%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT171^3 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 08:21:49 AM UTC 2026
% Result : Theorem 2.20s 0.83s
% Output : Refutation 2.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT171^3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n011.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 13:34:15 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running higher-order theorem proving
% 0.30/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.65/0.63 % (92602)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.65/0.63 % (92611)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1122511225:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.65/0.63 % (92613)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.65/0.63 % (92613)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
% 0.65/0.63 % (92607)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2480736718:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.65/0.63 % (92608)lrs+10_16_si=on:nwc=1.5:random_seed=3101415284:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.65/0.63 % (92611)Instruction limit reached!
% 0.65/0.63 % (92611)------------------------------
% 0.65/0.63 % (92611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.63 % (92611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.63 % (92611)CaDiCaL version: 2.1.3
% 0.65/0.63 % (92611)Termination reason: Instruction limit
% 0.65/0.63 % (92611)Termination phase: shuffling
% 0.65/0.63 % (92611)Time elapsed: 0.007 s
% 0.65/0.63 % (92611)Peak memory usage: 12 MB
% 0.65/0.63 % (92611)Instructions burned: 27 (million)
% 0.65/0.63 % (92612)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=816836000:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.65/0.63 % (92610)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=2240773863: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_2999 on theBenchmark for (2999ds/634Mi)
% 0.65/0.63 % (92613)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=2395079743:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.65/0.63 % (92609)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=221715013:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.65/0.63 % (92609)Instruction limit reached!
% 0.65/0.63 % (92609)------------------------------
% 0.65/0.63 % (92609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.63 % (92609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.63 % (92609)CaDiCaL version: 2.1.3
% 0.65/0.63 % (92609)Termination reason: Instruction limit
% 0.65/0.63 % (92609)Termination phase: shuffling
% 0.65/0.63 % (92609)Time elapsed: 0.004 s
% 0.65/0.63 % (92609)Peak memory usage: 11 MB
% 0.65/0.63 % (92609)Instructions burned: 6 (million)
% 0.65/0.63 % (92608)Instruction limit reached!
% 0.65/0.63 % (92608)------------------------------
% 0.65/0.63 % (92608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.63 % (92608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.63 % (92608)CaDiCaL version: 2.1.3
% 0.65/0.63 % (92608)Termination reason: Instruction limit
% 0.65/0.63 % (92608)Termination phase: shuffling
% 0.65/0.63 % (92608)Time elapsed: 0.010 s
% 0.65/0.63 % (92608)Peak memory usage: 12 MB
% 0.65/0.63 % (92608)Instructions burned: 19 (million)
% 0.65/0.63 % (92621)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2528413608:i=2:hud=10:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.65/0.63 % (92621)Instruction limit reached!
% 0.65/0.63 % (92621)------------------------------
% 0.65/0.63 % (92621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.63 % (92621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.63 % (92621)CaDiCaL version: 2.1.3
% 0.65/0.63 % (92621)Termination reason: Instruction limit
% 0.65/0.63 % (92621)Termination phase: shuffling
% 0.65/0.63 % (92621)Time elapsed: 0.001 s
% 0.65/0.63 % (92621)Peak memory usage: 11 MB
% 0.65/0.63 % (92621)Instructions burned: 2 (million)
% 0.65/0.63 % (92623)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.65/0.63 % (92625)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2646434995:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 1.07/0.66 % (92622)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=186440743:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2998 on theBenchmark for (2998ds/5Mi)
% 1.07/0.66 % (92623)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3763147630:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.07/0.66 % (92625)Instruction limit reached!
% 1.07/0.66 % (92625)------------------------------
% 1.07/0.66 % (92625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.66 % (92625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.66 % (92625)CaDiCaL version: 2.1.3
% 1.07/0.66 % (92625)Termination reason: Instruction limit
% 1.07/0.66 % (92625)Termination phase: shuffling
% 1.07/0.66 % (92625)Time elapsed: 0.004 s
% 1.07/0.66 % (92625)Peak memory usage: 12 MB
% 1.07/0.66 % (92625)Instructions burned: 15 (million)
% 1.07/0.66 % (92622)Instruction limit reached!
% 1.07/0.66 % (92622)------------------------------
% 1.07/0.66 % (92622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.66 % (92622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.66 % (92622)CaDiCaL version: 2.1.3
% 1.07/0.66 % (92622)Termination reason: Instruction limit
% 1.07/0.66 % (92622)Termination phase: shuffling
% 1.07/0.66 % (92622)Time elapsed: 0.004 s
% 1.07/0.66 % (92622)Peak memory usage: 12 MB
% 1.07/0.66 % (92622)Instructions burned: 7 (million)
% 1.07/0.66 % (92612)Instruction limit reached!
% 1.07/0.66 % (92612)------------------------------
% 1.07/0.66 % (92612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.66 % (92612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.66 % (92612)CaDiCaL version: 2.1.3
% 1.07/0.66 % (92612)Termination reason: Instruction limit
% 1.07/0.66 % (92612)Termination phase: shuffling
% 1.07/0.66 % (92612)Time elapsed: 0.033 s
% 1.07/0.66 % (92612)Peak memory usage: 12 MB
% 1.07/0.66 % (92612)Instructions burned: 76 (million)
% 1.07/0.66 % (92623)Instruction limit reached!
% 1.07/0.66 % (92623)------------------------------
% 1.07/0.66 % (92623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.66 % (92623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.66 % (92623)CaDiCaL version: 2.1.3
% 1.07/0.66 % (92623)Termination reason: Instruction limit
% 1.07/0.66 % (92623)Termination phase: shuffling
% 1.07/0.66 % (92623)Time elapsed: 0.005 s
% 1.07/0.66 % (92623)Peak memory usage: 11 MB
% 1.07/0.66 % (92623)Instructions burned: 9 (million)
% 1.07/0.66 % (92607)Instruction limit reached!
% 1.07/0.66 % (92607)------------------------------
% 1.07/0.66 % (92607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.66 % (92607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.66 % (92607)CaDiCaL version: 2.1.3
% 1.07/0.66 % (92607)Termination reason: Instruction limit
% 1.07/0.66 % (92607)Termination phase: shuffling
% 1.07/0.66 % (92607)Time elapsed: 0.038 s
% 1.07/0.66 % (92607)Peak memory usage: 12 MB
% 1.07/0.66 % (92607)Instructions burned: 87 (million)
% 1.07/0.66 % (92629)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
% 1.07/0.66 % (92629)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.07/0.66 % (92629)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2849034309:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.07/0.66 % (92629)Instruction limit reached!
% 1.07/0.66 % (92629)------------------------------
% 1.07/0.66 % (92629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.66 % (92629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.66 % (92629)CaDiCaL version: 2.1.3
% 1.07/0.66 % (92629)Termination reason: Instruction limit
% 1.07/0.66 % (92629)Termination phase: shuffling
% 1.07/0.66 % (92629)Time elapsed: 0.007 s
% 1.07/0.66 % (92629)Peak memory usage: 12 MB
% 1.07/0.66 % (92629)Instructions burned: 29 (million)
% 1.07/0.66 % (92630)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=1386389921:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.07/0.69 % (92632)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.07/0.69 % (92631)lrs+10_1_si=on:cs=on:random_seed=962205478:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.07/0.69 % (92632)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=1750207930:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.07/0.69 % (92632)Instruction limit reached!
% 1.07/0.69 % (92632)------------------------------
% 1.07/0.69 % (92632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.69 % (92632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.69 % (92632)CaDiCaL version: 2.1.3
% 1.07/0.69 % (92632)Termination reason: Instruction limit
% 1.07/0.69 % (92632)Termination phase: shuffling
% 1.07/0.69 % (92632)Time elapsed: 0.002 s
% 1.07/0.69 % (92632)Peak memory usage: 11 MB
% 1.07/0.69 % (92632)Instructions burned: 2 (million)
% 1.07/0.69 % (92633)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=996836565:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.07/0.69 % (92631)Instruction limit reached!
% 1.07/0.69 % (92631)------------------------------
% 1.07/0.69 % (92631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.69 % (92631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.69 % (92631)CaDiCaL version: 2.1.3
% 1.07/0.69 % (92631)Termination reason: Instruction limit
% 1.07/0.69 % (92631)Termination phase: shuffling
% 1.07/0.69 % (92631)Time elapsed: 0.005 s
% 1.07/0.69 % (92631)Peak memory usage: 11 MB
% 1.07/0.69 % (92631)Instructions burned: 10 (million)
% 1.07/0.69 % (92635)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=944340746:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.07/0.69 % (92613)Instruction limit reached!
% 1.07/0.69 % (92613)------------------------------
% 1.07/0.69 % (92613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.69 % (92613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.69 % (92613)CaDiCaL version: 2.1.3
% 1.07/0.69 % (92613)Termination reason: Instruction limit
% 1.07/0.69 % (92613)Termination phase: Property scanning
% 1.07/0.69 % (92613)Time elapsed: 0.067 s
% 1.07/0.69 % (92613)Peak memory usage: 13 MB
% 1.07/0.69 % (92613)Instructions burned: 157 (million)
% 1.07/0.69 % (92633)Instruction limit reached!
% 1.07/0.69 % (92633)------------------------------
% 1.07/0.69 % (92633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.69 % (92633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.69 % (92633)CaDiCaL version: 2.1.3
% 1.07/0.69 % (92633)Termination reason: Instruction limit
% 1.07/0.69 % (92633)Termination phase: shuffling
% 1.07/0.69 % (92633)Time elapsed: 0.017 s
% 1.07/0.69 % (92633)Peak memory usage: 12 MB
% 1.07/0.69 % (92633)Instructions burned: 39 (million)
% 1.07/0.69 % (92640)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1078726486:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.07/0.69 % (92641)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1348170265:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.07/0.69 % (92641)Instruction limit reached!
% 1.07/0.69 % (92641)------------------------------
% 1.07/0.69 % (92641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.69 % (92641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.69 % (92641)CaDiCaL version: 2.1.3
% 1.07/0.69 % (92641)Termination reason: Instruction limit
% 1.07/0.69 % (92641)Termination phase: shuffling
% 1.07/0.69 % (92641)Time elapsed: 0.007 s
% 1.07/0.69 % (92641)Peak memory usage: 12 MB
% 1.07/0.69 % (92641)Instructions burned: 14 (million)
% 1.07/0.69 % (92643)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2354419164:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.07/0.69 % (92640)Instruction limit reached!
% 1.07/0.69 % (92640)------------------------------
% 1.07/0.69 % (92640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.74 % (92640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.74 % (92640)CaDiCaL version: 2.1.3
% 1.53/0.74 % (92640)Termination reason: Instruction limit
% 1.53/0.74 % (92640)Termination phase: shuffling
% 1.53/0.74 % (92640)Time elapsed: 0.012 s
% 1.53/0.74 % (92640)Peak memory usage: 12 MB
% 1.53/0.74 % (92640)Instructions burned: 25 (million)
% 1.53/0.74 % (92630)Instruction limit reached!
% 1.53/0.74 % (92630)------------------------------
% 1.53/0.74 % (92630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.74 % (92630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.74 % (92630)CaDiCaL version: 2.1.3
% 1.53/0.74 % (92630)Termination reason: Instruction limit
% 1.53/0.74 % (92630)Termination phase: shuffling
% 1.53/0.74 % (92630)Time elapsed: 0.039 s
% 1.53/0.74 % (92630)Peak memory usage: 13 MB
% 1.53/0.74 % (92630)Instructions burned: 87 (million)
% 1.53/0.74 % (92644)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=719484784:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.53/0.74 % (92644)Instruction limit reached!
% 1.53/0.74 % (92644)------------------------------
% 1.53/0.74 % (92644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.74 % (92644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.74 % (92644)CaDiCaL version: 2.1.3
% 1.53/0.74 % (92644)Termination reason: Instruction limit
% 1.53/0.74 % (92644)Termination phase: shuffling
% 1.53/0.74 % (92644)Time elapsed: 0.007 s
% 1.53/0.74 % (92644)Peak memory usage: 11 MB
% 1.53/0.74 % (92644)Instructions burned: 14 (million)
% 1.53/0.74 % (92647)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3593936627:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.53/0.74 % (92647)Instruction limit reached!
% 1.53/0.74 % (92647)------------------------------
% 1.53/0.74 % (92647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.74 % (92647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.74 % (92647)CaDiCaL version: 2.1.3
% 1.53/0.74 % (92647)Termination reason: Instruction limit
% 1.53/0.74 % (92647)Termination phase: shuffling
% 1.53/0.74 % (92647)Time elapsed: 0.002 s
% 1.53/0.74 % (92647)Peak memory usage: 11 MB
% 1.53/0.74 % (92647)Instructions burned: 2 (million)
% 1.53/0.74 % (92649)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3711805927:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.53/0.74 % (92650)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1402472167:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.53/0.74 % (92635)Refutation not found, incomplete strategy
% 1.53/0.74 % (92635)------------------------------
% 1.53/0.74 % (92635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.74 % (92635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.74 % (92635)CaDiCaL version: 2.1.3
% 1.53/0.74 % (92635)Termination reason: Refutation not found, incomplete strategy
% 1.53/0.74 % (92635)Time elapsed: 0.054 s
% 1.53/0.74 % (92635)Peak memory usage: 16 MB
% 1.53/0.74 % (92635)Instructions burned: 233 (million)
% 1.53/0.74 % (92635)------------------------------
% 1.53/0.74 % (92635)------------------------------
% 1.53/0.74 % (92650)Instruction limit reached!
% 1.53/0.74 % (92650)------------------------------
% 1.53/0.74 % (92650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.74 % (92650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.74 % (92650)CaDiCaL version: 2.1.3
% 1.53/0.74 % (92650)Termination reason: Instruction limit
% 1.53/0.74 % (92650)Termination phase: shuffling
% 1.53/0.74 % (92650)Time elapsed: 0.011 s
% 1.53/0.74 % (92650)Peak memory usage: 12 MB
% 1.53/0.74 % (92650)Instructions burned: 25 (million)
% 1.53/0.74 % (92652)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1956073554:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 1.53/0.74 % (92649)Instruction limit reached!
% 1.53/0.74 % (92649)------------------------------
% 1.53/0.74 % (92649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.74 % (92649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.81 % (92649)CaDiCaL version: 2.1.3
% 2.20/0.81 % (92649)Termination reason: Instruction limit
% 2.20/0.81 % (92649)Termination phase: shuffling
% 2.20/0.81 % (92649)Time elapsed: 0.013 s
% 2.20/0.81 % (92649)Peak memory usage: 12 MB
% 2.20/0.81 % (92649)Instructions burned: 27 (million)
% 2.20/0.81 % (92654)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
% 2.20/0.81 % (92654)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.20/0.81 % (92657)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.20/0.81 % (92654)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=3880923243:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.20/0.81 % (92657)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=243889650:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.20/0.81 % (92657)Instruction limit reached!
% 2.20/0.81 % (92657)------------------------------
% 2.20/0.81 % (92657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.81 % (92657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.81 % (92657)CaDiCaL version: 2.1.3
% 2.20/0.81 % (92657)Termination reason: Instruction limit
% 2.20/0.81 % (92657)Termination phase: shuffling
% 2.20/0.81 % (92657)Time elapsed: 0.003 s
% 2.20/0.81 % (92657)Peak memory usage: 11 MB
% 2.20/0.81 % (92657)Instructions burned: 11 (million)
% 2.20/0.81 % (92654)Instruction limit reached!
% 2.20/0.81 % (92654)------------------------------
% 2.20/0.81 % (92654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.81 % (92654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.81 % (92654)CaDiCaL version: 2.1.3
% 2.20/0.81 % (92654)Termination reason: Instruction limit
% 2.20/0.81 % (92654)Termination phase: shuffling
% 2.20/0.81 % (92654)Time elapsed: 0.007 s
% 2.20/0.81 % (92654)Peak memory usage: 11 MB
% 2.20/0.81 % (92654)Instructions burned: 14 (million)
% 2.20/0.81 % (92659)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=1459153959:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.20/0.81 % (92660)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=397743490:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.20/0.81 % (92663)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=411455108:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.20/0.81 % (92660)Instruction limit reached!
% 2.20/0.81 % (92660)------------------------------
% 2.20/0.81 % (92660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.81 % (92660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.81 % (92660)CaDiCaL version: 2.1.3
% 2.20/0.81 % (92660)Termination reason: Instruction limit
% 2.20/0.81 % (92660)Termination phase: shuffling
% 2.20/0.81 % (92660)Time elapsed: 0.004 s
% 2.20/0.81 % (92660)Peak memory usage: 11 MB
% 2.20/0.81 % (92660)Instructions burned: 7 (million)
% 2.20/0.81 % (92663)Instruction limit reached!
% 2.20/0.81 % (92663)------------------------------
% 2.20/0.81 % (92663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.81 % (92663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.81 % (92663)CaDiCaL version: 2.1.3
% 2.20/0.81 % (92663)Termination reason: Instruction limit
% 2.20/0.81 % (92663)Termination phase: shuffling
% 2.20/0.81 % (92663)Time elapsed: 0.006 s
% 2.20/0.81 % (92663)Peak memory usage: 12 MB
% 2.20/0.81 % (92663)Instructions burned: 25 (million)
% 2.20/0.81 % (92652)Instruction limit reached!
% 2.20/0.81 % (92652)------------------------------
% 2.20/0.81 % (92652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.81 % (92652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.81 % (92652)CaDiCaL version: 2.1.3
% 2.20/0.81 % (92652)Termination reason: Instruction limit
% 2.20/0.83 % (92652)Termination phase: shuffling
% 2.20/0.83 % (92652)Time elapsed: 0.027 s
% 2.20/0.83 % (92652)Peak memory usage: 12 MB
% 2.20/0.83 % (92652)Instructions burned: 62 (million)
% 2.20/0.83 % (92664)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1079148663:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.20/0.83 % (92659)Instruction limit reached!
% 2.20/0.83 % (92659)------------------------------
% 2.20/0.83 % (92659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.83 % (92659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.83 % (92659)CaDiCaL version: 2.1.3
% 2.20/0.83 % (92659)Termination reason: Instruction limit
% 2.20/0.83 % (92659)Termination phase: shuffling
% 2.20/0.83 % (92659)Time elapsed: 0.016 s
% 2.20/0.83 % (92659)Peak memory usage: 12 MB
% 2.20/0.83 % (92659)Instructions burned: 34 (million)
% 2.20/0.83 % (92669)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=217482833:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.20/0.83 % (92664)Instruction limit reached!
% 2.20/0.83 % (92664)------------------------------
% 2.20/0.83 % (92664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.83 % (92664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.83 % (92664)CaDiCaL version: 2.1.3
% 2.20/0.83 % (92664)Termination reason: Instruction limit
% 2.20/0.83 % (92664)Termination phase: shuffling
% 2.20/0.83 % (92664)Time elapsed: 0.010 s
% 2.20/0.83 % (92664)Peak memory usage: 12 MB
% 2.20/0.83 % (92664)Instructions burned: 21 (million)
% 2.20/0.83 % (92668)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3299331662:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.20/0.83 % (92670)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4028586864:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.20/0.83 % (92672)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=710911321:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.20/0.83 % (92675)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.20/0.83 % (92675)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3209814903:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.20/0.83 % (92675)Instruction limit reached!
% 2.20/0.83 % (92675)------------------------------
% 2.20/0.83 % (92675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.83 % (92675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.83 % (92675)CaDiCaL version: 2.1.3
% 2.20/0.83 % (92675)Termination reason: Instruction limit
% 2.20/0.83 % (92675)Termination phase: shuffling
% 2.20/0.83 % (92675)Time elapsed: 0.005 s
% 2.20/0.83 % (92675)Peak memory usage: 11 MB
% 2.20/0.83 % (92675)Instructions burned: 9 (million)
% 2.20/0.83 % (92669)Instruction limit reached!
% 2.20/0.83 % (92669)------------------------------
% 2.20/0.83 % (92669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.83 % (92669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.83 % (92669)CaDiCaL version: 2.1.3
% 2.20/0.83 % (92669)Termination reason: Instruction limit
% 2.20/0.83 % (92669)Termination phase: Property scanning
% 2.20/0.83 % (92669)Time elapsed: 0.033 s
% 2.20/0.83 % (92669)Peak memory usage: 13 MB
% 2.20/0.83 % (92669)Instructions burned: 145 (million)
% 2.20/0.83 % (92672)Instruction limit reached!
% 2.20/0.83 % (92672)------------------------------
% 2.20/0.83 % (92672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.83 % (92672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.83 % (92672)CaDiCaL version: 2.1.3
% 2.20/0.83 % (92672)Termination reason: Instruction limit
% 2.20/0.83 % (92672)Termination phase: shuffling
% 2.20/0.83 % (92672)Time elapsed: 0.019 s
% 2.20/0.83 % (92672)Peak memory usage: 12 MB
% 2.20/0.83 % (92672)Instructions burned: 43 (million)
% 2.20/0.83 % (92680)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=2302796189:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.20/0.83 % (92679)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1140291828:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.20/0.83 % (92681)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.20/0.83 % (92681)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2166418766:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.20/0.83 % (92681)Instruction limit reached!
% 2.20/0.83 % (92681)------------------------------
% 2.20/0.83 % (92681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.83 % (92681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.83 % (92681)CaDiCaL version: 2.1.3
% 2.20/0.83 % (92681)Termination reason: Instruction limit
% 2.20/0.83 % (92681)Termination phase: shuffling
% 2.20/0.83 % (92681)Time elapsed: 0.004 s
% 2.20/0.83 % (92681)Peak memory usage: 11 MB
% 2.20/0.83 % (92681)Instructions burned: 7 (million)
% 2.20/0.83 % (92643)Instruction limit reached!
% 2.20/0.83 % (92643)------------------------------
% 2.20/0.83 % (92643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.83 % (92643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.83 % (92643)CaDiCaL version: 2.1.3
% 2.20/0.83 % (92643)Termination reason: Instruction limit
% 2.20/0.83 % (92643)Termination phase: Property scanning
% 2.20/0.83 % (92643)Time elapsed: 0.146 s
% 2.20/0.83 % (92643)Peak memory usage: 16 MB
% 2.20/0.83 % (92643)Instructions burned: 329 (million)
% 2.20/0.83 % (92685)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=394384416:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.20/0.83 % (92680)Instruction limit reached!
% 2.20/0.83 % (92680)------------------------------
% 2.20/0.83 % (92680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.83 % (92680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.83 % (92680)CaDiCaL version: 2.1.3
% 2.20/0.83 % (92680)Termination reason: Instruction limit
% 2.20/0.83 % (92680)Termination phase: SInE selection
% 2.20/0.83 % (92680)Time elapsed: 0.038 s
% 2.20/0.83 % (92680)Peak memory usage: 13 MB
% 2.20/0.83 % (92680)Instructions burned: 172 (million)
% 2.20/0.83 % (92685)Instruction limit reached!
% 2.20/0.83 % (92685)------------------------------
% 2.20/0.83 % (92685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.83 % (92685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.83 % (92685)CaDiCaL version: 2.1.3
% 2.20/0.83 % (92685)Termination reason: Instruction limit
% 2.20/0.83 % (92685)Termination phase: shuffling
% 2.20/0.83 % (92685)Time elapsed: 0.010 s
% 2.20/0.83 % (92685)Peak memory usage: 12 MB
% 2.20/0.83 % (92685)Instructions burned: 22 (million)
% 2.20/0.83 % (92688)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=1400292255:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.20/0.83 % (92670)Instruction limit reached!
% 2.20/0.83 % (92670)------------------------------
% 2.20/0.83 % (92670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.83 % (92670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.83 % (92670)CaDiCaL version: 2.1.3
% 2.20/0.83 % (92670)Termination reason: Instruction limit
% 2.20/0.83 % (92670)Termination phase: SInE selection
% 2.20/0.83 % (92670)Time elapsed: 0.083 s
% 2.20/0.83 % (92670)Peak memory usage: 13 MB
% 2.20/0.83 % (92670)Instructions burned: 194 (million)
% 2.20/0.83 % (92686)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2840555510:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.20/0.83 % (92686)Instruction limit reached!
% 2.20/0.83 % (92686)------------------------------
% 2.20/0.83 % (92686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.83 % (92686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.83 % (92686)CaDiCaL version: 2.1.3
% 2.20/0.83 % (92686)Termination reason: Instruction limit
% 2.20/0.83 % (92686)Termination phase: shuffling
% 2.20/0.83 % (92686)Time elapsed: 0.010 s
% 2.20/0.83 % (92686)Peak memory usage: 12 MB
% 2.20/0.83 % (92686)Instructions burned: 21 (million)
% 2.20/0.83 % (92689)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=4168470930:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.20/0.83 % (92691)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=2726373656:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.20/0.83 % (92610) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-92602-92610"...
% 2.20/0.83 % (92610)...printing done.
% 2.20/0.83 % (92610)Refutation found. Thanks to Tanya!
% 2.20/0.83 % SZS status Theorem for theBenchmark
% 2.20/0.83 % SZS output start Proof for theBenchmark
% 2.20/0.83 thf(type_def_5, type, arrow_1389031998le_alt: $tType).
% 2.20/0.83 thf(type_def_6, type, arrow_1196572341e_indi: $tType).
% 2.20/0.83 thf(type_def_7, type, nat: $tType).
% 2.20/0.83 thf(type_def_8, type, product_unit: $tType).
% 2.20/0.83 thf(type_def_9, type, produc1572197287le_alt: $tType).
% 2.20/0.83 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 2.20/0.83 thf(func_def_0, type, all: ((produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_1, type, arrow_1955289568le_IIA: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_2, type, arrow_1982173296le_Lin: ((produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_3, type, arrow_1647925946e_Prof: ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_4, type, arrow_556571452_above: ((produc1572197287le_alt > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_5, type, arrow_1865170000_below: ((produc1572197287le_alt > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_6, type, arrow_968343245ctator: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_7, type, arrow_1821416136_mkbot: ((produc1572197287le_alt > $o) > arrow_1389031998le_alt > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_8, type, arrow_1970123222_mktop: ((produc1572197287le_alt > $o) > arrow_1389031998le_alt > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_9, type, arrow_1282657667nimity: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_10, type, big_co387207925at_nat: ((nat > nat) > (nat > $o) > nat)).
% 2.20/0.83 thf(func_def_11, type, finite2011930979e_indi: ((arrow_1196572341e_indi > $o) > nat)).
% 2.20/0.83 thf(func_def_12, type, finite_card_nat: ((nat > $o) > nat)).
% 2.20/0.83 thf(func_def_13, type, finite1949902593t_unit: ((product_unit > $o) > nat)).
% 2.20/0.83 thf(func_def_14, type, finite431949602e_indi: ((arrow_1196572341e_indi > $o) > $o)).
% 2.20/0.83 thf(func_def_15, type, finite_finite_nat: ((nat > $o) > $o)).
% 2.20/0.83 thf(func_def_16, type, inj_on1505595958di_nat: ((arrow_1196572341e_indi > nat) > (arrow_1196572341e_indi > $o) > $o)).
% 2.20/0.83 thf(func_def_17, type, inj_on_nat_nat: ((nat > nat) > (nat > $o) > $o)).
% 2.20/0.83 thf(func_def_18, type, pi_Arr1865419731lt_o_o: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o > $o) > (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_19, type, pi_Arr470535441e_indi: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > arrow_1196572341e_indi > $o) > (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > arrow_1196572341e_indi) > $o)).
% 2.20/0.83 thf(func_def_20, type, pi_Arr2096782767t_unit: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > product_unit > $o) > (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > product_unit) > $o)).
% 2.20/0.83 thf(func_def_21, type, pi_Arr1196397536_alt_o: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > (produc1572197287le_alt > $o) > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_22, type, pi_Arr1709554855lt_o_o: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_23, type, pi_Arr272777533e_indi: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > arrow_1196572341e_indi > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > arrow_1196572341e_indi) > $o)).
% 2.20/0.83 thf(func_def_24, type, pi_Arr509685723t_unit: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > product_unit > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > product_unit) > $o)).
% 2.20/0.83 thf(func_def_25, type, pi_Pro386796690lt_o_o: (((produc1572197287le_alt > $o) > $o) > ((produc1572197287le_alt > $o) > $o > $o) > ((produc1572197287le_alt > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_26, type, pi_Pro2039443474e_indi: (((produc1572197287le_alt > $o) > $o) > ((produc1572197287le_alt > $o) > arrow_1196572341e_indi > $o) > ((produc1572197287le_alt > $o) > arrow_1196572341e_indi) > $o)).
% 2.20/0.83 thf(func_def_27, type, pi_Pro30504752t_unit: (((produc1572197287le_alt > $o) > $o) > ((produc1572197287le_alt > $o) > product_unit > $o) > ((produc1572197287le_alt > $o) > product_unit) > $o)).
% 2.20/0.83 thf(func_def_28, type, pi_o_A1994447367_alt_o: (($o > $o) > ($o > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > ($o > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_29, type, pi_o_A1479825007_alt_o: (($o > $o) > ($o > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > ($o > arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_30, type, pi_o_P1417870404_alt_o: (($o > $o) > ($o > (produc1572197287le_alt > $o) > $o) > ($o > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_31, type, pi_o_nat: (($o > $o) > ($o > nat > $o) > ($o > nat) > $o)).
% 2.20/0.83 thf(func_def_32, type, pi_o_P728361163le_alt: (($o > $o) > ($o > produc1572197287le_alt > $o) > ($o > produc1572197287le_alt) > $o)).
% 2.20/0.83 thf(func_def_33, type, pi_Arr583278353_alt_o: ((arrow_1196572341e_indi > $o) > (arrow_1196572341e_indi > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > (arrow_1196572341e_indi > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_34, type, pi_Arr456308197_alt_o: ((arrow_1196572341e_indi > $o) > (arrow_1196572341e_indi > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > (arrow_1196572341e_indi > arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_35, type, pi_Arr1309696186_alt_o: ((arrow_1196572341e_indi > $o) > (arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_36, type, pi_Arr778514268di_nat: ((arrow_1196572341e_indi > $o) > (arrow_1196572341e_indi > nat > $o) > (arrow_1196572341e_indi > nat) > $o)).
% 2.20/0.83 thf(func_def_37, type, pi_Arr1762714837le_alt: ((arrow_1196572341e_indi > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > (arrow_1196572341e_indi > produc1572197287le_alt) > $o)).
% 2.20/0.83 thf(func_def_38, type, pi_nat_o: ((nat > $o) > (nat > $o > $o) > (nat > $o) > $o)).
% 2.20/0.83 thf(func_def_39, type, pi_nat986275508e_indi: ((nat > $o) > (nat > arrow_1196572341e_indi > $o) > (nat > arrow_1196572341e_indi) > $o)).
% 2.20/0.83 thf(func_def_40, type, pi_nat_Product_unit: ((nat > $o) > (nat > product_unit > $o) > (nat > product_unit) > $o)).
% 2.20/0.83 thf(func_def_41, type, pi_Pro443817391_alt_o: ((product_unit > $o) > (product_unit > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > (product_unit > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_42, type, pi_Pro1959068871_alt_o: ((product_unit > $o) > (product_unit > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > (product_unit > arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_43, type, pi_Pro29851292_alt_o: ((product_unit > $o) > (product_unit > (produc1572197287le_alt > $o) > $o) > (product_unit > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_44, type, pi_Product_unit_nat: ((product_unit > $o) > (product_unit > nat > $o) > (product_unit > nat) > $o)).
% 2.20/0.83 thf(func_def_45, type, pi_Pro772884595le_alt: ((product_unit > $o) > (product_unit > produc1572197287le_alt > $o) > (product_unit > produc1572197287le_alt) > $o)).
% 2.20/0.83 thf(func_def_46, type, pi_Pro418549519_alt_o: ((produc1572197287le_alt > $o) > (produc1572197287le_alt > $o > $o) > (produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_47, type, pi_Pro1246947541e_indi: ((produc1572197287le_alt > $o) > (produc1572197287le_alt > arrow_1196572341e_indi > $o) > (produc1572197287le_alt > arrow_1196572341e_indi) > $o)).
% 2.20/0.83 thf(func_def_48, type, pi_Pro926528371t_unit: ((produc1572197287le_alt > $o) > (produc1572197287le_alt > product_unit > $o) > (produc1572197287le_alt > product_unit) > $o)).
% 2.20/0.83 thf(func_def_49, type, one_one_nat: nat).
% 2.20/0.83 thf(func_def_50, type, plus_plus_nat: (nat > nat > nat)).
% 2.20/0.83 thf(func_def_51, type, times_times_nat: (nat > nat > nat)).
% 2.20/0.83 thf(func_def_52, type, zero_zero_nat: nat).
% 2.20/0.83 thf(func_def_53, type, bool_size: ($o > nat)).
% 2.20/0.83 thf(func_def_54, type, hilber1125280539di_nat: ((arrow_1196572341e_indi > $o) > (arrow_1196572341e_indi > nat) > nat > arrow_1196572341e_indi)).
% 2.20/0.83 thf(func_def_55, type, hilber195283148at_nat: ((nat > $o) > (nat > nat) > nat > nat)).
% 2.20/0.83 thf(func_def_56, type, if_Pro278423000_alt_o: ($o > (produc1572197287le_alt > $o) > (produc1572197287le_alt > $o) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_57, type, semila848761471_nat_o: ((nat > $o) > (nat > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_58, type, suc: (nat > nat)).
% 2.20/0.83 thf(func_def_59, type, nat_case_o: ($o > (nat > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_60, type, nat_size: (nat > nat)).
% 2.20/0.83 thf(func_def_61, type, size_size_nat: (nat > nat)).
% 2.20/0.83 thf(func_def_62, type, ord_le1382328578lt_o_o: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_63, type, ord_le914873172lt_o_o: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_64, type, ord_le874404799lt_o_o: (((produc1572197287le_alt > $o) > $o) > ((produc1572197287le_alt > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_65, type, ord_le1339521307_alt_o: ((arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > (arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_66, type, ord_le1991507760indi_o: ((arrow_1196572341e_indi > $o) > (arrow_1196572341e_indi > $o) > $o)).
% 2.20/0.83 thf(func_def_67, type, ord_less_nat_o: ((nat > $o) > (nat > $o) > $o)).
% 2.20/0.83 thf(func_def_68, type, ord_le232288914unit_o: ((product_unit > $o) > (product_unit > $o) > $o)).
% 2.20/0.83 thf(func_def_69, type, ord_le1852932542_alt_o: ((produc1572197287le_alt > $o) > (produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_70, type, ord_less_o: ($o > $o > $o)).
% 2.20/0.83 thf(func_def_71, type, ord_less_nat: (nat > nat > $o)).
% 2.20/0.83 thf(func_def_72, type, ord_le1805007862lt_o_o: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_73, type, ord_le602483040lt_o_o: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_74, type, ord_le1027220427lt_o_o: (((produc1572197287le_alt > $o) > $o) > ((produc1572197287le_alt > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_75, type, ord_less_eq_o_o: (($o > $o) > ($o > $o) > $o)).
% 2.20/0.83 thf(func_def_76, type, ord_le1463467535_alt_o: ((arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > (arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_77, type, ord_le1423491573_alt_o: ((arrow_1389031998le_alt > $o) > (arrow_1389031998le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_78, type, ord_le865407012indi_o: ((arrow_1196572341e_indi > $o) > (arrow_1196572341e_indi > $o) > $o)).
% 2.20/0.83 thf(func_def_79, type, ord_less_eq_nat_o: ((nat > $o) > (nat > $o) > $o)).
% 2.20/0.83 thf(func_def_80, type, ord_le1511552390unit_o: ((product_unit > $o) > (product_unit > $o) > $o)).
% 2.20/0.83 thf(func_def_81, type, ord_le962286258_alt_o: ((produc1572197287le_alt > $o) > (produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_82, type, ord_less_eq_o: ($o > $o > $o)).
% 2.20/0.83 thf(func_def_83, type, ord_less_eq_nat: (nat > nat > $o)).
% 2.20/0.83 thf(func_def_84, type, top_to1492351398lt_o_o: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_85, type, top_to732317616lt_o_o: ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_86, type, top_to1806834203lt_o_o: ((produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_87, type, top_top_o_o: ($o > $o)).
% 2.20/0.83 thf(func_def_88, type, top_to1627321279_alt_o: (arrow_1389031998le_alt > arrow_1389031998le_alt > $o)).
% 2.20/0.83 thf(func_def_89, type, top_to54564308indi_o: (arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_90, type, top_top_nat_o: (nat > $o)).
% 2.20/0.83 thf(func_def_91, type, top_to1984820022unit_o: (product_unit > $o)).
% 2.20/0.83 thf(func_def_92, type, top_to558618722_alt_o: (produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_93, type, top_top_o: $o).
% 2.20/0.83 thf(func_def_94, type, produc897867031le_alt: (arrow_1389031998le_alt > arrow_1389031998le_alt > produc1572197287le_alt)).
% 2.20/0.83 thf(func_def_95, type, ord_at238088361st_nat: (nat > nat > nat > $o)).
% 2.20/0.83 thf(func_def_96, type, ord_at4362885an_nat: (nat > nat > nat > $o)).
% 2.20/0.83 thf(func_def_97, type, ord_atLeast_nat: (nat > nat > $o)).
% 2.20/0.83 thf(func_def_98, type, ord_gr375877188st_nat: (nat > nat > nat > $o)).
% 2.20/0.83 thf(func_def_99, type, ord_gr660468384an_nat: (nat > nat > nat > $o)).
% 2.20/0.83 thf(func_def_100, type, ord_greaterThan_nat: (nat > nat > $o)).
% 2.20/0.83 thf(func_def_101, type, collec670126350_alt_o: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_102, type, collec979749928_alt_o: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_103, type, collec958969213_alt_o: (((produc1572197287le_alt > $o) > $o) > (produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_104, type, collec1936859488e_indi: ((arrow_1196572341e_indi > $o) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_105, type, collect_nat: ((nat > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_106, type, collect_Product_unit: ((product_unit > $o) > product_unit > $o)).
% 2.20/0.83 thf(func_def_107, type, collec940901970le_alt: ((produc1572197287le_alt > $o) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_108, type, image_1011045538di_nat: ((arrow_1196572341e_indi > nat) > (arrow_1196572341e_indi > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_109, type, image_nat_nat: ((nat > nat) > (nat > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_110, type, member1346253567lt_o_o: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_111, type, member1539010427e_indi: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > arrow_1196572341e_indi) > ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > arrow_1196572341e_indi) > $o) > $o)).
% 2.20/0.83 thf(func_def_112, type, member1043380889t_unit: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > product_unit) > ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > product_unit) > $o) > $o)).
% 2.20/0.83 thf(func_def_113, type, member1425217232_alt_o: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_114, type, member1696373143lt_o_o: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_115, type, member1186582243e_indi: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > arrow_1196572341e_indi) > (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > arrow_1196572341e_indi) > $o) > $o)).
% 2.20/0.83 thf(func_def_116, type, member1537523201t_unit: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > product_unit) > (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > product_unit) > $o) > $o)).
% 2.20/0.83 thf(func_def_117, type, member1925470338lt_o_o: (((produc1572197287le_alt > $o) > $o) > (((produc1572197287le_alt > $o) > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_118, type, member1830244024e_indi: (((produc1572197287le_alt > $o) > arrow_1196572341e_indi) > (((produc1572197287le_alt > $o) > arrow_1196572341e_indi) > $o) > $o)).
% 2.20/0.83 thf(func_def_119, type, member1092867670t_unit: (((produc1572197287le_alt > $o) > product_unit) > (((produc1572197287le_alt > $o) > product_unit) > $o) > $o)).
% 2.20/0.83 thf(func_def_120, type, member161783341_alt_o: (($o > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > (($o > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_121, type, member984757343_alt_o: (($o > arrow_1196572341e_indi > produc1572197287le_alt > $o) > (($o > arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_122, type, member1495989556_alt_o: (($o > produc1572197287le_alt > $o) > (($o > produc1572197287le_alt > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_123, type, member_o_nat: (($o > nat) > (($o > nat) > $o) > $o)).
% 2.20/0.83 thf(func_def_124, type, member1158049649le_alt: (($o > produc1572197287le_alt) > (($o > produc1572197287le_alt) > $o) > $o)).
% 2.20/0.83 thf(func_def_125, type, member1521294075_alt_o: ((arrow_1196572341e_indi > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > ((arrow_1196572341e_indi > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_126, type, member2071265553_alt_o: ((arrow_1196572341e_indi > arrow_1196572341e_indi > produc1572197287le_alt > $o) > ((arrow_1196572341e_indi > arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_127, type, member822980838_alt_o: ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_128, type, member1842285448di_nat: ((arrow_1196572341e_indi > nat) > ((arrow_1196572341e_indi > nat) > $o) > $o)).
% 2.20/0.83 thf(func_def_129, type, member232085823le_alt: ((arrow_1196572341e_indi > produc1572197287le_alt) > ((arrow_1196572341e_indi > produc1572197287le_alt) > $o) > $o)).
% 2.20/0.83 thf(func_def_130, type, member_nat_o: ((nat > $o) > ((nat > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_131, type, member1113138010e_indi: ((nat > arrow_1196572341e_indi) > ((nat > arrow_1196572341e_indi) > $o) > $o)).
% 2.20/0.83 thf(func_def_132, type, member616671224t_unit: ((nat > product_unit) > ((nat > product_unit) > $o) > $o)).
% 2.20/0.83 thf(func_def_133, type, member1888392857_alt_o: ((product_unit > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > ((product_unit > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_134, type, member2021528307_alt_o: ((product_unit > arrow_1196572341e_indi > produc1572197287le_alt > $o) > ((product_unit > arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_135, type, member1295651272_alt_o: ((product_unit > produc1572197287le_alt > $o) > ((product_unit > produc1572197287le_alt > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_136, type, member1827227242it_nat: ((product_unit > nat) > ((product_unit > nat) > $o) > $o)).
% 2.20/0.83 thf(func_def_137, type, member1161214429le_alt: ((product_unit > produc1572197287le_alt) > ((product_unit > produc1572197287le_alt) > $o) > $o)).
% 2.20/0.83 thf(func_def_138, type, member1241905979_alt_o: ((produc1572197287le_alt > $o) > ((produc1572197287le_alt > $o) > $o) > $o)).
% 2.20/0.83 thf(func_def_139, type, member1074431551e_indi: ((produc1572197287le_alt > arrow_1196572341e_indi) > ((produc1572197287le_alt > arrow_1196572341e_indi) > $o) > $o)).
% 2.20/0.83 thf(func_def_140, type, member44534621t_unit: ((produc1572197287le_alt > product_unit) > ((produc1572197287le_alt > product_unit) > $o) > $o)).
% 2.20/0.83 thf(func_def_141, type, member_o: ($o > ($o > $o) > $o)).
% 2.20/0.83 thf(func_def_142, type, member1818997282e_indi: (arrow_1196572341e_indi > (arrow_1196572341e_indi > $o) > $o)).
% 2.20/0.83 thf(func_def_143, type, member_nat: (nat > (nat > $o) > $o)).
% 2.20/0.83 thf(func_def_144, type, member_Product_unit: (product_unit > (product_unit > $o) > $o)).
% 2.20/0.83 thf(func_def_145, type, member285112084le_alt: (produc1572197287le_alt > (produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_146, type, f: ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_147, type, lab: (produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_148, type, lba: (produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_149, type, p: (arrow_1196572341e_indi > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_150, type, a: arrow_1389031998le_alt).
% 2.20/0.83 thf(func_def_151, type, b: arrow_1389031998le_alt).
% 2.20/0.83 thf(func_def_152, type, c: arrow_1389031998le_alt).
% 2.20/0.83 thf(func_def_153, type, d: arrow_1389031998le_alt).
% 2.20/0.83 thf(func_def_154, type, e: arrow_1389031998le_alt).
% 2.20/0.83 thf(func_def_155, type, h: (arrow_1196572341e_indi > nat)).
% 2.20/0.83 thf(func_def_156, type, n: nat).
% 2.20/0.83 thf(func_def_158, type, vAND: ($o > $o > $o)).
% 2.20/0.83 thf(func_def_161, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.20/0.83 thf(func_def_162, type, db0: !>[X0: $tType]:(X0)).
% 2.20/0.83 thf(func_def_163, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.20/0.83 thf(func_def_164, type, db1: !>[X0: $tType]:(X0)).
% 2.20/0.83 thf(func_def_165, type, sP0: (arrow_1389031998le_alt > arrow_1389031998le_alt > (produc1572197287le_alt > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o)).
% 2.20/0.83 thf(func_def_166, type, sP1: (arrow_1389031998le_alt > arrow_1389031998le_alt > (produc1572197287le_alt > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o)).
% 2.20/0.83 thf(func_def_167, type, sP2: (arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_168, type, sP3: (arrow_1389031998le_alt > arrow_1389031998le_alt > (produc1572197287le_alt > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o)).
% 2.20/0.83 thf(func_def_169, type, sP4: (arrow_1389031998le_alt > arrow_1389031998le_alt > (produc1572197287le_alt > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o)).
% 2.20/0.83 thf(func_def_170, type, sP5: (arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_171, type, sK6: ((nat > (produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_172, type, sK7: ((nat > (produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_173, type, sK8: (produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_174, type, sK9: ((nat > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_175, type, sK10: ((nat > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_176, type, sK11: ((nat > (produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_177, type, sK12: ((nat > (produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_178, type, sK13: (nat > (nat > $o) > nat)).
% 2.20/0.83 thf(func_def_179, type, sK14: ((nat > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_180, type, sK15: ((nat > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_181, type, sK16: ((nat > nat) > nat)).
% 2.20/0.83 thf(func_def_182, type, sK17: ((nat > nat) > nat)).
% 2.20/0.83 thf(func_def_183, type, sK18: (nat > nat > nat)).
% 2.20/0.83 thf(func_def_184, type, sK19: (((nat > $o) > produc1572197287le_alt > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_185, type, sK20: (((nat > $o) > produc1572197287le_alt > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_186, type, sK21: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > product_unit) > (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > product_unit > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_187, type, sK22: (((product_unit > $o) > nat) > product_unit > $o)).
% 2.20/0.83 thf(func_def_188, type, sK23: (((product_unit > $o) > nat) > product_unit > $o)).
% 2.20/0.83 thf(func_def_189, type, sK24: ((nat > (produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_190, type, sK25: ((nat > (produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_191, type, sK26: ((nat > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_192, type, sK27: ((nat > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_193, type, sK28: ((nat > produc1572197287le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_194, type, sK29: ((nat > produc1572197287le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_195, type, sK30: (((product_unit > $o) > nat) > product_unit > $o)).
% 2.20/0.83 thf(func_def_196, type, sK31: (((product_unit > $o) > nat) > product_unit > $o)).
% 2.20/0.83 thf(func_def_197, type, sK32: ((nat > $o) > (nat > $o) > nat)).
% 2.20/0.83 thf(func_def_198, type, sK33: (($o > nat) > $o)).
% 2.20/0.83 thf(func_def_199, type, sK34: (($o > nat) > $o)).
% 2.20/0.83 thf(func_def_200, type, sK35: (((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_201, type, sK36: (((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_202, type, sK37: (((nat > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_203, type, sK38: (((nat > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_204, type, sK39: ((nat > nat > $o) > nat)).
% 2.20/0.83 thf(func_def_205, type, sK40: ((nat > nat > $o) > nat)).
% 2.20/0.83 thf(func_def_206, type, sK41: (((nat > $o) > nat > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_207, type, sK42: (((nat > $o) > nat > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_208, type, sK43: ((nat > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_209, type, sK44: ((nat > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_210, type, sK45: ((nat > $o) > nat)).
% 2.20/0.83 thf(func_def_211, type, sK46: ((nat > $o) > nat)).
% 2.20/0.83 thf(func_def_212, type, sK47: ((((produc1572197287le_alt > $o) > $o) > nat) > (produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_213, type, sK48: ((((produc1572197287le_alt > $o) > $o) > nat) > (produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_214, type, sK49: (((nat > $o) > arrow_1196572341e_indi > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_215, type, sK50: (((nat > $o) > arrow_1196572341e_indi > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_216, type, sK51: (arrow_1389031998le_alt > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > arrow_1389031998le_alt > arrow_1196572341e_indi)).
% 2.20/0.83 thf(func_def_217, type, sK52: ((nat > nat) > nat)).
% 2.20/0.83 thf(func_def_218, type, sK53: (((nat > $o) > nat > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_219, type, sK54: (((nat > $o) > nat > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_220, type, sK55: ((nat > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_221, type, sK56: ((nat > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_222, type, sK57: ((arrow_1196572341e_indi > nat) > (arrow_1196572341e_indi > $o) > arrow_1196572341e_indi)).
% 2.20/0.83 thf(func_def_223, type, sK58: ((arrow_1196572341e_indi > nat) > (arrow_1196572341e_indi > $o) > arrow_1196572341e_indi)).
% 2.20/0.83 thf(func_def_224, type, sK59: ((arrow_1196572341e_indi > nat) > arrow_1196572341e_indi)).
% 2.20/0.83 thf(func_def_225, type, sK60: ((arrow_1196572341e_indi > nat) > arrow_1196572341e_indi)).
% 2.20/0.83 thf(func_def_226, type, sK61: (((arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o)).
% 2.20/0.83 thf(func_def_227, type, sK62: (((arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o)).
% 2.20/0.83 thf(func_def_228, type, sK63: ((nat > arrow_1196572341e_indi > $o) > nat)).
% 2.20/0.83 thf(func_def_229, type, sK64: ((nat > arrow_1196572341e_indi > $o) > nat)).
% 2.20/0.83 thf(func_def_230, type, sK65: (arrow_1196572341e_indi > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > arrow_1196572341e_indi > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_231, type, sK66: (arrow_1196572341e_indi > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > arrow_1389031998le_alt)).
% 2.20/0.83 thf(func_def_232, type, sK67: (arrow_1196572341e_indi > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > arrow_1389031998le_alt)).
% 2.20/0.83 thf(func_def_233, type, sK68: (((nat > $o) > produc1572197287le_alt > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_234, type, sK69: (((nat > $o) > produc1572197287le_alt > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_235, type, sK70: (((arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o)).
% 2.20/0.83 thf(func_def_236, type, sK71: (((arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o)).
% 2.20/0.83 thf(func_def_237, type, sK72: (((nat > $o) > arrow_1196572341e_indi > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_238, type, sK73: (((nat > $o) > arrow_1196572341e_indi > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_239, type, sK74: ((produc1572197287le_alt > $o) > (produc1572197287le_alt > $o > $o) > (produc1572197287le_alt > $o) > produc1572197287le_alt)).
% 2.20/0.83 thf(func_def_240, type, sK75: (arrow_1389031998le_alt > arrow_1389031998le_alt > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > arrow_1196572341e_indi)).
% 2.20/0.83 thf(func_def_241, type, sK76: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > arrow_1196572341e_indi > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_242, type, sK77: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > arrow_1389031998le_alt)).
% 2.20/0.83 thf(func_def_243, type, sK78: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > arrow_1389031998le_alt)).
% 2.20/0.83 thf(func_def_244, type, sK79: ((((produc1572197287le_alt > $o) > $o) > nat > $o) > (produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_245, type, sK80: ((((produc1572197287le_alt > $o) > $o) > nat > $o) > (produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_246, type, sK81: (((nat > $o) > nat > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_247, type, sK82: (((nat > $o) > nat > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_248, type, sK83: (produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_249, type, sK84: (nat > nat > nat)).
% 2.20/0.83 thf(func_def_250, type, sK85: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o > $o) > (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_251, type, sK86: ((product_unit > $o) > (product_unit > $o) > product_unit)).
% 2.20/0.83 thf(func_def_252, type, sK87: (((nat > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_253, type, sK88: (((nat > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_254, type, sK89: ((nat > nat > $o) > nat)).
% 2.20/0.83 thf(func_def_255, type, sK90: ((nat > nat > $o) > nat)).
% 2.20/0.83 thf(func_def_256, type, sK91: (((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_257, type, sK92: (((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_258, type, sK93: (((produc1572197287le_alt > $o) > nat) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_259, type, sK94: (((produc1572197287le_alt > $o) > nat) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_260, type, sK95: (((arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o)).
% 2.20/0.83 thf(func_def_261, type, sK96: (((arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o)).
% 2.20/0.83 thf(func_def_262, type, sK97: (((product_unit > $o) > nat > $o) > product_unit > $o)).
% 2.20/0.83 thf(func_def_263, type, sK98: (((product_unit > $o) > nat > $o) > product_unit > $o)).
% 2.20/0.83 thf(func_def_264, type, sK99: (((nat > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_265, type, sK100: (((nat > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_266, type, sK101: ((nat > produc1572197287le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_267, type, sK102: ((nat > produc1572197287le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_268, type, sK103: ((nat > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_269, type, sK104: ((nat > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_270, type, sK105: ((nat > nat > $o) > nat)).
% 2.20/0.83 thf(func_def_271, type, sK106: ((nat > nat > $o) > nat)).
% 2.20/0.83 thf(func_def_272, type, sK107: ((nat > $o) > nat)).
% 2.20/0.83 thf(func_def_273, type, sK108: ((nat > $o) > nat)).
% 2.20/0.83 thf(func_def_274, type, sK109: ((nat > produc1572197287le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_275, type, sK110: ((nat > produc1572197287le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_276, type, sK111: (nat > nat > nat)).
% 2.20/0.83 thf(func_def_277, type, sK112: ((nat > arrow_1196572341e_indi) > (nat > arrow_1196572341e_indi > $o) > (nat > $o) > nat)).
% 2.20/0.83 thf(func_def_278, type, sK113: (((nat > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_279, type, sK114: (((nat > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_280, type, sK115: ((((produc1572197287le_alt > $o) > $o) > nat > $o) > (produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_281, type, sK116: ((((produc1572197287le_alt > $o) > $o) > nat > $o) > (produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_282, type, sK117: ((nat > product_unit > $o) > nat)).
% 2.20/0.83 thf(func_def_283, type, sK118: ((nat > product_unit > $o) > nat)).
% 2.20/0.83 thf(func_def_284, type, sK119: (((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_285, type, sK120: (((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_286, type, sK121: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_287, type, sK122: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_288, type, sK123: (((nat > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_289, type, sK124: (((nat > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_290, type, sK125: ((nat > produc1572197287le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_291, type, sK126: ((nat > produc1572197287le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_292, type, sK127: (((product_unit > $o) > nat > $o) > product_unit > $o)).
% 2.20/0.83 thf(func_def_293, type, sK128: (((product_unit > $o) > nat > $o) > product_unit > $o)).
% 2.20/0.83 thf(func_def_294, type, sK129: (((arrow_1196572341e_indi > $o) > nat) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_295, type, sK130: (((arrow_1196572341e_indi > $o) > nat) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_296, type, sK131: ((nat > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_297, type, sK132: ((nat > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_298, type, sK133: ((((produc1572197287le_alt > $o) > $o) > nat) > (produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_299, type, sK134: ((((produc1572197287le_alt > $o) > $o) > nat) > (produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_300, type, sK135: ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > arrow_1389031998le_alt > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > arrow_1389031998le_alt > arrow_1196572341e_indi)).
% 2.20/0.83 thf(func_def_301, type, sK136: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > arrow_1196572341e_indi) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > arrow_1196572341e_indi > $o) > arrow_1196572341e_indi > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_302, type, sK137: ((product_unit > $o) > (product_unit > $o) > product_unit)).
% 2.20/0.83 thf(func_def_303, type, sK138: ((nat > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_304, type, sK139: ((nat > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_305, type, sK140: ((nat > arrow_1196572341e_indi > $o) > nat)).
% 2.20/0.83 thf(func_def_306, type, sK141: ((nat > arrow_1196572341e_indi > $o) > nat)).
% 2.20/0.83 thf(func_def_307, type, sK142: (((nat > $o) > nat > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_308, type, sK143: (((nat > $o) > nat > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_309, type, sK144: ((nat > (produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_310, type, sK145: ((nat > (produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_311, type, sK146: (((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_312, type, sK147: (((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_313, type, sK148: ((arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > (arrow_1196572341e_indi > $o) > arrow_1196572341e_indi)).
% 2.20/0.83 thf(func_def_314, type, sK149: ((arrow_1196572341e_indi > $o) > (arrow_1196572341e_indi > $o) > arrow_1196572341e_indi)).
% 2.20/0.83 thf(func_def_315, type, sK150: ((arrow_1196572341e_indi > $o) > (arrow_1196572341e_indi > $o) > arrow_1196572341e_indi)).
% 2.20/0.83 thf(func_def_316, type, sK151: ((((produc1572197287le_alt > $o) > $o) > nat > $o) > (produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_317, type, sK152: ((((produc1572197287le_alt > $o) > $o) > nat > $o) > (produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_318, type, sK153: ((nat > produc1572197287le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_319, type, sK154: ((nat > produc1572197287le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_320, type, sK155: (((nat > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_321, type, sK156: (((nat > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_322, type, sK157: (((arrow_1196572341e_indi > $o) > nat) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_323, type, sK158: (((arrow_1196572341e_indi > $o) > nat) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_324, type, sK159: ((((produc1572197287le_alt > $o) > $o) > nat > $o) > (produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_325, type, sK160: ((((produc1572197287le_alt > $o) > $o) > nat > $o) > (produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_326, type, sK161: (($o > nat) > ($o > nat > $o) > ($o > $o) > $o)).
% 2.20/0.83 thf(func_def_327, type, sK162: (((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_328, type, sK163: (((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_329, type, sK164: ((nat > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_330, type, sK165: ((nat > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_331, type, sK166: ((produc1572197287le_alt > arrow_1196572341e_indi) > (produc1572197287le_alt > arrow_1196572341e_indi > $o) > (produc1572197287le_alt > $o) > produc1572197287le_alt)).
% 2.20/0.83 thf(func_def_332, type, sK167: (((nat > $o) > product_unit > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_333, type, sK168: (((nat > $o) > product_unit > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_334, type, sK169: ((nat > product_unit > $o) > nat)).
% 2.20/0.83 thf(func_def_335, type, sK170: ((nat > product_unit > $o) > nat)).
% 2.20/0.83 thf(func_def_336, type, sK171: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_337, type, sK172: (((nat > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_338, type, sK173: (((nat > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_339, type, sK174: (nat > nat > nat)).
% 2.20/0.83 thf(func_def_340, type, sK175: (((product_unit > $o) > nat > $o) > product_unit > $o)).
% 2.20/0.83 thf(func_def_341, type, sK176: (((product_unit > $o) > nat > $o) > product_unit > $o)).
% 2.20/0.83 thf(func_def_342, type, sK177: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_343, type, sK178: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_344, type, sK179: (($o > nat > $o) > $o)).
% 2.20/0.83 thf(func_def_345, type, sK180: (($o > nat > $o) > $o)).
% 2.20/0.83 thf(func_def_346, type, sK181: ((nat > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_347, type, sK182: ((nat > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_348, type, sK183: ((nat > nat) > nat)).
% 2.20/0.83 thf(func_def_349, type, sK184: ((nat > nat) > nat)).
% 2.20/0.83 thf(func_def_350, type, sK185: (nat > nat)).
% 2.20/0.83 thf(func_def_351, type, sK186: ((product_unit > $o) > (product_unit > nat > $o) > (product_unit > nat) > product_unit)).
% 2.20/0.83 thf(func_def_352, type, sK187: ((nat > nat) > nat)).
% 2.20/0.83 thf(func_def_353, type, sK188: ((nat > nat) > nat)).
% 2.20/0.83 thf(func_def_354, type, sK189: (((product_unit > $o) > nat) > product_unit > $o)).
% 2.20/0.83 thf(func_def_355, type, sK190: (((product_unit > $o) > nat) > product_unit > $o)).
% 2.20/0.83 thf(func_def_356, type, sK191: (((nat > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_357, type, sK192: (((nat > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_358, type, sK193: ((nat > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_359, type, sK194: ((nat > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_360, type, sK195: (((arrow_1196572341e_indi > $o) > nat) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_361, type, sK196: (((arrow_1196572341e_indi > $o) > nat) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_362, type, sK197: (((product_unit > $o) > nat) > product_unit > $o)).
% 2.20/0.83 thf(func_def_363, type, sK198: (((product_unit > $o) > nat) > product_unit > $o)).
% 2.20/0.83 thf(func_def_364, type, sK199: (((arrow_1196572341e_indi > $o) > nat > $o) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_365, type, sK200: (((arrow_1196572341e_indi > $o) > nat > $o) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_366, type, sK201: (((nat > $o) > arrow_1196572341e_indi > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_367, type, sK202: (((nat > $o) > arrow_1196572341e_indi > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_368, type, sK203: (((arrow_1196572341e_indi > $o) > nat > $o) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_369, type, sK204: (((arrow_1196572341e_indi > $o) > nat > $o) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_370, type, sK205: ((nat > arrow_1196572341e_indi > $o) > nat)).
% 2.20/0.83 thf(func_def_371, type, sK206: ((nat > arrow_1196572341e_indi > $o) > nat)).
% 2.20/0.83 thf(func_def_372, type, sK207: ((product_unit > arrow_1196572341e_indi > produc1572197287le_alt > $o) > (product_unit > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > (product_unit > $o) > product_unit)).
% 2.20/0.83 thf(func_def_373, type, sK208: (((nat > $o) > arrow_1196572341e_indi > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_374, type, sK209: (((nat > $o) > arrow_1196572341e_indi > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_375, type, sK210: ((nat > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_376, type, sK211: ((nat > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_377, type, sK212: ((nat > arrow_1196572341e_indi > $o) > nat)).
% 2.20/0.83 thf(func_def_378, type, sK213: ((nat > arrow_1196572341e_indi > $o) > nat)).
% 2.20/0.83 thf(func_def_379, type, sK214: (($o > nat) > $o)).
% 2.20/0.83 thf(func_def_380, type, sK215: (($o > nat) > $o)).
% 2.20/0.83 thf(func_def_381, type, sK216: ((nat > produc1572197287le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_382, type, sK217: ((nat > produc1572197287le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_383, type, sK218: ((nat > $o) > nat)).
% 2.20/0.83 thf(func_def_384, type, sK219: (nat > (nat > $o) > nat)).
% 2.20/0.83 thf(func_def_385, type, sK220: nat).
% 2.20/0.83 thf(func_def_386, type, sK221: ((nat > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_387, type, sK222: ((nat > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_388, type, sK223: (((nat > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_389, type, sK224: (((nat > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_390, type, sK225: (((nat > $o) > nat > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_391, type, sK226: (((nat > $o) > nat > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_392, type, sK227: ((nat > arrow_1196572341e_indi > $o) > nat)).
% 2.20/0.83 thf(func_def_393, type, sK228: ((nat > arrow_1196572341e_indi > $o) > nat)).
% 2.20/0.83 thf(func_def_394, type, sK229: (((arrow_1196572341e_indi > $o) > nat) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_395, type, sK230: (((arrow_1196572341e_indi > $o) > nat) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_396, type, sK231: ((nat > product_unit > $o) > nat)).
% 2.20/0.83 thf(func_def_397, type, sK232: ((nat > product_unit > $o) > nat)).
% 2.20/0.83 thf(func_def_398, type, sK233: ((nat > product_unit > $o) > nat)).
% 2.20/0.83 thf(func_def_399, type, sK234: ((nat > product_unit > $o) > nat)).
% 2.20/0.83 thf(func_def_400, type, sK235: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > arrow_1196572341e_indi) > (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > arrow_1196572341e_indi > $o) > (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_401, type, sK236: (((produc1572197287le_alt > $o) > nat > $o) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_402, type, sK237: (((produc1572197287le_alt > $o) > nat > $o) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_403, type, sK238: ((nat > product_unit > $o) > nat)).
% 2.20/0.83 thf(func_def_404, type, sK239: ((nat > product_unit > $o) > nat)).
% 2.20/0.83 thf(func_def_405, type, sK240: (((arrow_1196572341e_indi > $o) > nat > $o) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_406, type, sK241: (((arrow_1196572341e_indi > $o) > nat > $o) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_407, type, sK242: (((product_unit > $o) > nat > $o) > product_unit > $o)).
% 2.20/0.83 thf(func_def_408, type, sK243: (((product_unit > $o) > nat > $o) > product_unit > $o)).
% 2.20/0.83 thf(func_def_409, type, sK244: (((product_unit > $o) > nat > $o) > product_unit > $o)).
% 2.20/0.83 thf(func_def_410, type, sK245: (((product_unit > $o) > nat > $o) > product_unit > $o)).
% 2.20/0.83 thf(func_def_411, type, sK246: (((produc1572197287le_alt > $o) > nat > $o) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_412, type, sK247: (((produc1572197287le_alt > $o) > nat > $o) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_413, type, sK248: ((nat > produc1572197287le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_414, type, sK249: ((nat > produc1572197287le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_415, type, sK250: (nat > nat > nat)).
% 2.20/0.83 thf(func_def_416, type, sK251: (nat > nat)).
% 2.20/0.83 thf(func_def_417, type, sK252: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_418, type, sK253: ((nat > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_419, type, sK254: ((nat > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_420, type, sK255: (arrow_1196572341e_indi > nat)).
% 2.20/0.83 thf(func_def_421, type, sK256: (((nat > $o) > nat) > nat > $o)).
% 2.20/0.83 thf(func_def_422, type, sK257: (((nat > $o) > nat) > nat > $o)).
% 2.20/0.83 thf(func_def_423, type, sK258: (arrow_1389031998le_alt > arrow_1389031998le_alt > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_424, type, sK259: ((arrow_1196572341e_indi > $o) > (arrow_1196572341e_indi > arrow_1196572341e_indi > produc1572197287le_alt > $o) > (arrow_1196572341e_indi > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > arrow_1196572341e_indi)).
% 2.20/0.83 thf(func_def_425, type, sK260: (((nat > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_426, type, sK261: (((nat > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_427, type, sK262: (($o > nat > $o) > $o)).
% 2.20/0.83 thf(func_def_428, type, sK263: (($o > nat > $o) > $o)).
% 2.20/0.83 thf(func_def_429, type, sK264: (((arrow_1196572341e_indi > $o) > nat > $o) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_430, type, sK265: (((arrow_1196572341e_indi > $o) > nat > $o) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_431, type, sK266: (((arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o)).
% 2.20/0.83 thf(func_def_432, type, sK267: (((arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o)).
% 2.20/0.83 thf(func_def_433, type, sK268: (((arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o)).
% 2.20/0.83 thf(func_def_434, type, sK269: (((arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o)).
% 2.20/0.83 thf(func_def_435, type, sK270: ((nat > product_unit > $o) > nat)).
% 2.20/0.83 thf(func_def_436, type, sK271: ((nat > product_unit > $o) > nat)).
% 2.20/0.83 thf(func_def_437, type, sK272: (($o > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > ($o > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > ($o > $o) > $o)).
% 2.20/0.83 thf(func_def_438, type, sK273: ((nat > $o) > nat)).
% 2.20/0.83 thf(func_def_439, type, sK274: (nat > (nat > $o) > nat)).
% 2.20/0.83 thf(func_def_440, type, sK275: ((nat > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_441, type, sK276: ((nat > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_442, type, sK277: ((produc1572197287le_alt > $o) > (produc1572197287le_alt > product_unit > $o) > (produc1572197287le_alt > product_unit) > produc1572197287le_alt)).
% 2.20/0.83 thf(func_def_443, type, sK278: ((nat > nat > $o) > nat)).
% 2.20/0.83 thf(func_def_444, type, sK279: ((nat > nat > $o) > nat)).
% 2.20/0.83 thf(func_def_445, type, sK280: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_446, type, sK281: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_447, type, sK282: (((arrow_1196572341e_indi > $o) > nat > $o) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_448, type, sK283: (((arrow_1196572341e_indi > $o) > nat > $o) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_449, type, sK284: ((nat > product_unit > $o) > nat)).
% 2.20/0.83 thf(func_def_450, type, sK285: ((nat > product_unit > $o) > nat)).
% 2.20/0.83 thf(func_def_451, type, sK286: (((arrow_1196572341e_indi > $o) > nat) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_452, type, sK287: (((arrow_1196572341e_indi > $o) > nat) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_453, type, sK288: (((produc1572197287le_alt > $o) > $o) > ((produc1572197287le_alt > $o) > $o) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_454, type, sK289: ((nat > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_455, type, sK290: ((nat > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_456, type, sK291: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_457, type, sK292: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_458, type, sK293: ((nat > (produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_459, type, sK294: ((nat > (produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_460, type, sK295: ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > arrow_1196572341e_indi)).
% 2.20/0.83 thf(func_def_461, type, sK296: ((nat > $o > $o) > (nat > $o) > (nat > $o) > nat)).
% 2.20/0.83 thf(func_def_462, type, sK297: ((nat > $o) > nat)).
% 2.20/0.83 thf(func_def_463, type, sK298: ((nat > $o) > nat)).
% 2.20/0.83 thf(func_def_464, type, sK299: ((nat > nat > $o) > nat)).
% 2.20/0.83 thf(func_def_465, type, sK300: ((nat > nat > $o) > nat)).
% 2.20/0.83 thf(func_def_466, type, sK301: ((nat > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_467, type, sK302: ((nat > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_468, type, sK303: ((product_unit > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > (product_unit > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > (product_unit > $o) > product_unit)).
% 2.20/0.83 thf(func_def_469, type, sK304: (((product_unit > $o) > nat > $o) > product_unit > $o)).
% 2.20/0.83 thf(func_def_470, type, sK305: (((product_unit > $o) > nat > $o) > product_unit > $o)).
% 2.20/0.83 thf(func_def_471, type, sK306: (nat > nat > nat)).
% 2.20/0.83 thf(func_def_472, type, sK307: ((nat > $o) > (nat > $o) > nat)).
% 2.20/0.83 thf(func_def_473, type, sK308: (((produc1572197287le_alt > $o) > nat) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_474, type, sK309: (((produc1572197287le_alt > $o) > nat) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_475, type, sK310: ((nat > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_476, type, sK311: ((nat > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_477, type, sK312: (((nat > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_478, type, sK313: (((nat > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_479, type, sK314: (((product_unit > $o) > nat > $o) > product_unit > $o)).
% 2.20/0.83 thf(func_def_480, type, sK315: (((product_unit > $o) > nat > $o) > product_unit > $o)).
% 2.20/0.83 thf(func_def_481, type, sK316: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > arrow_1196572341e_indi > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_482, type, sK317: (((nat > $o) > nat > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_483, type, sK318: (((nat > $o) > nat > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_484, type, sK319: ((nat > product_unit > $o) > nat)).
% 2.20/0.83 thf(func_def_485, type, sK320: ((nat > product_unit > $o) > nat)).
% 2.20/0.83 thf(func_def_486, type, sK321: (((nat > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_487, type, sK322: (((nat > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_488, type, sK323: (($o > nat) > $o)).
% 2.20/0.83 thf(func_def_489, type, sK324: (($o > nat) > $o)).
% 2.20/0.83 thf(func_def_490, type, sK325: ((nat > $o) > nat)).
% 2.20/0.83 thf(func_def_491, type, sK326: ((nat > $o) > nat)).
% 2.20/0.83 thf(func_def_492, type, sK327: (((nat > $o) > nat) > nat > $o)).
% 2.20/0.83 thf(func_def_493, type, sK328: (((nat > $o) > nat) > nat > $o)).
% 2.20/0.83 thf(func_def_494, type, sK329: ((nat > produc1572197287le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_495, type, sK330: ((nat > produc1572197287le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_496, type, sK331: (((product_unit > $o) > nat > $o) > product_unit > $o)).
% 2.20/0.83 thf(func_def_497, type, sK332: (((product_unit > $o) > nat > $o) > product_unit > $o)).
% 2.20/0.83 thf(func_def_498, type, sK333: (((arrow_1196572341e_indi > $o) > nat > $o) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_499, type, sK334: (((arrow_1196572341e_indi > $o) > nat > $o) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_500, type, sK335: (nat > (nat > $o) > nat)).
% 2.20/0.83 thf(func_def_501, type, sK336: (nat > (nat > $o) > nat)).
% 2.20/0.83 thf(func_def_502, type, sK337: ((nat > $o) > nat)).
% 2.20/0.83 thf(func_def_503, type, sK338: ((arrow_1196572341e_indi > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > (arrow_1196572341e_indi > $o) > (arrow_1196572341e_indi > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > arrow_1196572341e_indi)).
% 2.20/0.83 thf(func_def_504, type, sK339: (((nat > $o) > nat) > nat > $o)).
% 2.20/0.83 thf(func_def_505, type, sK340: (((nat > $o) > nat) > nat > $o)).
% 2.20/0.83 thf(func_def_506, type, sK341: ((nat > arrow_1196572341e_indi > $o) > nat)).
% 2.20/0.83 thf(func_def_507, type, sK342: ((nat > arrow_1196572341e_indi > $o) > nat)).
% 2.20/0.83 thf(func_def_508, type, sK343: (((nat > $o) > produc1572197287le_alt > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_509, type, sK344: (((nat > $o) > produc1572197287le_alt > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_510, type, sK345: (((nat > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_511, type, sK346: (((nat > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_512, type, sK347: (($o > nat > $o) > $o)).
% 2.20/0.83 thf(func_def_513, type, sK348: (($o > nat > $o) > $o)).
% 2.20/0.83 thf(func_def_514, type, sK349: ((nat > $o) > nat)).
% 2.20/0.83 thf(func_def_515, type, sK350: ((nat > $o) > nat)).
% 2.20/0.83 thf(func_def_516, type, sK351: (((produc1572197287le_alt > $o) > nat > $o) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_517, type, sK352: (((produc1572197287le_alt > $o) > nat > $o) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_518, type, sK353: (((nat > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_519, type, sK354: (((nat > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_520, type, sK355: (($o > nat) > $o)).
% 2.20/0.83 thf(func_def_521, type, sK356: (($o > nat) > $o)).
% 2.20/0.83 thf(func_def_522, type, sK357: ((nat > product_unit) > (nat > product_unit > $o) > (nat > $o) > nat)).
% 2.20/0.83 thf(func_def_523, type, sK358: ((nat > nat > $o) > nat)).
% 2.20/0.83 thf(func_def_524, type, sK359: ((nat > nat > $o) > nat)).
% 2.20/0.83 thf(func_def_525, type, sK360: (((arrow_1196572341e_indi > $o) > nat) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_526, type, sK361: (((arrow_1196572341e_indi > $o) > nat) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_527, type, sK362: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_528, type, sK363: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_529, type, sK364: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_530, type, sK365: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_531, type, sK366: ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > arrow_1389031998le_alt > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > arrow_1389031998le_alt > arrow_1196572341e_indi)).
% 2.20/0.83 thf(func_def_532, type, sK367: (((arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o)).
% 2.20/0.83 thf(func_def_533, type, sK368: (((arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o)).
% 2.20/0.83 thf(func_def_534, type, sK369: (((nat > $o) > (produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_535, type, sK370: (((nat > $o) > (produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_536, type, sK371: (((nat > $o) > product_unit > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_537, type, sK372: (((nat > $o) > product_unit > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_538, type, sK373: (nat > nat > nat)).
% 2.20/0.83 thf(func_def_539, type, sK374: (((produc1572197287le_alt > $o) > nat) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_540, type, sK375: (((produc1572197287le_alt > $o) > nat) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_541, type, sK376: ((product_unit > produc1572197287le_alt > $o) > (product_unit > $o) > (product_unit > produc1572197287le_alt) > product_unit)).
% 2.20/0.83 thf(func_def_542, type, sK377: (nat > nat)).
% 2.20/0.83 thf(func_def_543, type, sK378: (produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_544, type, sK379: (((nat > $o) > (produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_545, type, sK380: (((nat > $o) > (produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_546, type, sK381: ((((produc1572197287le_alt > $o) > $o) > nat) > (produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_547, type, sK382: ((((produc1572197287le_alt > $o) > $o) > nat) > (produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_548, type, sK383: (((nat > $o) > nat > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_549, type, sK384: (((nat > $o) > nat > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_550, type, sK385: ((produc1572197287le_alt > $o) > (produc1572197287le_alt > $o) > arrow_1389031998le_alt)).
% 2.20/0.83 thf(func_def_551, type, sK386: ((produc1572197287le_alt > $o) > (produc1572197287le_alt > $o) > arrow_1389031998le_alt)).
% 2.20/0.83 thf(func_def_552, type, sK387: ((nat > arrow_1196572341e_indi > $o) > nat)).
% 2.20/0.83 thf(func_def_553, type, sK388: ((nat > arrow_1196572341e_indi > $o) > nat)).
% 2.20/0.83 thf(func_def_554, type, sK389: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_555, type, sK390: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_556, type, sK391: ((nat > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_557, type, sK392: ((nat > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_558, type, sK393: (nat > nat)).
% 2.20/0.83 thf(func_def_559, type, sK394: (nat > (nat > $o) > nat)).
% 2.20/0.83 thf(func_def_560, type, sK395: (nat > (nat > $o) > nat)).
% 2.20/0.83 thf(func_def_561, type, sK396: ((product_unit > produc1572197287le_alt > $o) > (product_unit > $o) > (product_unit > (produc1572197287le_alt > $o) > $o) > product_unit)).
% 2.20/0.83 thf(func_def_562, type, sK397: (($o > $o) > ($o > produc1572197287le_alt) > ($o > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_563, type, sK398: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_564, type, sK399: ((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_565, type, sK400: ((nat > nat > $o) > nat)).
% 2.20/0.83 thf(func_def_566, type, sK401: ((nat > nat > $o) > nat)).
% 2.20/0.83 thf(func_def_567, type, sK402: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > product_unit) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > product_unit > $o) > arrow_1196572341e_indi > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_568, type, sK403: ((nat > nat) > (nat > nat) > nat)).
% 2.20/0.83 thf(func_def_569, type, sK404: (((produc1572197287le_alt > $o) > product_unit > $o) > ((produc1572197287le_alt > $o) > $o) > ((produc1572197287le_alt > $o) > product_unit) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_570, type, sK405: (((produc1572197287le_alt > $o) > $o) > ((produc1572197287le_alt > $o) > $o) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_571, type, sK406: (((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_572, type, sK407: (((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_573, type, sK408: ((nat > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_574, type, sK409: ((nat > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_575, type, sK410: (((nat > $o) > product_unit > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_576, type, sK411: (((nat > $o) > product_unit > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_577, type, sK412: (((nat > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_578, type, sK413: (((nat > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_579, type, sK414: ((nat > nat > $o) > nat)).
% 2.20/0.83 thf(func_def_580, type, sK415: ((nat > nat > $o) > nat)).
% 2.20/0.83 thf(func_def_581, type, sK416: (((arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o)).
% 2.20/0.83 thf(func_def_582, type, sK417: (((arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o)).
% 2.20/0.83 thf(func_def_583, type, sK418: ((produc1572197287le_alt > $o) > (produc1572197287le_alt > $o) > produc1572197287le_alt)).
% 2.20/0.83 thf(func_def_584, type, sK419: ((nat > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_585, type, sK420: ((nat > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_586, type, sK421: (((nat > $o) > produc1572197287le_alt > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_587, type, sK422: (((nat > $o) > produc1572197287le_alt > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_588, type, sK423: ((arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > (arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > arrow_1389031998le_alt)).
% 2.20/0.83 thf(func_def_589, type, sK424: ((nat > (produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_590, type, sK425: ((nat > (produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_591, type, sK426: (((arrow_1196572341e_indi > $o) > nat > $o) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_592, type, sK427: (((arrow_1196572341e_indi > $o) > nat > $o) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_593, type, sK428: (((product_unit > $o) > nat) > product_unit > $o)).
% 2.20/0.83 thf(func_def_594, type, sK429: (((product_unit > $o) > nat) > product_unit > $o)).
% 2.20/0.83 thf(func_def_595, type, sK430: ((nat > $o) > nat)).
% 2.20/0.83 thf(func_def_596, type, sK431: ((nat > $o) > nat)).
% 2.20/0.83 thf(func_def_597, type, sK432: ((nat > nat) > nat)).
% 2.20/0.83 thf(func_def_598, type, sK433: ((nat > nat) > nat)).
% 2.20/0.83 thf(func_def_599, type, sK434: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > (produc1572197287le_alt > $o) > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > arrow_1196572341e_indi > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_600, type, sK435: ((nat > $o) > nat > nat)).
% 2.20/0.83 thf(func_def_601, type, sK436: ((nat > $o) > nat > nat)).
% 2.20/0.83 thf(func_def_602, type, sK437: (((product_unit > $o) > nat) > product_unit > $o)).
% 2.20/0.83 thf(func_def_603, type, sK438: (((product_unit > $o) > nat) > product_unit > $o)).
% 2.20/0.83 thf(func_def_604, type, sK439: (((product_unit > $o) > nat) > product_unit > $o)).
% 2.20/0.83 thf(func_def_605, type, sK440: (((product_unit > $o) > nat) > product_unit > $o)).
% 2.20/0.83 thf(func_def_606, type, sK441: (((nat > $o) > nat) > nat > $o)).
% 2.20/0.83 thf(func_def_607, type, sK442: (((nat > $o) > nat) > nat > $o)).
% 2.20/0.83 thf(func_def_608, type, sK443: (((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_609, type, sK444: (((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_610, type, sK445: (((nat > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_611, type, sK446: (((nat > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_612, type, sK447: (arrow_1196572341e_indi > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > arrow_1196572341e_indi > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_613, type, sK448: (((product_unit > $o) > nat) > product_unit > $o)).
% 2.20/0.83 thf(func_def_614, type, sK449: (((product_unit > $o) > nat) > product_unit > $o)).
% 2.20/0.83 thf(func_def_615, type, sK450: (nat > (nat > $o) > nat)).
% 2.20/0.83 thf(func_def_616, type, sK451: ((arrow_1196572341e_indi > nat) > (arrow_1196572341e_indi > nat > $o) > (arrow_1196572341e_indi > $o) > arrow_1196572341e_indi)).
% 2.20/0.83 thf(func_def_617, type, sK452: ((nat > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_618, type, sK453: ((nat > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_619, type, sK454: ((nat > (produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_620, type, sK455: ((nat > (produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_621, type, sK456: ((nat > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_622, type, sK457: ((nat > arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat)).
% 2.20/0.83 thf(func_def_623, type, sK458: (nat > (nat > $o) > nat)).
% 2.20/0.83 thf(func_def_624, type, sK459: (nat > (nat > $o) > nat)).
% 2.20/0.83 thf(func_def_625, type, sK460: (((produc1572197287le_alt > $o) > $o) > ((produc1572197287le_alt > $o) > $o) > ((produc1572197287le_alt > $o) > $o > $o) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_626, type, sK461: ((((produc1572197287le_alt > $o) > $o) > nat) > (produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_627, type, sK462: ((((produc1572197287le_alt > $o) > $o) > nat) > (produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_628, type, sK463: (($o > nat > $o) > $o)).
% 2.20/0.83 thf(func_def_629, type, sK464: (($o > nat > $o) > $o)).
% 2.20/0.83 thf(func_def_630, type, sK465: (((arrow_1196572341e_indi > $o) > nat) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_631, type, sK466: (((arrow_1196572341e_indi > $o) > nat) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_632, type, sK467: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > arrow_1196572341e_indi > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_633, type, sK468: (((produc1572197287le_alt > $o) > nat > $o) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_634, type, sK469: (((produc1572197287le_alt > $o) > nat > $o) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_635, type, sK470: (($o > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > ($o > arrow_1196572341e_indi > produc1572197287le_alt > $o) > ($o > $o) > $o)).
% 2.20/0.83 thf(func_def_636, type, sK471: nat).
% 2.20/0.83 thf(func_def_637, type, sK472: ((nat > arrow_1196572341e_indi > $o) > nat)).
% 2.20/0.83 thf(func_def_638, type, sK473: ((nat > arrow_1196572341e_indi > $o) > nat)).
% 2.20/0.83 thf(func_def_639, type, sK474: (nat > (nat > $o) > nat)).
% 2.20/0.83 thf(func_def_640, type, sK475: ((nat > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_641, type, sK476: ((nat > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_642, type, sK477: (nat > nat)).
% 2.20/0.83 thf(func_def_643, type, sK478: (((arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o)).
% 2.20/0.83 thf(func_def_644, type, sK479: (((arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > nat) > arrow_1389031998le_alt > arrow_1389031998le_alt > $o)).
% 2.20/0.83 thf(func_def_645, type, sK480: ((nat > $o) > nat)).
% 2.20/0.83 thf(func_def_646, type, sK481: ((nat > $o) > nat)).
% 2.20/0.83 thf(func_def_647, type, sK482: ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > arrow_1389031998le_alt > arrow_1196572341e_indi)).
% 2.20/0.83 thf(func_def_648, type, sK483: ((nat > $o) > nat)).
% 2.20/0.83 thf(func_def_649, type, sK484: ((nat > $o) > nat)).
% 2.20/0.83 thf(func_def_650, type, sK485: (((nat > $o) > (produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_651, type, sK486: (((nat > $o) > (produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_652, type, sK487: (((arrow_1196572341e_indi > $o) > nat) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_653, type, sK488: (((arrow_1196572341e_indi > $o) > nat) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_654, type, sK489: ((produc1572197287le_alt > $o) > arrow_1389031998le_alt)).
% 2.20/0.83 thf(func_def_655, type, sK490: ((produc1572197287le_alt > $o) > arrow_1389031998le_alt)).
% 2.20/0.83 thf(func_def_656, type, sK491: (((arrow_1196572341e_indi > $o) > nat > $o) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_657, type, sK492: (((arrow_1196572341e_indi > $o) > nat > $o) > arrow_1196572341e_indi > $o)).
% 2.20/0.83 thf(func_def_658, type, sK493: ((nat > $o) > nat > nat)).
% 2.20/0.83 thf(func_def_659, type, sK494: (($o > $o) > ($o > (produc1572197287le_alt > $o) > $o) > ($o > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_660, type, sK495: (((produc1572197287le_alt > $o) > nat) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_661, type, sK496: (((produc1572197287le_alt > $o) > nat) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_662, type, sK497: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > arrow_1196572341e_indi > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_663, type, sK498: ((nat > (produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_664, type, sK499: ((nat > (produc1572197287le_alt > $o) > $o) > nat)).
% 2.20/0.83 thf(func_def_665, type, sK500: ((arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > (arrow_1389031998le_alt > arrow_1389031998le_alt > $o) > arrow_1389031998le_alt)).
% 2.20/0.83 thf(func_def_666, type, sK501: (((nat > $o) > product_unit > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_667, type, sK502: (((nat > $o) > product_unit > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_668, type, sK503: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > arrow_1196572341e_indi > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_669, type, sK504: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > arrow_1196572341e_indi > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_670, type, sK505: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > arrow_1389031998le_alt)).
% 2.20/0.83 thf(func_def_671, type, sK506: (((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > arrow_1389031998le_alt)).
% 2.20/0.83 thf(func_def_672, type, sK507: (arrow_1389031998le_alt > arrow_1389031998le_alt > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > arrow_1196572341e_indi)).
% 2.20/0.83 thf(func_def_673, type, sK508: (((nat > $o) > nat > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_674, type, sK509: (((nat > $o) > nat > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_675, type, sK510: ((produc1572197287le_alt > $o) > (produc1572197287le_alt > $o) > produc1572197287le_alt)).
% 2.20/0.83 thf(func_def_676, type, sK511: ((nat > arrow_1196572341e_indi) > (arrow_1196572341e_indi > nat) > nat)).
% 2.20/0.83 thf(func_def_677, type, sK512: (((produc1572197287le_alt > $o) > arrow_1196572341e_indi) > ((produc1572197287le_alt > $o) > arrow_1196572341e_indi > $o) > ((produc1572197287le_alt > $o) > $o) > produc1572197287le_alt > $o)).
% 2.20/0.83 thf(func_def_678, type, sK513: ((nat > nat) > (nat > $o) > nat)).
% 2.20/0.83 thf(func_def_679, type, sK514: ((nat > nat) > (nat > $o) > nat)).
% 2.20/0.83 thf(func_def_680, type, sK515: ((nat > $o) > nat)).
% 2.20/0.83 thf(func_def_681, type, sK516: (((nat > $o) > (produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_682, type, sK517: (((nat > $o) > (produc1572197287le_alt > $o) > $o) > nat > $o)).
% 2.20/0.83 thf(func_def_683, type, sK518: ((arrow_1196572341e_indi > produc1572197287le_alt) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > (arrow_1196572341e_indi > $o) > arrow_1196572341e_indi)).
% 2.20/0.83 thf(func_def_684, type, sK519: (((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_685, type, sK520: (((((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o) > nat) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > produc1572197287le_alt > $o) > $o)).
% 2.20/0.83 thf(func_def_686, type, vNOT: ($o > $o)).
% 2.20/0.83 thf(f14,axiom,(
% 2.20/0.83 (member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ (^[X0 : arrow_1196572341e_indi] : ((if_Pro278423000_alt_o @ (ord_less_nat @ (h @ X0) @ n) @ (arrow_1970123222_mktop @ (p @ X0) @ e) @ (if_Pro278423000_alt_o @ (((h @ X0)) = n) @ (arrow_556571452_above @ (p @ X0) @ c @ e) @ (arrow_1821416136_mkbot @ (p @ X0) @ e)))))))),
% 2.20/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto)).
% 2.20/0.83 thf(f15,axiom,(
% 2.20/0.83 (member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ (^[X0 : arrow_1196572341e_indi] : ((if_Pro278423000_alt_o @ (ord_less_nat @ (h @ X0) @ n) @ (arrow_1970123222_mktop @ (p @ X0) @ e) @ (if_Pro278423000_alt_o @ (((h @ X0)) = n) @ (arrow_556571452_above @ (p @ X0) @ c @ e) @ (arrow_1821416136_mkbot @ (p @ X0) @ e))))))) <=> (member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ p))),
% 2.20/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_PW)).
% 2.20/0.83 thf(f1204,conjecture,(
% 2.20/0.83 (member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ p))),
% 2.20/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 2.20/0.83 thf(f1205,negated_conjecture,(
% 2.20/0.83 ~(member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ p))),
% 2.20/0.83 inference(negated_conjecture,[status(cth)],[f1204])).
% 2.20/0.83 thf(f1642,plain,(
% 2.20/0.83 ~(member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ p))),
% 2.20/0.83 inference(rectify,[],[f1205])).
% 2.20/0.83 thf(f1643,plain,(
% 2.20/0.83 ~ (((member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ p))) = $true)),
% 2.20/0.83 inference(fool_elimination,[],[f1642])).
% 2.20/0.83 thf(f2508,plain,(
% 2.20/0.83 (member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ (^[X0 : arrow_1196572341e_indi] : ((if_Pro278423000_alt_o @ (ord_less_nat @ (h @ X0) @ n) @ (arrow_1970123222_mktop @ (p @ X0) @ e) @ (if_Pro278423000_alt_o @ (((h @ X0)) = n) @ (arrow_556571452_above @ (p @ X0) @ c @ e) @ (arrow_1821416136_mkbot @ (p @ X0) @ e)))))))),
% 2.20/0.83 inference(rectify,[],[f14])).
% 2.20/0.83 thf(f2509,plain,(
% 2.20/0.83 (((member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1196572341e_indi]: (if_Pro278423000_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_1970123222_mktop @ (p @ Y0) @ e) @ (if_Pro278423000_alt_o @ ((h @ Y0) = n) @ (arrow_556571452_above @ (p @ Y0) @ c @ e) @ (arrow_1821416136_mkbot @ (p @ Y0) @ e))))))) = $true)),
% 2.20/0.83 inference(fool_elimination,[],[f2508])).
% 2.20/0.83 thf(f3355,plain,(
% 2.20/0.83 (member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ (^[X0 : arrow_1196572341e_indi] : ((if_Pro278423000_alt_o @ (ord_less_nat @ (h @ X0) @ n) @ (arrow_1970123222_mktop @ (p @ X0) @ e) @ (if_Pro278423000_alt_o @ (((h @ X0)) = n) @ (arrow_556571452_above @ (p @ X0) @ c @ e) @ (arrow_1821416136_mkbot @ (p @ X0) @ e))))))) <=> (member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ p))),
% 2.20/0.83 inference(rectify,[],[f15])).
% 2.20/0.83 thf(f3356,plain,(
% 2.20/0.83 (((member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ p))) = ((member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1196572341e_indi]: (if_Pro278423000_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_1970123222_mktop @ (p @ Y0) @ e) @ (if_Pro278423000_alt_o @ ((h @ Y0) = n) @ (arrow_556571452_above @ (p @ Y0) @ c @ e) @ (arrow_1821416136_mkbot @ (p @ Y0) @ e))))))))),
% 2.20/0.83 inference(fool_elimination,[],[f3355])).
% 2.20/0.83 thf(f3486,plain,(
% 2.20/0.83 (((member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ p))) != $true)),
% 2.20/0.83 inference(flattening,[],[f1643])).
% 2.20/0.83 thf(f7090,plain,(
% 2.20/0.83 (((member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ p))) = ((member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1196572341e_indi]: (if_Pro278423000_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_1970123222_mktop @ (p @ Y0) @ e) @ (if_Pro278423000_alt_o @ ((h @ Y0) = n) @ (arrow_556571452_above @ (p @ Y0) @ c @ e) @ (arrow_1821416136_mkbot @ (p @ Y0) @ e))))))))),
% 2.20/0.83 inference(cnf_transformation,[],[f3356])).
% 2.20/0.83 thf(f7974,plain,(
% 2.20/0.83 (((member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1196572341e_indi]: (if_Pro278423000_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_1970123222_mktop @ (p @ Y0) @ e) @ (if_Pro278423000_alt_o @ ((h @ Y0) = n) @ (arrow_556571452_above @ (p @ Y0) @ c @ e) @ (arrow_1821416136_mkbot @ (p @ Y0) @ e))))))) = $true)),
% 2.20/0.83 inference(cnf_transformation,[],[f2509])).
% 2.20/0.83 thf(f8130,plain,(
% 2.20/0.83 (((member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ p))) != $true)),
% 2.20/0.83 inference(cnf_transformation,[],[f3486])).
% 2.20/0.83 thf(f8591,plain,(
% 2.20/0.83 (((member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ p))) = $true) | ($false = ((member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1196572341e_indi]: (if_Pro278423000_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_1970123222_mktop @ (p @ Y0) @ e) @ (if_Pro278423000_alt_o @ ((h @ Y0) = n) @ (arrow_556571452_above @ (p @ Y0) @ c @ e) @ (arrow_1821416136_mkbot @ (p @ Y0) @ e))))))))),
% 2.20/0.83 inference(iff_proxy_clausification,[],[f7090])).
% 2.20/0.83 thf(f8777,definition,(
% 2.20/0.83 spl521_14 <=> (top_top_o = $true)),
% 2.20/0.83 introduced(definition,[new_symbols(definition,[spl521_14])],[avatar_definition])).
% 2.20/0.83 thf(f8778,plain,(
% 2.20/0.83 (top_top_o != $true) | spl521_14),
% 2.20/0.83 inference(avatar_component_clause,[],[f8777])).
% 2.20/0.83 thf(f8779,plain,(
% 2.20/0.83 (top_top_o = $true) | ~spl521_14),
% 2.20/0.83 inference(avatar_component_clause,[],[f8777])).
% 2.20/0.83 thf(f8788,definition,(
% 2.20/0.83 spl521_17 <=> (top_top_o = $false)),
% 2.20/0.83 introduced(definition,[new_symbols(definition,[spl521_17])],[avatar_definition])).
% 2.20/0.83 thf(f8790,plain,(
% 2.20/0.83 (top_top_o = $false) | ~spl521_17),
% 2.20/0.83 inference(avatar_component_clause,[],[f8788])).
% 2.20/0.83 thf(f8793,definition,(
% 2.20/0.83 spl521_18 <=> (((member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ p))) = $true)),
% 2.20/0.83 introduced(definition,[new_symbols(definition,[spl521_18])],[avatar_definition])).
% 2.20/0.83 thf(f8796,plain,(
% 2.20/0.83 ~spl521_18),
% 2.20/0.83 inference(avatar_split_clause,[],[f8130,f8793])).
% 2.20/0.83 thf(f8907,definition,(
% 2.20/0.83 spl521_43 <=> (((member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1196572341e_indi]: (if_Pro278423000_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_1970123222_mktop @ (p @ Y0) @ e) @ (if_Pro278423000_alt_o @ ((h @ Y0) = n) @ (arrow_556571452_above @ (p @ Y0) @ c @ e) @ (arrow_1821416136_mkbot @ (p @ Y0) @ e))))))) = $true)),
% 2.20/0.83 introduced(definition,[new_symbols(definition,[spl521_43])],[avatar_definition])).
% 2.20/0.83 thf(f8916,definition,(
% 2.20/0.83 spl521_45 <=> ($false = ((member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1196572341e_indi]: (if_Pro278423000_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_1970123222_mktop @ (p @ Y0) @ e) @ (if_Pro278423000_alt_o @ ((h @ Y0) = n) @ (arrow_556571452_above @ (p @ Y0) @ c @ e) @ (arrow_1821416136_mkbot @ (p @ Y0) @ e))))))))),
% 2.20/0.83 introduced(definition,[new_symbols(definition,[spl521_45])],[avatar_definition])).
% 2.20/0.83 thf(f8919,plain,(
% 2.20/0.83 spl521_18 | spl521_45),
% 2.20/0.83 inference(avatar_split_clause,[],[f8591,f8916,f8793])).
% 2.20/0.83 thf(f9215,plain,(
% 2.20/0.83 spl521_43),
% 2.20/0.83 inference(avatar_split_clause,[],[f7974,f8907])).
% 2.20/0.83 thf(f9307,plain,(
% 2.20/0.83 ($false = $true) | (~spl521_14 | ~spl521_17)),
% 2.20/0.83 inference(superposition,[],[f8790,f8779])).
% 2.20/0.83 thf(f9309,plain,(
% 2.20/0.83 $false | (~spl521_14 | ~spl521_17)),
% 2.20/0.83 inference(trivial_inequality_removal,[],[f9307])).
% 2.20/0.83 thf(f9310,plain,(
% 2.20/0.83 ~spl521_14 | ~spl521_17),
% 2.20/0.83 inference(avatar_contradiction_clause,[],[f9309])).
% 2.20/0.83 thf(f9313,definition,(
% 2.20/0.83 (top_top_o != $false) | ($false != ((member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1196572341e_indi]: (if_Pro278423000_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_1970123222_mktop @ (p @ Y0) @ e) @ (if_Pro278423000_alt_o @ ((h @ Y0) = n) @ (arrow_556571452_above @ (p @ Y0) @ c @ e) @ (arrow_1821416136_mkbot @ (p @ Y0) @ e)))))))) | (((member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1196572341e_indi]: (if_Pro278423000_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_1970123222_mktop @ (p @ Y0) @ e) @ (if_Pro278423000_alt_o @ ((h @ Y0) = n) @ (arrow_556571452_above @ (p @ Y0) @ c @ e) @ (arrow_1821416136_mkbot @ (p @ Y0) @ e))))))) != $true) | (top_top_o = $true)),
% 2.20/0.83 introduced(theory,[theory_tautology_sat_conflict])).
% 2.20/0.83 thf(f9324,plain,(
% 2.20/0.83 ($true != $true) | (top_top_o = $false) | spl521_14),
% 2.20/0.83 inference(fool_paramodulation,[],[f8778])).
% 2.20/0.83 thf(f9325,plain,(
% 2.20/0.83 (top_top_o = $false) | spl521_14),
% 2.20/0.83 inference(trivial_inequality_removal,[],[f9324])).
% 2.20/0.83 thf(f9326,plain,(
% 2.20/0.83 spl521_17 | spl521_14),
% 2.20/0.83 inference(avatar_split_clause,[],[f9325,f8777,f8788])).
% 2.20/0.83 thf(f9327,definition,(
% 2.20/0.83 ($false != ((member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1196572341e_indi]: (if_Pro278423000_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_1970123222_mktop @ (p @ Y0) @ e) @ (if_Pro278423000_alt_o @ ((h @ Y0) = n) @ (arrow_556571452_above @ (p @ Y0) @ c @ e) @ (arrow_1821416136_mkbot @ (p @ Y0) @ e)))))))) | (((member285112084le_alt @ (produc897867031le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1196572341e_indi]: (if_Pro278423000_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_1970123222_mktop @ (p @ Y0) @ e) @ (if_Pro278423000_alt_o @ ((h @ Y0) = n) @ (arrow_556571452_above @ (p @ Y0) @ c @ e) @ (arrow_1821416136_mkbot @ (p @ Y0) @ e))))))) != $true) | (top_top_o != $true) | (top_top_o = $false)),
% 2.20/0.83 introduced(theory,[theory_tautology_sat_conflict])).
% 2.20/0.83 cnf(s15, plain, ~spl521_18, inference(sat_conversion,[],[f8796])).
% 2.20/0.83 cnf(s37, plain, spl521_18 | spl521_45, inference(sat_conversion,[],[f8919])).
% 2.20/0.83 cnf(s120, plain, spl521_43, inference(sat_conversion,[],[f9215])).
% 2.20/0.83 cnf(s140, plain, ~spl521_14 | ~spl521_17, inference(sat_conversion,[],[f9310])).
% 2.20/0.83 cnf(s142, plain, spl521_14 | ~spl521_17 | ~spl521_43 | ~spl521_45, inference(sat_conversion,[],[f9313])).
% 2.20/0.83 cnf(s145, plain, spl521_14 | spl521_17, inference(sat_conversion,[],[f9326])).
% 2.20/0.83 cnf(s146, plain, ~spl521_14 | spl521_17 | ~spl521_43 | ~spl521_45, inference(sat_conversion,[],[f9327])).
% 2.20/0.83 cnf(s151, plain, spl521_45, inference(rat,[],[s37,s15])).
% 2.20/0.83 cnf(s153, plain, spl521_14, inference(rat,[],[s142,s145,s120,s151])).
% 2.20/0.83 cnf(s154, plain, spl521_17, inference(rat,[],[s146,s151,s120,s153])).
% 2.20/0.83 cnf(s155, plain, $false, inference(rat,[],[s140,s154,s153])).
% 2.20/0.83 thf(f9328,plain,(
% 2.20/0.83 $false),
% 2.20/0.83 inference(avatar_sat_refutation,[],[s155])).
% 2.20/0.83 % SZS output end Proof for theBenchmark
% 2.20/0.83 % (92610)------------------------------
% 2.20/0.83 % (92610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.83 % (92610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.83 % (92610)CaDiCaL version: 2.1.3
% 2.20/0.83 % (92610)Termination reason: Refutation
% 2.20/0.83 % (92610)Time elapsed: 0.279 s
% 2.20/0.83 % (92610)Peak memory usage: 20 MB
% 2.20/0.83 % (92610)Instructions burned: 617 (million)
% 2.20/0.83 % (92602)Success in time 0.386 s
% 2.20/0.83 % Vampire exiting
%------------------------------------------------------------------------------