > $o))).
% 20.58/6.93 thf(func_def_209, type, bNF_Greatest_univ: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 20.58/6.93 thf(func_def_210, type, bNF_Wellorder_Func: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ (X0 > X1)))).
% 20.58/6.93 thf(func_def_211, type, bNF_We4925052301507509544nc_map: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((set @ X0 > (X1 > X2) > (X0 > X3) > (X3 > X1) > X0 > X2))).
% 20.58/6.93 thf(func_def_212, type, bNF_Wellorder_bsqr: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ product_prod @ X0 @ X0 @ product_prod @ X0 @ X0))).
% 20.58/6.93 thf(func_def_213, type, bNF_Wellorder_curr: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (product_prod @ X0 @ X1 > X2) > X0 > X1 > X2))).
% 20.58/6.93 thf(func_def_214, type, bNF_We2720479622203943262_image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > set @ product_prod @ X1 @ X1))).
% 20.58/6.93 thf(func_def_215, type, bNF_We413866401316099525erIncl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ set @ X0 @ set @ X0))).
% 20.58/6.93 thf(func_def_216, type, bNF_Wellorder_ordIso: !>[X0: $tType, X1: $tType]:(set @ product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X1 @ X1)).
% 20.58/6.93 thf(func_def_217, type, bNF_Wellorder_ordLeq: !>[X0: $tType, X1: $tType]:(set @ product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X1 @ X1)).
% 20.58/6.93 thf(func_def_218, type, bNF_We4044943003108391690rdLess: !>[X0: $tType, X1: $tType]:(set @ product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X1 @ X1)).
% 20.58/6.93 thf(func_def_219, type, bNF_We8469521843155493636filter: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_220, type, bNF_Wellorder_compat: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1) > $o))).
% 20.58/6.93 thf(func_def_221, type, bNF_Wellorder_embed: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1) > $o))).
% 20.58/6.93 thf(func_def_222, type, bNF_Wellorder_embedS: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1) > $o))).
% 20.58/6.93 thf(func_def_223, type, bNF_Wellorder_iso: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1) > $o))).
% 20.58/6.93 thf(func_def_224, type, bNF_Wellorder_wo_rel: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 20.58/6.93 thf(func_def_225, type, bNF_We4791949203932849705sMinim: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_226, type, bNF_We1388413361240627857o_max2: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_227, type, bNF_We6954850376910717587_minim: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_228, type, bNF_Wellorder_wo_suc: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_229, type, basic_fsts: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > set @ X0))).
% 20.58/6.93 thf(func_def_230, type, basic_fstsp: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0 > $o))).
% 20.58/6.93 thf(func_def_231, type, basic_pred_fun: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > $o) > (X0 > X1) > $o))).
% 20.58/6.93 thf(func_def_232, type, basic_pred_prod: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > $o) > product_prod @ X0 @ X1 > $o))).
% 20.58/6.93 thf(func_def_233, 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))).
% 20.58/6.93 thf(func_def_234, type, basic_setl: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > set @ X0))).
% 20.58/6.93 thf(func_def_235, type, basic_setlp: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X0 > $o))).
% 20.58/6.93 thf(func_def_236, type, basic_setr: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > set @ X1))).
% 20.58/6.93 thf(func_def_237, type, basic_setrp: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X1 > $o))).
% 20.58/6.93 thf(func_def_238, type, basic_snds: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > set @ X1))).
% 20.58/6.93 thf(func_def_239, type, basic_sndsp: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1 > $o))).
% 20.58/6.93 thf(func_def_240, type, binomial: (nat > nat > nat)).
% 20.58/6.93 thf(func_def_241, type, gbinomial: !>[X0: $tType]:((X0 > nat > X0))).
% 20.58/6.93 thf(func_def_242, type, bit_and_int_rel: (product_prod @ int @ int > product_prod @ int @ int > $o)).
% 20.58/6.93 thf(func_def_243, type, bit_and_not_num: (num > num > option @ num)).
% 20.58/6.93 thf(func_def_244, type, bit_and_not_num_rel: (product_prod @ num @ num > product_prod @ num @ num > $o)).
% 20.58/6.93 thf(func_def_245, type, bit_concat_bit: (nat > int > int > int)).
% 20.58/6.93 thf(func_def_246, type, bit_or_not_num_neg: (num > num > num)).
% 20.58/6.93 thf(func_def_247, type, bit_or3848514188828904588eg_rel: (product_prod @ num @ num > product_prod @ num @ num > $o)).
% 20.58/6.93 thf(func_def_248, type, bit_ri4277139882892585799ns_not: !>[X0: $tType]:((X0 > X0))).
% 20.58/6.93 thf(func_def_249, type, bit_ri4674362597316999326ke_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 20.58/6.93 thf(func_def_250, type, bit_se5824344872417868541ns_and: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_251, type, bit_se4197421643247451524op_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 20.58/6.93 thf(func_def_252, type, bit_se8732182000553998342ip_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 20.58/6.93 thf(func_def_253, type, bit_se2239418461657761734s_mask: !>[X0: $tType]:((nat > X0))).
% 20.58/6.93 thf(func_def_254, type, bit_se1065995026697491101ons_or: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_255, type, bit_se4730199178511100633sh_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 20.58/6.93 thf(func_def_256, type, bit_se5668285175392031749et_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 20.58/6.93 thf(func_def_257, type, bit_se2584673776208193580ke_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 20.58/6.93 thf(func_def_258, type, bit_se2638667681897837118et_bit: !>[X0: $tType]:((nat > X0 > X0))).
% 20.58/6.93 thf(func_def_259, type, bit_se5824344971392196577ns_xor: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_260, type, bit_se5641148757651400278ts_bit: !>[X0: $tType]:((X0 > nat > $o))).
% 20.58/6.93 thf(func_def_261, type, bit_se6407376104438227557le_bit: !>[X0: $tType]:((itself @ X0 > nat > $o))).
% 20.58/6.93 thf(func_def_262, type, bit_take_bit_num: (nat > num > option @ num)).
% 20.58/6.93 thf(func_def_263, type, bit_un7362597486090784418nd_num: (num > num > option @ num)).
% 20.58/6.93 thf(func_def_264, type, bit_un4731106466462545111um_rel: (product_prod @ num @ num > product_prod @ num @ num > $o)).
% 20.58/6.93 thf(func_def_265, type, bit_un6697907153464112080or_num: (num > num > num)).
% 20.58/6.93 thf(func_def_266, type, bit_un4773296044027857193um_rel: (product_prod @ num @ num > product_prod @ num @ num > $o)).
% 20.58/6.93 thf(func_def_267, type, bit_un2480387367778600638or_num: (num > num > option @ num)).
% 20.58/6.93 thf(func_def_268, type, bit_un2901131394128224187um_rel: (product_prod @ num @ num > product_prod @ num @ num > $o)).
% 20.58/6.93 thf(func_def_269, type, boolea2506097494486148201lgebra: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > (X0 > X0) > X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_270, type, boolea6902313364301356556axioms: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > (X0 > X0) > X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_271, type, boolea3799213064322606851m_diff: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > (X0 > X0) > X0 > X0 > (X0 > X0 > X0) > $o))).
% 20.58/6.93 thf(func_def_272, type, boolea5476839437570043046axioms: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > (X0 > X0) > (X0 > X0 > X0) > $o))).
% 20.58/6.93 thf(func_def_273, type, code_Suc: (code_natural > code_natural)).
% 20.58/6.93 thf(func_def_274, type, code_bit_cut_integer: (code_integer > product_prod @ code_integer @ $o)).
% 20.58/6.93 thf(func_def_275, type, code_cr_integer: (int > code_integer > $o)).
% 20.58/6.93 thf(func_def_276, type, code_cr_natural: (nat > code_natural > $o)).
% 20.58/6.93 thf(func_def_277, type, code_divmod_abs: (code_integer > code_integer > product_prod @ code_integer @ code_integer)).
% 20.58/6.93 thf(func_def_278, type, code_divmod_integer: (code_integer > code_integer > product_prod @ code_integer @ code_integer)).
% 20.58/6.93 thf(func_def_279, type, code_dup: (code_integer > code_integer)).
% 20.58/6.93 thf(func_def_280, type, code_int_of_integer: (code_integer > int)).
% 20.58/6.93 thf(func_def_281, type, code_integer_of_int: (int > code_integer)).
% 20.58/6.93 thf(func_def_282, type, code_integer_of_nat: (nat > code_integer)).
% 20.58/6.93 thf(func_def_283, type, code_integer_of_num: (num > code_integer)).
% 20.58/6.93 thf(func_def_284, type, code_nat_of_integer: (code_integer > nat)).
% 20.58/6.93 thf(func_def_285, type, code_case_natural: !>[X0: $tType]:((X0 > (code_natural > X0) > code_natural > X0))).
% 20.58/6.93 thf(func_def_286, type, code_nat_of_natural: (code_natural > nat)).
% 20.58/6.93 thf(func_def_287, type, code_natural_of_nat: (nat > code_natural)).
% 20.58/6.93 thf(func_def_288, type, code_rec_natural: !>[X0: $tType]:((X0 > (code_natural > X0 > X0) > code_natural > X0))).
% 20.58/6.93 thf(func_def_289, type, code_rec_set_natural: !>[X0: $tType]:((X0 > (code_natural > X0 > X0) > code_natural > X0 > $o))).
% 20.58/6.93 thf(func_def_290, type, code_negative: (num > code_integer)).
% 20.58/6.93 thf(func_def_291, type, code_num_of_integer: (code_integer > num)).
% 20.58/6.93 thf(func_def_292, type, code_pcr_integer: (int > code_integer > $o)).
% 20.58/6.93 thf(func_def_293, type, code_sub: (num > num > code_integer)).
% 20.58/6.93 thf(func_def_294, type, complete_Inf_Inf: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_295, type, complete_Sup_Sup: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_296, type, comple7512665784863727008ratesp: !>[X0: $tType]:(((X0 > X0) > X0 > $o))).
% 20.58/6.93 thf(func_def_297, type, comple1602240252501008431_chain: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 20.58/6.93 thf(func_def_298, type, condit8047198070973881523_above: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 20.58/6.93 thf(func_def_299, type, condit8119078960628432327_below: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 20.58/6.93 thf(func_def_300, type, condit941137186595557371_above: !>[X0: $tType]:((set @ X0 > $o))).
% 20.58/6.93 thf(func_def_301, type, condit1013018076250108175_below: !>[X0: $tType]:((set @ X0 > $o))).
% 20.58/6.93 thf(func_def_302, type, condit622319405099724424ng_bdd: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_303, type, condit16957441358409770ng_bdd: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 20.58/6.93 thf(func_def_304, type, from_nat: !>[X0: $tType]:((nat > X0))).
% 20.58/6.93 thf(func_def_305, type, nat_to_rat_surj: (nat > rat)).
% 20.58/6.93 thf(func_def_306, type, nth_item: !>[X0: $tType]:((nat > set @ old_node @ X0 @ product_unit))).
% 20.58/6.93 thf(func_def_307, type, nth_item_rel: (nat > nat > $o)).
% 20.58/6.93 thf(func_def_308, type, to_nat: !>[X0: $tType]:((X0 > nat))).
% 20.58/6.93 thf(func_def_309, type, adjust_div: (product_prod @ int @ int > int)).
% 20.58/6.93 thf(func_def_310, type, adjust_mod: (int > int > int)).
% 20.58/6.93 thf(func_def_311, type, divmod_nat: (nat > nat > product_prod @ nat @ nat)).
% 20.58/6.93 thf(func_def_312, type, eucl_rel_int: (int > int > product_prod @ int @ int > $o)).
% 20.58/6.93 thf(func_def_313, type, unique5940410009612947441es_aux: !>[X0: $tType]:((product_prod @ X0 @ X0 > $o))).
% 20.58/6.93 thf(func_def_314, type, unique8689654367752047608divmod: !>[X0: $tType]:((num > num > product_prod @ X0 @ X0))).
% 20.58/6.93 thf(func_def_315, type, unique1321980374590559556d_step: !>[X0: $tType]:((num > product_prod @ X0 @ X0 > product_prod @ X0 @ X0))).
% 20.58/6.93 thf(func_def_316, type, equiv_congruent: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > $o))).
% 20.58/6.93 thf(func_def_317, type, equiv_congruent2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1 > X2) > $o))).
% 20.58/6.93 thf(func_def_318, type, equiv_equiv: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 20.58/6.93 thf(func_def_319, type, equiv_equivp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_320, type, equiv_part_equivp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_321, type, equiv_proj: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > X0 > set @ X1))).
% 20.58/6.93 thf(func_def_322, type, equiv_quotient: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > set @ set @ X0))).
% 20.58/6.93 thf(func_def_323, type, euclid6346220572633701492n_size: !>[X0: $tType]:((X0 > nat))).
% 20.58/6.93 thf(func_def_324, type, euclid7384307370059645450egment: !>[X0: $tType]:((X0 > X0))).
% 20.58/6.93 thf(func_def_325, type, comm_s3205402744901411588hammer: !>[X0: $tType]:((X0 > nat > X0))).
% 20.58/6.93 thf(func_def_326, type, semiring_char_0_fact: !>[X0: $tType]:((nat > X0))).
% 20.58/6.93 thf(func_def_327, type, inverse_inverse: !>[X0: $tType]:((X0 > X0))).
% 20.58/6.93 thf(func_def_328, type, at_bot: !>[X0: $tType]:(filter @ X0)).
% 20.58/6.93 thf(func_def_329, type, at_top: !>[X0: $tType]:(filter @ X0)).
% 20.58/6.93 thf(func_def_330, type, cofinite: !>[X0: $tType]:(filter @ X0)).
% 20.58/6.93 thf(func_def_331, type, eventually: !>[X0: $tType]:(((X0 > $o) > filter @ X0 > $o))).
% 20.58/6.93 thf(func_def_332, type, abs_filter: !>[X0: $tType]:((((X0 > $o) > $o) > filter @ X0))).
% 20.58/6.93 thf(func_def_333, type, filtercomap: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X1 > filter @ X0))).
% 20.58/6.93 thf(func_def_334, type, filterlim: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X1 > filter @ X0 > $o))).
% 20.58/6.93 thf(func_def_335, type, filtermap: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X0 > filter @ X1))).
% 20.58/6.93 thf(func_def_336, type, finite5375528669736107172at_top: !>[X0: $tType]:((set @ X0 > filter @ set @ X0))).
% 20.58/6.93 thf(func_def_337, type, frequently: !>[X0: $tType]:(((X0 > $o) > filter @ X0 > $o))).
% 20.58/6.93 thf(func_def_338, type, map_filter_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > filter @ X0 > filter @ X1))).
% 20.58/6.93 thf(func_def_339, type, principal: !>[X0: $tType]:((set @ X0 > filter @ X0))).
% 20.58/6.93 thf(func_def_340, type, prod_filter: !>[X0: $tType, X1: $tType]:((filter @ X0 > filter @ X1 > filter @ product_prod @ X0 @ X1))).
% 20.58/6.93 thf(func_def_341, type, rel_filter: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > filter @ X0 > filter @ X1 > $o))).
% 20.58/6.93 thf(func_def_342, type, finite_Fpow: !>[X0: $tType]:((set @ X0 > set @ set @ X0))).
% 20.58/6.93 thf(func_def_343, type, finite_card: !>[X0: $tType]:((set @ X0 > nat))).
% 20.58/6.93 thf(func_def_344, type, finite6289374366891150609ommute: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 20.58/6.93 thf(func_def_345, type, finite4664212375090638736ute_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 20.58/6.93 thf(func_def_346, type, finite_comp_fun_idem: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 20.58/6.93 thf(func_def_347, type, finite673082921795544331dem_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 20.58/6.93 thf(func_def_348, type, finite_finite2: !>[X0: $tType]:((set @ X0 > $o))).
% 20.58/6.93 thf(func_def_349, type, finite_fold: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > set @ X0 > X1))).
% 20.58/6.93 thf(func_def_350, type, finite_fold_graph: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > set @ X0 > X1 > $o))).
% 20.58/6.93 thf(func_def_351, type, finite_folding: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 20.58/6.93 thf(func_def_352, type, finite_folding_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > X1) > $o))).
% 20.58/6.93 thf(func_def_353, type, finite_folding_F: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > set @ X0 > X1))).
% 20.58/6.93 thf(func_def_354, type, bij_betw: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1 > $o))).
% 20.58/6.93 thf(func_def_355, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 20.58/6.93 thf(func_def_356, type, fun_upd: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > X1 > X0 > X1))).
% 20.58/6.93 thf(func_def_357, type, id: !>[X0: $tType]:((X0 > X0))).
% 20.58/6.93 thf(func_def_358, type, inj_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 20.58/6.93 thf(func_def_359, type, map_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > (X1 > X2) > X0 > X3))).
% 20.58/6.93 thf(func_def_360, type, override_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > set @ X0 > X0 > X1))).
% 20.58/6.93 thf(func_def_361, type, strict_mono_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 20.58/6.93 thf(func_def_362, type, the_inv_into: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X1 > X0))).
% 20.58/6.93 thf(func_def_363, type, fun_THE_default: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_364, type, fun_max_strict: set @ product_prod @ set @ product_prod @ nat @ nat @ set @ product_prod @ nat @ nat).
% 20.58/6.93 thf(func_def_365, type, fun_max_weak: set @ product_prod @ set @ product_prod @ nat @ nat @ set @ product_prod @ nat @ nat).
% 20.58/6.93 thf(func_def_366, type, fun_min_strict: set @ product_prod @ set @ product_prod @ nat @ nat @ set @ product_prod @ nat @ nat).
% 20.58/6.93 thf(func_def_367, type, fun_min_weak: set @ product_prod @ set @ product_prod @ nat @ nat @ set @ product_prod @ nat @ nat).
% 20.58/6.93 thf(func_def_368, type, fun_pair_leq: set @ product_prod @ product_prod @ nat @ nat @ product_prod @ nat @ nat).
% 20.58/6.93 thf(func_def_369, type, fun_pair_less: set @ product_prod @ product_prod @ nat @ nat @ product_prod @ nat @ nat).
% 20.58/6.93 thf(func_def_370, type, fun_reduction_pair: !>[X0: $tType]:((product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X0 @ X0 > $o))).
% 20.58/6.93 thf(func_def_371, type, fun_rp_inv_image: !>[X0: $tType, X1: $tType]:((product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X0 @ X0 > (X1 > X0) > product_prod @ set @ product_prod @ X1 @ X1 @ set @ product_prod @ X1 @ X1))).
% 20.58/6.93 thf(func_def_372, type, gcd_Gcd: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_373, type, gcd_Lcm: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_374, type, bezw: (nat > nat > product_prod @ int @ int)).
% 20.58/6.93 thf(func_def_375, type, bezw_rel: (product_prod @ nat @ nat > product_prod @ nat @ nat > $o)).
% 20.58/6.93 thf(func_def_376, type, bounde8507323023520639062attice: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > X0 > (X0 > X0) > $o))).
% 20.58/6.93 thf(func_def_377, type, bounde6485984586167503788ce_set: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > X0 > (X0 > X0) > $o))).
% 20.58/6.93 thf(func_def_378, type, bounde2362111253966948842tice_F: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > X0 > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_379, type, gcd_gcd: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_380, type, gcd_lcm: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_381, type, gcd_nat_rel: (product_prod @ nat @ nat > product_prod @ nat @ nat > $o)).
% 20.58/6.93 thf(func_def_382, type, semiri4206861660011772517g_char: !>[X0: $tType]:((itself @ X0 > nat))).
% 20.58/6.93 thf(func_def_383, type, semiring_gcd_Gcd_fin: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_384, type, semiring_gcd_Lcm_fin: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_385, type, abel_semigroup: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 20.58/6.93 thf(func_def_386, type, abel_s757365448890700780axioms: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 20.58/6.93 thf(func_def_387, type, abs_abs: !>[X0: $tType]:((X0 > X0))).
% 20.58/6.93 thf(func_def_388, type, comm_monoid: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 20.58/6.93 thf(func_def_389, type, comm_monoid_axioms: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 20.58/6.93 thf(func_def_390, type, group: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > (X0 > X0) > $o))).
% 20.58/6.93 thf(func_def_391, type, group_axioms: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > (X0 > X0) > $o))).
% 20.58/6.93 thf(func_def_392, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_393, type, monoid: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 20.58/6.93 thf(func_def_394, type, monoid_axioms: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 20.58/6.93 thf(func_def_395, type, one_one: !>[X0: $tType]:(X0)).
% 20.58/6.93 thf(func_def_396, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_397, type, semigroup: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 20.58/6.93 thf(func_def_398, type, sgn_sgn: !>[X0: $tType]:((X0 > X0))).
% 20.58/6.93 thf(func_def_399, type, times_times: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_400, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 20.58/6.93 thf(func_def_401, type, zero_zero: !>[X0: $tType]:(X0)).
% 20.58/6.93 thf(func_def_402, type, groups3894954378712506084id_sum: !>[X0: $tType, X1: $tType]:(((X0 > X0 > X0) > X0 > (X1 > X0) > set @ X1 > X0))).
% 20.58/6.93 thf(func_def_403, type, groups7311177749621191930dd_sum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 20.58/6.93 thf(func_def_404, type, groups1027152243600224163dd_sum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 20.58/6.93 thf(func_def_405, type, groups7121269368397514597t_prod: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 20.58/6.93 thf(func_def_406, type, groups1962203154675924110t_prod: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 20.58/6.93 thf(func_def_407, type, groups_comm_monoid_G: !>[X0: $tType, X1: $tType]:(((X0 > X0 > X0) > X0 > (X1 > X0) > set @ X1 > X0))).
% 20.58/6.93 thf(func_def_408, type, groups1828464146339083142d_list: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 20.58/6.93 thf(func_def_409, type, groups4802862169904069756st_set: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 20.58/6.93 thf(func_def_410, type, groups4207007520872428315er_sum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > list @ X0 > X1))).
% 20.58/6.93 thf(func_def_411, type, groups8242544230860333062m_list: !>[X0: $tType]:((list @ X0 > X0))).
% 20.58/6.93 thf(func_def_412, type, groups_monoid_list: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 20.58/6.93 thf(func_def_413, type, groups_monoid_F: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > list @ X0 > X0))).
% 20.58/6.93 thf(func_def_414, type, groups5270119922927024881d_list: !>[X0: $tType]:((list @ X0 > X0))).
% 20.58/6.93 thf(func_def_415, type, ex1: !>[X0: $tType]:(((X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_416, type, nO_MATCH: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o))).
% 20.58/6.93 thf(func_def_417, type, the: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_418, type, uniq: !>[X0: $tType]:(((X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_419, type, undefined: !>[X0: $tType]:(X0)).
% 20.58/6.93 thf(func_def_420, type, lim: !>[X0: $tType]:((heap_ext @ X0 > nat))).
% 20.58/6.93 thf(func_def_421, type, hilbert_bijection: !>[X0: $tType]:(((X0 > X0) > $o))).
% 20.58/6.93 thf(func_def_422, type, hilbert_inv_into: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X1 > X0))).
% 20.58/6.93 thf(func_def_423, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_424, type, complete_lattice_gfp: !>[X0: $tType]:(((X0 > X0) > X0))).
% 20.58/6.93 thf(func_def_425, type, complete_lattice_lfp: !>[X0: $tType]:(((X0 > X0) > X0))).
% 20.58/6.93 thf(func_def_426, type, infini527867602293511546merate: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 20.58/6.93 thf(func_def_427, type, abs_Integ: (product_prod @ nat @ nat > int)).
% 20.58/6.93 thf(func_def_428, type, neg: (num > int)).
% 20.58/6.93 thf(func_def_429, type, rep_Integ: (int > product_prod @ nat @ nat)).
% 20.58/6.93 thf(func_def_430, type, cr_int: (product_prod @ nat @ nat > int > $o)).
% 20.58/6.93 thf(func_def_431, type, dup: (int > int)).
% 20.58/6.93 thf(func_def_432, type, abs_int: (set @ product_prod @ nat @ nat > int)).
% 20.58/6.93 thf(func_def_433, type, rep_int: (int > set @ product_prod @ nat @ nat)).
% 20.58/6.93 thf(func_def_434, type, int_ge_less_than: (int > set @ product_prod @ int @ int)).
% 20.58/6.93 thf(func_def_435, type, int_ge_less_than2: (int > set @ product_prod @ int @ int)).
% 20.58/6.93 thf(func_def_436, type, intrel: (product_prod @ nat @ nat > product_prod @ nat @ nat > $o)).
% 20.58/6.93 thf(func_def_437, type, nat2: (int > nat)).
% 20.58/6.93 thf(func_def_438, type, pcr_int: (product_prod @ nat @ nat > int > $o)).
% 20.58/6.93 thf(func_def_439, type, power_int: !>[X0: $tType]:((X0 > int > X0))).
% 20.58/6.93 thf(func_def_440, type, ring_1_Ints: !>[X0: $tType]:(set @ X0)).
% 20.58/6.93 thf(func_def_441, type, ring_1_of_int: !>[X0: $tType]:((int > X0))).
% 20.58/6.93 thf(func_def_442, type, sub: (num > num > int)).
% 20.58/6.93 thf(func_def_443, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_444, type, semilattice: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 20.58/6.93 thf(func_def_445, type, semilattice_axioms: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 20.58/6.93 thf(func_def_446, type, semilattice_neutr: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 20.58/6.93 thf(func_def_447, type, semila1105856199041335345_order: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > (X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_448, type, semilattice_order: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_449, type, semila6385135966242565138axioms: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_450, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_451, type, lattices_Max: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_452, type, lattices_Min: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_453, type, lattic643756798349783984er_Max: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_454, type, lattic643756798350308766er_Min: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_455, type, lattices_ord_arg_min: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_456, type, lattic7623131987881927897min_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_457, type, lattic501386751177426532rg_min: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X0 > $o))).
% 20.58/6.93 thf(func_def_458, type, lattic8678736583308907530nf_fin: !>[X0: $tType]:(((X0 > X0 > X0) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_459, type, lattic7752659483105999362nf_fin: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_460, type, lattic5652469242046573047tr_set: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 20.58/6.93 thf(func_def_461, type, lattic5214292709420241887eutr_F: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_462, type, lattic4895041142388067077er_set: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_463, type, lattic149705377957585745ce_set: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 20.58/6.93 thf(func_def_464, type, lattic1715443433743089157tice_F: !>[X0: $tType]:(((X0 > X0 > X0) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_465, type, lattic4630905495605216202up_fin: !>[X0: $tType]:(((X0 > X0 > X0) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_466, type, lattic5882676163264333800up_fin: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_467, type, quotient: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > (X1 > X0) > (X0 > X1 > $o) > $o))).
% 20.58/6.93 thf(func_def_468, type, rel_pred_comp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > $o) > X0 > $o))).
% 20.58/6.93 thf(func_def_469, type, bleast: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_470, type, abort_Bleast: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_471, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_472, type, arg_min_list: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > X0))).
% 20.58/6.93 thf(func_def_473, type, arg_min_list_rel: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > product_prod @ (X0 > X1) @ list @ X0 > $o))).
% 20.58/6.93 thf(func_def_474, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 20.58/6.93 thf(func_def_475, type, butlast: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_476, type, concat: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_477, type, coset: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_478, type, count_list: !>[X0: $tType]:((list @ X0 > X0 > nat))).
% 20.58/6.93 thf(func_def_479, type, distinct: !>[X0: $tType]:((list @ X0 > $o))).
% 20.58/6.93 thf(func_def_480, type, drop: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_481, type, dropWhile: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_482, type, enumerate: !>[X0: $tType]:((nat > list @ X0 > list @ product_prod @ nat @ X0))).
% 20.58/6.93 thf(func_def_483, type, extract: !>[X0: $tType]:(((X0 > $o) > list @ X0 > option @ product_prod @ list @ X0 @ product_prod @ X0 @ list @ X0))).
% 20.58/6.93 thf(func_def_484, type, filter2: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_485, type, find: !>[X0: $tType]:(((X0 > $o) > list @ X0 > option @ X0))).
% 20.58/6.93 thf(func_def_486, type, fold: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > list @ X0 > X1 > X1))).
% 20.58/6.93 thf(func_def_487, type, folding_insort_key: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > set @ X1 > (X1 > X0) > $o))).
% 20.58/6.93 thf(func_def_488, type, foldl: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X0) > X0 > list @ X1 > X0))).
% 20.58/6.93 thf(func_def_489, type, foldr: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > list @ X0 > X1 > X1))).
% 20.58/6.93 thf(func_def_490, type, last: !>[X0: $tType]:((list @ X0 > X0))).
% 20.58/6.93 thf(func_def_491, type, lenlex: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 20.58/6.93 thf(func_def_492, type, lex: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 20.58/6.93 thf(func_def_493, type, lexn: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > set @ product_prod @ list @ X0 @ list @ X0))).
% 20.58/6.93 thf(func_def_494, type, lexord: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 20.58/6.93 thf(func_def_495, type, lexordp: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 20.58/6.93 thf(func_def_496, type, insort_key: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1 > list @ X1 > list @ X1))).
% 20.58/6.93 thf(func_def_497, type, sorted8670434370408473282of_set: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > set @ X1 > list @ X1))).
% 20.58/6.93 thf(func_def_498, type, linord329482645794927042rt_key: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_499, type, linorder_insort_key: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_500, type, linorder_sort_key: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_501, type, linord144544945434240204of_set: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_502, type, linord4507533701916653071of_set: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_503, type, linord3483353639454293061rt_key: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X0) > $o))).
% 20.58/6.93 thf(func_def_504, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_505, type, nil: !>[X0: $tType]:(list @ X0)).
% 20.58/6.93 thf(func_def_506, type, case_list: !>[X0: $tType, X1: $tType]:((X0 > (X1 > list @ X1 > X0) > list @ X1 > X0))).
% 20.58/6.93 thf(func_def_507, type, hd: !>[X0: $tType]:((list @ X0 > X0))).
% 20.58/6.93 thf(func_def_508, type, list_all: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 20.58/6.93 thf(func_def_509, type, list_all2: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > $o))).
% 20.58/6.93 thf(func_def_510, type, map: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1))).
% 20.58/6.93 thf(func_def_511, type, rec_list: !>[X0: $tType, X1: $tType]:((X0 > (X1 > list @ X1 > X0 > X0) > list @ X1 > X0))).
% 20.58/6.93 thf(func_def_512, type, set2: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_513, type, size_list: !>[X0: $tType]:(((X0 > nat) > list @ X0 > nat))).
% 20.58/6.93 thf(func_def_514, type, tl: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_515, type, list_ex1: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 20.58/6.93 thf(func_def_516, type, list_update: !>[X0: $tType]:((list @ X0 > nat > X0 > list @ X0))).
% 20.58/6.93 thf(func_def_517, type, listrel: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ list @ X0 @ list @ X1))).
% 20.58/6.93 thf(func_def_518, type, listrel1: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 20.58/6.93 thf(func_def_519, type, listrel1p: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 20.58/6.93 thf(func_def_520, type, listrelp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > $o))).
% 20.58/6.93 thf(func_def_521, type, lists: !>[X0: $tType]:((set @ X0 > set @ list @ X0))).
% 20.58/6.93 thf(func_def_522, type, listset: !>[X0: $tType]:((list @ set @ X0 > set @ list @ X0))).
% 20.58/6.93 thf(func_def_523, type, listsp: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 20.58/6.93 thf(func_def_524, type, map_filter: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > list @ X0 > list @ X1))).
% 20.58/6.93 thf(func_def_525, type, map_project: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X0 > set @ X1))).
% 20.58/6.93 thf(func_def_526, type, map_tailrec_rev: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1 > list @ X1))).
% 20.58/6.93 thf(func_def_527, 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))).
% 20.58/6.93 thf(func_def_528, type, measures: !>[X0: $tType]:((list @ (X0 > nat) > set @ product_prod @ X0 @ X0))).
% 20.58/6.93 thf(func_def_529, type, min_list: !>[X0: $tType]:((list @ X0 > X0))).
% 20.58/6.93 thf(func_def_530, type, min_list_rel: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 20.58/6.93 thf(func_def_531, type, n_lists: !>[X0: $tType]:((nat > list @ X0 > list @ list @ X0))).
% 20.58/6.93 thf(func_def_532, type, nth: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 20.58/6.93 thf(func_def_533, type, nths: !>[X0: $tType]:((list @ X0 > set @ nat > list @ X0))).
% 20.58/6.93 thf(func_def_534, type, lexordp2: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 20.58/6.93 thf(func_def_535, type, lexordp_eq: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 20.58/6.93 thf(func_def_536, type, ord_lexordp: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 20.58/6.93 thf(func_def_537, type, partition: !>[X0: $tType]:(((X0 > $o) > list @ X0 > product_prod @ list @ X0 @ list @ X0))).
% 20.58/6.93 thf(func_def_538, type, product: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1))).
% 20.58/6.93 thf(func_def_539, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 20.58/6.93 thf(func_def_540, type, remdups: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_541, type, remdups_adj: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_542, type, remove1: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_543, type, removeAll: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_544, type, replicate: !>[X0: $tType]:((nat > X0 > list @ X0))).
% 20.58/6.93 thf(func_def_545, type, rev: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_546, type, rotate: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_547, type, rotate1: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_548, type, set_Cons: !>[X0: $tType]:((set @ X0 > set @ list @ X0 > set @ list @ X0))).
% 20.58/6.93 thf(func_def_549, type, shuffles: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0))).
% 20.58/6.93 thf(func_def_550, type, shuffles_rel: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > product_prod @ list @ X0 @ list @ X0 > $o))).
% 20.58/6.93 thf(func_def_551, type, sorted_wrt: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o))).
% 20.58/6.93 thf(func_def_552, type, sorted_wrt_rel: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > product_prod @ (X0 > X0 > $o) @ list @ X0 > $o))).
% 20.58/6.93 thf(func_def_553, type, splice: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_554, type, splice_rel: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > product_prod @ list @ X0 @ list @ X0 > $o))).
% 20.58/6.93 thf(func_def_555, type, subseqs: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 20.58/6.93 thf(func_def_556, type, take: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_557, type, takeWhile: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_558, type, those: !>[X0: $tType]:((list @ option @ X0 > option @ list @ X0))).
% 20.58/6.93 thf(func_def_559, type, transpose: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 20.58/6.93 thf(func_def_560, type, transpose_rel: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > $o))).
% 20.58/6.93 thf(func_def_561, type, union: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_562, type, upt: (nat > nat > list @ nat)).
% 20.58/6.93 thf(func_def_563, type, upto: (int > int > list @ int)).
% 20.58/6.93 thf(func_def_564, type, upto_aux: (int > int > list @ int > list @ int)).
% 20.58/6.93 thf(func_def_565, type, upto_rel: (product_prod @ int @ int > product_prod @ int @ int > $o)).
% 20.58/6.93 thf(func_def_566, type, zip: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > list @ product_prod @ X0 @ X1))).
% 20.58/6.93 thf(func_def_567, type, dom: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X0))).
% 20.58/6.93 thf(func_def_568, type, graph: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ product_prod @ X0 @ X1))).
% 20.58/6.93 thf(func_def_569, type, map_add: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > (X0 > option @ X1) > X0 > option @ X1))).
% 20.58/6.93 thf(func_def_570, type, map_comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ X1) > (X2 > option @ X0) > X2 > option @ X1))).
% 20.58/6.93 thf(func_def_571, type, map_le: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > (X0 > option @ X1) > $o))).
% 20.58/6.93 thf(func_def_572, type, map_of: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > X0 > option @ X1))).
% 20.58/6.93 thf(func_def_573, type, map_upds: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > list @ X0 > list @ X1 > X0 > option @ X1))).
% 20.58/6.93 thf(func_def_574, type, ran: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X1))).
% 20.58/6.93 thf(func_def_575, type, restrict_map: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X0 > X0 > option @ X1))).
% 20.58/6.93 thf(func_def_576, type, eps_Opt: !>[X0: $tType]:(((X0 > $o) > option @ X0))).
% 20.58/6.93 thf(func_def_577, type, bijective: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > $o))).
% 20.58/6.93 thf(func_def_578, type, brk_rel: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ product_prod @ $o @ X0 @ product_prod @ $o @ X1))).
% 20.58/6.93 thf(func_def_579, type, dflt_None_set: !>[X0: $tType]:((set @ X0 > option @ set @ X0))).
% 20.58/6.93 thf(func_def_580, type, fun_of_rel: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > X0 > X1))).
% 20.58/6.93 thf(func_def_581, type, inv_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1 > X0))).
% 20.58/6.93 thf(func_def_582, type, list_all_zip: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > $o))).
% 20.58/6.93 thf(func_def_583, 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))).
% 20.58/6.93 thf(func_def_584, type, list_collect_set: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > list @ X0 > set @ X1))).
% 20.58/6.93 thf(func_def_585, type, map_mmupd: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X0 > X1 > X0 > option @ X1))).
% 20.58/6.93 thf(func_def_586, type, map_to_set: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ product_prod @ X0 @ X1))).
% 20.58/6.93 thf(func_def_587, type, merge: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_588, type, merge_list: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_589, type, merge_list_rel: !>[X0: $tType]:((product_prod @ list @ list @ X0 @ list @ list @ X0 > product_prod @ list @ list @ X0 @ list @ list @ X0 > $o))).
% 20.58/6.93 thf(func_def_590, type, merge_rel: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > product_prod @ list @ X0 @ list @ X0 > $o))).
% 20.58/6.93 thf(func_def_591, type, mergesort: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_592, type, mergesort_by_rel: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_593, type, merges9089515139780605204_merge: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_594, 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))).
% 20.58/6.93 thf(func_def_595, type, mergesort_by_rel_rel: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > product_prod @ (X0 > X0 > $o) @ list @ X0 > $o))).
% 20.58/6.93 thf(func_def_596, type, merges295452479951948502_split: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0 > product_prod @ list @ X0 @ list @ X0))).
% 20.58/6.93 thf(func_def_597, 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))).
% 20.58/6.93 thf(func_def_598, type, mergesort_remdups: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_599, type, pairself: !>[X0: $tType, X1: $tType]:(((X0 > X1) > product_prod @ X0 @ X0 > product_prod @ X1 @ X1))).
% 20.58/6.93 thf(func_def_600, type, pairself_rel: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ X0 @ X0 > product_prod @ (X0 > X1) @ product_prod @ X0 @ X0 > $o))).
% 20.58/6.93 thf(func_def_601, type, partition_rev: !>[X0: $tType]:(((X0 > $o) > product_prod @ list @ X0 @ list @ X0 > list @ X0 > product_prod @ list @ X0 @ list @ X0))).
% 20.58/6.93 thf(func_def_602, 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))).
% 20.58/6.93 thf(func_def_603, type, quicksort_by_rel: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_604, 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))).
% 20.58/6.93 thf(func_def_605, type, rel_of: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > (product_prod @ X0 @ X1 > $o) > set @ product_prod @ X0 @ X1))).
% 20.58/6.93 thf(func_def_606, type, rel_restrict: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > set @ product_prod @ X0 @ X0))).
% 20.58/6.93 thf(func_def_607, type, remove_rev: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_608, type, revg: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_609, type, revg_rel: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > product_prod @ list @ X0 @ list @ X0 > $o))).
% 20.58/6.93 thf(func_def_610, type, set_to_map: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > X0 > option @ X1))).
% 20.58/6.93 thf(func_def_611, type, slice: !>[X0: $tType]:((nat > nat > list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_612, type, su_rel_fun: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > (X0 > X1) > $o))).
% 20.58/6.93 thf(func_def_613, type, the_default: !>[X0: $tType]:((X0 > option @ X0 > X0))).
% 20.58/6.93 thf(func_def_614, type, uncurry: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 20.58/6.93 thf(func_def_615, type, zipf: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > list @ X0 > list @ X1 > list @ X2))).
% 20.58/6.93 thf(func_def_616, 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))).
% 20.58/6.93 thf(func_def_617, type, add_mset: !>[X0: $tType]:((X0 > multiset @ X0 > multiset @ X0))).
% 20.58/6.93 thf(func_def_618, type, comm_m7189776963980413722m_mset: !>[X0: $tType]:((multiset @ X0 > X0))).
% 20.58/6.93 thf(func_def_619, type, comm_monoid_mset: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 20.58/6.93 thf(func_def_620, type, comm_monoid_F: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > multiset @ X0 > X0))).
% 20.58/6.93 thf(func_def_621, type, comm_m9189036328036947845d_mset: !>[X0: $tType]:((multiset @ X0 > X0))).
% 20.58/6.93 thf(func_def_622, type, cr_multiset: !>[X0: $tType]:(((X0 > nat) > multiset @ X0 > $o))).
% 20.58/6.93 thf(func_def_623, type, filter_mset: !>[X0: $tType]:(((X0 > $o) > multiset @ X0 > multiset @ X0))).
% 20.58/6.93 thf(func_def_624, type, fold_mset: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > multiset @ X0 > X1))).
% 20.58/6.93 thf(func_def_625, type, image_mset: !>[X0: $tType, X1: $tType]:(((X0 > X1) > multiset @ X0 > multiset @ X1))).
% 20.58/6.93 thf(func_def_626, type, inter_mset: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > multiset @ X0))).
% 20.58/6.93 thf(func_def_627, type, linorder_part: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > list @ X0 > product_prod @ list @ X0 @ product_prod @ list @ X0 @ list @ X0))).
% 20.58/6.93 thf(func_def_628, type, linord6283353356039996273ltiset: !>[X0: $tType]:((multiset @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_629, type, ms_strict: set @ product_prod @ multiset @ product_prod @ nat @ nat @ multiset @ product_prod @ nat @ nat).
% 20.58/6.93 thf(func_def_630, type, ms_weak: set @ product_prod @ multiset @ product_prod @ nat @ nat @ multiset @ product_prod @ nat @ nat).
% 20.58/6.93 thf(func_def_631, type, mset: !>[X0: $tType]:((list @ X0 > multiset @ X0))).
% 20.58/6.93 thf(func_def_632, type, mset_set: !>[X0: $tType]:((set @ X0 > multiset @ X0))).
% 20.58/6.93 thf(func_def_633, type, mult: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ multiset @ X0 @ multiset @ X0))).
% 20.58/6.93 thf(func_def_634, type, mult1: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ multiset @ X0 @ multiset @ X0))).
% 20.58/6.93 thf(func_def_635, type, multeqp_code: !>[X0: $tType]:(((X0 > X0 > $o) > multiset @ X0 > multiset @ X0 > $o))).
% 20.58/6.93 thf(func_def_636, type, abs_multiset: !>[X0: $tType]:(((X0 > nat) > multiset @ X0))).
% 20.58/6.93 thf(func_def_637, type, count: !>[X0: $tType]:((multiset @ X0 > X0 > nat))).
% 20.58/6.93 thf(func_def_638, type, multp: !>[X0: $tType]:(((X0 > X0 > $o) > multiset @ X0 > multiset @ X0 > $o))).
% 20.58/6.93 thf(func_def_639, type, multp_code: !>[X0: $tType]:(((X0 > X0 > $o) > multiset @ X0 > multiset @ X0 > $o))).
% 20.58/6.93 thf(func_def_640, type, pcr_multiset: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > nat) > multiset @ X1 > $o))).
% 20.58/6.93 thf(func_def_641, type, pw_leq: (multiset @ product_prod @ nat @ nat > multiset @ product_prod @ nat @ nat > $o)).
% 20.58/6.93 thf(func_def_642, type, rel_mset: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > multiset @ X0 > multiset @ X1 > $o))).
% 20.58/6.93 thf(func_def_643, type, repeat_mset: !>[X0: $tType]:((nat > multiset @ X0 > multiset @ X0))).
% 20.58/6.93 thf(func_def_644, type, replicate_mset: !>[X0: $tType]:((nat > X0 > multiset @ X0))).
% 20.58/6.93 thf(func_def_645, type, set_mset: !>[X0: $tType]:((multiset @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_646, type, size_multiset: !>[X0: $tType]:(((X0 > nat) > multiset @ X0 > nat))).
% 20.58/6.93 thf(func_def_647, type, subset_eq_mset_impl: !>[X0: $tType]:((list @ X0 > list @ X0 > option @ $o))).
% 20.58/6.93 thf(func_def_648, type, subset751672762298770561pl_rel: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > product_prod @ list @ X0 @ list @ X0 > $o))).
% 20.58/6.93 thf(func_def_649, type, subset_mset: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > $o))).
% 20.58/6.93 thf(func_def_650, type, subseteq_mset: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > $o))).
% 20.58/6.93 thf(func_def_651, type, union_mset: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > multiset @ X0))).
% 20.58/6.93 thf(func_def_652, type, wcount: !>[X0: $tType]:(((X0 > nat) > multiset @ X0 > X0 > nat))).
% 20.58/6.93 thf(func_def_653, type, suc: (nat > nat)).
% 20.58/6.93 thf(func_def_654, type, compow: !>[X0: $tType]:((nat > X0 > X0))).
% 20.58/6.93 thf(func_def_655, type, case_nat: !>[X0: $tType]:((X0 > (nat > X0) > nat > X0))).
% 20.58/6.93 thf(func_def_656, type, pred2: (nat > nat)).
% 20.58/6.93 thf(func_def_657, type, rec_nat: !>[X0: $tType]:((X0 > (nat > X0 > X0) > nat > X0))).
% 20.58/6.93 thf(func_def_658, type, rec_set_nat: !>[X0: $tType]:((X0 > (nat > X0 > X0) > nat > X0 > $o))).
% 20.58/6.93 thf(func_def_659, type, semiring_1_Nats: !>[X0: $tType]:(set @ X0)).
% 20.58/6.93 thf(func_def_660, type, semiring_1_of_nat: !>[X0: $tType]:((nat > X0))).
% 20.58/6.93 thf(func_def_661, type, semiri8178284476397505188at_aux: !>[X0: $tType]:(((X0 > X0) > nat > X0 > X0))).
% 20.58/6.93 thf(func_def_662, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 20.58/6.93 thf(func_def_663, type, nat_int_decode: (nat > int)).
% 20.58/6.93 thf(func_def_664, type, nat_int_encode: (int > nat)).
% 20.58/6.93 thf(func_def_665, type, nat_list_decode: (nat > list @ nat)).
% 20.58/6.93 thf(func_def_666, type, nat_list_decode_rel: (nat > nat > $o)).
% 20.58/6.93 thf(func_def_667, type, nat_list_encode: (list @ nat > nat)).
% 20.58/6.93 thf(func_def_668, type, nat_list_encode_rel: (list @ nat > list @ nat > $o)).
% 20.58/6.93 thf(func_def_669, type, nat_prod_decode: (nat > product_prod @ nat @ nat)).
% 20.58/6.93 thf(func_def_670, type, nat_prod_decode_aux: (nat > nat > product_prod @ nat @ nat)).
% 20.58/6.93 thf(func_def_671, type, nat_pr5047031295181774490ux_rel: (product_prod @ nat @ nat > product_prod @ nat @ nat > $o)).
% 20.58/6.93 thf(func_def_672, type, nat_prod_encode: (product_prod @ nat @ nat > nat)).
% 20.58/6.93 thf(func_def_673, type, nat_set_decode: (nat > set @ nat)).
% 20.58/6.93 thf(func_def_674, type, nat_set_encode: (set @ nat > nat)).
% 20.58/6.93 thf(func_def_675, type, nat_sum_decode: (nat > sum_sum @ nat @ nat)).
% 20.58/6.93 thf(func_def_676, type, nat_sum_encode: (sum_sum @ nat @ nat > nat)).
% 20.58/6.93 thf(func_def_677, type, nat_triangle: (nat > nat)).
% 20.58/6.93 thf(func_def_678, type, bitM: (num > num)).
% 20.58/6.93 thf(func_def_679, type, inc: (num > num)).
% 20.58/6.93 thf(func_def_680, type, nat_of_num: (num > nat)).
% 20.58/6.93 thf(func_def_681, type, neg_numeral_dbl: !>[X0: $tType]:((X0 > X0))).
% 20.58/6.93 thf(func_def_682, type, neg_numeral_dbl_dec: !>[X0: $tType]:((X0 > X0))).
% 20.58/6.93 thf(func_def_683, type, neg_numeral_dbl_inc: !>[X0: $tType]:((X0 > X0))).
% 20.58/6.93 thf(func_def_684, type, neg_numeral_is_num: !>[X0: $tType]:((X0 > $o))).
% 20.58/6.93 thf(func_def_685, type, neg_numeral_sub: !>[X0: $tType]:((num > num > X0))).
% 20.58/6.93 thf(func_def_686, type, bit0: (num > num)).
% 20.58/6.93 thf(func_def_687, type, bit1: (num > num)).
% 20.58/6.93 thf(func_def_688, type, one2: num).
% 20.58/6.93 thf(func_def_689, type, case_num: !>[X0: $tType]:((X0 > (num > X0) > (num > X0) > num > X0))).
% 20.58/6.93 thf(func_def_690, type, num_of_nat: (nat > num)).
% 20.58/6.93 thf(func_def_691, type, numeral_numeral: !>[X0: $tType]:((num > X0))).
% 20.58/6.93 thf(func_def_692, type, pow: (num > num > num)).
% 20.58/6.93 thf(func_def_693, type, pred_numeral: (num > nat)).
% 20.58/6.93 thf(func_def_694, type, ring_1_iszero: !>[X0: $tType]:((X0 > $o))).
% 20.58/6.93 thf(func_def_695, type, sqr: (num > num)).
% 20.58/6.93 thf(func_def_696, type, old_Atom: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ nat > set @ old_node @ X0 @ X1))).
% 20.58/6.93 thf(func_def_697, type, old_Case: !>[X0: $tType, X1: $tType, X2: $tType]:(((set @ old_node @ X0 @ X1 > X2) > (set @ old_node @ X0 @ X1 > X2) > set @ old_node @ X0 @ X1 > X2))).
% 20.58/6.93 thf(func_def_698, type, old_In0: !>[X0: $tType, X1: $tType]:((set @ old_node @ X0 @ X1 > set @ old_node @ X0 @ X1))).
% 20.58/6.93 thf(func_def_699, type, old_In1: !>[X0: $tType, X1: $tType]:((set @ old_node @ X0 @ X1 > set @ old_node @ X0 @ X1))).
% 20.58/6.93 thf(func_def_700, type, old_Leaf: !>[X0: $tType, X1: $tType]:((X0 > set @ old_node @ X0 @ X1))).
% 20.58/6.93 thf(func_def_701, type, old_Lim: !>[X0: $tType, X1: $tType]:(((X0 > set @ old_node @ X1 @ X0) > set @ old_node @ X1 @ X0))).
% 20.58/6.93 thf(func_def_702, type, old_Node: !>[X0: $tType, X1: $tType]:(set @ product_prod @ (nat > sum_sum @ X0 @ nat) @ sum_sum @ X1 @ nat)).
% 20.58/6.93 thf(func_def_703, type, old_Numb: !>[X0: $tType, X1: $tType]:((nat > set @ old_node @ X0 @ X1))).
% 20.58/6.93 thf(func_def_704, type, old_Push: !>[X0: $tType]:((sum_sum @ X0 @ nat > (nat > sum_sum @ X0 @ nat) > nat > sum_sum @ X0 @ nat))).
% 20.58/6.93 thf(func_def_705, type, old_Push_Node: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ nat > old_node @ X1 @ X0 > old_node @ X1 @ X0))).
% 20.58/6.93 thf(func_def_706, type, old_Scons: !>[X0: $tType, X1: $tType]:((set @ old_node @ X0 @ X1 > set @ old_node @ X0 @ X1 > set @ old_node @ X0 @ X1))).
% 20.58/6.93 thf(func_def_707, type, old_Split: !>[X0: $tType, X1: $tType, X2: $tType]:(((set @ old_node @ X0 @ X1 > set @ old_node @ X0 @ X1 > X2) > set @ old_node @ X0 @ X1 > X2))).
% 20.58/6.93 thf(func_def_708, type, old_dprod: !>[X0: $tType, X1: $tType]:((set @ product_prod @ set @ old_node @ X0 @ X1 @ set @ old_node @ X0 @ X1 > set @ product_prod @ set @ old_node @ X0 @ X1 @ set @ old_node @ X0 @ X1 > set @ product_prod @ set @ old_node @ X0 @ X1 @ set @ old_node @ X0 @ X1))).
% 20.58/6.93 thf(func_def_709, type, old_dsum: !>[X0: $tType, X1: $tType]:((set @ product_prod @ set @ old_node @ X0 @ X1 @ set @ old_node @ X0 @ X1 > set @ product_prod @ set @ old_node @ X0 @ X1 @ set @ old_node @ X0 @ X1 > set @ product_prod @ set @ old_node @ X0 @ X1 @ set @ old_node @ X0 @ X1))).
% 20.58/6.93 thf(func_def_710, type, old_ndepth: !>[X0: $tType, X1: $tType]:((old_node @ X0 @ X1 > nat))).
% 20.58/6.93 thf(func_def_711, type, old_Abs_Node: !>[X0: $tType, X1: $tType]:((product_prod @ (nat > sum_sum @ X0 @ nat) @ sum_sum @ X1 @ nat > old_node @ X1 @ X0))).
% 20.58/6.93 thf(func_def_712, type, old_Rep_Node: !>[X0: $tType, X1: $tType]:((old_node @ X0 @ X1 > product_prod @ (nat > sum_sum @ X1 @ nat) @ sum_sum @ X0 @ nat))).
% 20.58/6.93 thf(func_def_713, type, old_ntrunc: !>[X0: $tType, X1: $tType]:((nat > set @ old_node @ X0 @ X1 > set @ old_node @ X0 @ X1))).
% 20.58/6.93 thf(func_def_714, type, old_uprod: !>[X0: $tType, X1: $tType]:((set @ set @ old_node @ X0 @ X1 > set @ set @ old_node @ X0 @ X1 > set @ set @ old_node @ X0 @ X1))).
% 20.58/6.93 thf(func_def_715, type, old_usum: !>[X0: $tType, X1: $tType]:((set @ set @ old_node @ X0 @ X1 > set @ set @ old_node @ X0 @ X1 > set @ set @ old_node @ X0 @ X1))).
% 20.58/6.93 thf(func_def_716, type, combine_options: !>[X0: $tType]:(((X0 > X0 > X0) > option @ X0 > option @ X0 > option @ X0))).
% 20.58/6.93 thf(func_def_717, type, none: !>[X0: $tType]:(option @ X0)).
% 20.58/6.93 thf(func_def_718, type, some: !>[X0: $tType]:((X0 > option @ X0))).
% 20.58/6.93 thf(func_def_719, type, case_option: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > option @ X1 > X0))).
% 20.58/6.93 thf(func_def_720, type, map_option: !>[X0: $tType, X1: $tType]:(((X0 > X1) > option @ X0 > option @ X1))).
% 20.58/6.93 thf(func_def_721, type, rec_option: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > option @ X1 > X0))).
% 20.58/6.93 thf(func_def_722, type, rel_option: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > option @ X0 > option @ X1 > $o))).
% 20.58/6.93 thf(func_def_723, type, set_option: !>[X0: $tType]:((option @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_724, type, the2: !>[X0: $tType]:((option @ X0 > X0))).
% 20.58/6.93 thf(func_def_725, type, these: !>[X0: $tType]:((set @ option @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_726, type, order_Above: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_727, type, order_AboveS: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_728, type, order_Under: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_729, type, order_UnderS: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_730, type, order_above: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 20.58/6.93 thf(func_def_731, type, order_aboveS: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 20.58/6.93 thf(func_def_732, type, order_679001287576687338der_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 20.58/6.93 thf(func_def_733, type, order_ofilter: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > $o))).
% 20.58/6.93 thf(func_def_734, type, order_7125193373082350890der_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 20.58/6.93 thf(func_def_735, type, order_preorder_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 20.58/6.93 thf(func_def_736, type, order_relation_of: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > set @ product_prod @ X0 @ X0))).
% 20.58/6.93 thf(func_def_737, type, order_under: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 20.58/6.93 thf(func_def_738, type, order_underS: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 20.58/6.93 thf(func_def_739, type, order_well_order_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 20.58/6.93 thf(func_def_740, type, bot_bot: !>[X0: $tType]:(X0)).
% 20.58/6.93 thf(func_def_741, type, least: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_742, type, max: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_743, type, min: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_744, type, ord_Least: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_745, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_746, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_747, type, ord_max: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_748, type, ord_min: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_749, type, greatest: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_750, type, mono: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > $o))).
% 20.58/6.93 thf(func_def_751, type, order_Greatest: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_752, type, order_antimono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 20.58/6.93 thf(func_def_753, type, order_mono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 20.58/6.93 thf(func_def_754, type, order_strict_mono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 20.58/6.93 thf(func_def_755, type, ordering: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_756, type, ordering_axioms: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_757, type, ordering_top: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0 > $o))).
% 20.58/6.93 thf(func_def_758, type, ordering_top_axioms: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > $o))).
% 20.58/6.93 thf(func_def_759, type, partial_preordering: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_760, type, preordering: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_761, type, preordering_axioms: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_762, type, top_top: !>[X0: $tType]:(X0)).
% 20.58/6.93 thf(func_def_763, type, partial_flat_lub: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_764, type, partial_img_ord: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X1 > X1 > X2) > X0 > X0 > X2))).
% 20.58/6.93 thf(func_def_765, type, partial_mk_less: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_766, type, power2: !>[X0: $tType]:((X0 > (X0 > X0 > X0) > X0 > nat > X0))).
% 20.58/6.93 thf(func_def_767, type, power_power: !>[X0: $tType]:((X0 > nat > X0))).
% 20.58/6.93 thf(func_def_768, type, seq2: !>[X0: $tType]:(((product_unit > seq @ X0) > pred @ X0))).
% 20.58/6.93 thf(func_def_769, type, adjunct: !>[X0: $tType]:((pred @ X0 > seq @ X0 > seq @ X0))).
% 20.58/6.93 thf(func_def_770, type, apply: !>[X0: $tType, X1: $tType]:(((X0 > pred @ X1) > seq @ X0 > seq @ X1))).
% 20.58/6.93 thf(func_def_771, type, bind2: !>[X0: $tType, X1: $tType]:((pred @ X0 > (X0 > pred @ X1) > pred @ X1))).
% 20.58/6.93 thf(func_def_772, type, contained: !>[X0: $tType]:((seq @ X0 > pred @ X0 > $o))).
% 20.58/6.93 thf(func_def_773, type, if_pred: ($o > pred @ product_unit)).
% 20.58/6.93 thf(func_def_774, type, is_empty: !>[X0: $tType]:((pred @ X0 > $o))).
% 20.58/6.93 thf(func_def_775, type, iterate_upto: !>[X0: $tType]:(((code_natural > X0) > code_natural > code_natural > pred @ X0))).
% 20.58/6.93 thf(func_def_776, 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))).
% 20.58/6.93 thf(func_def_777, type, map2: !>[X0: $tType, X1: $tType]:(((X0 > X1) > pred @ X0 > pred @ X1))).
% 20.58/6.93 thf(func_def_778, type, not_pred: (pred @ product_unit > pred @ product_unit)).
% 20.58/6.93 thf(func_def_779, type, null: !>[X0: $tType]:((seq @ X0 > $o))).
% 20.58/6.93 thf(func_def_780, type, pred3: !>[X0: $tType]:(((X0 > $o) > pred @ X0))).
% 20.58/6.93 thf(func_def_781, type, eval: !>[X0: $tType]:((pred @ X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_782, type, pred_of_seq: !>[X0: $tType]:((seq @ X0 > pred @ X0))).
% 20.58/6.93 thf(func_def_783, type, pred_of_set: !>[X0: $tType]:((set @ X0 > pred @ X0))).
% 20.58/6.93 thf(func_def_784, type, empty: !>[X0: $tType]:(seq @ X0)).
% 20.58/6.93 thf(func_def_785, type, insert: !>[X0: $tType]:((X0 > pred @ X0 > seq @ X0))).
% 20.58/6.93 thf(func_def_786, type, join: !>[X0: $tType]:((pred @ X0 > seq @ X0 > seq @ X0))).
% 20.58/6.93 thf(func_def_787, type, case_seq: !>[X0: $tType, X1: $tType]:((X0 > (X1 > pred @ X1 > X0) > (pred @ X1 > seq @ X1 > X0) > seq @ X1 > X0))).
% 20.58/6.93 thf(func_def_788, type, set_of_pred: !>[X0: $tType]:((pred @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_789, type, set_of_seq: !>[X0: $tType]:((seq @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_790, type, single: !>[X0: $tType]:((X0 > pred @ X0))).
% 20.58/6.93 thf(func_def_791, type, singleton: !>[X0: $tType]:(((product_unit > X0) > pred @ X0 > X0))).
% 20.58/6.93 thf(func_def_792, type, the3: !>[X0: $tType]:((pred @ X0 > X0))).
% 20.58/6.93 thf(func_def_793, type, the_only: !>[X0: $tType]:(((product_unit > X0) > seq @ X0 > X0))).
% 20.58/6.93 thf(func_def_794, type, predicate_contains: !>[X0: $tType]:((set @ X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_795, type, predic7144156976422707464s_pred: !>[X0: $tType]:((set @ X0 > X0 > pred @ product_unit))).
% 20.58/6.93 thf(func_def_796, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 20.58/6.93 thf(func_def_797, type, product_Sigma: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ product_prod @ X0 @ X1))).
% 20.58/6.93 thf(func_def_798, type, product_Unity: product_unit).
% 20.58/6.93 thf(func_def_799, type, product_apfst: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > product_prod @ X0 @ X2 > product_prod @ X1 @ X2))).
% 20.58/6.93 thf(func_def_800, type, product_apsnd: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > product_prod @ X2 @ X0 > product_prod @ X2 @ X1))).
% 20.58/6.93 thf(func_def_801, type, produc5280177257484947105e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 20.58/6.93 thf(func_def_802, type, product_map_prod: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > product_prod @ X0 @ X2 > product_prod @ X1 @ X3))).
% 20.58/6.93 thf(func_def_803, type, product_rec_bool: !>[X0: $tType]:((X0 > X0 > $o > X0))).
% 20.58/6.93 thf(func_def_804, type, product_rec_set_bool: !>[X0: $tType]:((X0 > X0 > $o > X0 > $o))).
% 20.58/6.93 thf(func_def_805, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 20.58/6.93 thf(func_def_806, type, product_rec_set_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2 > $o))).
% 20.58/6.93 thf(func_def_807, type, product_rec_set_unit: !>[X0: $tType]:((X0 > product_unit > X0 > $o))).
% 20.58/6.93 thf(func_def_808, type, product_rec_unit: !>[X0: $tType]:((X0 > product_unit > X0))).
% 20.58/6.93 thf(func_def_809, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 20.58/6.93 thf(func_def_810, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 20.58/6.93 thf(func_def_811, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 20.58/6.93 thf(func_def_812, type, product_swap: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > product_prod @ X1 @ X0))).
% 20.58/6.93 thf(func_def_813, type, product_product: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ product_prod @ X0 @ X1))).
% 20.58/6.93 thf(func_def_814, type, product_scomp: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > product_prod @ X1 @ X2) > (X1 > X2 > X3) > X0 > X3))).
% 20.58/6.93 thf(func_def_815, type, product_Abs_unit: ($o > product_unit)).
% 20.58/6.93 thf(func_def_816, type, product_Rep_unit: (product_unit > $o)).
% 20.58/6.93 thf(func_def_817, type, type2: !>[X0: $tType]:(itself @ X0)).
% 20.58/6.93 thf(func_def_818, type, linorder_quicksort: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_819, type, linord6200660962353139674rt_rel: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 20.58/6.93 thf(func_def_820, type, inc_shift: (code_natural > code_natural > code_natural)).
% 20.58/6.93 thf(func_def_821, type, iterate: !>[X0: $tType, X1: $tType]:((code_natural > (X0 > X1 > product_prod @ X0 @ X1) > X0 > X1 > product_prod @ X0 @ X1))).
% 20.58/6.93 thf(func_def_822, 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))).
% 20.58/6.93 thf(func_def_823, type, log: (code_natural > code_natural > code_natural)).
% 20.58/6.93 thf(func_def_824, type, log_rel: (product_prod @ code_natural @ code_natural > product_prod @ code_natural @ code_natural > $o)).
% 20.58/6.93 thf(func_def_825, type, minus_shift: (code_natural > code_natural > code_natural > code_natural)).
% 20.58/6.93 thf(func_def_826, type, next: (product_prod @ code_natural @ code_natural > product_prod @ code_natural @ product_prod @ code_natural @ code_natural)).
% 20.58/6.93 thf(func_def_827, type, pick: !>[X0: $tType]:((list @ product_prod @ code_natural @ X0 > code_natural > X0))).
% 20.58/6.93 thf(func_def_828, type, range: (code_natural > product_prod @ code_natural @ code_natural > product_prod @ code_natural @ product_prod @ code_natural @ code_natural)).
% 20.58/6.93 thf(func_def_829, type, select: !>[X0: $tType]:((list @ X0 > product_prod @ code_natural @ code_natural > product_prod @ X0 @ product_prod @ code_natural @ code_natural))).
% 20.58/6.93 thf(func_def_830, 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))).
% 20.58/6.93 thf(func_def_831, type, split_seed: (product_prod @ code_natural @ code_natural > product_prod @ product_prod @ code_natural @ code_natural @ product_prod @ code_natural @ code_natural)).
% 20.58/6.93 thf(func_def_832, type, random_Random: !>[X0: $tType]:(((product_prod @ code_natural @ code_natural > product_prod @ product_prod @ X0 @ (product_unit > code_term) @ product_prod @ code_natural @ code_natural) > product_prod @ code_natural @ code_natural > product_prod @ pred @ X0 @ product_prod @ code_natural @ code_natural))).
% 20.58/6.93 thf(func_def_833, 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))).
% 20.58/6.93 thf(func_def_834, type, random_empty: !>[X0: $tType]:((product_prod @ code_natural @ code_natural > product_prod @ pred @ X0 @ product_prod @ code_natural @ code_natural))).
% 20.58/6.93 thf(func_def_835, 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))).
% 20.58/6.93 thf(func_def_836, type, random6974930770145893639ompred: ((product_prod @ code_natural @ code_natural > product_prod @ pred @ product_unit @ product_prod @ code_natural @ code_natural) > product_prod @ code_natural @ code_natural > product_prod @ pred @ product_unit @ product_prod @ code_natural @ code_natural)).
% 20.58/6.93 thf(func_def_837, type, random_single: !>[X0: $tType]:((X0 > product_prod @ code_natural @ code_natural > product_prod @ pred @ X0 @ product_prod @ code_natural @ code_natural))).
% 20.58/6.93 thf(func_def_838, 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))).
% 20.58/6.93 thf(func_def_839, type, abs_Rat: (product_prod @ int @ int > rat)).
% 20.58/6.93 thf(func_def_840, type, fract: (int > int > rat)).
% 20.58/6.93 thf(func_def_841, type, frct: (product_prod @ int @ int > rat)).
% 20.58/6.93 thf(func_def_842, type, rep_Rat: (rat > product_prod @ int @ int)).
% 20.58/6.93 thf(func_def_843, type, cr_rat: (product_prod @ int @ int > rat > $o)).
% 20.58/6.93 thf(func_def_844, type, field_char_0_Rats: !>[X0: $tType]:(set @ X0)).
% 20.58/6.93 thf(func_def_845, type, field_char_0_of_rat: !>[X0: $tType]:((rat > X0))).
% 20.58/6.93 thf(func_def_846, type, normalize: (product_prod @ int @ int > product_prod @ int @ int)).
% 20.58/6.93 thf(func_def_847, type, of_int: (int > rat)).
% 20.58/6.93 thf(func_def_848, type, pcr_rat: (product_prod @ int @ int > rat > $o)).
% 20.58/6.93 thf(func_def_849, type, positive: (rat > $o)).
% 20.58/6.93 thf(func_def_850, type, quotient_of: (rat > product_prod @ int @ int)).
% 20.58/6.93 thf(func_def_851, type, abs_rat: (set @ product_prod @ int @ int > rat)).
% 20.58/6.93 thf(func_def_852, type, rep_rat: (rat > set @ product_prod @ int @ int)).
% 20.58/6.93 thf(func_def_853, type, ratrel: (product_prod @ int @ int > product_prod @ int @ int > $o)).
% 20.58/6.93 thf(func_def_854, type, domain: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ X0))).
% 20.58/6.93 thf(func_def_855, type, domainp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X0 > $o))).
% 20.58/6.93 thf(func_def_856, type, field2: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_857, type, id2: !>[X0: $tType]:(set @ product_prod @ X0 @ X0)).
% 20.58/6.93 thf(func_def_858, type, id_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0))).
% 20.58/6.93 thf(func_def_859, type, image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ X0 > set @ X1))).
% 20.58/6.93 thf(func_def_860, type, powp: !>[X0: $tType]:(((X0 > $o) > set @ X0 > $o))).
% 20.58/6.93 thf(func_def_861, type, range2: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ X1))).
% 20.58/6.93 thf(func_def_862, type, rangep: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X1 > $o))).
% 20.58/6.93 thf(func_def_863, type, antisym: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 20.58/6.93 thf(func_def_864, type, antisymp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_865, type, asym: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 20.58/6.93 thf(func_def_866, type, asymp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_867, type, converse: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X1 @ X0))).
% 20.58/6.93 thf(func_def_868, type, conversep: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X1 > X0 > $o))).
% 20.58/6.93 thf(func_def_869, type, inv_image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X1 > X0) > set @ product_prod @ X1 @ X1))).
% 20.58/6.93 thf(func_def_870, type, irrefl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 20.58/6.93 thf(func_def_871, type, irreflp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_872, type, refl_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 20.58/6.93 thf(func_def_873, type, reflp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_874, type, relcomp: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X1 @ X2 > set @ product_prod @ X0 @ X2))).
% 20.58/6.93 thf(func_def_875, type, relcompp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > $o))).
% 20.58/6.93 thf(func_def_876, type, single_valued: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > $o))).
% 20.58/6.93 thf(func_def_877, type, single_valuedp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 20.58/6.93 thf(func_def_878, type, total_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 20.58/6.93 thf(func_def_879, type, trans: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 20.58/6.93 thf(func_def_880, type, transp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_881, type, algebr8660921524188924756oprime: !>[X0: $tType]:((X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_882, type, divide_divide: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_883, type, dvd_dvd: !>[X0: $tType]:((X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_884, type, modulo_modulo: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_885, type, normal6383669964737779283malize: !>[X0: $tType]:((X0 > X0))).
% 20.58/6.93 thf(func_def_886, type, unit_f5069060285200089521factor: !>[X0: $tType]:((X0 > X0))).
% 20.58/6.93 thf(func_def_887, type, zero_neq_one_of_bool: !>[X0: $tType]:(($o > X0))).
% 20.58/6.93 thf(func_def_888, type, ball: !>[X0: $tType]:((set @ X0 > (X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_889, type, bex: !>[X0: $tType]:((set @ X0 > (X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_890, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 20.58/6.93 thf(func_def_891, type, pow2: !>[X0: $tType]:((set @ X0 > set @ set @ X0))).
% 20.58/6.93 thf(func_def_892, type, bind3: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ X1))).
% 20.58/6.93 thf(func_def_893, type, disjnt: !>[X0: $tType]:((set @ X0 > set @ X0 > $o))).
% 20.58/6.93 thf(func_def_894, type, filter3: !>[X0: $tType]:(((X0 > $o) > set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_895, type, image2: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 20.58/6.93 thf(func_def_896, type, insert2: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_897, type, is_empty2: !>[X0: $tType]:((set @ X0 > $o))).
% 20.58/6.93 thf(func_def_898, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 20.58/6.93 thf(func_def_899, type, pairwise: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 20.58/6.93 thf(func_def_900, type, remove: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_901, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_902, type, vimage: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X1 > set @ X0))).
% 20.58/6.93 thf(func_def_903, type, set_fo6178422350223883121st_nat: !>[X0: $tType]:(((nat > X0 > X0) > nat > nat > X0 > X0))).
% 20.58/6.93 thf(func_def_904, type, set_fo1817059534552279752at_rel: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > $o))).
% 20.58/6.93 thf(func_def_905, type, set_atLeast: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 20.58/6.93 thf(func_def_906, type, set_atLeastAtMost: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > set @ X0))).
% 20.58/6.93 thf(func_def_907, type, set_atLeastLessThan: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0 > X0 > set @ X0))).
% 20.58/6.93 thf(func_def_908, type, set_atMost: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 20.58/6.93 thf(func_def_909, type, set_greaterThan: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 20.58/6.93 thf(func_def_910, type, set_gr3752724095348155675AtMost: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0 > X0 > set @ X0))).
% 20.58/6.93 thf(func_def_911, type, set_gr287244882034783167ssThan: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > set @ X0))).
% 20.58/6.93 thf(func_def_912, type, set_lessThan: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 20.58/6.93 thf(func_def_913, type, set_ord_atLeast: !>[X0: $tType]:((X0 > set @ X0))).
% 20.58/6.93 thf(func_def_914, type, set_or1337092689740270186AtMost: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 20.58/6.93 thf(func_def_915, type, set_or7035219750837199246ssThan: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 20.58/6.93 thf(func_def_916, type, set_ord_atMost: !>[X0: $tType]:((X0 > set @ X0))).
% 20.58/6.93 thf(func_def_917, type, set_ord_greaterThan: !>[X0: $tType]:((X0 > set @ X0))).
% 20.58/6.93 thf(func_def_918, type, set_or3652927894154168847AtMost: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 20.58/6.93 thf(func_def_919, type, set_or5935395276787703475ssThan: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 20.58/6.93 thf(func_def_920, type, set_ord_lessThan: !>[X0: $tType]:((X0 > set @ X0))).
% 20.58/6.93 thf(func_def_921, type, abort: !>[X0: $tType]:((literal > (product_unit > X0) > X0))).
% 20.58/6.93 thf(func_def_922, type, literal2: ($o > $o > $o > $o > $o > $o > $o > literal > literal)).
% 20.58/6.93 thf(func_def_923, type, ascii_of: (char > char)).
% 20.58/6.93 thf(func_def_924, type, asciis_of_literal: (literal > list @ code_integer)).
% 20.58/6.93 thf(func_def_925, type, char2: ($o > $o > $o > $o > $o > $o > $o > $o > char)).
% 20.58/6.93 thf(func_def_926, type, digit7: (char > $o)).
% 20.58/6.93 thf(func_def_927, type, char_of_integer: (code_integer > char)).
% 20.58/6.93 thf(func_def_928, type, comm_s6883823935334413003f_char: !>[X0: $tType]:((char > X0))).
% 20.58/6.93 thf(func_def_929, type, cr_literal: (list @ char > literal > $o)).
% 20.58/6.93 thf(func_def_930, type, abs_literal: (list @ char > literal)).
% 20.58/6.93 thf(func_def_931, type, explode: (literal > list @ char)).
% 20.58/6.93 thf(func_def_932, type, pcr_literal: (list @ char > literal > $o)).
% 20.58/6.93 thf(func_def_933, type, unique5772411509450598832har_of: !>[X0: $tType]:((X0 > char))).
% 20.58/6.93 thf(func_def_934, type, sum_Inl: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X0 @ X1))).
% 20.58/6.93 thf(func_def_935, type, sum_Inr: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X1 @ X0))).
% 20.58/6.93 thf(func_def_936, type, sum_Plus: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ sum_sum @ X0 @ X1))).
% 20.58/6.93 thf(func_def_937, type, sum_map_sum: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > sum_sum @ X0 @ X2 > sum_sum @ X1 @ X3))).
% 20.58/6.93 thf(func_def_938, type, sum_rec_set_sum: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > sum_sum @ X0 @ X2 > X1 > $o))).
% 20.58/6.93 thf(func_def_939, type, sum_rec_sum: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > sum_sum @ X0 @ X2 > X1))).
% 20.58/6.93 thf(func_def_940, type, sum_case_sum: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > sum_sum @ X0 @ X2 > X1))).
% 20.58/6.93 thf(func_def_941, type, sum_projl: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X0))).
% 20.58/6.93 thf(func_def_942, type, sum_projr: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X1))).
% 20.58/6.93 thf(func_def_943, type, syntax7388354845996824322omatch: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o))).
% 20.58/6.93 thf(func_def_944, type, bi_total: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 20.58/6.93 thf(func_def_945, type, bi_unique: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 20.58/6.93 thf(func_def_946, type, left_total: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 20.58/6.93 thf(func_def_947, type, left_unique: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 20.58/6.93 thf(func_def_948, type, right_total: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 20.58/6.93 thf(func_def_949, type, transfer_bforall: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_950, type, transitive_acyclic: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 20.58/6.93 thf(func_def_951, type, transitive_ntrancl: !>[X0: $tType]:((nat > set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 20.58/6.93 thf(func_def_952, type, transitive_rtrancl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 20.58/6.93 thf(func_def_953, type, transitive_rtranclp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_954, type, transitive_trancl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 20.58/6.93 thf(func_def_955, type, transitive_tranclp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_956, type, type_definition: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > set @ X1 > $o))).
% 20.58/6.93 thf(func_def_957, type, accp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > $o))).
% 20.58/6.93 thf(func_def_958, type, finite_psubset: !>[X0: $tType]:(set @ product_prod @ set @ X0 @ set @ X0)).
% 20.58/6.93 thf(func_def_959, type, less_than: set @ product_prod @ nat @ nat).
% 20.58/6.93 thf(func_def_960, type, lex_prod: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 20.58/6.93 thf(func_def_961, type, max_ext: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ set @ X0 @ set @ X0))).
% 20.58/6.93 thf(func_def_962, type, max_extp: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > set @ X0 > $o))).
% 20.58/6.93 thf(func_def_963, type, measure: !>[X0: $tType]:(((X0 > nat) > set @ product_prod @ X0 @ X0))).
% 20.58/6.93 thf(func_def_964, type, min_ext: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ set @ X0 @ set @ X0))).
% 20.58/6.93 thf(func_def_965, type, mlex_prod: !>[X0: $tType]:(((X0 > nat) > set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 20.58/6.93 thf(func_def_966, type, pred_nat: set @ product_prod @ nat @ nat).
% 20.58/6.93 thf(func_def_967, type, wf: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 20.58/6.93 thf(func_def_968, type, wfP: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_969, type, adm_wf: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > ((X0 > X1) > X0 > X1) > $o))).
% 20.58/6.93 thf(func_def_970, type, cut: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ product_prod @ X0 @ X0 > X0 > X0 > X1))).
% 20.58/6.93 thf(func_def_971, type, same_fst: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > set @ product_prod @ X1 @ X1) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 20.58/6.93 thf(func_def_972, type, chains: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ set @ X0))).
% 20.58/6.93 thf(func_def_973, type, chain_subset: !>[X0: $tType]:((set @ set @ X0 > $o))).
% 20.58/6.93 thf(func_def_974, type, chains2: !>[X0: $tType]:((set @ set @ X0 > set @ set @ set @ X0))).
% 20.58/6.93 thf(func_def_975, type, init_seg_of: !>[X0: $tType]:(set @ product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X0 @ X0)).
% 20.58/6.93 thf(func_def_976, type, pred_chain: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > set @ X0 > $o))).
% 20.58/6.93 thf(func_def_977, type, pred_maxchain: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > set @ X0 > $o))).
% 20.58/6.93 thf(func_def_978, type, pred_suc: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_979, type, pred_s596693808085603175closed: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > set @ set @ X0))).
% 20.58/6.93 thf(func_def_980, type, pred_s7749564232668923593losedp: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > set @ X0 > $o))).
% 20.58/6.93 thf(func_def_981, type, fChoice: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_982, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 20.58/6.93 thf(func_def_983, type, x: assn).
% 20.58/6.93 thf(func_def_984, type, y: assn).
% 20.58/6.93 thf(func_def_986, type, vNOT: ($o > $o)).
% 20.58/6.93 thf(func_def_989, type, db0: !>[X0: $tType]:(X0)).
% 20.58/6.93 thf(func_def_990, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 20.58/6.93 thf(func_def_991, type, vOR: ($o > $o > $o)).
% 20.58/6.93 thf(func_def_992, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_993, type, vAND: ($o > $o > $o)).
% 20.58/6.93 thf(func_def_994, type, db2: !>[X0: $tType]:(X0)).
% 20.58/6.93 thf(func_def_995, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_996, type, db1: !>[X0: $tType]:(X0)).
% 20.58/6.93 thf(func_def_997, type, db5: !>[X0: $tType]:(X0)).
% 20.58/6.93 thf(func_def_998, type, db3: !>[X0: $tType]:(X0)).
% 20.58/6.93 thf(func_def_999, type, db4: !>[X0: $tType]:(X0)).
% 20.58/6.93 thf(func_def_1000, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 20.58/6.93 thf(func_def_1001, type, vIMP: ($o > $o > $o)).
% 20.58/6.93 thf(func_def_1002, type, db6: !>[X0: $tType]:(X0)).
% 20.58/6.93 thf(func_def_1003, type, db7: !>[X0: $tType]:(X0)).
% 20.58/6.93 thf(func_def_1004, type, db13: !>[X0: $tType]:(X0)).
% 20.58/6.93 thf(func_def_1005, type, db11: !>[X0: $tType]:(X0)).
% 20.58/6.93 thf(func_def_1006, type, db9: !>[X0: $tType]:(X0)).
% 20.58/6.93 thf(func_def_1007, type, db8: !>[X0: $tType]:(X0)).
% 20.58/6.93 thf(func_def_1008, type, sP0: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 20.58/6.93 thf(func_def_1009, type, sP1: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > set @ X0 > set @ X0 > $o))).
% 20.58/6.93 thf(func_def_1010, type, sP2: ((int > $o) > (int > $o) > set @ int > int > $o)).
% 20.58/6.93 thf(func_def_1011, type, sP3: ((int > $o) > int > (int > $o) > set @ int > $o)).
% 20.58/6.93 thf(func_def_1012, type, sP4: (set @ int > (int > $o) > int > (int > $o) > $o)).
% 20.58/6.93 thf(func_def_1013, type, sP5: ((int > $o) > (int > $o) > set @ int > int > $o)).
% 20.58/6.93 thf(func_def_1014, type, sP6: (set @ int > (int > $o) > int > (int > $o) > $o)).
% 20.58/6.93 thf(func_def_1015, type, sP7: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_1016, type, sP8: (set @ int > int > (int > $o) > (int > $o) > $o)).
% 20.58/6.93 thf(func_def_1017, type, sK9: ((nat > int) > int > nat > nat)).
% 20.58/6.93 thf(func_def_1018, type, sK10: ((nat > int) > nat > nat)).
% 20.58/6.93 thf(func_def_1019, type, sK11: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1020, type, sK12: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > set @ X0) > set @ X0 > X1))).
% 20.58/6.93 thf(func_def_1021, type, sK13: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0 > $o) > X0 > X1))).
% 20.58/6.93 thf(func_def_1022, type, sK14: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1023, type, sK15: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1024, type, sK16: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 20.58/6.93 thf(func_def_1025, type, sK17: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1026, type, sK18: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1027, type, sK19: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1028, type, sK20: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1029, type, sK21: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1))).
% 20.58/6.93 thf(func_def_1030, type, sK22: !>[X0: $tType, X1: $tType]:((X0 > (X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1031, type, sK23: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > (X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1032, type, sK24: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > (X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1033, type, sK25: !>[X0: $tType]:((X0 > X0 > set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 20.58/6.93 thf(func_def_1034, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X2 > set @ X0 > (X0 > X1) > (X2 > X1) > X0))).
% 20.58/6.93 thf(func_def_1035, type, sK27: (int > int > set @ int > int)).
% 20.58/6.93 thf(func_def_1036, type, sK28: (int > int > set @ int > int)).
% 20.58/6.93 thf(func_def_1037, type, sK29: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1038, type, sK30: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1039, type, sK31: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1040, type, sK32: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1041, type, sK33: (int > int > set @ int > int)).
% 20.58/6.93 thf(func_def_1042, type, sK34: (int > int > set @ int > int)).
% 20.58/6.93 thf(func_def_1043, type, sK35: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X0 > (X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1044, type, sK36: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1045, type, sK37: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1046, type, sK38: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1047, type, sK39: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1048, type, sK40: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1049, type, sK41: (nat > rat)).
% 20.58/6.93 thf(func_def_1050, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > (X1 > X0 > $o) > (X2 > X1) > (X1 > X0 > $o) > X1))).
% 20.58/6.93 thf(func_def_1051, type, sK43: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > (X1 > X0 > $o) > (X2 > X1) > (X1 > X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1052, type, sK44: !>[X0: $tType]:((X0 > set @ X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_1053, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > X1 > (X0 > X2 > set @ X1) > X0))).
% 20.58/6.93 thf(func_def_1054, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > X1 > (X0 > X2 > set @ X1) > X2))).
% 20.58/6.93 thf(func_def_1055, type, sK47: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1056, type, sK48: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > set @ X0 > set @ X0 > X1))).
% 20.58/6.93 thf(func_def_1057, type, sK49: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1058, type, sK50: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > set @ X0 > set @ X0 > (X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1059, type, sK51: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1060, type, sK52: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X0 > X1) > (X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1061, type, sK53: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X0 > (X0 > X1) > (X1 > X0) > X0))).
% 20.58/6.93 thf(func_def_1062, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X1 > (X1 > X2) > (X0 > X2) > (X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1063, type, sK55: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 20.58/6.93 thf(func_def_1064, type, sK56: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_1065, type, sK57: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 20.58/6.93 thf(func_def_1066, type, sK58: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1067, type, sK59: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_1068, type, sK60: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 20.58/6.93 thf(func_def_1069, type, sK61: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_1070, type, sK62: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X0 > X0))).
% 20.58/6.93 thf(func_def_1071, type, sK63: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X0 > X1))).
% 20.58/6.93 thf(func_def_1072, type, sK64: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > X0))).
% 20.58/6.93 thf(func_def_1073, type, sK65: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > X1))).
% 20.58/6.93 thf(func_def_1074, type, sK66: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1075, type, sK67: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > (X1 > set @ X0) > X1))).
% 20.58/6.93 thf(func_def_1076, type, sK68: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1077, type, sK69: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1078, type, sK70: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1079, type, sK71: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1080, type, sK72: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1081, type, sK73: !>[X0: $tType, X1: $tType]:(((X0 > nat) > (X1 > X0 > $o) > set @ X1 > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1082, type, sK74: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.58/6.93 thf(func_def_1083, type, sK75: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.58/6.93 thf(func_def_1084, type, sK76: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.58/6.93 thf(func_def_1085, type, sK77: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.58/6.93 thf(func_def_1086, type, sK78: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.58/6.93 thf(func_def_1087, type, sK79: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.58/6.93 thf(func_def_1088, type, sK80: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.58/6.93 thf(func_def_1089, type, sK81: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1090, type, sK82: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1091, type, sK83: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_1092, type, sK84: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1093, type, sK85: !>[X0: $tType, X1: $tType]:(((X0 > $o) > set @ X1 > (X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1094, type, sK86: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1095, type, sK87: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 20.58/6.93 thf(func_def_1096, type, sK88: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 20.58/6.93 thf(func_def_1097, type, sK89: !>[X0: $tType]:(((X0 > $o) > option @ X0 > X0))).
% 20.58/6.93 thf(func_def_1098, type, sK90: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 20.58/6.93 thf(func_def_1099, type, sK91: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1100, type, sK92: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1101, type, sK93: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1102, type, sK94: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_1103, type, sK95: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 20.58/6.93 thf(func_def_1104, type, sK96: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1105, type, sK97: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_1106, type, sK98: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.58/6.93 thf(func_def_1107, type, sK99: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.58/6.93 thf(func_def_1108, type, sK100: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.58/6.93 thf(func_def_1109, type, sK101: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.58/6.93 thf(func_def_1110, type, sK102: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.58/6.93 thf(func_def_1111, type, sK103: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.58/6.93 thf(func_def_1112, type, sK104: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.58/6.93 thf(func_def_1113, type, sK105: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_1114, type, sK106: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1115, type, sK107: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1116, type, sK108: !>[X0: $tType]:((set @ X0 > set @ X0 > (X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1117, type, sK109: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1118, type, sK110: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1119, type, sK111: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1120, type, sK112: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1121, type, sK113: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_1122, type, sK114: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_1123, type, sK115: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1124, type, sK116: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1125, type, sK117: !>[X0: $tType]:((set @ X0 > (X0 > nat) > X0))).
% 20.58/6.93 thf(func_def_1126, type, sK118: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ product_prod @ X0 @ X1 > X1 > X0))).
% 20.58/6.93 thf(func_def_1127, type, sK119: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ X2 > (X1 > X2 > X0 > $o) > X0 > X2))).
% 20.58/6.93 thf(func_def_1128, type, sK120: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ X2 > (X1 > X2 > X0 > $o) > X0 > X1))).
% 20.58/6.93 thf(func_def_1129, type, sK121: !>[X0: $tType, X1: $tType]:((X1 > X0 > (X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1130, type, sK122: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1131, type, sK123: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > set @ X2) > set @ X1 > (X1 > set @ X0) > X1))).
% 20.58/6.93 thf(func_def_1132, type, sK124: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1133, type, sK125: (int > nat)).
% 20.58/6.93 thf(func_def_1134, type, sK126: (int > nat)).
% 20.58/6.93 thf(func_def_1135, type, sK127: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X1 > X1))).
% 20.58/6.93 thf(func_def_1136, type, sK128: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1137, type, sK129: !>[X0: $tType]:(((X0 > $o) > filter @ X0 > filter @ X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_1138, type, sK130: !>[X0: $tType]:(((X0 > $o) > filter @ X0 > filter @ X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_1139, type, sK131: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > set @ X0) > X1))).
% 20.58/6.93 thf(func_def_1140, type, sK132: (int > set @ int > int > int)).
% 20.58/6.93 thf(func_def_1141, type, sK133: (int > set @ int > int > int)).
% 20.58/6.93 thf(func_def_1142, type, sK134: !>[X0: $tType, X1: $tType]:((set @ set @ X1 > (X1 > X0) > set @ X1))).
% 20.58/6.93 thf(func_def_1143, type, sK135: !>[X0: $tType]:(((X0 > $o) > set @ filter @ X0 > filter @ X0))).
% 20.58/6.93 thf(func_def_1144, type, sK136: !>[X0: $tType]:((set @ filter @ X0 > filter @ X0))).
% 20.58/6.93 thf(func_def_1145, type, sK137: !>[X0: $tType]:((set @ filter @ X0 > filter @ X0))).
% 20.58/6.93 thf(func_def_1146, type, sK138: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_1147, type, sK139: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_1148, type, sK140: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > set @ X0) > set @ X2 > X2))).
% 20.58/6.93 thf(func_def_1149, type, sK141: !>[X0: $tType, X1: $tType]:((set @ X0 > X1 > (X0 > set @ X1) > X0))).
% 20.58/6.93 thf(func_def_1150, type, sK142: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1151, type, sK143: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_1152, type, sK144: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_1153, type, sK145: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_1154, type, sK146: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_1155, type, sK147: (int > (int > $o) > int)).
% 20.58/6.93 thf(func_def_1156, type, sK148: (nat > (nat > $o) > nat)).
% 20.58/6.93 thf(func_def_1157, type, sK149: ((nat > $o) > nat)).
% 20.58/6.93 thf(func_def_1158, type, sK150: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X1 > set @ X2) > set @ X1 > X1))).
% 20.58/6.93 thf(func_def_1159, type, sK151: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1160, type, sK152: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > (X0 > set @ X1) > X0))).
% 20.58/6.93 thf(func_def_1161, type, sK153: !>[X0: $tType, X1: $tType]:((set @ X0 > X1 > (X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1162, type, sK154: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1163, type, sK155: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > nat > X0 > X0))).
% 20.58/6.93 thf(func_def_1164, type, sK156: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > X0))).
% 20.58/6.93 thf(func_def_1165, type, sK157: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > nat))).
% 20.58/6.93 thf(func_def_1166, type, sK158: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > nat))).
% 20.58/6.93 thf(func_def_1167, type, sK159: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1168, type, sK160: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_1169, type, sK161: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_1170, type, sK162: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1171, type, sK163: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1172, type, sK164: !>[X0: $tType, X1: $tType]:((X1 > set @ X0 > (X0 > X1 > $o) > X0))).
% 20.58/6.93 thf(func_def_1173, type, sK165: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X3 @ X1 > X0))).
% 20.58/6.93 thf(func_def_1174, type, sK166: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X3 @ X1 > X2))).
% 20.58/6.93 thf(func_def_1175, type, sK167: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X3 @ X1 > X4))).
% 20.58/6.93 thf(func_def_1176, type, sK168: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X3 @ X1 > X3))).
% 20.58/6.93 thf(func_def_1177, type, sK169: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X3 @ X1 > X5))).
% 20.58/6.93 thf(func_def_1178, type, sK170: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X3 @ X1 > X6))).
% 20.58/6.93 thf(func_def_1179, type, sK171: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X3 @ X1 > X1))).
% 20.58/6.93 thf(func_def_1180, type, sK172: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1181, type, sK173: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1182, type, sK174: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1183, type, sK175: !>[X0: $tType, X1: $tType]:((X1 > product_prod @ X1 @ X0 > X0))).
% 20.58/6.93 thf(func_def_1184, type, sK176: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1185, type, sK177: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X5 > $o) > X3))).
% 20.58/6.93 thf(func_def_1186, type, sK178: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X5 > $o) > X5))).
% 20.58/6.93 thf(func_def_1187, type, sK179: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X5 > $o) > X2))).
% 20.58/6.93 thf(func_def_1188, type, sK180: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X5 > $o) > X4))).
% 20.58/6.93 thf(func_def_1189, type, sK181: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X5 > $o) > X6))).
% 20.58/6.93 thf(func_def_1190, type, sK182: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X5 > $o) > X1))).
% 20.58/6.93 thf(func_def_1191, type, sK183: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X5 > $o) > X0))).
% 20.58/6.93 thf(func_def_1192, type, sK184: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > X0))).
% 20.58/6.93 thf(func_def_1193, type, sK185: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 20.58/6.93 thf(func_def_1194, type, sK186: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 20.58/6.93 thf(func_def_1195, type, sK187: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 20.58/6.93 thf(func_def_1196, type, sK188: !>[X0: $tType, X1: $tType]:((filter @ X0 > set @ X1 > (X0 > X1 > $o) > X1))).
% 20.58/6.93 thf(func_def_1197, type, sK189: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1198, type, sK190: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1199, type, sK191: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > $o) > X0))).
% 20.58/6.93 thf(func_def_1200, type, sK192: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > set @ X0) > X1))).
% 20.58/6.93 thf(func_def_1201, type, sK193: (nat > nat > nat)).
% 20.58/6.93 thf(func_def_1202, type, sK194: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1203, type, sK195: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X1 > X0 > $o) > X1))).
% 20.58/6.93 thf(func_def_1204, type, sK196: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X1 > X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1205, type, sK197: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1206, type, sK198: (assn > product_prod @ heap_ext @ product_unit @ set @ nat > assn > set @ nat)).
% 20.58/6.93 thf(func_def_1207, type, sK199: (assn > product_prod @ heap_ext @ product_unit @ set @ nat > assn > heap_ext @ product_unit)).
% 20.58/6.93 thf(func_def_1208, type, sK200: (assn > product_prod @ heap_ext @ product_unit @ set @ nat > assn > set @ nat)).
% 20.58/6.93 thf(func_def_1209, type, sK201: !>[X0: $tType]:((product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1210, type, sK202: !>[X0: $tType]:((product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > X0))).
% 20.58/6.93 thf(func_def_1211, type, sK203: !>[X0: $tType]:((product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1212, type, sK204: !>[X0: $tType]:((product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > X0))).
% 20.58/6.93 thf(func_def_1213, type, sK205: !>[X0: $tType]:((product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1214, type, sK206: !>[X0: $tType]:((product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1215, type, sK207: !>[X0: $tType]:((product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1216, type, sK208: !>[X0: $tType]:((product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > X0))).
% 20.58/6.93 thf(func_def_1217, type, sK209: !>[X0: $tType]:((product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1218, type, sK210: !>[X0: $tType]:((product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1219, type, sK211: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1220, type, sK212: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1221, type, sK213: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1222, type, sK214: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ X1))).
% 20.58/6.93 thf(func_def_1223, type, sK215: ((assn > $o) > product_prod @ heap_ext @ product_unit @ set @ nat > $o)).
% 20.58/6.93 thf(func_def_1224, type, sK216: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 20.58/6.93 thf(func_def_1225, type, sK217: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1226, type, sK218: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1227, type, sK219: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 20.58/6.93 thf(func_def_1228, type, sK220: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 20.58/6.93 thf(func_def_1229, type, sK221: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0) > (X2 > set @ X1) > set @ X2 > X2))).
% 20.58/6.93 thf(func_def_1230, type, sK222: !>[X0: $tType]:((nat > X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_1231, type, sK223: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1232, type, sK224: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 20.58/6.93 thf(func_def_1233, type, sK225: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1234, type, sK226: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > set @ X1 > (X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1235, type, sK227: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1236, type, sK228: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1237, type, sK229: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1238, type, sK230: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1239, type, sK231: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > $o) > X1))).
% 20.58/6.93 thf(func_def_1240, type, sK232: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ product_prod @ X0 @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1241, type, sK233: !>[X0: $tType]:(((X0 > X0) > X0 > nat))).
% 20.58/6.93 thf(func_def_1242, type, sK234: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1243, type, sK235: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X0 > X0 > X1))).
% 20.58/6.93 thf(func_def_1244, type, sK236: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1245, type, sK237: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1246, type, sK238: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1247, type, sK239: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X0 > X2) > (X2 > X1 > $o) > (X2 > X1 > $o) > X1))).
% 20.58/6.93 thf(func_def_1248, type, sK240: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X0 > X2) > (X2 > X1 > $o) > (X2 > X1 > $o) > X2))).
% 20.58/6.93 thf(func_def_1249, type, sK241: !>[X0: $tType]:(X0)).
% 20.58/6.93 thf(func_def_1250, type, sK242: (int > set @ int > int > int)).
% 20.58/6.93 thf(func_def_1251, type, sK243: (int > set @ int > int > int)).
% 20.58/6.93 thf(func_def_1252, type, sK244: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1253, type, sK245: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 20.58/6.93 thf(func_def_1254, type, sK246: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ X0 > X3))).
% 20.58/6.93 thf(func_def_1255, type, sK247: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ X0 > X1))).
% 20.58/6.93 thf(func_def_1256, type, sK248: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ X0 > X2))).
% 20.58/6.93 thf(func_def_1257, type, sK249: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ X0 > X5))).
% 20.58/6.93 thf(func_def_1258, type, sK250: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ X0 > X4))).
% 20.58/6.93 thf(func_def_1259, type, sK251: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ X0 > X0))).
% 20.58/6.93 thf(func_def_1260, type, sK252: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1261, type, sK253: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1262, type, sK254: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > (X0 > set @ X1) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1263, type, sK255: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > (X0 > set @ X1) > set @ X0 > X1))).
% 20.58/6.93 thf(func_def_1264, type, sK256: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > set @ product_prod @ X1 @ X0 > X1))).
% 20.58/6.93 thf(func_def_1265, type, sK257: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > set @ product_prod @ X1 @ X0 > X0))).
% 20.58/6.93 thf(func_def_1266, type, sK258: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1267, type, sK259: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1268, type, sK260: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 20.58/6.93 thf(func_def_1269, type, sK261: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > (X2 > $o) > product_prod @ X0 @ X1 > X1))).
% 20.58/6.93 thf(func_def_1270, type, sK262: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > (X2 > $o) > product_prod @ X0 @ X1 > X0))).
% 20.58/6.93 thf(func_def_1271, type, sK263: (((product_prod @ heap_ext @ product_unit @ set @ nat > $o) > $o) > assn)).
% 20.58/6.93 thf(func_def_1272, type, sK264: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > X1 > product_prod @ X0 @ X1))).
% 20.58/6.93 thf(func_def_1273, type, sK265: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_1274, type, sK266: (int > (int > $o) > int)).
% 20.58/6.93 thf(func_def_1275, type, sK267: ((int > $o) > int)).
% 20.58/6.93 thf(func_def_1276, type, sK268: (int > (int > $o) > int)).
% 20.58/6.93 thf(func_def_1277, type, sK269: (int > (int > $o) > int)).
% 20.58/6.93 thf(func_def_1278, type, sK270: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 20.58/6.93 thf(func_def_1279, type, sK271: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 20.58/6.93 thf(func_def_1280, type, sK272: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > set @ X0 > X2 > (X0 > X1 > X2 > $o) > X0))).
% 20.58/6.93 thf(func_def_1281, type, sK273: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1282, type, sK274: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1283, type, sK275: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1 > $o) > set @ X0 > nat > X1))).
% 20.58/6.93 thf(func_def_1284, type, sK276: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 20.58/6.93 thf(func_def_1285, type, sK277: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1286, type, sK278: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > X0))).
% 20.58/6.93 thf(func_def_1287, type, sK279: !>[X0: $tType]:((X0 > set @ X0 > X0 > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 20.58/6.93 thf(func_def_1288, type, sK280: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1289, type, sK281: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1290, type, sK282: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1291, type, sK283: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1292, type, sK284: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1293, type, sK285: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1294, type, sK286: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1295, type, sK287: !>[X0: $tType]:((set @ set @ X0 > X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1296, type, sK288: (int > nat)).
% 20.58/6.93 thf(func_def_1297, type, sK289: (int > nat)).
% 20.58/6.93 thf(func_def_1298, type, sK290: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 20.58/6.93 thf(func_def_1299, type, sK291: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 20.58/6.93 thf(func_def_1300, type, sK292: (nat > (nat > $o) > nat)).
% 20.58/6.93 thf(func_def_1301, type, sK293: ((nat > $o) > nat)).
% 20.58/6.93 thf(func_def_1302, type, sK294: (int > nat)).
% 20.58/6.93 thf(func_def_1303, type, sK295: (int > nat)).
% 20.58/6.93 thf(func_def_1304, type, sK296: (int > nat)).
% 20.58/6.93 thf(func_def_1305, type, sK297: (int > nat)).
% 20.58/6.93 thf(func_def_1306, type, sK298: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ X1 > $o) > X3))).
% 20.58/6.93 thf(func_def_1307, type, sK299: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ X1 > $o) > X0))).
% 20.58/6.93 thf(func_def_1308, type, sK300: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ X1 > $o) > X2))).
% 20.58/6.93 thf(func_def_1309, type, sK301: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ X1 > $o) > X4))).
% 20.58/6.93 thf(func_def_1310, type, sK302: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ X1 > $o) > X5))).
% 20.58/6.93 thf(func_def_1311, type, sK303: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ X1 > $o) > X1))).
% 20.58/6.93 thf(func_def_1312, type, sK304: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X0 > X1))).
% 20.58/6.93 thf(func_def_1313, type, sK305: !>[X0: $tType, X1: $tType]:((X0 > product_prod @ X1 @ X0 > X1))).
% 20.58/6.93 thf(func_def_1314, type, sK306: ((nat > nat) > nat)).
% 20.58/6.93 thf(func_def_1315, type, sK307: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1316, type, sK308: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1317, type, sK309: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1318, type, sK310: !>[X0: $tType, X1: $tType]:((X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > (X0 > X1 > $o) > X0 > X0))).
% 20.58/6.93 thf(func_def_1319, type, sK311: !>[X0: $tType, X1: $tType]:((X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > (X0 > X1 > $o) > X0 > X0))).
% 20.58/6.93 thf(func_def_1320, type, sK312: !>[X0: $tType, X1: $tType]:((X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > (X0 > X1 > $o) > X0 > X1))).
% 20.58/6.93 thf(func_def_1321, type, sK313: !>[X0: $tType, X1: $tType]:((X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > (X0 > X1 > $o) > X0 > X1))).
% 20.58/6.93 thf(func_def_1322, type, sK314: !>[X0: $tType, X1: $tType]:((X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > (X0 > X1 > $o) > X0 > X1))).
% 20.58/6.93 thf(func_def_1323, type, sK315: !>[X0: $tType, X1: $tType]:((X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > (X0 > X1 > $o) > X0 > X0))).
% 20.58/6.93 thf(func_def_1324, type, sK316: (int > (int > $o) > int)).
% 20.58/6.93 thf(func_def_1325, type, sK317: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1326, type, sK318: !>[X0: $tType, X1: $tType]:((set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X0 > X1 > X0 > X1 > X1))).
% 20.58/6.93 thf(func_def_1327, type, sK319: !>[X0: $tType, X1: $tType]:((set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1 > X0 > X1 > X0 > X1 > X0))).
% 20.58/6.93 thf(func_def_1328, type, sK320: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1329, type, sK321: (product_prod @ int @ int > int)).
% 20.58/6.93 thf(func_def_1330, type, sK322: (product_prod @ int @ int > int)).
% 20.58/6.93 thf(func_def_1331, type, sK323: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > (X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1332, type, sK324: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > (X1 > X0) > X0))).
% 20.58/6.93 thf(func_def_1333, type, sK325: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1334, type, sK326: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > $o) > (X0 > X1) > (X0 > X2) > X0 > product_prod @ X2 @ X1))).
% 20.58/6.93 thf(func_def_1335, type, sK327: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1336, type, sK328: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 20.58/6.93 thf(func_def_1337, type, sK329: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 20.58/6.93 thf(func_def_1338, type, sK330: (int > set @ int > int > int)).
% 20.58/6.93 thf(func_def_1339, type, sK331: (int > set @ int > int > int)).
% 20.58/6.93 thf(func_def_1340, type, sK332: ((int > $o) > set @ int > int > int)).
% 20.58/6.93 thf(func_def_1341, type, sK333: (set @ int > (int > $o) > int > int)).
% 20.58/6.93 thf(func_def_1342, type, sK334: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > set @ X1 > (X1 > X2) > X1))).
% 20.58/6.93 thf(func_def_1343, type, sK335: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > set @ X1 > (X1 > X2) > X1))).
% 20.58/6.93 thf(func_def_1344, type, sK336: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > set @ X0) > X1))).
% 20.58/6.93 thf(func_def_1345, type, sK337: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > set @ X0) > X1))).
% 20.58/6.93 thf(func_def_1346, type, sK338: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > set @ X0) > X1))).
% 20.58/6.93 thf(func_def_1347, type, sK339: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > filter @ X0) > set @ X1 > X1 > X0 > $o))).
% 20.58/6.93 thf(func_def_1348, type, sK340: !>[X0: $tType, X1: $tType]:((X0 > (X0 > $o) > (X1 > filter @ X0) > set @ X1 > X1))).
% 20.58/6.93 thf(func_def_1349, type, sK341: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X0 > $o) > set @ X1 > X0))).
% 20.58/6.93 thf(func_def_1350, type, sK342: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > filter @ X0) > set @ X1 > X1))).
% 20.58/6.93 thf(func_def_1351, type, sK343: (int > (int > $o) > int)).
% 20.58/6.93 thf(func_def_1352, type, sK344: !>[X0: $tType]:(((X0 > X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 20.58/6.93 thf(func_def_1353, type, sK345: !>[X0: $tType]:(((X0 > X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 20.58/6.93 thf(func_def_1354, type, sK346: !>[X0: $tType]:(((X0 > X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 20.58/6.93 thf(func_def_1355, type, sK347: !>[X0: $tType]:(((X0 > X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 20.58/6.93 thf(func_def_1356, type, sK348: !>[X0: $tType]:(((X0 > X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 20.58/6.93 thf(func_def_1357, type, sK349: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1358, type, sK350: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1359, type, sK351: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1360, type, sK352: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1361, type, sK353: (assn > product_prod @ heap_ext @ product_unit @ set @ nat > $o)).
% 20.58/6.93 thf(func_def_1362, type, sK354: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_1363, type, sK355: (int > nat)).
% 20.58/6.93 thf(func_def_1364, type, sK356: !>[X0: $tType]:((product_prod @ list @ list @ X0 @ list @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1365, type, sK357: !>[X0: $tType]:((product_prod @ list @ list @ X0 @ list @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1366, type, sK358: !>[X0: $tType]:((product_prod @ list @ list @ X0 @ list @ list @ X0 > list @ list @ X0))).
% 20.58/6.93 thf(func_def_1367, type, sK359: !>[X0: $tType]:((product_prod @ list @ list @ X0 @ list @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1368, type, sK360: !>[X0: $tType]:((product_prod @ list @ list @ X0 @ list @ list @ X0 > list @ list @ X0))).
% 20.58/6.93 thf(func_def_1369, type, sK361: !>[X0: $tType]:((product_prod @ list @ list @ X0 @ list @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1370, type, sK362: !>[X0: $tType]:((product_prod @ list @ list @ X0 @ list @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1371, type, sK363: !>[X0: $tType]:((product_prod @ list @ list @ X0 @ list @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1372, type, sK364: !>[X0: $tType]:((product_prod @ list @ list @ X0 @ list @ list @ X0 > list @ list @ X0))).
% 20.58/6.93 thf(func_def_1373, type, sK365: !>[X0: $tType]:((product_prod @ list @ list @ X0 @ list @ list @ X0 > list @ list @ X0))).
% 20.58/6.93 thf(func_def_1374, type, sK366: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1375, type, sK367: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1376, type, sK368: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 20.58/6.93 thf(func_def_1377, type, sK369: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 20.58/6.93 thf(func_def_1378, type, sK370: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > (X0 > $o) > set @ X1 > X1))).
% 20.58/6.93 thf(func_def_1379, type, sK371: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X1 > X1))).
% 20.58/6.93 thf(func_def_1380, type, sK372: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1381, type, sK373: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0 > X2) > (product_prod @ X1 @ X0 > X2) > X1))).
% 20.58/6.93 thf(func_def_1382, type, sK374: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0 > X2) > (product_prod @ X1 @ X0 > X2) > X0))).
% 20.58/6.93 thf(func_def_1383, type, sK375: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 20.58/6.93 thf(func_def_1384, type, sK376: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 20.58/6.93 thf(func_def_1385, type, sK377: (int > int > set @ int > int)).
% 20.58/6.93 thf(func_def_1386, type, sK378: (int > int > set @ int > int)).
% 20.58/6.93 thf(func_def_1387, type, sK379: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2) > (X0 > X1) > (X1 > X2) > X1))).
% 20.58/6.93 thf(func_def_1388, type, sK380: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1389, type, sK381: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1390, type, sK382: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1391, type, sK383: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1392, type, sK384: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X1 > X2) > (X1 > X2) > (X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1393, type, sK385: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1394, type, sK386: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1395, type, sK387: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 20.58/6.93 thf(func_def_1396, type, sK388: !>[X0: $tType, X1: $tType]:((set @ X1 > X0 > X1))).
% 20.58/6.93 thf(func_def_1397, type, sK389: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0))).
% 20.58/6.93 thf(func_def_1398, type, sK390: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X2 > (X2 > X0 > X1 > $o) > X1 > X0 > X2))).
% 20.58/6.93 thf(func_def_1399, type, sK391: !>[X0: $tType]:(((X0 > X0) > X0))).
% 20.58/6.93 thf(func_def_1400, type, sK392: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1401, type, sK393: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1402, type, sK394: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > X0))).
% 20.58/6.93 thf(func_def_1403, type, sK395: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > X1 > X0 > $o))).
% 20.58/6.93 thf(func_def_1404, type, sK396: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > X1 > X0 > $o))).
% 20.58/6.93 thf(func_def_1405, type, sK397: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1406, type, sK398: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > X1))).
% 20.58/6.93 thf(func_def_1407, type, sK399: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > X0))).
% 20.58/6.93 thf(func_def_1408, type, sK400: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > list @ X1))).
% 20.58/6.93 thf(func_def_1409, type, sK401: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > X1))).
% 20.58/6.93 thf(func_def_1410, type, sK402: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > list @ X1))).
% 20.58/6.93 thf(func_def_1411, type, sK403: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > X1 > X0 > $o))).
% 20.58/6.93 thf(func_def_1412, type, sK404: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0 > $o) @ product_prod @ list @ X1 @ list @ X0 > X1 > X0 > $o))).
% 20.58/6.93 thf(func_def_1413, type, sK405: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0 > X0))).
% 20.58/6.93 thf(func_def_1414, type, sK406: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0 > X0))).
% 20.58/6.93 thf(func_def_1415, type, sK407: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > filter @ X1 > X1 > X0))).
% 20.58/6.93 thf(func_def_1416, type, sK408: ((int > $o) > int)).
% 20.58/6.93 thf(func_def_1417, type, sK409: ((int > $o) > int)).
% 20.58/6.93 thf(func_def_1418, type, sK410: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1419, type, sK411: (product_prod @ nat @ nat > nat)).
% 20.58/6.93 thf(func_def_1420, type, sK412: (product_prod @ nat @ nat > nat)).
% 20.58/6.93 thf(func_def_1421, type, sK413: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1422, type, sK414: !>[X0: $tType]:(((nat > set @ X0) > set @ X0 > nat))).
% 20.58/6.93 thf(func_def_1423, type, sK415: !>[X0: $tType]:((nat > (nat > set @ X0) > nat))).
% 20.58/6.93 thf(func_def_1424, type, sK416: !>[X0: $tType]:((nat > (nat > set @ X0) > nat))).
% 20.58/6.93 thf(func_def_1425, type, sK417: !>[X0: $tType]:((nat > (nat > set @ X0) > nat))).
% 20.58/6.93 thf(func_def_1426, type, sK418: ((nat > $o) > nat)).
% 20.58/6.93 thf(func_def_1427, type, sK419: (nat > (nat > $o) > nat)).
% 20.58/6.93 thf(func_def_1428, type, sK420: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1429, type, sK421: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1430, type, sK422: !>[X0: $tType]:((set @ X0 > X0 > set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_1431, type, sK423: !>[X0: $tType]:((set @ X0 > nat))).
% 20.58/6.93 thf(func_def_1432, type, sK424: !>[X0: $tType]:((set @ X0 > X0 > nat))).
% 20.58/6.93 thf(func_def_1433, type, sK425: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > filter @ X1) > (X1 > $o) > set @ X0))).
% 20.58/6.93 thf(func_def_1434, type, sK426: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_1435, type, sK427: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_1436, type, sK428: !>[X0: $tType]:((X0 > set @ X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_1437, type, sK429: (int > int > set @ int > int)).
% 20.58/6.93 thf(func_def_1438, type, sK430: (int > int > set @ int > int)).
% 20.58/6.93 thf(func_def_1439, type, sK431: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1440, type, sK432: ((nat > $o) > nat)).
% 20.58/6.93 thf(func_def_1441, type, sK433: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > product_prod @ X0 @ X1 > X1))).
% 20.58/6.93 thf(func_def_1442, type, sK434: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > product_prod @ X0 @ X1 > X0))).
% 20.58/6.93 thf(func_def_1443, type, sK435: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > X1 > X0))).
% 20.58/6.93 thf(func_def_1444, type, sK436: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > X0 > X1))).
% 20.58/6.93 thf(func_def_1445, type, sK437: !>[X0: $tType]:((set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1446, type, sK438: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1447, type, sK439: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1448, type, sK440: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > set @ X2) > set @ product_prod @ X0 @ X0 > X1))).
% 20.58/6.93 thf(func_def_1449, type, sK441: !>[X0: $tType]:((X0 > set @ X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_1450, type, sK442: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1451, type, sK443: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1452, type, sK444: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1453, type, sK445: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 20.58/6.93 thf(func_def_1454, type, sK446: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1455, type, sK447: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 20.58/6.93 thf(func_def_1456, type, sK448: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1457, type, sK449: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2) > (X1 > X2) > (X0 > X1) > X1))).
% 20.58/6.93 thf(func_def_1458, type, sK450: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X0 > (X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1459, type, sK451: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X0 > (X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1460, type, sK452: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1461, type, sK453: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X1 > (X1 > X2) > (X2 > X0) > X1))).
% 20.58/6.93 thf(func_def_1462, type, sK454: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1463, type, sK455: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1464, type, sK456: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1465, type, sK457: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1466, type, sK458: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1467, type, sK459: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1))).
% 20.58/6.93 thf(func_def_1468, type, sK460: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 20.58/6.93 thf(func_def_1469, type, sK461: (int > nat)).
% 20.58/6.93 thf(func_def_1470, type, sK462: (int > set @ int > int > int)).
% 20.58/6.93 thf(func_def_1471, type, sK463: (int > set @ int > int > int)).
% 20.58/6.93 thf(func_def_1472, type, sK464: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 20.58/6.93 thf(func_def_1473, type, sK465: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1474, type, sK466: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0) > (X2 > X0) > set @ X1 > set @ X2 > X1))).
% 20.58/6.93 thf(func_def_1475, type, sK467: (int > set @ int > int > int)).
% 20.58/6.93 thf(func_def_1476, type, sK468: (int > set @ int > int > int)).
% 20.58/6.93 thf(func_def_1477, type, sK469: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1478, type, sK470: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1479, type, sK471: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X0 > set @ X1 > X1))).
% 20.58/6.93 thf(func_def_1480, type, sK472: (int > (int > $o) > int)).
% 20.58/6.93 thf(func_def_1481, type, sK473: (int > (int > $o) > int)).
% 20.58/6.93 thf(func_def_1482, type, sK474: (product_prod @ code_natural @ code_natural > code_natural)).
% 20.58/6.93 thf(func_def_1483, type, sK475: (product_prod @ code_natural @ code_natural > code_natural)).
% 20.58/6.93 thf(func_def_1484, type, sK476: ((int > $o) > nat)).
% 20.58/6.93 thf(func_def_1485, type, sK477: ((int > $o) > nat)).
% 20.58/6.93 thf(func_def_1486, type, sK478: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1487, type, sK479: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X1))).
% 20.58/6.93 thf(func_def_1488, type, sK480: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1489, type, sK481: !>[X0: $tType, X1: $tType]:((set @ X1 > X0 > (X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1490, type, sK482: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1))).
% 20.58/6.93 thf(func_def_1491, type, sK483: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1492, type, sK484: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1493, type, sK485: !>[X0: $tType]:((set @ X0 > X0 > nat))).
% 20.58/6.93 thf(func_def_1494, type, sK486: !>[X0: $tType]:((set @ X0 > nat))).
% 20.58/6.93 thf(func_def_1495, type, sK487: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > X0))).
% 20.58/6.93 thf(func_def_1496, type, sK488: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1497, type, sK489: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_1498, type, sK490: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > X0))).
% 20.58/6.93 thf(func_def_1499, type, sK491: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1500, type, sK492: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1501, type, sK493: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > X0))).
% 20.58/6.93 thf(func_def_1502, type, sK494: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_1503, type, sK495: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1504, type, sK496: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_1505, type, sK497: (nat > (nat > $o) > nat)).
% 20.58/6.93 thf(func_def_1506, type, sK498: ((nat > $o) > nat)).
% 20.58/6.93 thf(func_def_1507, type, sK499: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1508, type, sK500: ((product_prod @ heap_ext @ product_unit @ set @ nat > $o) > assn > product_prod @ heap_ext @ product_unit @ set @ nat)).
% 20.58/6.93 thf(func_def_1509, type, sK501: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1510, type, sK502: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X0 > (X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1511, type, sK503: (int > set @ int > int > int)).
% 20.58/6.93 thf(func_def_1512, type, sK504: (int > set @ int > int > int)).
% 20.58/6.93 thf(func_def_1513, type, sK505: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1514, type, sK506: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1515, type, sK507: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 20.58/6.93 thf(func_def_1516, type, sK508: ((product_prod @ heap_ext @ product_unit @ set @ nat > $o) > assn)).
% 20.58/6.93 thf(func_def_1517, type, sK509: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ X1 > filter @ X0 > X1))).
% 20.58/6.93 thf(func_def_1518, type, sK510: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > X0))).
% 20.58/6.93 thf(func_def_1519, type, sK511: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > X0))).
% 20.58/6.93 thf(func_def_1520, type, sK512: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > X0))).
% 20.58/6.93 thf(func_def_1521, type, sK513: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > (X1 > X0) > (X1 > X0) > (X0 > X2) > X0))).
% 20.58/6.93 thf(func_def_1522, type, sK514: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > (X1 > X0) > (X1 > X0) > (X0 > X2) > X0))).
% 20.58/6.93 thf(func_def_1523, type, sK515: (int > int > set @ int > int)).
% 20.58/6.93 thf(func_def_1524, type, sK516: (int > int > set @ int > int)).
% 20.58/6.93 thf(func_def_1525, type, sK517: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > X0))).
% 20.58/6.93 thf(func_def_1526, type, sK518: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1527, type, sK519: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > nat > nat))).
% 20.58/6.93 thf(func_def_1528, type, sK520: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > nat > X0))).
% 20.58/6.93 thf(func_def_1529, type, sK521: !>[X0: $tType]:((X0 > (X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 20.58/6.93 thf(func_def_1530, type, sK522: !>[X0: $tType]:((X0 > (X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 20.58/6.93 thf(func_def_1531, type, sK523: !>[X0: $tType]:((X0 > (X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 20.58/6.93 thf(func_def_1532, type, sK524: ((nat > $o) > (nat > $o) > nat)).
% 20.58/6.93 thf(func_def_1533, type, sK525: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 20.58/6.93 thf(func_def_1534, type, sK526: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 20.58/6.93 thf(func_def_1535, type, sK527: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > X1))).
% 20.58/6.93 thf(func_def_1536, type, sK528: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1537, type, sK529: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1538, type, sK530: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1539, type, sK531: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1540, type, sK532: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1541, type, sK533: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_1542, type, sK534: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1543, type, sK535: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1544, type, sK536: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 20.58/6.93 thf(func_def_1545, type, sK537: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1546, type, sK538: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1547, type, sK539: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 20.58/6.93 thf(func_def_1548, type, sK540: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 20.58/6.93 thf(func_def_1549, type, sK541: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1550, type, sK542: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1551, type, sK543: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > $o) > (X0 > X2 > $o) > (X2 > X0 > X1) > X2))).
% 20.58/6.93 thf(func_def_1552, type, sK544: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > $o) > (X0 > X2 > $o) > (X2 > X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1553, type, sK545: !>[X0: $tType, X1: $tType]:((product_prod @ code_natural @ product_prod @ (X0 > X1 > product_prod @ X0 @ X1) @ X0 > code_natural))).
% 20.58/6.93 thf(func_def_1554, type, sK546: !>[X0: $tType, X1: $tType]:((product_prod @ code_natural @ product_prod @ (X0 > X1 > product_prod @ X0 @ X1) @ X0 > X0 > X1 > product_prod @ X0 @ X1))).
% 20.58/6.93 thf(func_def_1555, type, sK547: !>[X0: $tType, X1: $tType]:((product_prod @ code_natural @ product_prod @ (X0 > X1 > product_prod @ X0 @ X1) @ X0 > X0))).
% 20.58/6.93 thf(func_def_1556, type, sK548: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1557, type, sK549: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1558, type, sK550: (nat > nat > nat)).
% 20.58/6.93 thf(func_def_1559, type, sK551: (int > int > set @ int > int)).
% 20.58/6.93 thf(func_def_1560, type, sK552: (int > int > set @ int > int)).
% 20.58/6.93 thf(func_def_1561, type, sK553: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1562, type, sK554: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > X1 > X0))).
% 20.58/6.93 thf(func_def_1563, type, sK555: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X0))).
% 20.58/6.93 thf(func_def_1564, type, sK556: (int > set @ int > int > int)).
% 20.58/6.93 thf(func_def_1565, type, sK557: (int > set @ int > int > int)).
% 20.58/6.93 thf(func_def_1566, type, sK558: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X2))).
% 20.58/6.93 thf(func_def_1567, type, sK559: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X1))).
% 20.58/6.93 thf(func_def_1568, type, sK560: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X0))).
% 20.58/6.93 thf(func_def_1569, type, sK561: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > set @ X2) > (X0 > set @ X1) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1570, type, sK562: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1571, type, sK563: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1572, type, sK564: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1573, type, sK565: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1574, type, sK566: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1575, type, sK567: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1576, type, sK568: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > $o) > set @ X0 > X1))).
% 20.58/6.93 thf(func_def_1577, type, sK569: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > X0))).
% 20.58/6.93 thf(func_def_1578, type, sK570: ((int > $o) > int)).
% 20.58/6.93 thf(func_def_1579, type, sK571: (int > (int > $o) > set @ int > int)).
% 20.58/6.93 thf(func_def_1580, type, sK572: (int > (int > $o) > set @ int > int)).
% 20.58/6.93 thf(func_def_1581, type, sK573: ((int > $o) > int > int)).
% 20.58/6.93 thf(func_def_1582, type, sK574: (int > (int > $o) > (int > $o) > int)).
% 20.58/6.93 thf(func_def_1583, type, sK575: (int > (int > $o) > int)).
% 20.58/6.93 thf(func_def_1584, type, sK576: (int > (int > $o) > int)).
% 20.58/6.93 thf(func_def_1585, type, sK577: ((int > $o) > set @ int > int > int)).
% 20.58/6.93 thf(func_def_1586, type, sK578: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > set @ X0))).
% 20.58/6.93 thf(func_def_1587, type, sK579: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1588, type, sK580: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1589, type, sK581: !>[X0: $tType]:((nat > set @ set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1590, type, sK582: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1591, type, sK583: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1592, type, sK584: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1593, type, sK585: (int > int > set @ int > int)).
% 20.58/6.93 thf(func_def_1594, type, sK586: (int > int > set @ int > int)).
% 20.58/6.93 thf(func_def_1595, type, sK587: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1596, type, sK588: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1597, type, sK589: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1598, type, sK590: (assn > assn > product_prod @ heap_ext @ product_unit @ set @ nat)).
% 20.58/6.93 thf(func_def_1599, type, sK591: (assn > assn > product_prod @ heap_ext @ product_unit @ set @ nat)).
% 20.58/6.93 thf(func_def_1600, type, sK592: !>[X0: $tType]:((nat > (nat > set @ X0) > (nat > set @ X0) > nat))).
% 20.58/6.93 thf(func_def_1601, type, sK593: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1602, type, sK594: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1603, type, sK595: !>[X0: $tType, X1: $tType]:((set @ X1 > X0 > (X1 > set @ X0) > X1))).
% 20.58/6.93 thf(func_def_1604, type, sK596: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1 > X0))).
% 20.58/6.93 thf(func_def_1605, type, sK597: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 20.58/6.93 thf(func_def_1606, type, sK598: !>[X0: $tType]:(((set @ X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1607, type, sK599: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 20.58/6.93 thf(func_def_1608, type, sK600: ((nat > $o) > nat)).
% 20.58/6.93 thf(func_def_1609, type, sK601: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 20.58/6.93 thf(func_def_1610, type, sK602: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1611, type, sK603: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ X3 > X4))).
% 20.58/6.93 thf(func_def_1612, type, sK604: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ X3 > X0))).
% 20.58/6.93 thf(func_def_1613, type, sK605: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ X3 > X3))).
% 20.58/6.93 thf(func_def_1614, type, sK606: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ X3 > X2))).
% 20.58/6.93 thf(func_def_1615, type, sK607: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ X3 > X1))).
% 20.58/6.93 thf(func_def_1616, type, sK608: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ X3 > X1))).
% 20.58/6.93 thf(func_def_1617, type, sK609: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ X3 > X3))).
% 20.58/6.93 thf(func_def_1618, type, sK610: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ X3 > X0))).
% 20.58/6.93 thf(func_def_1619, type, sK611: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ X3 > X2))).
% 20.58/6.93 thf(func_def_1620, type, sK612: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1621, type, sK613: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 20.58/6.93 thf(func_def_1622, type, sK614: !>[X0: $tType]:((set @ X0 > (X0 > $o) > (X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1623, type, sK615: (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)).
% 20.58/6.93 thf(func_def_1624, type, sK616: (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)).
% 20.58/6.93 thf(func_def_1625, type, sK617: (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)).
% 20.58/6.93 thf(func_def_1626, type, sK618: (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)).
% 20.58/6.93 thf(func_def_1627, type, sK619: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1628, type, sK620: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1629, type, sK621: !>[X0: $tType]:((set @ set @ X0 > nat > set @ X0))).
% 20.58/6.93 thf(func_def_1630, type, sK622: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > X0) > set @ X1 > X1))).
% 20.58/6.93 thf(func_def_1631, type, sK623: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1632, type, sK624: (int > set @ int > int > int)).
% 20.58/6.93 thf(func_def_1633, type, sK625: (int > set @ int > int > int)).
% 20.58/6.93 thf(func_def_1634, type, sK626: (set @ int > (int > $o) > int > int)).
% 20.58/6.93 thf(func_def_1635, type, sK627: ((int > $o) > set @ int > int > int)).
% 20.58/6.93 thf(func_def_1636, type, sK628: (product_prod @ num @ num > num)).
% 20.58/6.93 thf(func_def_1637, type, sK629: (product_prod @ num @ num > num)).
% 20.58/6.93 thf(func_def_1638, type, sK630: (product_prod @ num @ num > num)).
% 20.58/6.93 thf(func_def_1639, type, sK631: (product_prod @ num @ num > num)).
% 20.58/6.93 thf(func_def_1640, type, sK632: (product_prod @ num @ num > num)).
% 20.58/6.93 thf(func_def_1641, type, sK633: (product_prod @ num @ num > num)).
% 20.58/6.93 thf(func_def_1642, type, sK634: (product_prod @ num @ num > num)).
% 20.58/6.93 thf(func_def_1643, type, sK635: (product_prod @ num @ num > num)).
% 20.58/6.93 thf(func_def_1644, type, sK636: (product_prod @ num @ num > num)).
% 20.58/6.93 thf(func_def_1645, type, sK637: (product_prod @ num @ num > num)).
% 20.58/6.93 thf(func_def_1646, type, sK638: (product_prod @ num @ num > num)).
% 20.58/6.93 thf(func_def_1647, type, sK639: (product_prod @ num @ num > num)).
% 20.58/6.93 thf(func_def_1648, type, sK640: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1649, type, sK641: (nat > int > (nat > int) > nat)).
% 20.58/6.93 thf(func_def_1650, type, sK642: (nat > (nat > int) > nat)).
% 20.58/6.93 thf(func_def_1651, type, sK643: !>[X0: $tType, X1: $tType]:((set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > X0 > (X1 > X0 > $o) > X1 > X1))).
% 20.58/6.93 thf(func_def_1652, type, sK644: !>[X0: $tType, X1: $tType]:((set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > X0 > (X1 > X0 > $o) > X1 > X0))).
% 20.58/6.93 thf(func_def_1653, type, sK645: !>[X0: $tType, X1: $tType]:((set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > X0 > (X1 > X0 > $o) > X1 > X1))).
% 20.58/6.93 thf(func_def_1654, type, sK646: !>[X0: $tType, X1: $tType]:((set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > X0 > (X1 > X0 > $o) > X1 > X0))).
% 20.58/6.93 thf(func_def_1655, type, sK647: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1656, type, sK648: (int > nat)).
% 20.58/6.93 thf(func_def_1657, type, sK649: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 20.58/6.93 thf(func_def_1658, type, sK650: !>[X0: $tType]:((set @ X0 > nat > set @ X0))).
% 20.58/6.93 thf(func_def_1659, type, sK651: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 20.58/6.93 thf(func_def_1660, type, sK652: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1661, type, sK653: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1662, type, sK654: !>[X0: $tType]:((product_prod @ (X0 > $o) @ product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1663, type, sK655: !>[X0: $tType]:((product_prod @ (X0 > $o) @ product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1664, type, sK656: !>[X0: $tType]:((product_prod @ (X0 > $o) @ product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_1665, type, sK657: !>[X0: $tType]:((product_prod @ (X0 > $o) @ product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1666, type, sK658: !>[X0: $tType]:((product_prod @ (X0 > $o) @ product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_1667, type, sK659: !>[X0: $tType]:((product_prod @ (X0 > $o) @ product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1668, type, sK660: !>[X0: $tType]:((product_prod @ (X0 > $o) @ product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1669, type, sK661: !>[X0: $tType]:((product_prod @ (X0 > $o) @ product_prod @ product_prod @ list @ X0 @ list @ X0 @ list @ X0 > X0))).
% 20.58/6.93 thf(func_def_1670, type, sK662: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 20.58/6.93 thf(func_def_1671, type, sK663: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > set @ X0 > X0))).
% 20.58/6.93 thf(func_def_1672, type, sK664: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 20.58/6.93 thf(func_def_1673, type, sK665: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > X2 > X1) @ product_prod @ list @ X0 @ list @ X2 > X0 > X2 > X1))).
% 20.58/6.93 thf(func_def_1674, type, sK666: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > X2 > X1) @ product_prod @ list @ X0 @ list @ X2 > list @ X2))).
% 20.58/6.93 thf(func_def_1675, type, sK667: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > X2 > X1) @ product_prod @ list @ X0 @ list @ X2 > X2))).
% 20.58/6.93 thf(func_def_1676, type, sK668: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > X2 > X1) @ product_prod @ list @ X0 @ list @ X2 > X0 > X2 > X1))).
% 20.58/6.93 thf(func_def_1677, type, sK669: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > X2 > X1) @ product_prod @ list @ X0 @ list @ X2 > X0))).
% 20.58/6.93 thf(func_def_1678, type, sK670: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > X2 > X1) @ product_prod @ list @ X0 @ list @ X2 > list @ X0))).
% 20.58/6.93 thf(func_def_1679, type, sK671: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > X2 > X1) @ product_prod @ list @ X0 @ list @ X2 > X0 > X2 > X1))).
% 20.58/6.93 thf(func_def_1680, type, sK672: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > X2 > X1) @ product_prod @ list @ X0 @ list @ X2 > list @ X2))).
% 20.58/6.93 thf(func_def_1681, type, sK673: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > X2 > X1) @ product_prod @ list @ X0 @ list @ X2 > X2))).
% 20.58/6.93 thf(func_def_1682, type, sK674: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > X2 > X1) @ product_prod @ list @ X0 @ list @ X2 > list @ X0))).
% 20.58/6.93 thf(func_def_1683, type, sK675: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > X2 > X1) @ product_prod @ list @ X0 @ list @ X2 > X0 > X2 > X1))).
% 20.58/6.93 thf(func_def_1684, type, sK676: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > X2 > X1) @ product_prod @ list @ X0 @ list @ X2 > X0))).
% 20.58/6.93 thf(func_def_1685, type, sK677: (int > set @ int > int > int)).
% 20.58/6.93 thf(func_def_1686, type, sK678: (int > set @ int > int > int)).
% 20.58/6.93 thf(func_def_1687, type, sK679: (set @ int > int > (int > $o) > int)).
% 20.58/6.93 thf(func_def_1688, type, sK680: (set @ int > int > (int > $o) > int)).
% 20.58/6.93 thf(func_def_1689, type, sK681: !>[X0: $tType, X1: $tType]:(((X1 > filter @ X0) > set @ X1 > set @ X1))).
% 20.58/6.93 thf(func_def_1690, type, sK682: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X0 > set @ X1) > X0))).
% 20.58/6.93 thf(func_def_1691, type, sK683: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ X3 > $o) > X0))).
% 20.58/6.93 thf(func_def_1692, type, sK684: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ X3 > $o) > X2))).
% 20.58/6.93 thf(func_def_1693, type, sK685: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ X3 > $o) > X1))).
% 20.58/6.93 thf(func_def_1694, type, sK686: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ X3 > $o) > X3))).
% 20.58/6.93 thf(func_def_1695, type, sK687: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1696, type, sK688: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > X0 > X0 > $o))).
% 20.58/6.93 thf(func_def_1697, type, sK689: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.93 thf(func_def_1698, type, sK690: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > X0))).
% 20.58/6.94 thf(func_def_1699, type, sK691: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 20.58/6.94 thf(func_def_1700, type, sK692: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ product_prod @ list @ X0 @ list @ X0 > X0 > X0 > $o))).
% 20.58/6.94 thf(func_def_1701, type, sK693: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > set @ X1 > X0))).
% 20.58/6.94 thf(func_def_1702, type, sK694: (int > int > set @ int > int)).
% 20.58/6.94 thf(func_def_1703, type, sK695: (int > int > set @ int > int)).
% 20.58/6.94 thf(func_def_1704, type, sK696: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > set @ X1 > X1))).
% 20.58/6.94 thf(func_def_1705, type, sK697: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ X1 > $o) > X2))).
% 20.58/6.94 thf(func_def_1706, type, sK698: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ X1 > $o) > X1))).
% 20.58/6.94 thf(func_def_1707, type, sK699: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ X1 > $o) > X4))).
% 20.58/6.94 thf(func_def_1708, type, sK700: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ X1 > $o) > X3))).
% 20.58/6.94 thf(func_def_1709, type, sK701: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ X1 > $o) > X0))).
% 20.58/6.94 thf(func_def_1710, type, sK702: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > X0 > X1))).
% 20.58/6.94 thf(func_def_1711, type, sK703: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.94 thf(func_def_1712, type, sK704: !>[X0: $tType]:(((X0 > X0) > nat > X0 > nat))).
% 20.58/6.94 thf(func_def_1713, type, sK705: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1 > $o) > filter @ X0 > X1))).
% 20.58/6.94 thf(func_def_1714, type, sK706: (nat > set @ nat > nat)).
% 20.58/6.94 thf(func_def_1715, type, sK707: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.94 thf(func_def_1716, type, sK708: ((int > $o) > int > int)).
% 20.58/6.94 thf(func_def_1717, type, sK709: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 20.58/6.94 thf(func_def_1718, type, sK710: !>[X0: $tType, X1: $tType]:((X1 > (X0 > set @ X1) > set @ X0 > X0))).
% 20.58/6.94 thf(func_def_1719, type, sK711: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.94 thf(func_def_1720, type, sK712: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.94 thf(func_def_1721, type, sK713: !>[X0: $tType]:(((nat > set @ X0) > set @ X0 > nat))).
% 20.58/6.94 thf(func_def_1722, type, sK714: !>[X0: $tType, X1: $tType]:((option @ product_prod @ X1 @ X0 > X0))).
% 20.58/6.94 thf(func_def_1723, type, sK715: !>[X0: $tType, X1: $tType]:((option @ product_prod @ X1 @ X0 > X1))).
% 20.58/6.94 thf(func_def_1724, type, sK716: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 20.58/6.94 thf(func_def_1725, type, sK717: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 20.58/6.94 thf(func_def_1726, type, sK718: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 20.58/6.94 thf(func_def_1727, type, sK719: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.94 thf(func_def_1728, type, sK720: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.94 thf(func_def_1729, type, sK721: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X1 > X0) > X1))).
% 20.58/6.94 thf(func_def_1730, type, sK722: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > (X0 > X1 > X2) > X1))).
% 20.58/6.94 thf(func_def_1731, type, sK723: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > (X0 > X1 > X2) > X0))).
% 20.58/6.94 thf(func_def_1732, type, sK724: !>[X0: $tType, X1: $tType]:((X0 > set @ product_prod @ X1 @ X0 > X1))).
% 20.58/6.94 thf(func_def_1733, type, sK725: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ X0))).
% 20.58/6.94 thf(func_def_1734, type, sK726: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 20.58/6.94 thf(func_def_1735, type, sK727: !>[X0: $tType]:((product_prod @ (code_natural > X0) @ product_prod @ code_natural @ code_natural > code_natural))).
% 20.58/6.94 thf(func_def_1736, type, sK728: !>[X0: $tType]:((product_prod @ (code_natural > X0) @ product_prod @ code_natural @ code_natural > code_natural > X0))).
% 20.58/6.94 thf(func_def_1737, type, sK729: !>[X0: $tType]:((product_prod @ (code_natural > X0) @ product_prod @ code_natural @ code_natural > code_natural))).
% 20.58/6.94 thf(func_def_1738, type, sK730: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ X0 @ X0))).
% 20.58/6.94 thf(func_def_1739, type, sK731: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ X1 > X0))).
% 20.58/6.94 thf(func_def_1740, type, sK732: !>[X0: $tType, X1: $tType]:((X0 > X1 > (X1 > X0 > $o) > set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > X1))).
% 20.58/6.94 thf(func_def_1741, type, sK733: !>[X0: $tType, X1: $tType]:((X0 > X1 > (X1 > X0 > $o) > set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > X0))).
% 20.58/6.94 thf(func_def_1742, type, sK734: !>[X0: $tType, X1: $tType]:((X0 > X1 > (X1 > X0 > $o) > set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > X0))).
% 20.58/6.94 thf(func_def_1743, type, sK735: !>[X0: $tType, X1: $tType]:((X0 > X1 > (X1 > X0 > $o) > set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > X1))).
% 20.58/6.94 thf(func_def_1744, type, sK736: !>[X0: $tType, X1: $tType]:((set @ X1 > X0 > (X1 > X0) > X1))).
% 20.58/6.94 thf(func_def_1745, type, sK737: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > (X1 > set @ X0) > set @ X1 > X1))).
% 20.58/6.94 thf(func_def_1746, type, sK738: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > X0))).
% 20.58/6.94 thf(func_def_1747, type, sK739: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > X0))).
% 20.58/6.94 thf(func_def_1748, type, sK740: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > X0))).
% 20.58/6.94 thf(func_def_1749, type, sK741: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X1))).
% 20.58/6.94 thf(func_def_1750, type, sK742: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0 > X1))).
% 20.58/6.94 thf(func_def_1751, type, sK743: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0))).
% 20.58/6.94 thf(func_def_1752, type, sK744: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0 > X1))).
% 20.58/6.94 thf(func_def_1753, type, sK745: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > list @ X0))).
% 20.58/6.94 thf(func_def_1754, type, sK746: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0 > X1))).
% 20.58/6.94 thf(func_def_1755, type, sK747: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0))).
% 20.58/6.94 thf(func_def_1756, type, sK748: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0))).
% 20.58/6.94 thf(func_def_1757, type, sK749: (product_prod @ heap_ext @ product_unit @ set @ nat > heap_ext @ product_unit)).
% 20.58/6.94 thf(func_def_1758, type, sK750: (product_prod @ heap_ext @ product_unit @ set @ nat > set @ nat)).
% 20.58/6.94 thf(func_def_1759, type, sK751: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > X0))).
% 20.58/6.94 thf(func_def_1760, type, sK752: ((int > $o) > int > int)).
% 20.58/6.94 thf(func_def_1761, type, sK753: (set @ int > int > (int > $o) > int)).
% 20.58/6.94 thf(func_def_1762, type, sK754: (set @ int > int > (int > $o) > int)).
% 20.58/6.94 thf(func_def_1763, type, sK755: ((int > $o) > int)).
% 20.58/6.94 thf(func_def_1764, type, sK756: (set @ int > (int > $o) > int > int)).
% 20.58/6.94 thf(func_def_1765, type, sK757: ((int > $o) > int > int)).
% 20.58/6.94 thf(func_def_1766, type, sK758: ((int > $o) > int > int)).
% 20.58/6.94 thf(func_def_1767, type, sK759: (int > (int > $o) > (int > $o) > int)).
% 20.58/6.94 thf(func_def_1768, type, sK760: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > X1))).
% 20.58/6.94 thf(func_def_1769, type, sK761: !>[X0: $tType]:((nat > set @ X0 > X0))).
% 20.58/6.94 thf(func_def_1770, type, sK762: !>[X0: $tType]:((nat > set @ X0 > set @ X0))).
% 20.58/6.94 thf(func_def_1771, type, sK763: !>[X0: $tType, X1: $tType]:((X1 > set @ product_prod @ X0 @ X1 > set @ X0 > X0))).
% 20.58/6.94 thf(func_def_1772, type, sK764: !>[X0: $tType]:((X0 > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 20.58/6.94 thf(func_def_1773, type, sK765: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 20.58/6.94 thf(func_def_1774, type, sK766: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 20.58/6.94 thf(func_def_1775, type, sK767: !>[X0: $tType]:((set @ X0 > nat))).
% 20.58/6.94 thf(func_def_1776, type, sK768: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 20.58/6.94 thf(func_def_1777, type, sK769: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > nat > X0 > X0))).
% 20.58/6.94 thf(func_def_1778, type, sK770: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.94 thf(func_def_1779, type, sK771: ((nat > int) > nat > int > nat > nat)).
% 20.58/6.94 thf(func_def_1780, type, sK772: ((nat > int) > nat > nat > nat)).
% 20.58/6.94 thf(func_def_1781, type, sK773: !>[X0: $tType]:((X0 > set @ X0 > (X0 > nat) > X0))).
% 20.58/6.94 thf(func_def_1782, type, sK774: !>[X0: $tType]:((set @ X0 > (X0 > nat) > X0))).
% 20.58/6.94 thf(func_def_1783, type, sK775: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ X0 @ X0 > X0))).
% 20.58/6.94 thf(func_def_1784, type, sK776: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ X0 @ X0 > X0 > X1))).
% 20.58/6.94 thf(func_def_1785, type, sK777: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ X0 @ X0 > X0))).
% 20.58/6.94 thf(func_def_1786, type, sK778: (assn > product_prod @ heap_ext @ product_unit @ set @ nat)).
% 20.58/6.94 thf(func_def_1787, type, sK779: (assn > product_prod @ heap_ext @ product_unit @ set @ nat)).
% 20.58/6.94 thf(func_def_1788, type, sK780: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 20.58/6.94 thf(func_def_1789, type, sK781: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 20.58/6.94 thf(func_def_1790, type, sK782: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.94 thf(func_def_1791, type, sK783: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > (X0 > set @ X1) > X0))).
% 20.58/6.94 thf(func_def_1792, type, sK784: !>[X0: $tType, X1: $tType]:((filter @ X1 > (X1 > X0 > $o) > X1 > X0))).
% 20.58/6.94 thf(func_def_1793, type, sK785: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > X1 > X0))).
% 20.58/6.94 thf(func_def_1794, type, sK786: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1 > X0))).
% 20.58/6.94 thf(func_def_1795, type, sK787: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 20.58/6.94 thf(func_def_1796, type, sK788: (int > set @ int > int > int)).
% 20.58/6.94 thf(func_def_1797, type, sK789: (int > set @ int > int > int)).
% 20.58/6.94 thf(func_def_1798, type, sK790: !>[X0: $tType]:(((X0 > nat) > (X0 > nat) > set @ X0 > X0))).
% 20.58/6.94 thf(func_def_1799, type, sK791: !>[X0: $tType]:(((X0 > $o) > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 20.58/6.94 thf(func_def_1800, type, sK792: !>[X0: $tType]:(((X0 > $o) > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 20.58/6.94 thf(func_def_1801, type, sK793: !>[X0: $tType]:(((X0 > $o) > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 20.58/6.94 thf(func_def_1802, type, sK794: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ X0 > X1 > (X2 > X0 > X1 > $o) > X2))).
% 20.58/6.94 thf(func_def_1803, type, sK795: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ X0 > X1 > (X2 > X0 > X1 > $o) > X0))).
% 20.58/6.94 thf(func_def_1804, type, sK796: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > set @ X1) > set @ X0 > set @ X2 > X0))).
% 20.58/6.94 thf(func_def_1805, type, sK797: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > X1))).
% 20.58/6.94 thf(func_def_1806, type, sK798: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X1 > (X1 > X0) > X1))).
% 20.58/6.94 thf(func_def_1807, type, sK799: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > set @ X0 > X1))).
% 20.58/6.94 thf(func_def_1808, type, sK800: !>[X0: $tType]:((list @ X0 > X0))).
% 20.58/6.94 thf(func_def_1809, type, sK801: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1 > $o) > X0))).
% 20.58/6.94 thf(func_def_1810, type, sK802: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X2 > (X1 > X0) > (X2 > X1) > X2))).
% 20.58/6.94 thf(func_def_1811, type, sK803: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X1))).
% 20.58/6.94 thf(func_def_1812, type, sK804: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > X1))).
% 20.58/6.94 thf(func_def_1813, type, sK805: !>[X0: $tType]:((X0 > X0 > set @ product_prod @ X0 @ X0 > nat > X0))).
% 20.58/6.94 thf(func_def_1814, type, sK806: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > X0 > X1))).
% 20.58/6.94 thf(func_def_1815, type, sK807: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X0 > X0))).
% 20.58/6.94 thf(func_def_1816, type, sK808: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X1 > X0))).
% 20.58/6.94 thf(func_def_1817, type, sK809: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > set @ X1 > X1))).
% 20.58/6.94 thf(func_def_1818, type, sK810: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 20.58/6.94 thf(func_def_1819, type, sK811: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > X1 > X0))).
% 20.58/6.94 thf(func_def_1820, type, sK812: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > list @ X0))).
% 20.58/6.94 thf(func_def_1821, type, sK813: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > list @ X1))).
% 20.58/6.94 thf(func_def_1822, type, sK814: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > X1 > X0))).
% 20.58/6.94 thf(func_def_1823, type, sK815: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > X1))).
% 20.58/6.94 thf(func_def_1824, type, sK816: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > list @ X0))).
% 20.58/6.94 thf(func_def_1825, type, sK817: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > X0))).
% 20.58/6.94 thf(func_def_1826, type, sK818: !>[X0: $tType]:((set @ X0 > (set @ X0 > $o) > set @ X0))).
% 20.58/6.94 thf(func_def_1827, type, sK819: !>[X0: $tType]:(((nat > X0) > nat))).
% 20.58/6.94 thf(func_def_1828, type, sK820: !>[X0: $tType]:(((nat > X0) > nat))).
% 20.58/6.94 thf(func_def_1829, type, sK821: (int > int > set @ int > int)).
% 20.58/6.94 thf(func_def_1830, type, sK822: (int > int > set @ int > int)).
% 20.58/6.94 thf(func_def_1831, type, sK823: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (set @ X0 > $o) > X0))).
% 20.58/6.94 thf(func_def_1832, type, sK824: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (set @ X0 > $o) > set @ X0))).
% 20.58/6.94 thf(func_def_1833, type, sK825: !>[X0: $tType]:(((nat > X0) > set @ product_prod @ X0 @ X0 > nat > nat))).
% 20.58/6.94 thf(func_def_1834, type, sK826: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > nat > nat > X0))).
% 20.58/6.94 thf(func_def_1835, type, sK827: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > product_prod @ X2 @ X1 > (X2 > X1 > set @ X0) > X1))).
% 20.58/6.94 thf(func_def_1836, type, sK828: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > product_prod @ X2 @ X1 > (X2 > X1 > set @ X0) > X2))).
% 20.58/6.94 thf(func_def_1837, type, sK829: !>[X0: $tType]:((set @ X0 > X0))).
% 20.58/6.94 thf(func_def_1838, type, sK830: !>[X0: $tType]:(((nat > set @ X0) > nat > (nat > set @ X0) > nat))).
% 20.58/6.94 thf(func_def_1839, type, sK831: !>[X0: $tType]:((X0 > X0 > nat > set @ product_prod @ X0 @ X0 > nat))).
% 20.58/6.94 thf(func_def_1840, type, sK832: !>[X0: $tType]:((X0 > X0 > nat > set @ product_prod @ X0 @ X0 > X0))).
% 20.58/6.94 thf(func_def_1841, type, sK833: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X0))).
% 20.58/6.94 thf(func_def_1842, type, sK834: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > filter @ X0 > set @ X1 > X1))).
% 20.58/6.94 thf(func_def_1843, type, sK835: (int > set @ int > int > int)).
% 20.58/6.94 thf(func_def_1844, type, sK836: (int > set @ int > int > int)).
% 20.58/6.94 thf(func_def_1845, type, sK837: ((int > $o) > set @ int > int > int)).
% 20.58/6.94 thf(func_def_1846, type, sK838: (set @ int > (int > $o) > int > int)).
% 20.58/6.94 thf(func_def_1847, type, sK839: !>[X0: $tType]:((set @ filter @ X0 > set @ filter @ X0))).
% 20.58/6.94 thf(func_def_1848, type, sK840: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.58/6.94 thf(func_def_1849, type, sK841: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.58/6.94 thf(func_def_1850, type, sK842: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 20.58/6.94 thf(func_def_1851, type, sK843: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 20.58/6.94 thf(func_def_1852, type, sK844: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 20.58/6.94 thf(func_def_1853, type, sK845: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 20.58/6.94 thf(func_def_1854, type, sK846: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 20.58/6.94 thf(func_def_1855, type, sK847: !>[X0: $tType]:((X0 > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 20.58/6.94 thf(func_def_1856, type, sK848: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 20.58/6.94 thf(func_def_1857, type, sK849: (assn > (product_prod @ heap_ext @ product_unit @ set @ nat > $o) > product_prod @ heap_ext @ product_unit @ set @ nat)).
% 20.58/6.94 thf(func_def_1858, type, sK850: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > (X1 > X0 > $o) > X1))).
% 20.58/6.94 thf(func_def_1859, type, sK851: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > (X1 > X0 > $o) > X0))).
% 20.58/6.94 thf(func_def_1860, type, sK852: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > $o) > (X1 > X0) > X1))).
% 20.58/6.94 thf(func_def_1861, type, sK853: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.58/6.94 thf(f8623,conjecture,(
% 20.58/6.94 ((x != y) & (((abs_assn @ (^[X0 : product_prod @ heap_ext @ product_unit @ set @ nat] : ((rep_assn @ x @ X0) & (rep_assn @ y @ X0))))) = x) = (((abs_assn @ (^[X0 : product_prod @ heap_ext @ product_unit @ set @ nat] : ((rep_assn @ x @ X0) & (rep_assn @ y @ X0))))) != y) & (((abs_assn @ (^[X0 : product_prod @ heap_ext @ product_unit @ set @ nat] : ((rep_assn @ x @ X0) & (rep_assn @ y @ X0))))) = x))),
% 20.58/6.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 20.58/6.94 thf(f8624,negated_conjecture,(
% 20.58/6.94 ~ ((x != y) & (((abs_assn @ (^[X0 : product_prod @ heap_ext @ product_unit @ set @ nat] : ((rep_assn @ x @ X0) & (rep_assn @ y @ X0))))) = x) = (((abs_assn @ (^[X0 : product_prod @ heap_ext @ product_unit @ set @ nat] : ((rep_assn @ x @ X0) & (rep_assn @ y @ X0))))) != y) & (((abs_assn @ (^[X0 : product_prod @ heap_ext @ product_unit @ set @ nat] : ((rep_assn @ x @ X0) & (rep_assn @ y @ X0))))) = x))),
% 20.58/6.94 inference(negated_conjecture,[status(cth)],[f8623])).
% 20.58/6.94 thf(f9501,plain,(
% 20.58/6.94 ~ ((x != y) & (((abs_assn @ (^[X0 : product_prod @ heap_ext @ product_unit @ set @ nat] : ((rep_assn @ x @ X0) & (rep_assn @ y @ X0))))) = x) = (((abs_assn @ (^[X1 : product_prod @ heap_ext @ product_unit @ set @ nat] : ((rep_assn @ x @ X1) & (rep_assn @ y @ X1))))) != y) & (((abs_assn @ (^[X2 : product_prod @ heap_ext @ product_unit @ set @ nat] : ((rep_assn @ x @ X2) & (rep_assn @ y @ X2))))) = x))),
% 20.58/6.94 inference(rectify,[],[f8624])).
% 20.58/6.94 thf(f9502,plain,(
% 20.58/6.94 ~(((x != y) & (x = ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0))))))) <=> ((x = ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0)))))) & (y != ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0))))))))),
% 20.58/6.94 inference(fool_elimination,[],[f9501])).
% 20.58/6.94 thf(f25658,plain,(
% 20.58/6.94 ((x != y) & (x = ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0))))))) <~> ((x = ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0)))))) & (y != ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0)))))))),
% 20.58/6.94 inference(ennf_transformation,[],[f9502])).
% 20.58/6.94 thf(f27746,plain,(
% 20.58/6.94 (((x != ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0)))))) | (y = ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0))))))) | ((x = y) | (x != ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0)))))))) & (((x = ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0)))))) & (y != ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0))))))) | ((x != y) & (x = ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0))))))))),
% 20.58/6.94 inference(nnf_transformation,[],[f25658])).
% 20.58/6.94 thf(f27747,plain,(
% 20.58/6.94 ((x != ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0)))))) | (y = ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0)))))) | (x = y) | (x != ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0))))))) & (((x = ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0)))))) & (y != ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0))))))) | ((x != y) & (x = ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0))))))))),
% 20.58/6.94 inference(flattening,[],[f27746])).
% 20.58/6.94 thf(f30140,plain,(
% 20.58/6.94 (x != y) | (y != ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0))))))),
% 20.58/6.94 inference(cnf_transformation,[],[f27747])).
% 20.58/6.94 thf(f30141,plain,(
% 20.58/6.94 (x = ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0)))))) | (x = ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0))))))),
% 20.58/6.94 inference(cnf_transformation,[],[f27747])).
% 20.58/6.94 thf(f30143,plain,(
% 20.58/6.94 (x = y) | (x != ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0)))))) | (x != ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0)))))) | (y = ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0))))))),
% 20.58/6.94 inference(cnf_transformation,[],[f27747])).
% 20.58/6.94 thf(f33545,plain,(
% 20.58/6.94 (x != ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0)))))) | (x = y) | (y = ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0))))))),
% 20.58/6.94 inference(duplicate_literal_removal,[],[f30143])).
% 20.58/6.94 thf(f33596,plain,(
% 20.58/6.94 (x = ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0))))))),
% 20.58/6.94 inference(duplicate_literal_removal,[],[f30141])).
% 20.58/6.94 thf(f33751,definition,(
% 20.58/6.94 spl854_27 <=> (x = y)),
% 20.58/6.94 introduced(definition,[new_symbols(definition,[spl854_27])],[avatar_definition])).
% 20.58/6.94 thf(f33755,definition,(
% 20.58/6.94 spl854_28 <=> (y = ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0))))))),
% 20.58/6.94 introduced(definition,[new_symbols(definition,[spl854_28])],[avatar_definition])).
% 20.58/6.94 thf(f33759,definition,(
% 20.58/6.94 spl854_29 <=> (x = ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0))))))),
% 20.58/6.94 introduced(definition,[new_symbols(definition,[spl854_29])],[avatar_definition])).
% 20.58/6.94 thf(f33762,plain,(
% 20.58/6.94 spl854_27 | spl854_28 | ~spl854_29),
% 20.58/6.94 inference(avatar_split_clause,[],[f33545,f33759,f33755,f33751])).
% 20.58/6.94 thf(f33956,plain,(
% 20.58/6.94 ~spl854_28 | ~spl854_27),
% 20.58/6.94 inference(avatar_split_clause,[],[f30140,f33751,f33755])).
% 20.58/6.94 thf(f34089,plain,(
% 20.58/6.94 spl854_29),
% 20.58/6.94 inference(avatar_split_clause,[],[f33596,f33759])).
% 20.58/6.94 thf(f34225,definition,(
% 20.58/6.94 (x != ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0)))))) | (x != y) | (y = ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0))))))),
% 20.58/6.94 introduced(theory,[theory_tautology_sat_conflict])).
% 20.58/6.94 thf(f34226,definition,(
% 20.58/6.94 (x != ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0)))))) | (y != ((abs_assn @ (^[Y0 : product_prod @ heap_ext @ product_unit @ set @ nat]: ((rep_assn @ y @ Y0) & (rep_assn @ x @ Y0)))))) | (x = y)),
% 20.58/6.94 introduced(theory,[theory_tautology_sat_conflict])).
% 20.58/6.94 cnf(s27, plain, spl854_27 | spl854_28 | ~spl854_29, inference(sat_conversion,[],[f33762])).
% 20.58/6.94 cnf(s67, plain, ~spl854_27 | ~spl854_28, inference(sat_conversion,[],[f33956])).
% 20.58/6.94 cnf(s99, plain, spl854_29, inference(sat_conversion,[],[f34089])).
% 20.58/6.94 cnf(s129, plain, ~spl854_27 | spl854_28 | ~spl854_29, inference(sat_conversion,[],[f34225])).
% 20.58/6.94 cnf(s130, plain, spl854_27 | ~spl854_28 | ~spl854_29, inference(sat_conversion,[],[f34226])).
% 20.58/6.94 cnf(s131, plain, spl854_27 | spl854_28, inference(rat,[],[s27,s99])).
% 20.58/6.94 cnf(s132, plain, spl854_27, inference(rat,[],[s131,s130,s99])).
% 20.58/6.94 cnf(s133, plain, spl854_28, inference(rat,[],[s129,s99,s132])).
% 20.58/6.94 cnf(s134, plain, $false, inference(rat,[],[s67,s133,s132])).
% 20.58/6.94 thf(f34227,plain,(
% 20.58/6.94 $false),
% 20.58/6.94 inference(avatar_sat_refutation,[],[s134])).
% 20.58/6.94 % SZS output end Proof for theBenchmark
% 20.58/6.94 % (2606100)------------------------------
% 20.58/6.94 % (2606100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.58/6.94 % (2606100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.58/6.94 % (2606100)CaDiCaL version: 2.1.3
% 20.58/6.94 % (2606100)Termination reason: Refutation
% 20.58/6.94 % (2606100)Time elapsed: 1.508 s
% 20.58/6.94 % (2606100)Peak memory usage: 55 MB
% 20.58/6.94 % (2606100)Instructions burned: 2912 (million)
% 20.58/6.94 % (2605961)Success in time 3.15 s
% 20.58/6.94 % Vampire exiting
%------------------------------------------------------------------------------