%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO875^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 08:48:31 AM UTC 2026
% Result : Theorem 180.16s 26.08s
% Output : Refutation 181.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO875^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.24 % Computer : n019.cluster.edu
% 0.11/0.24 % Model : x86_64 x86_64
% 0.11/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.24 % Memory : 8046.5625MB
% 0.11/0.24 % OS : Linux 6.8.0-71-generic
% 0.11/0.24 % CPULimit : 300
% 0.11/0.24 % WCLimit : 300
% 0.11/0.24 % DateTime : Tue Sep 29 17:23:03 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.30 Running higher-order theorem proving
% 0.25/0.34 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.12/0.52 % (1105870)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.12/0.52 % (1105880)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2198247215:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.12/0.52 % (1105882)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.12/0.52 % (1105882)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
% 1.12/0.52 % (1105880)Instruction limit reached!
% 1.12/0.52 % (1105880)------------------------------
% 1.12/0.52 % (1105880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.52 % (1105880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.52 % (1105880)CaDiCaL version: 2.1.3
% 1.12/0.52 % (1105880)Termination reason: Instruction limit
% 1.12/0.52 % (1105880)Termination phase: Preprocessing 2
% 1.12/0.52 % (1105880)Time elapsed: 0.011 s
% 1.12/0.52 % (1105880)Peak memory usage: 10 MB
% 1.12/0.52 % (1105880)Instructions burned: 25 (million)
% 1.12/0.52 % (1105877)lrs+10_16_si=on:nwc=1.5:random_seed=3694563227:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.12/0.52 % (1105876)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1134026156:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.12/0.52 % (1105878)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2320696236:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.12/0.52 % (1105879)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=487838984: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)
% 1.12/0.52 % (1105882)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=2317229742:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.12/0.52 % (1105881)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3124328022:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.12/0.52 % (1105878)Instruction limit reached!
% 1.12/0.52 % (1105878)------------------------------
% 1.12/0.52 % (1105878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.52 % (1105878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.52 % (1105878)CaDiCaL version: 2.1.3
% 1.12/0.52 % (1105878)Termination reason: Instruction limit
% 1.12/0.52 % (1105878)Termination phase: shuffling
% 1.12/0.52 % (1105878)Time elapsed: 0.003 s
% 1.12/0.52 % (1105878)Peak memory usage: 10 MB
% 1.12/0.52 % (1105878)Instructions burned: 3 (million)
% 1.12/0.52 % (1105877)Instruction limit reached!
% 1.12/0.52 % (1105877)------------------------------
% 1.12/0.52 % (1105877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.52 % (1105877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.52 % (1105877)CaDiCaL version: 2.1.3
% 1.12/0.52 % (1105877)Termination reason: Instruction limit
% 1.12/0.52 % (1105877)Termination phase: Property scanning
% 1.12/0.52 % (1105877)Time elapsed: 0.015 s
% 1.12/0.52 % (1105877)Peak memory usage: 10 MB
% 1.12/0.52 % (1105877)Instructions burned: 18 (million)
% 1.12/0.52 % (1105889)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4088724612:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.12/0.52 % (1105889)Instruction limit reached!
% 1.12/0.52 % (1105889)------------------------------
% 1.12/0.52 % (1105889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.52 % (1105889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.52 % (1105889)CaDiCaL version: 2.1.3
% 1.12/0.52 % (1105889)Termination reason: Instruction limit
% 1.12/0.52 % (1105889)Termination phase: shuffling
% 1.12/0.52 % (1105889)Time elapsed: 0.002 s
% 1.12/0.52 % (1105889)Peak memory usage: 10 MB
% 1.12/0.52 % (1105889)Instructions burned: 4 (million)
% 1.12/0.52 % (1105898)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.12/0.56 % (1105896)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2452422564:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.12/0.56 % (1105898)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=224971324:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.12/0.56 % (1105896)Instruction limit reached!
% 1.12/0.56 % (1105896)------------------------------
% 1.12/0.56 % (1105896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.56 % (1105896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.56 % (1105896)CaDiCaL version: 2.1.3
% 1.12/0.56 % (1105896)Termination reason: Instruction limit
% 1.12/0.56 % (1105896)Termination phase: shuffling
% 1.12/0.56 % (1105896)Time elapsed: 0.005 s
% 1.12/0.56 % (1105896)Peak memory usage: 10 MB
% 1.12/0.56 % (1105896)Instructions burned: 5 (million)
% 1.12/0.56 % (1105898)Instruction limit reached!
% 1.12/0.56 % (1105898)------------------------------
% 1.12/0.56 % (1105898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.56 % (1105898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.56 % (1105898)CaDiCaL version: 2.1.3
% 1.12/0.56 % (1105898)Termination reason: Instruction limit
% 1.12/0.56 % (1105898)Termination phase: shuffling
% 1.12/0.56 % (1105898)Time elapsed: 0.004 s
% 1.12/0.56 % (1105898)Peak memory usage: 10 MB
% 1.12/0.56 % (1105898)Instructions burned: 8 (million)
% 1.12/0.56 % (1105899)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2152201362:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.12/0.56 % (1105881)Instruction limit reached!
% 1.12/0.56 % (1105881)------------------------------
% 1.12/0.56 % (1105881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.56 % (1105881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.56 % (1105881)CaDiCaL version: 2.1.3
% 1.12/0.56 % (1105881)Termination reason: Instruction limit
% 1.12/0.56 % (1105881)Termination phase: Function definition elimination
% 1.12/0.56 % (1105881)Time elapsed: 0.055 s
% 1.12/0.56 % (1105881)Peak memory usage: 11 MB
% 1.12/0.56 % (1105881)Instructions burned: 76 (million)
% 1.12/0.56 % (1105899)Instruction limit reached!
% 1.12/0.56 % (1105899)------------------------------
% 1.12/0.56 % (1105899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.56 % (1105899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.56 % (1105899)CaDiCaL version: 2.1.3
% 1.12/0.56 % (1105899)Termination reason: Instruction limit
% 1.12/0.56 % (1105899)Termination phase: shuffling
% 1.12/0.56 % (1105899)Time elapsed: 0.007 s
% 1.12/0.56 % (1105899)Peak memory usage: 10 MB
% 1.12/0.56 % (1105899)Instructions burned: 12 (million)
% 1.12/0.56 % (1105904)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
% 1.12/0.56 % (1105904)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.12/0.56 % (1105904)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4115149870:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.12/0.56 % (1105876)Instruction limit reached!
% 1.12/0.56 % (1105876)------------------------------
% 1.12/0.56 % (1105876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.56 % (1105876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.56 % (1105876)CaDiCaL version: 2.1.3
% 1.12/0.56 % (1105876)Termination reason: Instruction limit
% 1.12/0.56 % (1105876)Termination phase: Property scanning
% 1.12/0.56 % (1105876)Time elapsed: 0.066 s
% 1.12/0.56 % (1105876)Peak memory usage: 11 MB
% 1.12/0.56 % (1105876)Instructions burned: 91 (million)
% 1.12/0.56 % (1105905)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=2507398779:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.12/0.56 % (1105904)Instruction limit reached!
% 1.12/0.56 % (1105904)------------------------------
% 1.12/0.56 % (1105904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.62 % (1105904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.62 % (1105904)CaDiCaL version: 2.1.3
% 1.79/0.62 % (1105904)Termination reason: Instruction limit
% 1.79/0.62 % (1105904)Termination phase: Property scanning
% 1.79/0.62 % (1105904)Time elapsed: 0.013 s
% 1.79/0.62 % (1105904)Peak memory usage: 10 MB
% 1.79/0.62 % (1105904)Instructions burned: 30 (million)
% 1.79/0.62 % (1105908)lrs+10_1_si=on:cs=on:random_seed=2393011022:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.79/0.62 % (1105908)Instruction limit reached!
% 1.79/0.62 % (1105908)------------------------------
% 1.79/0.62 % (1105908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.62 % (1105908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.62 % (1105908)CaDiCaL version: 2.1.3
% 1.79/0.62 % (1105908)Termination reason: Instruction limit
% 1.79/0.62 % (1105908)Termination phase: shuffling
% 1.79/0.62 % (1105908)Time elapsed: 0.004 s
% 1.79/0.62 % (1105908)Peak memory usage: 10 MB
% 1.79/0.62 % (1105908)Instructions burned: 8 (million)
% 1.79/0.62 % (1105909)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.79/0.62 % (1105911)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2612195261:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.79/0.62 % (1105909)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=2059294775:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.79/0.62 % (1105909)Instruction limit reached!
% 1.79/0.62 % (1105909)------------------------------
% 1.79/0.62 % (1105909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.62 % (1105909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.62 % (1105909)CaDiCaL version: 2.1.3
% 1.79/0.62 % (1105909)Termination reason: Instruction limit
% 1.79/0.62 % (1105909)Termination phase: shuffling
% 1.79/0.62 % (1105909)Time elapsed: 0.003 s
% 1.79/0.62 % (1105909)Peak memory usage: 10 MB
% 1.79/0.62 % (1105909)Instructions burned: 3 (million)
% 1.79/0.62 % (1105916)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1182525350:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.79/0.62 % (1105914)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3704322833:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.79/0.62 % (1105911)Instruction limit reached!
% 1.79/0.62 % (1105911)------------------------------
% 1.79/0.62 % (1105911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.62 % (1105911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.62 % (1105911)CaDiCaL version: 2.1.3
% 1.79/0.62 % (1105911)Termination reason: Instruction limit
% 1.79/0.62 % (1105911)Termination phase: Saturation
% 1.79/0.62 % (1105911)Time elapsed: 0.022 s
% 1.79/0.62 % (1105911)Peak memory usage: 12 MB
% 1.79/0.62 % (1105911)Instructions burned: 39 (million)
% 1.79/0.62 % (1105882)Instruction limit reached!
% 1.79/0.62 % (1105882)------------------------------
% 1.79/0.62 % (1105882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.62 % (1105882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.62 % (1105882)CaDiCaL version: 2.1.3
% 1.79/0.62 % (1105882)Termination reason: Instruction limit
% 1.79/0.62 % (1105882)Termination phase: Saturation
% 1.79/0.62 % (1105882)Time elapsed: 0.116 s
% 1.79/0.62 % (1105882)Peak memory usage: 12 MB
% 1.79/0.62 % (1105882)Instructions burned: 158 (million)
% 1.79/0.62 % (1105916)Instruction limit reached!
% 1.79/0.62 % (1105916)------------------------------
% 1.79/0.62 % (1105916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.62 % (1105916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.62 % (1105916)CaDiCaL version: 2.1.3
% 1.79/0.62 % (1105916)Termination reason: Instruction limit
% 1.79/0.62 % (1105916)Termination phase: SInE selection
% 1.79/0.62 % (1105916)Time elapsed: 0.011 s
% 1.79/0.62 % (1105916)Peak memory usage: 10 MB
% 1.79/0.62 % (1105916)Instructions burned: 27 (million)
% 1.79/0.62 % (1105919)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2786208397:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.12/0.69 % (1105924)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3557353344: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)
% 2.12/0.69 % (1105922)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=122513268:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.12/0.69 % (1105905)Instruction limit reached!
% 2.12/0.69 % (1105905)------------------------------
% 2.12/0.69 % (1105905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/0.69 % (1105905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.69 % (1105905)CaDiCaL version: 2.1.3
% 2.12/0.69 % (1105905)Termination reason: Instruction limit
% 2.12/0.69 % (1105905)Termination phase: Property scanning
% 2.12/0.69 % (1105905)Time elapsed: 0.063 s
% 2.12/0.69 % (1105905)Peak memory usage: 11 MB
% 2.12/0.69 % (1105905)Instructions burned: 87 (million)
% 2.12/0.69 % (1105924)Instruction limit reached!
% 2.12/0.69 % (1105924)------------------------------
% 2.12/0.69 % (1105924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/0.69 % (1105924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.69 % (1105924)CaDiCaL version: 2.1.3
% 2.12/0.69 % (1105924)Termination reason: Instruction limit
% 2.12/0.69 % (1105924)Termination phase: shuffling
% 2.12/0.69 % (1105924)Time elapsed: 0.001 s
% 2.12/0.69 % (1105924)Peak memory usage: 10 MB
% 2.12/0.69 % (1105924)Instructions burned: 2 (million)
% 2.12/0.69 % (1105919)Instruction limit reached!
% 2.12/0.69 % (1105919)------------------------------
% 2.12/0.69 % (1105919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/0.69 % (1105919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.69 % (1105919)CaDiCaL version: 2.1.3
% 2.12/0.69 % (1105919)Termination reason: Instruction limit
% 2.12/0.69 % (1105919)Termination phase: shuffling
% 2.12/0.69 % (1105919)Time elapsed: 0.012 s
% 2.12/0.69 % (1105919)Peak memory usage: 10 MB
% 2.12/0.69 % (1105919)Instructions burned: 14 (million)
% 2.12/0.69 % (1105923)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=303304046:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.12/0.69 % (1105930)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3684526946:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.12/0.69 % (1105914)Refutation not found, incomplete strategy
% 2.12/0.69 % (1105914)------------------------------
% 2.12/0.69 % (1105914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/0.69 % (1105914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.69 % (1105914)CaDiCaL version: 2.1.3
% 2.12/0.69 % (1105914)Termination reason: Refutation not found, incomplete strategy
% 2.12/0.69 % (1105914)Time elapsed: 0.047 s
% 2.12/0.69 % (1105914)Peak memory usage: 13 MB
% 2.12/0.69 % (1105914)Instructions burned: 55 (million)
% 2.12/0.69 % (1105914)------------------------------
% 2.12/0.69 % (1105914)------------------------------
% 2.12/0.69 % (1105923)Instruction limit reached!
% 2.12/0.69 % (1105923)------------------------------
% 2.12/0.69 % (1105923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/0.69 % (1105923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.69 % (1105923)CaDiCaL version: 2.1.3
% 2.12/0.69 % (1105923)Termination reason: Instruction limit
% 2.12/0.69 % (1105923)Termination phase: shuffling
% 2.12/0.69 % (1105923)Time elapsed: 0.012 s
% 2.12/0.69 % (1105923)Peak memory usage: 10 MB
% 2.12/0.69 % (1105923)Instructions burned: 14 (million)
% 2.12/0.69 % (1105930)Instruction limit reached!
% 2.12/0.69 % (1105930)------------------------------
% 2.12/0.69 % (1105930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/0.69 % (1105930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.69 % (1105930)CaDiCaL version: 2.1.3
% 2.12/0.69 % (1105930)Termination reason: Instruction limit
% 2.12/0.69 % (1105930)Termination phase: Property scanning
% 2.12/0.69 % (1105930)Time elapsed: 0.012 s
% 2.12/0.69 % (1105930)Peak memory usage: 10 MB
% 2.12/0.69 % (1105930)Instructions burned: 28 (million)
% 2.12/0.69 % (1105931)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=596603636:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.35/0.78 % (1105932)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=623340011:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.35/0.78 % (1105936)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
% 2.35/0.78 % (1105936)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.35/0.78 % (1105939)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=301599182:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.35/0.78 % (1105931)Instruction limit reached!
% 2.35/0.78 % (1105931)------------------------------
% 2.35/0.78 % (1105931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.78 % (1105931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.78 % (1105931)CaDiCaL version: 2.1.3
% 2.35/0.78 % (1105931)Termination reason: Instruction limit
% 2.35/0.78 % (1105931)Termination phase: Property scanning
% 2.35/0.78 % (1105931)Time elapsed: 0.019 s
% 2.35/0.78 % (1105931)Peak memory usage: 10 MB
% 2.35/0.78 % (1105931)Instructions burned: 23 (million)
% 2.35/0.78 % (1105937)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.35/0.78 % (1105936)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=550928586:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.35/0.78 % (1105937)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=1359984041:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.35/0.78 % (1105939)Instruction limit reached!
% 2.35/0.78 % (1105939)------------------------------
% 2.35/0.78 % (1105939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.78 % (1105939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.78 % (1105939)CaDiCaL version: 2.1.3
% 2.35/0.78 % (1105939)Termination reason: Instruction limit
% 2.35/0.78 % (1105939)Termination phase: Property scanning
% 2.35/0.78 % (1105939)Time elapsed: 0.013 s
% 2.35/0.78 % (1105939)Peak memory usage: 10 MB
% 2.35/0.78 % (1105939)Instructions burned: 31 (million)
% 2.35/0.78 % (1105937)Instruction limit reached!
% 2.35/0.78 % (1105937)------------------------------
% 2.35/0.78 % (1105937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.78 % (1105937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.78 % (1105937)CaDiCaL version: 2.1.3
% 2.35/0.78 % (1105937)Termination reason: Instruction limit
% 2.35/0.78 % (1105937)Termination phase: shuffling
% 2.35/0.78 % (1105937)Time elapsed: 0.007 s
% 2.35/0.78 % (1105937)Peak memory usage: 10 MB
% 2.35/0.78 % (1105937)Instructions burned: 8 (million)
% 2.35/0.78 % (1105936)Instruction limit reached!
% 2.35/0.78 % (1105936)------------------------------
% 2.35/0.78 % (1105936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.78 % (1105936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.78 % (1105936)CaDiCaL version: 2.1.3
% 2.35/0.78 % (1105936)Termination reason: Instruction limit
% 2.35/0.78 % (1105936)Termination phase: Property scanning
% 2.35/0.78 % (1105936)Time elapsed: 0.012 s
% 2.35/0.78 % (1105936)Peak memory usage: 10 MB
% 2.35/0.78 % (1105936)Instructions burned: 17 (million)
% 2.35/0.78 % (1105946)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=340533166:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.35/0.78 % (1105943)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2976795570:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.35/0.78 % (1105947)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3750729950:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.83/0.89 % (1105946)Instruction limit reached!
% 2.83/0.89 % (1105946)------------------------------
% 2.83/0.89 % (1105946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.89 % (1105946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.89 % (1105946)CaDiCaL version: 2.1.3
% 2.83/0.89 % (1105946)Termination reason: Instruction limit
% 2.83/0.89 % (1105946)Termination phase: Property scanning
% 2.83/0.89 % (1105946)Time elapsed: 0.010 s
% 2.83/0.89 % (1105946)Peak memory usage: 10 MB
% 2.83/0.89 % (1105946)Instructions burned: 24 (million)
% 2.83/0.89 % (1105932)Instruction limit reached!
% 2.83/0.89 % (1105932)------------------------------
% 2.83/0.89 % (1105932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.89 % (1105932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.89 % (1105932)CaDiCaL version: 2.1.3
% 2.83/0.89 % (1105932)Termination reason: Instruction limit
% 2.83/0.89 % (1105932)Termination phase: Saturation
% 2.83/0.89 % (1105932)Time elapsed: 0.051 s
% 2.83/0.89 % (1105932)Peak memory usage: 13 MB
% 2.83/0.89 % (1105932)Instructions burned: 61 (million)
% 2.83/0.89 % (1105943)Instruction limit reached!
% 2.83/0.89 % (1105943)------------------------------
% 2.83/0.89 % (1105943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.89 % (1105943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.89 % (1105943)CaDiCaL version: 2.1.3
% 2.83/0.89 % (1105943)Termination reason: Instruction limit
% 2.83/0.89 % (1105943)Termination phase: shuffling
% 2.83/0.89 % (1105943)Time elapsed: 0.006 s
% 2.83/0.89 % (1105943)Peak memory usage: 10 MB
% 2.83/0.89 % (1105943)Instructions burned: 7 (million)
% 2.83/0.89 % (1105947)Instruction limit reached!
% 2.83/0.89 % (1105947)------------------------------
% 2.83/0.89 % (1105947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.89 % (1105947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.89 % (1105947)CaDiCaL version: 2.1.3
% 2.83/0.89 % (1105947)Termination reason: Instruction limit
% 2.83/0.89 % (1105947)Termination phase: Property scanning
% 2.83/0.89 % (1105947)Time elapsed: 0.012 s
% 2.83/0.89 % (1105947)Peak memory usage: 10 MB
% 2.83/0.89 % (1105947)Instructions burned: 20 (million)
% 2.83/0.89 % (1105948)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=923726847:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.83/0.89 % (1105953)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4237708889:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.83/0.89 % (1105952)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=152772595:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.83/0.89 % (1105956)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.83/0.89 % (1105955)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1893383053:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.83/0.89 % (1105956)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3558347185:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.83/0.89 % (1105956)Instruction limit reached!
% 2.83/0.89 % (1105956)------------------------------
% 2.83/0.89 % (1105956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.89 % (1105956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.89 % (1105956)CaDiCaL version: 2.1.3
% 2.83/0.89 % (1105956)Termination reason: Instruction limit
% 2.83/0.89 % (1105956)Termination phase: shuffling
% 2.83/0.89 % (1105956)Time elapsed: 0.006 s
% 2.83/0.89 % (1105956)Peak memory usage: 10 MB
% 2.83/0.89 % (1105956)Instructions burned: 7 (million)
% 2.83/0.89 % (1105955)Instruction limit reached!
% 2.83/0.89 % (1105955)------------------------------
% 2.83/0.89 % (1105955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.89 % (1105955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.89 % (1105955)CaDiCaL version: 2.1.3
% 2.83/0.89 % (1105955)Termination reason: Instruction limit
% 2.83/0.89 % (1105955)Termination phase: Function definition elimination
% 2.83/0.89 % (1105955)Time elapsed: 0.033 s
% 3.47/0.99 % (1105955)Peak memory usage: 11 MB
% 3.47/0.99 % (1105955)Instructions burned: 42 (million)
% 3.47/0.99 % (1105922)Instruction limit reached!
% 3.47/0.99 % (1105922)------------------------------
% 3.47/0.99 % (1105922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/0.99 % (1105922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.99 % (1105922)CaDiCaL version: 2.1.3
% 3.47/0.99 % (1105922)Termination reason: Instruction limit
% 3.47/0.99 % (1105922)Termination phase: Saturation
% 3.47/0.99 % (1105922)Time elapsed: 0.171 s
% 3.47/0.99 % (1105922)Peak memory usage: 13 MB
% 3.47/0.99 % (1105922)Instructions burned: 327 (million)
% 3.47/0.99 % (1105963)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=4003394182:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 3.47/0.99 % (1105966)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.47/0.99 % (1105966)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3376035926:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 3.47/0.99 % (1105965)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=1255880247:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 3.47/0.99 % (1105966)Instruction limit reached!
% 3.47/0.99 % (1105966)------------------------------
% 3.47/0.99 % (1105966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/0.99 % (1105966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.99 % (1105966)CaDiCaL version: 2.1.3
% 3.47/0.99 % (1105966)Termination reason: Instruction limit
% 3.47/0.99 % (1105966)Termination phase: shuffling
% 3.47/0.99 % (1105966)Time elapsed: 0.004 s
% 3.47/0.99 % (1105966)Peak memory usage: 10 MB
% 3.47/0.99 % (1105966)Instructions burned: 7 (million)
% 3.47/0.99 % (1105953)Instruction limit reached!
% 3.47/0.99 % (1105953)------------------------------
% 3.47/0.99 % (1105953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/0.99 % (1105953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.99 % (1105953)CaDiCaL version: 2.1.3
% 3.47/0.99 % (1105953)Termination reason: Instruction limit
% 3.47/0.99 % (1105953)Termination phase: Saturation
% 3.47/0.99 % (1105953)Time elapsed: 0.087 s
% 3.47/0.99 % (1105953)Peak memory usage: 14 MB
% 3.47/0.99 % (1105953)Instructions burned: 195 (million)
% 3.47/0.99 % (1105971)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4067702599:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 3.47/0.99 % (1105971)Instruction limit reached!
% 3.47/0.99 % (1105971)------------------------------
% 3.47/0.99 % (1105971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/0.99 % (1105971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.99 % (1105971)CaDiCaL version: 2.1.3
% 3.47/0.99 % (1105971)Termination reason: Instruction limit
% 3.47/0.99 % (1105971)Termination phase: Property scanning
% 3.47/0.99 % (1105971)Time elapsed: 0.011 s
% 3.47/0.99 % (1105971)Peak memory usage: 10 MB
% 3.47/0.99 % (1105971)Instructions burned: 22 (million)
% 3.47/0.99 % (1105952)Instruction limit reached!
% 3.47/0.99 % (1105952)------------------------------
% 3.47/0.99 % (1105952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/0.99 % (1105952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/0.99 % (1105952)CaDiCaL version: 2.1.3
% 3.47/0.99 % (1105952)Termination reason: Instruction limit
% 3.47/0.99 % (1105952)Termination phase: Saturation
% 3.47/0.99 % (1105952)Time elapsed: 0.103 s
% 3.47/0.99 % (1105952)Peak memory usage: 12 MB
% 3.47/0.99 % (1105952)Instructions burned: 144 (million)
% 3.47/0.99 % (1105972)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1257245509:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 3.47/0.99 % (1105974)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=2548889093:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 3.47/0.99 % (1105975)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=3549089606:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 4.89/1.09 % (1105972)Instruction limit reached!
% 4.89/1.09 % (1105972)------------------------------
% 4.89/1.09 % (1105972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.89/1.09 % (1105972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.89/1.09 % (1105972)CaDiCaL version: 2.1.3
% 4.89/1.09 % (1105972)Termination reason: Instruction limit
% 4.89/1.09 % (1105972)Termination phase: Property scanning
% 4.89/1.09 % (1105972)Time elapsed: 0.016 s
% 4.89/1.09 % (1105972)Peak memory usage: 10 MB
% 4.89/1.09 % (1105972)Instructions burned: 19 (million)
% 4.89/1.09 % (1105980)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=1974365858:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 4.89/1.09 % (1105965)Instruction limit reached!
% 4.89/1.09 % (1105965)------------------------------
% 4.89/1.09 % (1105965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.89/1.09 % (1105965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.89/1.09 % (1105965)CaDiCaL version: 2.1.3
% 4.89/1.09 % (1105965)Termination reason: Instruction limit
% 4.89/1.09 % (1105965)Termination phase: Saturation
% 4.89/1.09 % (1105965)Time elapsed: 0.121 s
% 4.89/1.09 % (1105965)Peak memory usage: 13 MB
% 4.89/1.09 % (1105965)Instructions burned: 169 (million)
% 4.89/1.09 % (1105963)Instruction limit reached!
% 4.89/1.09 % (1105963)------------------------------
% 4.89/1.09 % (1105963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.89/1.09 % (1105963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.89/1.09 % (1105963)CaDiCaL version: 2.1.3
% 4.89/1.09 % (1105963)Termination reason: Instruction limit
% 4.89/1.09 % (1105963)Termination phase: Saturation
% 4.89/1.09 % (1105963)Time elapsed: 0.143 s
% 4.89/1.09 % (1105963)Peak memory usage: 14 MB
% 4.89/1.09 % (1105963)Instructions burned: 182 (million)
% 4.89/1.09 % (1105980)Instruction limit reached!
% 4.89/1.09 % (1105980)------------------------------
% 4.89/1.09 % (1105980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.89/1.09 % (1105980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.89/1.09 % (1105980)CaDiCaL version: 2.1.3
% 4.89/1.09 % (1105980)Termination reason: Instruction limit
% 4.89/1.09 % (1105980)Termination phase: Property scanning
% 4.89/1.09 % (1105980)Time elapsed: 0.036 s
% 4.89/1.09 % (1105980)Peak memory usage: 11 MB
% 4.89/1.09 % (1105980)Instructions burned: 45 (million)
% 4.89/1.09 % (1105983)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3309709115:i=480:rtra=on_2994 on theBenchmark for (2994ds/480Mi)
% 4.89/1.09 % (1105985)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 4.89/1.09 % (1105984)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=62626807:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2994 on theBenchmark for (2994ds/21Mi)
% 4.89/1.09 % (1105985)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1225003023:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 4.89/1.09 % (1105974)Instruction limit reached!
% 4.89/1.09 % (1105974)------------------------------
% 4.89/1.09 % (1105974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.89/1.09 % (1105974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.89/1.09 % (1105974)CaDiCaL version: 2.1.3
% 4.89/1.09 % (1105974)Termination reason: Instruction limit
% 4.89/1.09 % (1105974)Termination phase: Saturation
% 4.89/1.09 % (1105974)Time elapsed: 0.116 s
% 4.89/1.09 % (1105974)Peak memory usage: 12 MB
% 4.89/1.09 % (1105974)Instructions burned: 318 (million)
% 4.89/1.09 % (1105983)Refutation not found, incomplete strategy
% 4.89/1.09 % (1105983)------------------------------
% 4.89/1.09 % (1105983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.89/1.09 % (1105983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.32 % (1105983)CaDiCaL version: 2.1.3
% 6.14/1.32 % (1105983)Termination reason: Refutation not found, incomplete strategy
% 6.14/1.32 % (1105983)Time elapsed: 0.027 s
% 6.14/1.32 % (1105983)Peak memory usage: 13 MB
% 6.14/1.32 % (1105983)Instructions burned: 53 (million)
% 6.14/1.32 % (1105983)------------------------------
% 6.14/1.32 % (1105983)------------------------------
% 6.14/1.32 % (1105984)Instruction limit reached!
% 6.14/1.32 % (1105984)------------------------------
% 6.14/1.32 % (1105984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.32 % (1105984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.32 % (1105984)CaDiCaL version: 2.1.3
% 6.14/1.32 % (1105984)Termination reason: Instruction limit
% 6.14/1.32 % (1105984)Termination phase: Property scanning
% 6.14/1.32 % (1105984)Time elapsed: 0.018 s
% 6.14/1.32 % (1105984)Peak memory usage: 10 MB
% 6.14/1.32 % (1105984)Instructions burned: 21 (million)
% 6.14/1.32 % (1105990)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3988386354:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 6.14/1.32 % (1105989)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3848028538:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 6.14/1.32 % (1105991)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2649304522:i=51:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/51Mi)
% 6.14/1.32 % (1105989)Instruction limit reached!
% 6.14/1.32 % (1105989)------------------------------
% 6.14/1.32 % (1105989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.32 % (1105989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.32 % (1105989)CaDiCaL version: 2.1.3
% 6.14/1.32 % (1105989)Termination reason: Instruction limit
% 6.14/1.32 % (1105989)Termination phase: shuffling
% 6.14/1.32 % (1105989)Time elapsed: 0.012 s
% 6.14/1.32 % (1105989)Peak memory usage: 10 MB
% 6.14/1.32 % (1105989)Instructions burned: 14 (million)
% 6.14/1.32 % (1105990)Instruction limit reached!
% 6.14/1.32 % (1105990)------------------------------
% 6.14/1.32 % (1105990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.32 % (1105990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.32 % (1105990)CaDiCaL version: 2.1.3
% 6.14/1.32 % (1105990)Termination reason: Instruction limit
% 6.14/1.32 % (1105990)Termination phase: Function definition elimination
% 6.14/1.32 % (1105990)Time elapsed: 0.030 s
% 6.14/1.32 % (1105990)Peak memory usage: 11 MB
% 6.14/1.32 % (1105990)Instructions burned: 67 (million)
% 6.14/1.32 % (1105879)Instruction limit reached!
% 6.14/1.32 % (1105879)------------------------------
% 6.14/1.32 % (1105879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.32 % (1105879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.32 % (1105879)CaDiCaL version: 2.1.3
% 6.14/1.32 % (1105879)Termination reason: Instruction limit
% 6.14/1.32 % (1105879)Termination phase: Saturation
% 6.14/1.32 % (1105879)Time elapsed: 0.574 s
% 6.14/1.32 % (1105879)Peak memory usage: 17 MB
% 6.14/1.32 % (1105879)Instructions burned: 634 (million)
% 6.14/1.32 % (1105991)Instruction limit reached!
% 6.14/1.32 % (1105991)------------------------------
% 6.14/1.32 % (1105991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.32 % (1105991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.32 % (1105991)CaDiCaL version: 2.1.3
% 6.14/1.32 % (1105991)Termination reason: Instruction limit
% 6.14/1.32 % (1105991)Termination phase: Function definition elimination
% 6.14/1.32 % (1105991)Time elapsed: 0.039 s
% 6.14/1.32 % (1105991)Peak memory usage: 11 MB
% 6.14/1.32 % (1105991)Instructions burned: 52 (million)
% 6.14/1.32 % (1105995)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=543525583:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 6.14/1.32 % (1105996)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=726057910:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2993 on theBenchmark for (2993ds/137Mi)
% 6.14/1.32 % (1105997)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=4061704931:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 6.69/1.47 % (1105998)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3764987828:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/67Mi)
% 6.69/1.47 % (1105995)Instruction limit reached!
% 6.69/1.47 % (1105995)------------------------------
% 6.69/1.47 % (1105995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.69/1.47 % (1105995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.47 % (1105995)CaDiCaL version: 2.1.3
% 6.69/1.47 % (1105995)Termination reason: Instruction limit
% 6.69/1.47 % (1105995)Termination phase: Property scanning
% 6.69/1.47 % (1105995)Time elapsed: 0.026 s
% 6.69/1.47 % (1105995)Peak memory usage: 10 MB
% 6.69/1.47 % (1105995)Instructions burned: 32 (million)
% 6.69/1.47 % (1105997)Instruction limit reached!
% 6.69/1.47 % (1105997)------------------------------
% 6.69/1.47 % (1105997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.69/1.47 % (1105997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.47 % (1105997)CaDiCaL version: 2.1.3
% 6.69/1.47 % (1105997)Termination reason: Instruction limit
% 6.69/1.47 % (1105997)Termination phase: Function definition elimination
% 6.69/1.47 % (1105997)Time elapsed: 0.015 s
% 6.69/1.47 % (1105997)Peak memory usage: 10 MB
% 6.69/1.47 % (1105997)Instructions burned: 37 (million)
% 6.69/1.47 % (1106004)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 6.69/1.47 % (1105985)Instruction limit reached!
% 6.69/1.47 % (1105985)------------------------------
% 6.69/1.47 % (1105985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.69/1.47 % (1105985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.47 % (1105985)CaDiCaL version: 2.1.3
% 6.69/1.47 % (1105985)Termination reason: Instruction limit
% 6.69/1.47 % (1105985)Termination phase: Saturation
% 6.69/1.47 % (1105985)Time elapsed: 0.139 s
% 6.69/1.47 % (1105985)Peak memory usage: 12 MB
% 6.69/1.47 % (1105985)Instructions burned: 201 (million)
% 6.69/1.47 % (1106004)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1289311507:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2993 on theBenchmark for (2993ds/180Mi)
% 6.69/1.47 % (1106005)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2192864286:st=2:i=246:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/246Mi)
% 6.69/1.47 % (1105998)Instruction limit reached!
% 6.69/1.47 % (1105998)------------------------------
% 6.69/1.47 % (1105998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.69/1.47 % (1105998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.47 % (1105998)CaDiCaL version: 2.1.3
% 6.69/1.47 % (1105998)Termination reason: Instruction limit
% 6.69/1.47 % (1105998)Termination phase: Function definition elimination
% 6.69/1.47 % (1105998)Time elapsed: 0.049 s
% 6.69/1.47 % (1105998)Peak memory usage: 10 MB
% 6.69/1.47 % (1105998)Instructions burned: 67 (million)
% 6.69/1.47 % (1106008)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2868315974:cond=on:i=96:bd=all:rtra=on_2993 on theBenchmark for (2993ds/96Mi)
% 6.69/1.47 % (1106010)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3854314922:i=427:sd=1:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/427Mi)
% 6.69/1.47 % (1106004)Instruction limit reached!
% 6.69/1.47 % (1106004)------------------------------
% 6.69/1.47 % (1106004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.69/1.47 % (1106004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.47 % (1106004)CaDiCaL version: 2.1.3
% 6.69/1.47 % (1106004)Termination reason: Instruction limit
% 6.69/1.47 % (1106004)Termination phase: Saturation
% 6.69/1.47 % (1106004)Time elapsed: 0.065 s
% 6.69/1.47 % (1106004)Peak memory usage: 12 MB
% 6.69/1.47 % (1106004)Instructions burned: 181 (million)
% 6.69/1.47 % (1106010)Refutation not found, incomplete strategy
% 6.69/1.47 % (1106010)------------------------------
% 6.69/1.47 % (1106010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.69/1.47 % (1106010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.47 % (1106010)CaDiCaL version: 2.1.3
% 6.69/1.47 % (1106010)Termination reason: Refutation not found, incomplete strategy
% 6.69/1.47 % (1106010)Time elapsed: 0.031 s
% 6.69/1.47 % (1106010)Peak memory usage: 13 MB
% 7.48/1.61 % (1106010)Instructions burned: 58 (million)
% 7.48/1.61 % (1106010)------------------------------
% 7.48/1.61 % (1106010)------------------------------
% 7.48/1.61 % (1105996)Instruction limit reached!
% 7.48/1.61 % (1105996)------------------------------
% 7.48/1.61 % (1105996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.61 % (1105996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.61 % (1105996)CaDiCaL version: 2.1.3
% 7.48/1.61 % (1105996)Termination reason: Instruction limit
% 7.48/1.61 % (1105996)Termination phase: Saturation
% 7.48/1.61 % (1105996)Time elapsed: 0.130 s
% 7.48/1.61 % (1105996)Peak memory usage: 13 MB
% 7.48/1.61 % (1105996)Instructions burned: 137 (million)
% 7.48/1.61 % (1106014)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3966602356:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/515Mi)
% 7.48/1.61 % (1106008)Instruction limit reached!
% 7.48/1.61 % (1106008)------------------------------
% 7.48/1.61 % (1106008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.61 % (1106008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.61 % (1106008)CaDiCaL version: 2.1.3
% 7.48/1.61 % (1106008)Termination reason: Instruction limit
% 7.48/1.61 % (1106008)Termination phase: Property scanning
% 7.48/1.61 % (1106008)Time elapsed: 0.068 s
% 7.48/1.61 % (1106008)Peak memory usage: 11 MB
% 7.48/1.61 % (1106008)Instructions burned: 97 (million)
% 7.48/1.61 % (1106013)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2125461556:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/874Mi)
% 7.48/1.61 % (1106015)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1620214703:st=1.5:i=130:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 7.48/1.61 % (1106018)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=935747936:i=44:ep=R:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/44Mi)
% 7.48/1.61 % (1106015)Instruction limit reached!
% 7.48/1.61 % (1106015)------------------------------
% 7.48/1.61 % (1106015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.61 % (1106015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.61 % (1106015)CaDiCaL version: 2.1.3
% 7.48/1.61 % (1106015)Termination reason: Instruction limit
% 7.48/1.61 % (1106015)Termination phase: Saturation
% 7.48/1.61 % (1106015)Time elapsed: 0.054 s
% 7.48/1.61 % (1106015)Peak memory usage: 14 MB
% 7.48/1.61 % (1106015)Instructions burned: 130 (million)
% 7.48/1.61 % (1106018)Instruction limit reached!
% 7.48/1.61 % (1106018)------------------------------
% 7.48/1.61 % (1106018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.61 % (1106018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.61 % (1106018)CaDiCaL version: 2.1.3
% 7.48/1.61 % (1106018)Termination reason: Instruction limit
% 7.48/1.61 % (1106018)Termination phase: Function definition elimination
% 7.48/1.61 % (1106018)Time elapsed: 0.034 s
% 7.48/1.61 % (1106018)Peak memory usage: 11 MB
% 7.48/1.61 % (1106018)Instructions burned: 44 (million)
% 7.48/1.61 % (1106023)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3678357962:s2a=on:i=571:nm=16:rtra=on_2991 on theBenchmark for (2991ds/571Mi)
% 7.48/1.61 % (1106024)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2044301203:i=450:rtra=on:ixr=off:ntd=on_2991 on theBenchmark for (2991ds/450Mi)
% 7.48/1.61 % (1106005)Instruction limit reached!
% 7.48/1.61 % (1106005)------------------------------
% 7.48/1.61 % (1106005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.61 % (1106005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.61 % (1106005)CaDiCaL version: 2.1.3
% 7.48/1.61 % (1106005)Termination reason: Instruction limit
% 7.48/1.61 % (1106005)Termination phase: Saturation
% 7.48/1.61 % (1106005)Time elapsed: 0.173 s
% 7.48/1.61 % (1106005)Peak memory usage: 12 MB
% 7.48/1.61 % (1106005)Instructions burned: 247 (million)
% 7.48/1.61 % (1106027)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=474353317:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/95Mi)
% 7.48/1.61 % (1106027)Instruction limit reached!
% 7.48/1.61 % (1106027)------------------------------
% 7.48/1.61 % (1106027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.75 % (1106027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.75 % (1106027)CaDiCaL version: 2.1.3
% 8.26/1.75 % (1106027)Termination reason: Instruction limit
% 8.26/1.75 % (1106027)Termination phase: Property scanning
% 8.26/1.75 % (1106027)Time elapsed: 0.073 s
% 8.26/1.75 % (1106027)Peak memory usage: 11 MB
% 8.26/1.75 % (1106027)Instructions burned: 96 (million)
% 8.26/1.75 % (1106029)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=3121606302:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2990 on theBenchmark for (2990ds/65Mi)
% 8.26/1.75 % (1106029)Instruction limit reached!
% 8.26/1.75 % (1106029)------------------------------
% 8.26/1.75 % (1106029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.75 % (1106029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.75 % (1106029)CaDiCaL version: 2.1.3
% 8.26/1.75 % (1106029)Termination reason: Instruction limit
% 8.26/1.75 % (1106029)Termination phase: Function definition elimination
% 8.26/1.75 % (1106029)Time elapsed: 0.030 s
% 8.26/1.75 % (1106029)Peak memory usage: 11 MB
% 8.26/1.75 % (1106029)Instructions burned: 67 (million)
% 8.26/1.75 % (1106024)Instruction limit reached!
% 8.26/1.75 % (1106024)------------------------------
% 8.26/1.75 % (1106024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.75 % (1106024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.75 % (1106024)CaDiCaL version: 2.1.3
% 8.26/1.75 % (1106024)Termination reason: Instruction limit
% 8.26/1.75 % (1106024)Termination phase: Saturation
% 8.26/1.75 % (1106024)Time elapsed: 0.167 s
% 8.26/1.75 % (1106024)Peak memory usage: 13 MB
% 8.26/1.75 % (1106024)Instructions burned: 452 (million)
% 8.26/1.75 % (1106031)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=618320627:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2989 on theBenchmark for (2989ds/105Mi)
% 8.26/1.75 % (1106032)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=1434749115:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2989 on theBenchmark for (2989ds/5755Mi)
% 8.26/1.75 % (1105975)Instruction limit reached!
% 8.26/1.75 % (1105975)------------------------------
% 8.26/1.75 % (1105975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.75 % (1105975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.75 % (1105975)CaDiCaL version: 2.1.3
% 8.26/1.75 % (1105975)Termination reason: Instruction limit
% 8.26/1.75 % (1105975)Termination phase: Saturation
% 8.26/1.75 % (1105975)Time elapsed: 0.660 s
% 8.26/1.75 % (1105975)Peak memory usage: 14 MB
% 8.26/1.75 % (1105975)Instructions burned: 853 (million)
% 8.26/1.75 % (1106031)Instruction limit reached!
% 8.26/1.75 % (1106031)------------------------------
% 8.26/1.75 % (1106031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.75 % (1106031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.75 % (1106031)CaDiCaL version: 2.1.3
% 8.26/1.75 % (1106031)Termination reason: Instruction limit
% 8.26/1.75 % (1106031)Termination phase: Saturation
% 8.26/1.75 % (1106031)Time elapsed: 0.048 s
% 8.26/1.75 % (1106031)Peak memory usage: 11 MB
% 8.26/1.75 % (1106031)Instructions burned: 105 (million)
% 8.26/1.75 % (1106035)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2089853980:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/375Mi)
% 8.26/1.75 % (1105948)Instruction limit reached!
% 8.26/1.75 % (1105948)------------------------------
% 8.26/1.75 % (1105948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.75 % (1105948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.75 % (1105948)CaDiCaL version: 2.1.3
% 8.26/1.75 % (1105948)Termination reason: Instruction limit
% 8.26/1.75 % (1105948)Termination phase: Saturation
% 8.26/1.75 % (1105948)Time elapsed: 0.832 s
% 8.26/1.75 % (1105948)Peak memory usage: 12 MB
% 8.26/1.75 % (1105948)Instructions burned: 1241 (million)
% 8.26/1.75 % (1106014)Instruction limit reached!
% 9.91/1.91 % (1106014)------------------------------
% 9.91/1.91 % (1106014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.91/1.91 % (1106014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.91/1.91 % (1106014)CaDiCaL version: 2.1.3
% 9.91/1.91 % (1106014)Termination reason: Instruction limit
% 9.91/1.91 % (1106014)Termination phase: Saturation
% 9.91/1.91 % (1106014)Time elapsed: 0.349 s
% 9.91/1.91 % (1106014)Peak memory usage: 12 MB
% 9.91/1.91 % (1106014)Instructions burned: 516 (million)
% 9.91/1.91 % (1106036)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1360618846:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2989 on theBenchmark for (2989ds/495Mi)
% 9.91/1.91 % (1106039)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=4144183907:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2988 on theBenchmark for (2988ds/91Mi)
% 9.91/1.91 % (1106038)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=2090571843:cond=on:i=34:hud=10:nm=10:rtra=on_2988 on theBenchmark for (2988ds/34Mi)
% 9.91/1.91 % (1106039)Instruction limit reached!
% 9.91/1.91 % (1106039)------------------------------
% 9.91/1.91 % (1106039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.91/1.91 % (1106039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.91/1.91 % (1106039)CaDiCaL version: 2.1.3
% 9.91/1.91 % (1106039)Termination reason: Instruction limit
% 9.91/1.91 % (1106039)Termination phase: Saturation
% 9.91/1.91 % (1106039)Time elapsed: 0.037 s
% 9.91/1.91 % (1106039)Peak memory usage: 12 MB
% 9.91/1.91 % (1106039)Instructions burned: 93 (million)
% 9.91/1.91 % (1106038)Instruction limit reached!
% 9.91/1.91 % (1106038)------------------------------
% 9.91/1.91 % (1106038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.91/1.91 % (1106038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.91/1.91 % (1106038)CaDiCaL version: 2.1.3
% 9.91/1.91 % (1106038)Termination reason: Instruction limit
% 9.91/1.91 % (1106038)Termination phase: Property scanning
% 9.91/1.91 % (1106038)Time elapsed: 0.028 s
% 9.91/1.91 % (1106038)Peak memory usage: 10 MB
% 9.91/1.91 % (1106038)Instructions burned: 34 (million)
% 9.91/1.91 % (1106043)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=919174895:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2988 on theBenchmark for (2988ds/66Mi)
% 9.91/1.91 % (1106044)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1444265879:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2988 on theBenchmark for (2988ds/22Mi)
% 9.91/1.91 % (1106043)Instruction limit reached!
% 9.91/1.91 % (1106043)------------------------------
% 9.91/1.91 % (1106043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.91/1.91 % (1106043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.91/1.91 % (1106043)CaDiCaL version: 2.1.3
% 9.91/1.91 % (1106043)Termination reason: Instruction limit
% 9.91/1.91 % (1106043)Termination phase: Saturation
% 9.91/1.91 % (1106043)Time elapsed: 0.029 s
% 9.91/1.91 % (1106043)Peak memory usage: 13 MB
% 9.91/1.91 % (1106043)Instructions burned: 66 (million)
% 9.91/1.91 % (1106044)Instruction limit reached!
% 9.91/1.91 % (1106044)------------------------------
% 9.91/1.91 % (1106044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.91/1.91 % (1106044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.91/1.91 % (1106044)CaDiCaL version: 2.1.3
% 9.91/1.91 % (1106044)Termination reason: Instruction limit
% 9.91/1.91 % (1106044)Termination phase: Property scanning
% 9.91/1.91 % (1106044)Time elapsed: 0.019 s
% 9.91/1.91 % (1106044)Peak memory usage: 10 MB
% 9.91/1.91 % (1106044)Instructions burned: 22 (million)
% 9.91/1.91 % (1106048)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3296051281:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/28Mi)
% 9.91/1.91 % (1106047)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=3806281402:i=338:bd=all:ins=4:rtra=on_2987 on theBenchmark for (2987ds/338Mi)
% 9.91/1.91 % (1106048)Instruction limit reached!
% 9.91/1.91 % (1106048)------------------------------
% 9.91/1.91 % (1106048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.91/1.91 % (1106048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.48/2.20 % (1106048)CaDiCaL version: 2.1.3
% 12.48/2.20 % (1106048)Termination reason: Instruction limit
% 12.48/2.20 % (1106048)Termination phase: Preprocessing 3
% 12.48/2.20 % (1106048)Time elapsed: 0.013 s
% 12.48/2.20 % (1106048)Peak memory usage: 11 MB
% 12.48/2.20 % (1106048)Instructions burned: 29 (million)
% 12.48/2.20 % (1106023)Instruction limit reached!
% 12.48/2.20 % (1106023)------------------------------
% 12.48/2.20 % (1106023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.48/2.20 % (1106023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.48/2.20 % (1106023)CaDiCaL version: 2.1.3
% 12.48/2.20 % (1106023)Termination reason: Instruction limit
% 12.48/2.20 % (1106023)Termination phase: Saturation
% 12.48/2.20 % (1106023)Time elapsed: 0.417 s
% 12.48/2.20 % (1106023)Peak memory usage: 18 MB
% 12.48/2.20 % (1106023)Instructions burned: 572 (million)
% 12.48/2.20 % (1106051)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 12.48/2.20 % (1106051)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2115955093:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2987 on theBenchmark for (2987ds/137Mi)
% 12.48/2.20 % (1106052)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=4169359511:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2987 on theBenchmark for (2987ds/340Mi)
% 12.48/2.20 % (1106035)Instruction limit reached!
% 12.48/2.20 % (1106035)------------------------------
% 12.48/2.20 % (1106035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.48/2.20 % (1106035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.48/2.20 % (1106035)CaDiCaL version: 2.1.3
% 12.48/2.20 % (1106035)Termination reason: Instruction limit
% 12.48/2.20 % (1106035)Termination phase: Saturation
% 12.48/2.20 % (1106035)Time elapsed: 0.212 s
% 12.48/2.20 % (1106035)Peak memory usage: 14 MB
% 12.48/2.20 % (1106035)Instructions burned: 375 (million)
% 12.48/2.20 % (1106051)Instruction limit reached!
% 12.48/2.20 % (1106051)------------------------------
% 12.48/2.20 % (1106051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.48/2.20 % (1106051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.48/2.20 % (1106051)CaDiCaL version: 2.1.3
% 12.48/2.20 % (1106051)Termination reason: Instruction limit
% 12.48/2.20 % (1106051)Termination phase: Saturation
% 12.48/2.20 % (1106051)Time elapsed: 0.054 s
% 12.48/2.20 % (1106051)Peak memory usage: 12 MB
% 12.48/2.20 % (1106051)Instructions burned: 140 (million)
% 12.48/2.20 % (1106055)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=4229081687:i=227:sd=1:bd=all:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/227Mi)
% 12.48/2.20 % (1106056)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 12.48/2.20 % (1106056)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1733093834:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/373Mi)
% 12.48/2.20 % (1106013)Instruction limit reached!
% 12.48/2.20 % (1106013)------------------------------
% 12.48/2.20 % (1106013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.48/2.20 % (1106013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.48/2.20 % (1106013)CaDiCaL version: 2.1.3
% 12.48/2.20 % (1106013)Termination reason: Instruction limit
% 12.48/2.20 % (1106013)Termination phase: Saturation
% 12.48/2.20 % (1106013)Time elapsed: 0.598 s
% 12.48/2.20 % (1106013)Peak memory usage: 13 MB
% 12.48/2.20 % (1106013)Instructions burned: 874 (million)
% 12.48/2.20 % (1106055)Refutation not found, incomplete strategy
% 12.48/2.20 % (1106055)------------------------------
% 12.48/2.20 % (1106055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.48/2.20 % (1106055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.48/2.20 % (1106055)CaDiCaL version: 2.1.3
% 12.48/2.20 % (1106055)Termination reason: Refutation not found, incomplete strategy
% 12.48/2.20 % (1106055)Time elapsed: 0.040 s
% 12.48/2.20 % (1106055)Peak memory usage: 13 MB
% 12.48/2.20 % (1106055)Instructions burned: 47 (million)
% 12.48/2.20 % (1106055)------------------------------
% 12.48/2.20 % (1106055)------------------------------
% 14.07/2.48 % (1106059)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=884799180:i=116:ep=RSTC:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/116Mi)
% 14.07/2.48 % (1106052)Instruction limit reached!
% 14.07/2.48 % (1106052)------------------------------
% 14.07/2.48 % (1106052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.07/2.48 % (1106052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.07/2.48 % (1106052)CaDiCaL version: 2.1.3
% 14.07/2.48 % (1106052)Termination reason: Instruction limit
% 14.07/2.48 % (1106052)Termination phase: Saturation
% 14.07/2.48 % (1106052)Time elapsed: 0.139 s
% 14.07/2.48 % (1106052)Peak memory usage: 12 MB
% 14.07/2.48 % (1106052)Instructions burned: 341 (million)
% 14.07/2.48 % (1106060)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=4190976520:i=575:rtra=on_2985 on theBenchmark for (2985ds/575Mi)
% 14.07/2.48 % (1106063)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=4005530090:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2985 on theBenchmark for (2985ds/270Mi)
% 14.07/2.48 % (1106036)Instruction limit reached!
% 14.07/2.48 % (1106036)------------------------------
% 14.07/2.48 % (1106036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.07/2.48 % (1106036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.07/2.48 % (1106036)CaDiCaL version: 2.1.3
% 14.07/2.48 % (1106036)Termination reason: Instruction limit
% 14.07/2.48 % (1106036)Termination phase: Saturation
% 14.07/2.48 % (1106036)Time elapsed: 0.343 s
% 14.07/2.48 % (1106036)Peak memory usage: 12 MB
% 14.07/2.48 % (1106036)Instructions burned: 496 (million)
% 14.07/2.48 % (1106047)Instruction limit reached!
% 14.07/2.48 % (1106047)------------------------------
% 14.07/2.48 % (1106047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.07/2.48 % (1106047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.07/2.48 % (1106047)CaDiCaL version: 2.1.3
% 14.07/2.48 % (1106047)Termination reason: Instruction limit
% 14.07/2.48 % (1106047)Termination phase: Saturation
% 14.07/2.48 % (1106047)Time elapsed: 0.234 s
% 14.07/2.48 % (1106047)Peak memory usage: 12 MB
% 14.07/2.48 % (1106047)Instructions burned: 339 (million)
% 14.07/2.48 % (1106059)Instruction limit reached!
% 14.07/2.48 % (1106059)------------------------------
% 14.07/2.48 % (1106059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.07/2.48 % (1106059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.07/2.48 % (1106059)CaDiCaL version: 2.1.3
% 14.07/2.48 % (1106059)Termination reason: Instruction limit
% 14.07/2.48 % (1106059)Termination phase: Saturation
% 14.07/2.48 % (1106059)Time elapsed: 0.085 s
% 14.07/2.48 % (1106059)Peak memory usage: 12 MB
% 14.07/2.48 % (1106059)Instructions burned: 116 (million)
% 14.07/2.48 % (1106065)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=2350780833:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2985 on theBenchmark for (2985ds/9840Mi)
% 14.07/2.48 % (1106067)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 14.07/2.48 % (1106066)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3175105875:i=421:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/421Mi)
% 14.07/2.48 % (1106067)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=3745863638:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/270Mi)
% 14.07/2.48 % (1106056)Instruction limit reached!
% 14.07/2.48 % (1106056)------------------------------
% 14.07/2.48 % (1106056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.07/2.48 % (1106056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.07/2.48 % (1106056)CaDiCaL version: 2.1.3
% 14.07/2.48 % (1106056)Termination reason: Instruction limit
% 14.07/2.48 % (1106056)Termination phase: Saturation
% 14.07/2.48 % (1106056)Time elapsed: 0.191 s
% 14.07/2.48 % (1106056)Peak memory usage: 12 MB
% 14.07/2.48 % (1106056)Instructions burned: 373 (million)
% 15.90/2.84 % (1106071)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3658155774:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/31Mi)
% 15.90/2.84 % (1106071)Instruction limit reached!
% 15.90/2.84 % (1106071)------------------------------
% 15.90/2.84 % (1106071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.90/2.84 % (1106071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/2.84 % (1106071)CaDiCaL version: 2.1.3
% 15.90/2.84 % (1106071)Termination reason: Instruction limit
% 15.90/2.84 % (1106071)Termination phase: Property scanning
% 15.90/2.84 % (1106071)Time elapsed: 0.015 s
% 15.90/2.84 % (1106071)Peak memory usage: 10 MB
% 15.90/2.84 % (1106071)Instructions burned: 32 (million)
% 15.90/2.84 % (1106073)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 15.90/2.84 % (1106073)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
% 15.90/2.84 % (1106073)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=431462612:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2984 on theBenchmark for (2984ds/1440Mi)
% 15.90/2.84 % (1106063)Instruction limit reached!
% 15.90/2.84 % (1106063)------------------------------
% 15.90/2.84 % (1106063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.90/2.84 % (1106063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/2.84 % (1106063)CaDiCaL version: 2.1.3
% 15.90/2.84 % (1106063)Termination reason: Instruction limit
% 15.90/2.84 % (1106063)Termination phase: Saturation
% 15.90/2.84 % (1106063)Time elapsed: 0.188 s
% 15.90/2.84 % (1106063)Peak memory usage: 12 MB
% 15.90/2.84 % (1106063)Instructions burned: 270 (million)
% 15.90/2.84 % (1106075)dis+10_2_sil=128000:si=on:random_seed=1784450710:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2983 on theBenchmark for (2983ds/339Mi)
% 15.90/2.84 % (1106067)Instruction limit reached!
% 15.90/2.84 % (1106067)------------------------------
% 15.90/2.84 % (1106067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.90/2.84 % (1106067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/2.84 % (1106067)CaDiCaL version: 2.1.3
% 15.90/2.84 % (1106067)Termination reason: Instruction limit
% 15.90/2.84 % (1106067)Termination phase: Saturation
% 15.90/2.84 % (1106067)Time elapsed: 0.192 s
% 15.90/2.84 % (1106067)Peak memory usage: 12 MB
% 15.90/2.84 % (1106067)Instructions burned: 271 (million)
% 15.90/2.84 % (1106077)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3116017393:i=111:add=on:fgj=on:rtra=on:fdi=1024_2982 on theBenchmark for (2982ds/111Mi)
% 15.90/2.84 % (1106077)Instruction limit reached!
% 15.90/2.84 % (1106077)------------------------------
% 15.90/2.84 % (1106077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.90/2.84 % (1106077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/2.84 % (1106077)CaDiCaL version: 2.1.3
% 15.90/2.84 % (1106077)Termination reason: Instruction limit
% 15.90/2.84 % (1106077)Termination phase: Saturation
% 15.90/2.84 % (1106077)Time elapsed: 0.055 s
% 15.90/2.84 % (1106077)Peak memory usage: 12 MB
% 15.90/2.84 % (1106077)Instructions burned: 111 (million)
% 15.90/2.84 % (1106082)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=3956110143:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/122Mi)
% 15.90/2.84 % (1106060)Instruction limit reached!
% 15.90/2.84 % (1106060)------------------------------
% 15.90/2.84 % (1106060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.90/2.84 % (1106060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/2.84 % (1106060)CaDiCaL version: 2.1.3
% 15.90/2.84 % (1106060)Termination reason: Instruction limit
% 15.90/2.84 % (1106060)Termination phase: Saturation
% 15.90/2.84 % (1106060)Time elapsed: 0.396 s
% 15.90/2.84 % (1106060)Peak memory usage: 13 MB
% 15.90/2.84 % (1106060)Instructions burned: 575 (million)
% 15.90/2.84 % (1106066)Instruction limit reached!
% 15.90/2.84 % (1106066)------------------------------
% 15.90/2.84 % (1106066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.88/3.06 % (1106066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.06 % (1106066)CaDiCaL version: 2.1.3
% 16.88/3.06 % (1106066)Termination reason: Instruction limit
% 16.88/3.06 % (1106066)Termination phase: Saturation
% 16.88/3.06 % (1106066)Time elapsed: 0.327 s
% 16.88/3.06 % (1106066)Peak memory usage: 14 MB
% 16.88/3.06 % (1106066)Instructions burned: 422 (million)
% 16.88/3.06 % (1106085)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=2552141509:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/136Mi)
% 16.88/3.06 % (1106086)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=979673366:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/232Mi)
% 16.88/3.06 % (1106082)Instruction limit reached!
% 16.88/3.06 % (1106082)------------------------------
% 16.88/3.06 % (1106082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.88/3.06 % (1106082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.06 % (1106082)CaDiCaL version: 2.1.3
% 16.88/3.06 % (1106082)Termination reason: Instruction limit
% 16.88/3.06 % (1106082)Termination phase: Saturation
% 16.88/3.06 % (1106082)Time elapsed: 0.094 s
% 16.88/3.06 % (1106082)Peak memory usage: 14 MB
% 16.88/3.06 % (1106082)Instructions burned: 122 (million)
% 16.88/3.06 % (1106089)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=1968162311:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2980 on theBenchmark for (2980ds/1254Mi)
% 16.88/3.06 % (1106075)Instruction limit reached!
% 16.88/3.06 % (1106075)------------------------------
% 16.88/3.06 % (1106075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.88/3.06 % (1106075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.06 % (1106075)CaDiCaL version: 2.1.3
% 16.88/3.06 % (1106075)Termination reason: Instruction limit
% 16.88/3.06 % (1106075)Termination phase: Saturation
% 16.88/3.06 % (1106075)Time elapsed: 0.274 s
% 16.88/3.06 % (1106075)Peak memory usage: 13 MB
% 16.88/3.06 % (1106075)Instructions burned: 339 (million)
% 16.88/3.06 % (1106085)Instruction limit reached!
% 16.88/3.06 % (1106085)------------------------------
% 16.88/3.06 % (1106085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.88/3.06 % (1106085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.06 % (1106085)CaDiCaL version: 2.1.3
% 16.88/3.06 % (1106085)Termination reason: Instruction limit
% 16.88/3.06 % (1106085)Termination phase: Saturation
% 16.88/3.06 % (1106085)Time elapsed: 0.100 s
% 16.88/3.06 % (1106085)Peak memory usage: 13 MB
% 16.88/3.06 % (1106085)Instructions burned: 136 (million)
% 16.88/3.06 % (1106092)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3720894632:i=619:add=on:rtra=on_2980 on theBenchmark for (2980ds/619Mi)
% 16.88/3.06 % (1106091)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 16.88/3.06 % (1106091)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=3945244010:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2980 on theBenchmark for (2980ds/281Mi)
% 16.88/3.06 % (1106086)Instruction limit reached!
% 16.88/3.06 % (1106086)------------------------------
% 16.88/3.06 % (1106086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.88/3.06 % (1106086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.06 % (1106086)CaDiCaL version: 2.1.3
% 16.88/3.06 % (1106086)Termination reason: Instruction limit
% 16.88/3.06 % (1106086)Termination phase: Saturation
% 16.88/3.06 % (1106086)Time elapsed: 0.207 s
% 16.88/3.06 % (1106086)Peak memory usage: 14 MB
% 16.88/3.06 % (1106086)Instructions burned: 232 (million)
% 16.88/3.06 % (1106073)Instruction limit reached!
% 16.88/3.06 % (1106073)------------------------------
% 16.88/3.06 % (1106073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.88/3.06 % (1106073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.06 % (1106073)CaDiCaL version: 2.1.3
% 16.88/3.06 % (1106073)Termination reason: Instruction limit
% 16.88/3.06 % (1106073)Termination phase: Saturation
% 20.03/3.39 % (1106073)Time elapsed: 0.513 s
% 20.03/3.39 % (1106073)Peak memory usage: 22 MB
% 20.03/3.39 % (1106073)Instructions burned: 1441 (million)
% 20.03/3.39 % (1106097)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=1118036482:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/865Mi)
% 20.03/3.39 % (1106092)Instruction limit reached!
% 20.03/3.39 % (1106092)------------------------------
% 20.03/3.39 % (1106092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.03/3.39 % (1106092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.03/3.39 % (1106092)CaDiCaL version: 2.1.3
% 20.03/3.39 % (1106092)Termination reason: Instruction limit
% 20.03/3.39 % (1106092)Termination phase: Saturation
% 20.03/3.39 % (1106092)Time elapsed: 0.177 s
% 20.03/3.39 % (1106092)Peak memory usage: 13 MB
% 20.03/3.39 % (1106092)Instructions burned: 620 (million)
% 20.03/3.39 % (1106099)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3774989540:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/212Mi)
% 20.03/3.39 % (1106091)Instruction limit reached!
% 20.03/3.39 % (1106091)------------------------------
% 20.03/3.39 % (1106091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.03/3.39 % (1106091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.03/3.39 % (1106091)CaDiCaL version: 2.1.3
% 20.03/3.39 % (1106091)Termination reason: Instruction limit
% 20.03/3.39 % (1106091)Termination phase: Saturation
% 20.03/3.39 % (1106091)Time elapsed: 0.194 s
% 20.03/3.39 % (1106091)Peak memory usage: 12 MB
% 20.03/3.39 % (1106091)Instructions burned: 281 (million)
% 20.03/3.39 % (1106100)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=1061901442:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/130Mi)
% 20.03/3.39 % (1106102)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3935287244:st=1.5:i=346:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/346Mi)
% 20.03/3.39 % (1106100)Instruction limit reached!
% 20.03/3.39 % (1106100)------------------------------
% 20.03/3.39 % (1106100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.03/3.39 % (1106100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.03/3.39 % (1106100)CaDiCaL version: 2.1.3
% 20.03/3.39 % (1106100)Termination reason: Instruction limit
% 20.03/3.39 % (1106100)Termination phase: Saturation
% 20.03/3.39 % (1106100)Time elapsed: 0.136 s
% 20.03/3.39 % (1106100)Peak memory usage: 13 MB
% 20.03/3.39 % (1106100)Instructions burned: 130 (million)
% 20.03/3.39 % (1106099)Instruction limit reached!
% 20.03/3.39 % (1106099)------------------------------
% 20.03/3.39 % (1106099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.03/3.39 % (1106105)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=968405173:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2976 on theBenchmark for (2976ds/152Mi)
% 20.03/3.39 % (1106099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.03/3.39 % (1106099)CaDiCaL version: 2.1.3
% 20.03/3.39 % (1106099)Termination reason: Instruction limit
% 20.03/3.39 % (1106099)Termination phase: Saturation
% 20.03/3.39 % (1106099)Time elapsed: 0.210 s
% 20.03/3.39 % (1106099)Peak memory usage: 12 MB
% 20.03/3.39 % (1106099)Instructions burned: 212 (million)
% 20.03/3.39 % (1106107)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2554595186:i=75:ep=R:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/75Mi)
% 20.03/3.39 % (1106107)Instruction limit reached!
% 20.03/3.39 % (1106107)------------------------------
% 20.03/3.39 % (1106107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.03/3.39 % (1106107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.03/3.39 % (1106107)CaDiCaL version: 2.1.3
% 20.03/3.39 % (1106107)Termination reason: Instruction limit
% 20.03/3.39 % (1106107)Termination phase: Property scanning
% 20.03/3.39 % (1106107)Time elapsed: 0.034 s
% 20.03/3.39 % (1106107)Peak memory usage: 11 MB
% 20.03/3.39 % (1106107)Instructions burned: 77 (million)
% 20.03/3.39 % (1106109)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=3075589605:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/387Mi)
% 20.03/3.39 % (1106105)Instruction limit reached!
% 20.03/3.39 % (1106105)------------------------------
% 20.03/3.39 % (1106105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.80/3.74 % (1106105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.80/3.74 % (1106105)CaDiCaL version: 2.1.3
% 21.80/3.74 % (1106105)Termination reason: Instruction limit
% 21.80/3.74 % (1106105)Termination phase: Saturation
% 21.80/3.74 % (1106105)Time elapsed: 0.108 s
% 21.80/3.74 % (1106105)Peak memory usage: 12 MB
% 21.80/3.74 % (1106105)Instructions burned: 152 (million)
% 21.80/3.74 % (1106102)Instruction limit reached!
% 21.80/3.74 % (1106102)------------------------------
% 21.80/3.74 % (1106102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.80/3.74 % (1106102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.80/3.74 % (1106102)CaDiCaL version: 2.1.3
% 21.80/3.74 % (1106102)Termination reason: Instruction limit
% 21.80/3.74 % (1106102)Termination phase: Saturation
% 21.80/3.74 % (1106102)Time elapsed: 0.261 s
% 21.80/3.74 % (1106102)Peak memory usage: 16 MB
% 21.80/3.74 % (1106102)Instructions burned: 346 (million)
% 21.80/3.74 % (1106111)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=3555969781:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2975 on theBenchmark for (2975ds/148Mi)
% 21.80/3.74 % (1106097)Instruction limit reached!
% 21.80/3.74 % (1106097)------------------------------
% 21.80/3.74 % (1106097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.80/3.74 % (1106097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.80/3.74 % (1106097)CaDiCaL version: 2.1.3
% 21.80/3.74 % (1106097)Termination reason: Instruction limit
% 21.80/3.74 % (1106097)Termination phase: Saturation
% 21.80/3.74 % (1106097)Time elapsed: 0.406 s
% 21.80/3.74 % (1106097)Peak memory usage: 12 MB
% 21.80/3.74 % (1106097)Instructions burned: 866 (million)
% 21.80/3.74 % (1106112)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=2142185358:i=161:piset=and:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/161Mi)
% 21.80/3.74 % (1106114)lrs+10_1_sil=128000:si=on:random_seed=1869617852:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/888Mi)
% 21.80/3.74 % (1106111)Instruction limit reached!
% 21.80/3.74 % (1106111)------------------------------
% 21.80/3.74 % (1106111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.80/3.74 % (1106111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.80/3.74 % (1106111)CaDiCaL version: 2.1.3
% 21.80/3.74 % (1106111)Termination reason: Instruction limit
% 21.80/3.74 % (1106111)Termination phase: Saturation
% 21.80/3.74 % (1106111)Time elapsed: 0.075 s
% 21.80/3.74 % (1106111)Peak memory usage: 12 MB
% 21.80/3.74 % (1106111)Instructions burned: 150 (million)
% 21.80/3.74 % (1106117)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=1577659444:i=136:add=on:ins=4:rtra=on:sup=off_2974 on theBenchmark for (2974ds/136Mi)
% 21.80/3.74 % (1106112)Instruction limit reached!
% 21.80/3.74 % (1106112)------------------------------
% 21.80/3.74 % (1106112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.80/3.74 % (1106112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.80/3.74 % (1106112)CaDiCaL version: 2.1.3
% 21.80/3.74 % (1106112)Termination reason: Instruction limit
% 21.80/3.74 % (1106112)Termination phase: Saturation
% 21.80/3.74 % (1106112)Time elapsed: 0.093 s
% 21.80/3.74 % (1106112)Peak memory usage: 12 MB
% 21.80/3.74 % (1106112)Instructions burned: 163 (million)
% 21.80/3.74 % (1106120)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=2810503317:i=88:s2at=3:nm=2:rtra=on:rawr=on_2973 on theBenchmark for (2973ds/88Mi)
% 21.80/3.74 % (1106120)Instruction limit reached!
% 21.80/3.74 % (1106120)------------------------------
% 21.80/3.74 % (1106120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.80/3.74 % (1106120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.80/3.74 % (1106120)CaDiCaL version: 2.1.3
% 21.80/3.74 % (1106120)Termination reason: Instruction limit
% 21.80/3.74 % (1106120)Termination phase: Property scanning
% 21.80/3.74 % (1106120)Time elapsed: 0.037 s
% 21.80/3.74 % (1106120)Peak memory usage: 11 MB
% 21.80/3.74 % (1106120)Instructions burned: 88 (million)
% 21.80/3.74 % (1106123)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3132512772:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2973 on theBenchmark for (2973ds/93Mi)
% 23.33/4.00 % (1106123)Instruction limit reached!
% 23.33/4.00 % (1106123)------------------------------
% 23.33/4.00 % (1106123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.33/4.00 % (1106123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/4.00 % (1106123)CaDiCaL version: 2.1.3
% 23.33/4.00 % (1106123)Termination reason: Instruction limit
% 23.33/4.00 % (1106123)Termination phase: Property scanning
% 23.33/4.00 % (1106123)Time elapsed: 0.039 s
% 23.33/4.00 % (1106123)Peak memory usage: 11 MB
% 23.33/4.00 % (1106123)Instructions burned: 93 (million)
% 23.33/4.00 % (1106117)Instruction limit reached!
% 23.33/4.00 % (1106117)------------------------------
% 23.33/4.00 % (1106117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.33/4.00 % (1106117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/4.00 % (1106117)CaDiCaL version: 2.1.3
% 23.33/4.00 % (1106117)Termination reason: Instruction limit
% 23.33/4.00 % (1106117)Termination phase: Saturation
% 23.33/4.00 % (1106117)Time elapsed: 0.130 s
% 23.33/4.00 % (1106117)Peak memory usage: 12 MB
% 23.33/4.00 % (1106117)Instructions burned: 138 (million)
% 23.33/4.00 % (1106126)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3595549460:s2a=on:i=240:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/240Mi)
% 23.33/4.00 % (1106125)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3836107482:i=2186:rtra=on:ixr=off_2972 on theBenchmark for (2972ds/2186Mi)
% 23.33/4.00 % (1106109)Instruction limit reached!
% 23.33/4.00 % (1106109)------------------------------
% 23.33/4.00 % (1106109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.33/4.00 % (1106109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/4.00 % (1106109)CaDiCaL version: 2.1.3
% 23.33/4.00 % (1106109)Termination reason: Instruction limit
% 23.33/4.00 % (1106109)Termination phase: Saturation
% 23.33/4.00 % (1106109)Time elapsed: 0.323 s
% 23.33/4.00 % (1106109)Peak memory usage: 17 MB
% 23.33/4.00 % (1106109)Instructions burned: 388 (million)
% 23.33/4.00 % (1106129)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=2985065819:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2972 on theBenchmark for (2972ds/805Mi)
% 23.33/4.00 % (1106126)Instruction limit reached!
% 23.33/4.00 % (1106126)------------------------------
% 23.33/4.00 % (1106126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.33/4.00 % (1106126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/4.00 % (1106126)CaDiCaL version: 2.1.3
% 23.33/4.00 % (1106126)Termination reason: Instruction limit
% 23.33/4.00 % (1106126)Termination phase: Saturation
% 23.33/4.00 % (1106126)Time elapsed: 0.088 s
% 23.33/4.00 % (1106126)Peak memory usage: 12 MB
% 23.33/4.00 % (1106126)Instructions burned: 242 (million)
% 23.33/4.00 % (1106131)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 23.33/4.00 % (1106131)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=3569447201:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2971 on theBenchmark for (2971ds/391Mi)
% 23.33/4.01 % (1106089)Instruction limit reached!
% 23.33/4.01 % (1106089)------------------------------
% 23.33/4.01 % (1106089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.33/4.01 % (1106089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/4.01 % (1106089)CaDiCaL version: 2.1.3
% 23.33/4.01 % (1106089)Termination reason: Instruction limit
% 23.33/4.01 % (1106089)Termination phase: Saturation
% 23.33/4.01 % (1106089)Time elapsed: 0.967 s
% 23.33/4.01 % (1106089)Peak memory usage: 19 MB
% 23.33/4.01 % (1106089)Instructions burned: 1254 (million)
% 23.33/4.01 % (1106133)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=2791722477:i=355:av=off:fsr=off:rtra=on:ixr=off_2970 on theBenchmark for (2970ds/355Mi)
% 23.33/4.01 % (1106131)Instruction limit reached!
% 23.33/4.01 % (1106131)------------------------------
% 23.33/4.01 % (1106131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.33/4.01 % (1106131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/4.01 % (1106131)CaDiCaL version: 2.1.3
% 27.25/4.35 % (1106131)Termination reason: Instruction limit
% 27.25/4.35 % (1106131)Termination phase: Saturation
% 27.25/4.35 % (1106131)Time elapsed: 0.157 s
% 27.25/4.35 % (1106131)Peak memory usage: 12 MB
% 27.25/4.35 % (1106131)Instructions burned: 395 (million)
% 27.25/4.35 % (1106135)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=4084432494:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2969 on theBenchmark for (2969ds/314Mi)
% 27.25/4.35 % (1106114)Instruction limit reached!
% 27.25/4.35 % (1106114)------------------------------
% 27.25/4.35 % (1106114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.25/4.35 % (1106114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.25/4.35 % (1106114)CaDiCaL version: 2.1.3
% 27.25/4.35 % (1106114)Termination reason: Instruction limit
% 27.25/4.35 % (1106114)Termination phase: Saturation
% 27.25/4.35 % (1106114)Time elapsed: 0.610 s
% 27.25/4.35 % (1106114)Peak memory usage: 13 MB
% 27.25/4.35 % (1106114)Instructions burned: 888 (million)
% 27.25/4.35 % (1106135)Refutation not found, incomplete strategy
% 27.25/4.35 % (1106135)------------------------------
% 27.25/4.35 % (1106135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.25/4.35 % (1106135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.25/4.35 % (1106135)CaDiCaL version: 2.1.3
% 27.25/4.35 % (1106135)Termination reason: Refutation not found, incomplete strategy
% 27.25/4.35 % (1106135)Time elapsed: 0.115 s
% 27.25/4.35 % (1106135)Peak memory usage: 14 MB
% 27.25/4.35 % (1106135)Instructions burned: 253 (million)
% 27.25/4.35 % (1106135)------------------------------
% 27.25/4.35 % (1106135)------------------------------
% 27.25/4.35 % (1106139)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2754450082:s2a=on:i=251:fsr=off:rtra=on_2968 on theBenchmark for (2968ds/251Mi)
% 27.25/4.35 % (1106140)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=288978551:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2968 on theBenchmark for (2968ds/2470Mi)
% 27.25/4.35 % (1106133)Instruction limit reached!
% 27.25/4.35 % (1106133)------------------------------
% 27.25/4.35 % (1106133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.25/4.35 % (1106133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.25/4.35 % (1106133)CaDiCaL version: 2.1.3
% 27.25/4.35 % (1106133)Termination reason: Instruction limit
% 27.25/4.35 % (1106133)Termination phase: Saturation
% 27.25/4.35 % (1106133)Time elapsed: 0.246 s
% 27.25/4.35 % (1106133)Peak memory usage: 12 MB
% 27.25/4.35 % (1106133)Instructions burned: 355 (million)
% 27.25/4.35 % (1106143)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=2557907413:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2967 on theBenchmark for (2967ds/673Mi)
% 27.25/4.35 % (1106139)Instruction limit reached!
% 27.25/4.35 % (1106139)------------------------------
% 27.25/4.35 % (1106139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.25/4.35 % (1106139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.25/4.35 % (1106139)CaDiCaL version: 2.1.3
% 27.25/4.35 % (1106139)Termination reason: Instruction limit
% 27.25/4.35 % (1106139)Termination phase: Saturation
% 27.25/4.35 % (1106139)Time elapsed: 0.101 s
% 27.25/4.35 % (1106139)Peak memory usage: 12 MB
% 27.25/4.35 % (1106139)Instructions burned: 253 (million)
% 27.25/4.35 % (1106147)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2699931464:i=116:ep=RSTC:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/116Mi)
% 27.25/4.35 % (1106147)Instruction limit reached!
% 27.25/4.35 % (1106147)------------------------------
% 27.25/4.35 % (1106147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.25/4.35 % (1106147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.25/4.35 % (1106147)CaDiCaL version: 2.1.3
% 27.25/4.35 % (1106147)Termination reason: Instruction limit
% 27.25/4.35 % (1106147)Termination phase: Saturation
% 27.25/4.35 % (1106147)Time elapsed: 0.055 s
% 27.25/4.35 % (1106147)Peak memory usage: 12 MB
% 27.25/4.35 % (1106147)Instructions burned: 116 (million)
% 27.25/4.35 % (1106150)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3015895931:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2966 on theBenchmark for (2966ds/270Mi)
% 29.81/4.76 % (1106129)Instruction limit reached!
% 29.81/4.76 % (1106129)------------------------------
% 29.81/4.76 % (1106129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.81/4.76 % (1106129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.81/4.76 % (1106129)CaDiCaL version: 2.1.3
% 29.81/4.76 % (1106129)Termination reason: Instruction limit
% 29.81/4.76 % (1106129)Termination phase: Saturation
% 29.81/4.76 % (1106129)Time elapsed: 0.565 s
% 29.81/4.76 % (1106129)Peak memory usage: 19 MB
% 29.81/4.76 % (1106129)Instructions burned: 805 (million)
% 29.81/4.76 % (1106154)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=2823895298:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2966 on theBenchmark for (2966ds/30Mi)
% 29.81/4.76 % (1106154)Instruction limit reached!
% 29.81/4.76 % (1106154)------------------------------
% 29.81/4.76 % (1106154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.81/4.76 % (1106154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.81/4.76 % (1106154)CaDiCaL version: 2.1.3
% 29.81/4.76 % (1106154)Termination reason: Instruction limit
% 29.81/4.76 % (1106154)Termination phase: SInE selection
% 29.81/4.76 % (1106154)Time elapsed: 0.028 s
% 29.81/4.76 % (1106154)Peak memory usage: 10 MB
% 29.81/4.76 % (1106154)Instructions burned: 31 (million)
% 29.81/4.76 % (1106159)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 29.81/4.76 % (1106150)Instruction limit reached!
% 29.81/4.76 % (1106150)------------------------------
% 29.81/4.76 % (1106150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.81/4.76 % (1106150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.81/4.76 % (1106150)CaDiCaL version: 2.1.3
% 29.81/4.76 % (1106150)Termination reason: Instruction limit
% 29.81/4.76 % (1106150)Termination phase: Saturation
% 29.81/4.76 % (1106150)Time elapsed: 0.099 s
% 29.81/4.76 % (1106150)Peak memory usage: 12 MB
% 29.81/4.76 % (1106150)Instructions burned: 272 (million)
% 29.81/4.76 % (1106159)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=4236326234:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2965 on theBenchmark for (2965ds/39Mi)
% 29.81/4.76 % (1106160)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3336206090:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2965 on theBenchmark for (2965ds/365Mi)
% 29.81/4.76 % (1106159)Instruction limit reached!
% 29.81/4.76 % (1106159)------------------------------
% 29.81/4.76 % (1106159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.81/4.76 % (1106159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.81/4.76 % (1106159)CaDiCaL version: 2.1.3
% 29.81/4.76 % (1106159)Termination reason: Instruction limit
% 29.81/4.76 % (1106159)Termination phase: Function definition elimination
% 29.81/4.76 % (1106159)Time elapsed: 0.026 s
% 29.81/4.76 % (1106159)Peak memory usage: 10 MB
% 29.81/4.76 % (1106159)Instructions burned: 40 (million)
% 29.81/4.76 % (1106163)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1300438261:i=158:av=off:rtra=on_2964 on theBenchmark for (2964ds/158Mi)
% 29.81/4.76 % (1106160)Instruction limit reached!
% 29.81/4.76 % (1106160)------------------------------
% 29.81/4.76 % (1106160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.81/4.76 % (1106160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.81/4.76 % (1106160)CaDiCaL version: 2.1.3
% 29.81/4.76 % (1106160)Termination reason: Instruction limit
% 29.81/4.76 % (1106160)Termination phase: Saturation
% 29.81/4.76 % (1106160)Time elapsed: 0.146 s
% 29.81/4.76 % (1106160)Peak memory usage: 14 MB
% 29.81/4.76 % (1106160)Instructions burned: 366 (million)
% 29.81/4.76 % (1106143)Instruction limit reached!
% 29.81/4.76 % (1106143)------------------------------
% 29.81/4.76 % (1106143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.81/4.76 % (1106143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.81/4.76 % (1106143)CaDiCaL version: 2.1.3
% 29.81/4.76 % (1106143)Termination reason: Instruction limit
% 29.81/4.76 % (1106143)Termination phase: Saturation
% 31.24/4.93 % (1106143)Time elapsed: 0.420 s
% 31.24/4.93 % (1106143)Peak memory usage: 12 MB
% 31.24/4.93 % (1106143)Instructions burned: 675 (million)
% 31.24/4.93 % (1106165)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 31.24/4.93 % (1106165)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=2949147104:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2963 on theBenchmark for (2963ds/252Mi)
% 31.24/4.93 % (1106163)Instruction limit reached!
% 31.24/4.93 % (1106163)------------------------------
% 31.24/4.93 % (1106163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.24/4.93 % (1106163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.24/4.93 % (1106163)CaDiCaL version: 2.1.3
% 31.24/4.93 % (1106163)Termination reason: Instruction limit
% 31.24/4.93 % (1106163)Termination phase: Saturation
% 31.24/4.93 % (1106163)Time elapsed: 0.134 s
% 31.24/4.93 % (1106163)Peak memory usage: 13 MB
% 31.24/4.93 % (1106163)Instructions burned: 159 (million)
% 31.24/4.93 % (1106166)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=3542885748:i=213:rtra=on:ss=axioms_2963 on theBenchmark for (2963ds/213Mi)
% 31.24/4.93 % (1106168)dis+1010_28_sil=128000:tgt=full:plsq=on:plsqc=1:cnfonf=off:si=on:plsqr=128,1:uwa=off:slsqc=2:sac=on:slsq=on:random_seed=834821330:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2963 on theBenchmark for (2963ds/160Mi)
% 31.24/4.93 % (1106166)Refutation not found, incomplete strategy
% 31.24/4.93 % (1106166)------------------------------
% 31.24/4.93 % (1106166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.24/4.93 % (1106166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.24/4.93 % (1106166)CaDiCaL version: 2.1.3
% 31.24/4.93 % (1106166)Termination reason: Refutation not found, incomplete strategy
% 31.24/4.93 % (1106166)Time elapsed: 0.052 s
% 31.24/4.93 % (1106166)Peak memory usage: 13 MB
% 31.24/4.93 % (1106166)Instructions burned: 64 (million)
% 31.24/4.93 % (1106166)------------------------------
% 31.24/4.93 % (1106166)------------------------------
% 31.24/4.93 % (1106171)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=2140340716:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2962 on theBenchmark for (2962ds/763Mi)
% 31.24/4.93 % (1106168)Instruction limit reached!
% 31.24/4.93 % (1106168)------------------------------
% 31.24/4.93 % (1106168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.24/4.93 % (1106168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.24/4.93 % (1106168)CaDiCaL version: 2.1.3
% 31.24/4.93 % (1106168)Termination reason: Instruction limit
% 31.24/4.93 % (1106168)Termination phase: Saturation
% 31.24/4.93 % (1106168)Time elapsed: 0.088 s
% 31.24/4.93 % (1106168)Peak memory usage: 12 MB
% 31.24/4.93 % (1106168)Instructions burned: 160 (million)
% 31.24/4.93 % (1106173)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 31.24/4.93 % (1106173)ott+1010_40_sil=128000:tgt=full:plsq=on:plsqc=5:si=on:sos=all:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=3286737395:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2962 on theBenchmark for (2962ds/237Mi)
% 31.24/4.93 % (1106165)Instruction limit reached!
% 31.24/4.93 % (1106165)------------------------------
% 31.24/4.93 % (1106165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.24/4.93 % (1106165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.24/4.93 % (1106165)CaDiCaL version: 2.1.3
% 31.24/4.93 % (1106165)Termination reason: Instruction limit
% 31.24/4.93 % (1106165)Termination phase: Saturation
% 31.24/4.93 % (1106165)Time elapsed: 0.180 s
% 31.24/4.93 % (1106165)Peak memory usage: 12 MB
% 31.24/4.93 % (1106165)Instructions burned: 253 (million)
% 31.24/4.93 % (1106175)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=2981446147:s2a=on:i=386:rtra=on:ntd=on_2961 on theBenchmark for (2961ds/386Mi)
% 31.24/4.93 % (1106173)Instruction limit reached!
% 31.24/4.93 % (1106173)------------------------------
% 31.24/4.93 % (1106173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.27/5.11 % (1106173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.27/5.11 % (1106173)CaDiCaL version: 2.1.3
% 32.27/5.11 % (1106173)Termination reason: Instruction limit
% 32.27/5.11 % (1106173)Termination phase: Saturation
% 32.27/5.11 % (1106173)Time elapsed: 0.187 s
% 32.27/5.11 % (1106173)Peak memory usage: 14 MB
% 32.27/5.11 % (1106173)Instructions burned: 237 (million)
% 32.27/5.11 % (1106177)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=3917277727:i=300:piset=and:nm=32:rtra=on_2959 on theBenchmark for (2959ds/300Mi)
% 32.27/5.11 % (1106171)Instruction limit reached!
% 32.27/5.11 % (1106171)------------------------------
% 32.27/5.11 % (1106171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.27/5.11 % (1106171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.27/5.11 % (1106171)CaDiCaL version: 2.1.3
% 32.27/5.11 % (1106171)Termination reason: Instruction limit
% 32.27/5.11 % (1106171)Termination phase: Saturation
% 32.27/5.11 % (1106171)Time elapsed: 0.285 s
% 32.27/5.11 % (1106171)Peak memory usage: 13 MB
% 32.27/5.11 % (1106171)Instructions burned: 764 (million)
% 32.27/5.11 % (1106179)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=1630396109:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2959 on theBenchmark for (2959ds/567Mi)
% 32.27/5.11 % (1106175)Instruction limit reached!
% 32.27/5.11 % (1106175)------------------------------
% 32.27/5.11 % (1106175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.27/5.11 % (1106175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.27/5.11 % (1106175)CaDiCaL version: 2.1.3
% 32.27/5.11 % (1106175)Termination reason: Instruction limit
% 32.27/5.11 % (1106175)Termination phase: Saturation
% 32.27/5.11 % (1106175)Time elapsed: 0.265 s
% 32.27/5.11 % (1106175)Peak memory usage: 13 MB
% 32.27/5.11 % (1106175)Instructions burned: 386 (million)
% 32.27/5.11 % (1106181)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=4082068098:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2958 on theBenchmark for (2958ds/379Mi)
% 32.27/5.11 % (1106177)Instruction limit reached!
% 32.27/5.11 % (1106177)------------------------------
% 32.27/5.11 % (1106177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.27/5.11 % (1106177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.27/5.11 % (1106177)CaDiCaL version: 2.1.3
% 32.27/5.11 % (1106177)Termination reason: Instruction limit
% 32.27/5.11 % (1106177)Termination phase: Saturation
% 32.27/5.11 % (1106177)Time elapsed: 0.153 s
% 32.27/5.11 % (1106177)Peak memory usage: 12 MB
% 32.27/5.11 % (1106177)Instructions burned: 301 (million)
% 32.27/5.11 % (1106183)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3193653223:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2958 on theBenchmark for (2958ds/429Mi)
% 32.27/5.11 % (1106125)Instruction limit reached!
% 32.27/5.11 % (1106125)------------------------------
% 32.27/5.11 % (1106125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.27/5.11 % (1106125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.27/5.11 % (1106125)CaDiCaL version: 2.1.3
% 32.27/5.11 % (1106125)Termination reason: Instruction limit
% 32.27/5.11 % (1106125)Termination phase: Saturation
% 32.27/5.11 % (1106125)Time elapsed: 1.448 s
% 32.27/5.11 % (1106125)Peak memory usage: 12 MB
% 32.27/5.11 % (1106125)Instructions burned: 2186 (million)
% 32.27/5.11 % (1106185)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=2321179062:i=478:bd=all:rtra=on_2957 on theBenchmark for (2957ds/478Mi)
% 32.27/5.11 % (1106179)Instruction limit reached!
% 32.27/5.11 % (1106179)------------------------------
% 32.27/5.11 % (1106179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.27/5.11 % (1106179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.27/5.11 % (1106179)CaDiCaL version: 2.1.3
% 32.27/5.11 % (1106179)Termination reason: Instruction limit
% 32.27/5.11 % (1106179)Termination phase: Saturation
% 32.27/5.11 % (1106179)Time elapsed: 0.203 s
% 32.27/5.11 % (1106179)Peak memory usage: 12 MB
% 32.27/5.11 % (1106179)Instructions burned: 569 (million)
% 32.27/5.11 % (1106188)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1558485147:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2957 on theBenchmark for (2957ds/445Mi)
% 32.27/5.11 % (1106181)Instruction limit reached!
% 32.27/5.11 % (1106181)------------------------------
% 32.27/5.11 % (1106181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.08/5.52 % (1106181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.08/5.52 % (1106181)CaDiCaL version: 2.1.3
% 35.08/5.52 % (1106181)Termination reason: Instruction limit
% 35.08/5.52 % (1106181)Termination phase: Saturation
% 35.08/5.52 % (1106181)Time elapsed: 0.236 s
% 35.08/5.52 % (1106181)Peak memory usage: 13 MB
% 35.08/5.52 % (1106181)Instructions burned: 380 (million)
% 35.08/5.52 % (1106191)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3322778597:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2955 on theBenchmark for (2955ds/71Mi)
% 35.08/5.52 % (1106188)Instruction limit reached!
% 35.08/5.52 % (1106188)------------------------------
% 35.08/5.52 % (1106188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.08/5.52 % (1106188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.08/5.52 % (1106188)CaDiCaL version: 2.1.3
% 35.08/5.52 % (1106188)Termination reason: Instruction limit
% 35.08/5.52 % (1106188)Termination phase: Saturation
% 35.08/5.52 % (1106188)Time elapsed: 0.161 s
% 35.08/5.52 % (1106188)Peak memory usage: 13 MB
% 35.08/5.52 % (1106188)Instructions burned: 447 (million)
% 35.08/5.52 % (1106193)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3346841227:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2955 on theBenchmark for (2955ds/302Mi)
% 35.08/5.52 % (1106191)Instruction limit reached!
% 35.08/5.52 % (1106191)------------------------------
% 35.08/5.52 % (1106191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.08/5.52 % (1106191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.08/5.52 % (1106191)CaDiCaL version: 2.1.3
% 35.08/5.52 % (1106191)Termination reason: Instruction limit
% 35.08/5.52 % (1106191)Termination phase: Property scanning
% 35.08/5.52 % (1106191)Time elapsed: 0.047 s
% 35.08/5.52 % (1106191)Peak memory usage: 11 MB
% 35.08/5.52 % (1106191)Instructions burned: 72 (million)
% 35.08/5.52 % (1106183)Instruction limit reached!
% 35.08/5.52 % (1106183)------------------------------
% 35.08/5.52 % (1106183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.08/5.52 % (1106183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.08/5.52 % (1106183)CaDiCaL version: 2.1.3
% 35.08/5.52 % (1106183)Termination reason: Instruction limit
% 35.08/5.52 % (1106183)Termination phase: Saturation
% 35.08/5.52 % (1106183)Time elapsed: 0.297 s
% 35.08/5.52 % (1106183)Peak memory usage: 12 MB
% 35.08/5.52 % (1106183)Instructions burned: 430 (million)
% 35.08/5.52 % (1106195)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=1192549472:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2955 on theBenchmark for (2955ds/4980Mi)
% 35.08/5.52 % (1106196)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
% 35.08/5.52 % (1106196)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 35.08/5.52 % (1106196)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1124709905:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2954 on theBenchmark for (2954ds/100Mi)
% 35.08/5.52 % (1106195)Refutation not found, incomplete strategy
% 35.08/5.52 % (1106195)------------------------------
% 35.08/5.52 % (1106195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.08/5.52 % (1106195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.08/5.52 % (1106195)CaDiCaL version: 2.1.3
% 35.08/5.52 % (1106195)Termination reason: Refutation not found, incomplete strategy
% 35.08/5.52 % (1106195)Time elapsed: 0.053 s
% 35.08/5.52 % (1106195)Peak memory usage: 13 MB
% 35.08/5.52 % (1106195)Instructions burned: 54 (million)
% 35.08/5.52 % (1106195)------------------------------
% 35.08/5.52 % (1106195)------------------------------
% 35.08/5.52 % (1106196)Instruction limit reached!
% 35.08/5.52 % (1106196)------------------------------
% 35.08/5.52 % (1106196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.08/5.52 % (1106196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.08/5.52 % (1106196)CaDiCaL version: 2.1.3
% 35.08/5.52 % (1106196)Termination reason: Instruction limit
% 35.08/5.52 % (1106196)Termination phase: Property scanning
% 37.11/5.81 % (1106196)Time elapsed: 0.046 s
% 37.11/5.81 % (1106196)Peak memory usage: 11 MB
% 37.11/5.81 % (1106196)Instructions burned: 102 (million)
% 37.11/5.81 % (1106185)Instruction limit reached!
% 37.11/5.81 % (1106185)------------------------------
% 37.11/5.81 % (1106185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.11/5.81 % (1106185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.11/5.81 % (1106185)CaDiCaL version: 2.1.3
% 37.11/5.81 % (1106185)Termination reason: Instruction limit
% 37.11/5.81 % (1106185)Termination phase: Saturation
% 37.11/5.81 % (1106185)Time elapsed: 0.331 s
% 37.11/5.81 % (1106185)Peak memory usage: 13 MB
% 37.11/5.81 % (1106185)Instructions burned: 479 (million)
% 37.11/5.81 % (1106200)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=1085493723:i=289:rtra=on_2954 on theBenchmark for (2954ds/289Mi)
% 37.11/5.81 % (1106193)Instruction limit reached!
% 37.11/5.81 % (1106193)------------------------------
% 37.11/5.81 % (1106193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.11/5.81 % (1106193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.11/5.81 % (1106193)CaDiCaL version: 2.1.3
% 37.11/5.81 % (1106193)Termination reason: Instruction limit
% 37.11/5.81 % (1106193)Termination phase: Saturation
% 37.11/5.81 % (1106193)Time elapsed: 0.139 s
% 37.11/5.81 % (1106193)Peak memory usage: 14 MB
% 37.11/5.81 % (1106193)Instructions burned: 303 (million)
% 37.11/5.81 % (1106199)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=2475287755:i=76:piset=equals:rtra=on:ntd=on_2954 on theBenchmark for (2954ds/76Mi)
% 37.11/5.81 % (1106201)lrs+2_64_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_first:bsr=unit_only:cbe=off:uwa=interpreted_only:nwc=0.5:slsqc=5:sac=on:slsq=on:random_seed=403124103:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2953 on theBenchmark for (2953ds/493Mi)
% 37.11/5.81 % (1106203)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=926843523:cond=on:i=34:hud=10:nm=10:rtra=on_2953 on theBenchmark for (2953ds/34Mi)
% 37.11/5.81 % (1106203)Instruction limit reached!
% 37.11/5.81 % (1106203)------------------------------
% 37.11/5.81 % (1106203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.11/5.81 % (1106203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.11/5.81 % (1106203)CaDiCaL version: 2.1.3
% 37.11/5.81 % (1106203)Termination reason: Instruction limit
% 37.11/5.81 % (1106203)Termination phase: Property scanning
% 37.11/5.81 % (1106203)Time elapsed: 0.015 s
% 37.11/5.81 % (1106203)Peak memory usage: 10 MB
% 37.11/5.81 % (1106203)Instructions burned: 35 (million)
% 37.11/5.81 % (1106207)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 37.11/5.81 % (1106207)dis+1010_1_to=lpo:irw=on:plsq=on:drc=ordering:plsqc=4:cnfonf=lazy_simp:si=on:sp=reverse_frequency:sos=on:plsqr=32,1:cbe=off:uwa=off:rp=on:lwlo=on:random_seed=1216770349:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2953 on theBenchmark for (2953ds/372Mi)
% 37.11/5.81 % (1106199)Instruction limit reached!
% 37.11/5.81 % (1106199)------------------------------
% 37.11/5.81 % (1106199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.11/5.81 % (1106199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.11/5.81 % (1106199)CaDiCaL version: 2.1.3
% 37.11/5.81 % (1106199)Termination reason: Instruction limit
% 37.11/5.81 % (1106199)Termination phase: Property scanning
% 37.11/5.81 % (1106199)Time elapsed: 0.054 s
% 37.11/5.81 % (1106199)Peak memory usage: 11 MB
% 37.11/5.81 % (1106199)Instructions burned: 76 (million)
% 37.11/5.81 % (1106209)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=554153435:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2953 on theBenchmark for (2953ds/670Mi)
% 37.11/5.81 % (1106200)Instruction limit reached!
% 37.11/5.81 % (1106200)------------------------------
% 37.11/5.81 % (1106200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.11/5.81 % (1106200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.11/5.81 % (1106200)CaDiCaL version: 2.1.3
% 37.11/5.81 % (1106200)Termination reason: Instruction limit
% 37.11/5.81 % (1106200)Termination phase: Saturation
% 37.11/5.81 % (1106200)Time elapsed: 0.154 s
% 37.67/6.12 % (1106200)Peak memory usage: 12 MB
% 37.67/6.12 % (1106200)Instructions burned: 289 (million)
% 37.67/6.12 % (1106211)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=610696759:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2952 on theBenchmark for (2952ds/647Mi)
% 37.67/6.12 % (1106207)Instruction limit reached!
% 37.67/6.12 % (1106207)------------------------------
% 37.67/6.12 % (1106207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.67/6.12 % (1106207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.67/6.12 % (1106207)CaDiCaL version: 2.1.3
% 37.67/6.12 % (1106207)Termination reason: Instruction limit
% 37.67/6.12 % (1106207)Termination phase: Saturation
% 37.67/6.12 % (1106207)Time elapsed: 0.135 s
% 37.67/6.12 % (1106207)Peak memory usage: 13 MB
% 37.67/6.12 % (1106207)Instructions burned: 373 (million)
% 37.67/6.12 % (1106213)dis+10_128_sil=128000:tgt=full:plsq=on:plsqc=3:cnfonf=off:si=on:sp=arity:spb=goal_then_units:uwa=one_side_interpreted:nwc=1.5:random_seed=4282603285:i=857:add=off:kws=frequency:rtra=on:ntd=on_2952 on theBenchmark for (2952ds/857Mi)
% 37.67/6.12 % (1106140)Instruction limit reached!
% 37.67/6.12 % (1106140)------------------------------
% 37.67/6.12 % (1106140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.67/6.12 % (1106140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.67/6.12 % (1106140)CaDiCaL version: 2.1.3
% 37.67/6.12 % (1106140)Termination reason: Instruction limit
% 37.67/6.12 % (1106140)Termination phase: Saturation
% 37.67/6.12 % (1106140)Time elapsed: 1.643 s
% 37.67/6.12 % (1106140)Peak memory usage: 12 MB
% 37.67/6.12 % (1106140)Instructions burned: 2470 (million)
% 37.67/6.12 % (1106215)dis+1010_4_anc=all_dependent:to=lpo:sil=128000:fde=unused:cnfonf=conj_eager:si=on:sp=reverse_frequency:lma=off:spb=intro:cbe=off:uwa=off:random_seed=1092568311:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2951 on theBenchmark for (2951ds/693Mi)
% 37.67/6.12 % (1106201)Instruction limit reached!
% 37.67/6.12 % (1106201)------------------------------
% 37.67/6.12 % (1106201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.67/6.12 % (1106201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.67/6.12 % (1106201)CaDiCaL version: 2.1.3
% 37.67/6.12 % (1106201)Termination reason: Instruction limit
% 37.67/6.12 % (1106201)Termination phase: Saturation
% 37.67/6.12 % (1106201)Time elapsed: 0.326 s
% 37.67/6.12 % (1106201)Peak memory usage: 12 MB
% 37.67/6.12 % (1106201)Instructions burned: 493 (million)
% 37.67/6.12 % (1106217)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=1381732817:i=285:hud=10:bd=all:rtra=on:ss=axioms_2950 on theBenchmark for (2950ds/285Mi)
% 37.67/6.12 % (1106213)Refutation not found, incomplete strategy
% 37.67/6.12 % (1106213)------------------------------
% 37.67/6.12 % (1106213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.67/6.12 % (1106213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.67/6.12 % (1106213)CaDiCaL version: 2.1.3
% 37.67/6.12 % (1106213)Termination reason: Refutation not found, incomplete strategy
% 37.67/6.12 % (1106213)Time elapsed: 0.275 s
% 37.67/6.12 % (1106213)Peak memory usage: 18 MB
% 37.67/6.12 % (1106213)Instructions burned: 564 (million)
% 37.67/6.12 % (1106213)------------------------------
% 37.67/6.12 % (1106213)------------------------------
% 37.67/6.12 % (1106219)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 37.67/6.12 % (1106219)dis+1002_50_to=kbo:sil=128000:tgt=ground:plsq=on:plsqc=1:si=on:sp=occurrence:plsqr=64,1:nwc=3:flr=on:chr=on:random_seed=2927878781:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2949 on theBenchmark for (2949ds/52Mi)
% 37.67/6.12 % (1106219)Instruction limit reached!
% 37.67/6.12 % (1106219)------------------------------
% 37.67/6.12 % (1106219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.67/6.12 % (1106219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.67/6.12 % (1106219)CaDiCaL version: 2.1.3
% 37.67/6.12 % (1106219)Termination reason: Instruction limit
% 37.67/6.12 % (1106219)Termination phase: Function definition elimination
% 37.67/6.12 % (1106219)Time elapsed: 0.024 s
% 37.67/6.12 % (1106219)Peak memory usage: 11 MB
% 37.67/6.12 % (1106219)Instructions burned: 53 (million)
% 37.67/6.12 % (1106221)dis+10_1_si=on:random_seed=787570509:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2948 on theBenchmark for (2948ds/407Mi)
% 43.40/6.61 % (1106215)Instruction limit reached!
% 43.40/6.61 % (1106215)------------------------------
% 43.40/6.61 % (1106215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.40/6.61 % (1106215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.40/6.61 % (1106215)CaDiCaL version: 2.1.3
% 43.40/6.61 % (1106215)Termination reason: Instruction limit
% 43.40/6.61 % (1106215)Termination phase: Saturation
% 43.40/6.61 % (1106215)Time elapsed: 0.309 s
% 43.40/6.61 % (1106215)Peak memory usage: 15 MB
% 43.40/6.61 % (1106215)Instructions burned: 695 (million)
% 43.40/6.61 % (1106209)Instruction limit reached!
% 43.40/6.61 % (1106209)------------------------------
% 43.40/6.61 % (1106209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.40/6.61 % (1106209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.40/6.61 % (1106209)CaDiCaL version: 2.1.3
% 43.40/6.61 % (1106209)Termination reason: Instruction limit
% 43.40/6.61 % (1106209)Termination phase: Saturation
% 43.40/6.61 % (1106209)Time elapsed: 0.494 s
% 43.40/6.61 % (1106209)Peak memory usage: 15 MB
% 43.40/6.61 % (1106209)Instructions burned: 670 (million)
% 43.40/6.61 % (1106223)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=162139227:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2948 on theBenchmark for (2948ds/2240Mi)
% 43.40/6.61 % (1106217)Instruction limit reached!
% 43.40/6.61 % (1106217)------------------------------
% 43.40/6.61 % (1106217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.40/6.61 % (1106217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.40/6.61 % (1106217)CaDiCaL version: 2.1.3
% 43.40/6.61 % (1106217)Termination reason: Instruction limit
% 43.40/6.61 % (1106217)Termination phase: Saturation
% 43.40/6.61 % (1106217)Time elapsed: 0.221 s
% 43.40/6.61 % (1106217)Peak memory usage: 15 MB
% 43.40/6.61 % (1106217)Instructions burned: 286 (million)
% 43.40/6.61 % (1106225)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=467171766:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2948 on theBenchmark for (2948ds/336Mi)
% 43.40/6.61 % (1106226)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=1084776815:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2947 on theBenchmark for (2947ds/1142Mi)
% 43.40/6.61 % (1106225)Instruction limit reached!
% 43.40/6.61 % (1106225)------------------------------
% 43.40/6.61 % (1106225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.40/6.61 % (1106225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.40/6.61 % (1106225)CaDiCaL version: 2.1.3
% 43.40/6.61 % (1106225)Termination reason: Instruction limit
% 43.40/6.61 % (1106225)Termination phase: Saturation
% 43.40/6.61 % (1106225)Time elapsed: 0.146 s
% 43.40/6.61 % (1106225)Peak memory usage: 13 MB
% 43.40/6.61 % (1106225)Instructions burned: 338 (million)
% 43.40/6.61 % (1106211)Instruction limit reached!
% 43.40/6.61 % (1106211)------------------------------
% 43.40/6.61 % (1106211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.40/6.61 % (1106211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.40/6.61 % (1106211)CaDiCaL version: 2.1.3
% 43.40/6.61 % (1106211)Termination reason: Instruction limit
% 43.40/6.61 % (1106211)Termination phase: Saturation
% 43.40/6.61 % (1106211)Time elapsed: 0.574 s
% 43.40/6.61 % (1106211)Peak memory usage: 16 MB
% 43.40/6.61 % (1106211)Instructions burned: 647 (million)
% 43.40/6.61 % (1106230)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=3549318471:i=766:bd=all:rtra=on_2946 on theBenchmark for (2946ds/766Mi)
% 43.40/6.61 % (1106229)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=4238765493:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2946 on theBenchmark for (2946ds/376Mi)
% 43.40/6.61 % (1106221)Instruction limit reached!
% 43.40/6.61 % (1106221)------------------------------
% 43.40/6.61 % (1106221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.40/6.61 % (1106221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.40/6.61 % (1106221)CaDiCaL version: 2.1.3
% 43.40/6.61 % (1106221)Termination reason: Instruction limit
% 43.40/6.61 % (1106221)Termination phase: Saturation
% 43.40/6.61 % (1106221)Time elapsed: 0.291 s
% 43.40/6.61 % (1106221)Peak memory usage: 13 MB
% 45.57/6.93 % (1106221)Instructions burned: 407 (million)
% 45.57/6.93 % (1106233)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 45.57/6.93 % (1106032)Instruction limit reached!
% 45.57/6.93 % (1106032)------------------------------
% 45.57/6.93 % (1106032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.57/6.93 % (1106032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.57/6.93 % (1106032)CaDiCaL version: 2.1.3
% 45.57/6.93 % (1106032)Termination reason: Instruction limit
% 45.57/6.93 % (1106032)Termination phase: Saturation
% 45.57/6.93 % (1106032)Time elapsed: 4.429 s
% 45.57/6.93 % (1106032)Peak memory usage: 21 MB
% 45.57/6.93 % (1106032)Instructions burned: 5756 (million)
% 45.57/6.93 % (1106233)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=1303044147:st=3:uwa_fpi=on:i=959:fgj=on:piset=pi_sigma:hud=5:nm=16:rtra=on:fe=abstraction:ss=axioms:ixr=off:ntd=on_2945 on theBenchmark for (2945ds/959Mi)
% 45.57/6.93 % (1106235)dis+1010_1024_sil=128000:plsq=on:plsqc=1:e2e=on:si=on:lma=off:plsqr=64,1:uwa=interpreted_only:fd=off:random_seed=1813194040:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2945 on theBenchmark for (2945ds/6359Mi)
% 45.57/6.93 % (1106229)Instruction limit reached!
% 45.57/6.93 % (1106229)------------------------------
% 45.57/6.93 % (1106229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.57/6.93 % (1106229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.57/6.93 % (1106229)CaDiCaL version: 2.1.3
% 45.57/6.93 % (1106229)Termination reason: Instruction limit
% 45.57/6.93 % (1106229)Termination phase: Saturation
% 45.57/6.93 % (1106229)Time elapsed: 0.270 s
% 45.57/6.93 % (1106229)Peak memory usage: 12 MB
% 45.57/6.93 % (1106229)Instructions burned: 377 (million)
% 45.57/6.93 % (1106237)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1611935390:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2943 on theBenchmark for (2943ds/35Mi)
% 45.57/6.93 % (1106237)Instruction limit reached!
% 45.57/6.93 % (1106237)------------------------------
% 45.57/6.93 % (1106237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.57/6.93 % (1106237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.57/6.93 % (1106237)CaDiCaL version: 2.1.3
% 45.57/6.93 % (1106237)Termination reason: Instruction limit
% 45.57/6.93 % (1106237)Termination phase: Property scanning
% 45.57/6.93 % (1106237)Time elapsed: 0.018 s
% 45.57/6.93 % (1106237)Peak memory usage: 11 MB
% 45.57/6.93 % (1106237)Instructions burned: 37 (million)
% 45.57/6.93 % (1106230)Instruction limit reached!
% 45.57/6.93 % (1106230)------------------------------
% 45.57/6.93 % (1106230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.57/6.93 % (1106230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.57/6.93 % (1106230)CaDiCaL version: 2.1.3
% 45.57/6.93 % (1106230)Termination reason: Instruction limit
% 45.57/6.93 % (1106230)Termination phase: Saturation
% 45.57/6.93 % (1106230)Time elapsed: 0.329 s
% 45.57/6.93 % (1106230)Peak memory usage: 13 MB
% 45.57/6.93 % (1106230)Instructions burned: 769 (million)
% 45.57/6.93 % (1106239)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=1523033578:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2942 on theBenchmark for (2942ds/53Mi)
% 45.57/6.93 % (1106239)Instruction limit reached!
% 45.57/6.93 % (1106239)------------------------------
% 45.57/6.93 % (1106239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.57/6.93 % (1106239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.57/6.93 % (1106239)CaDiCaL version: 2.1.3
% 45.57/6.93 % (1106239)Termination reason: Instruction limit
% 45.57/6.93 % (1106239)Termination phase: Function definition elimination
% 45.57/6.93 % (1106239)Time elapsed: 0.025 s
% 45.57/6.93 % (1106239)Peak memory usage: 10 MB
% 45.57/6.93 % (1106239)Instructions burned: 53 (million)
% 45.57/6.93 % (1106240)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=63349132:s2a=on:i=876:s2at=6:nm=2:rtra=on_2942 on theBenchmark for (2942ds/876Mi)
% 45.57/6.93 % (1106242)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3736449049:i=57:ep=R:rtra=on:ntd=on_2942 on theBenchmark for (2942ds/57Mi)
% 47.56/7.21 % (1106242)Instruction limit reached!
% 47.56/7.21 % (1106242)------------------------------
% 47.56/7.21 % (1106242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.56/7.21 % (1106242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.56/7.21 % (1106242)CaDiCaL version: 2.1.3
% 47.56/7.21 % (1106242)Termination reason: Instruction limit
% 47.56/7.21 % (1106242)Termination phase: Function definition elimination
% 47.56/7.21 % (1106242)Time elapsed: 0.023 s
% 47.56/7.21 % (1106242)Peak memory usage: 10 MB
% 47.56/7.21 % (1106242)Instructions burned: 58 (million)
% 47.56/7.21 % (1106245)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 47.56/7.21 % (1106245)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=831123146:i=306:bd=all:rtra=on_2941 on theBenchmark for (2941ds/306Mi)
% 47.56/7.21 % (1106245)Instruction limit reached!
% 47.56/7.21 % (1106245)------------------------------
% 47.56/7.21 % (1106245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.56/7.21 % (1106245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.56/7.21 % (1106245)CaDiCaL version: 2.1.3
% 47.56/7.21 % (1106245)Termination reason: Instruction limit
% 47.56/7.21 % (1106245)Termination phase: Saturation
% 47.56/7.21 % (1106245)Time elapsed: 0.127 s
% 47.56/7.21 % (1106245)Peak memory usage: 13 MB
% 47.56/7.21 % (1106245)Instructions burned: 307 (million)
% 47.56/7.21 % (1106249)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1498779293:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2940 on theBenchmark for (2940ds/262Mi)
% 47.56/7.21 % (1106249)Instruction limit reached!
% 47.56/7.21 % (1106249)------------------------------
% 47.56/7.21 % (1106249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.56/7.21 % (1106249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.56/7.21 % (1106249)CaDiCaL version: 2.1.3
% 47.56/7.21 % (1106249)Termination reason: Instruction limit
% 47.56/7.21 % (1106249)Termination phase: Saturation
% 47.56/7.21 % (1106249)Time elapsed: 0.109 s
% 47.56/7.21 % (1106249)Peak memory usage: 14 MB
% 47.56/7.21 % (1106249)Instructions burned: 264 (million)
% 47.56/7.21 % (1106251)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 47.56/7.21 % (1106251)ott+1002_16_sil=128000:si=on:random_seed=3838605401:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2939 on theBenchmark for (2939ds/409Mi)
% 47.56/7.21 % (1106233)Instruction limit reached!
% 47.56/7.21 % (1106233)------------------------------
% 47.56/7.21 % (1106233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.56/7.21 % (1106233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.56/7.21 % (1106233)CaDiCaL version: 2.1.3
% 47.56/7.21 % (1106233)Termination reason: Instruction limit
% 47.56/7.21 % (1106233)Termination phase: Saturation
% 47.56/7.21 % (1106233)Time elapsed: 0.653 s
% 47.56/7.21 % (1106233)Peak memory usage: 13 MB
% 47.56/7.21 % (1106233)Instructions burned: 959 (million)
% 47.56/7.21 % (1106253)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=1736219082:s2a=on:i=381:rtra=on_2938 on theBenchmark for (2938ds/381Mi)
% 47.56/7.21 % (1106226)Instruction limit reached!
% 47.56/7.21 % (1106226)------------------------------
% 47.56/7.21 % (1106226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.56/7.21 % (1106226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.56/7.21 % (1106226)CaDiCaL version: 2.1.3
% 47.56/7.21 % (1106226)Termination reason: Instruction limit
% 47.56/7.21 % (1106226)Termination phase: Saturation
% 47.56/7.21 % (1106226)Time elapsed: 0.952 s
% 47.56/7.21 % (1106226)Peak memory usage: 21 MB
% 47.56/7.21 % (1106226)Instructions burned: 1143 (million)
% 47.56/7.21 % (1106255)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1201543416:cond=on:i=324:rtra=on:ntd=on_2938 on theBenchmark for (2938ds/324Mi)
% 47.56/7.21 % (1106251)Instruction limit reached!
% 47.56/7.21 % (1106251)------------------------------
% 47.56/7.21 % (1106251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.56/7.21 % (1106251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.56/7.21 % (1106251)CaDiCaL version: 2.1.3
% 47.56/7.21 % (1106251)Termination reason: Instruction limit
% 47.56/7.21 % (1106251)Termination phase: Saturation
% 48.93/7.47 % (1106251)Time elapsed: 0.158 s
% 48.93/7.47 % (1106251)Peak memory usage: 12 MB
% 48.93/7.47 % (1106251)Instructions burned: 411 (million)
% 48.93/7.47 % (1106257)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=1483434011:i=240:kws=inv_precedence:rtra=on_2937 on theBenchmark for (2937ds/240Mi)
% 48.93/7.47 % (1106255)Instruction limit reached!
% 48.93/7.47 % (1106255)------------------------------
% 48.93/7.47 % (1106255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.93/7.47 % (1106255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.93/7.47 % (1106255)CaDiCaL version: 2.1.3
% 48.93/7.47 % (1106255)Termination reason: Instruction limit
% 48.93/7.47 % (1106255)Termination phase: Saturation
% 48.93/7.47 % (1106255)Time elapsed: 0.192 s
% 48.93/7.47 % (1106255)Peak memory usage: 15 MB
% 48.93/7.47 % (1106255)Instructions burned: 326 (million)
% 48.93/7.47 % (1106259)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 48.93/7.47 % (1106259)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1585973783:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2935 on theBenchmark for (2935ds/124Mi)
% 48.93/7.47 % (1106253)Instruction limit reached!
% 48.93/7.47 % (1106253)------------------------------
% 48.93/7.47 % (1106253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.93/7.47 % (1106253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.93/7.47 % (1106253)CaDiCaL version: 2.1.3
% 48.93/7.47 % (1106253)Termination reason: Instruction limit
% 48.93/7.47 % (1106253)Termination phase: Saturation
% 48.93/7.47 % (1106253)Time elapsed: 0.262 s
% 48.93/7.47 % (1106253)Peak memory usage: 12 MB
% 48.93/7.47 % (1106253)Instructions burned: 382 (million)
% 48.93/7.47 % (1106261)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=2423886191:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2935 on theBenchmark for (2935ds/223Mi)
% 48.93/7.47 % (1106259)Instruction limit reached!
% 48.93/7.47 % (1106259)------------------------------
% 48.93/7.47 % (1106259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.93/7.47 % (1106259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.93/7.47 % (1106259)CaDiCaL version: 2.1.3
% 48.93/7.47 % (1106259)Termination reason: Instruction limit
% 48.93/7.47 % (1106259)Termination phase: Saturation
% 48.93/7.47 % (1106259)Time elapsed: 0.051 s
% 48.93/7.47 % (1106259)Peak memory usage: 12 MB
% 48.93/7.47 % (1106259)Instructions burned: 124 (million)
% 48.93/7.47 % (1106257)Instruction limit reached!
% 48.93/7.47 % (1106257)------------------------------
% 48.93/7.47 % (1106257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.93/7.47 % (1106257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.93/7.47 % (1106257)CaDiCaL version: 2.1.3
% 48.93/7.47 % (1106257)Termination reason: Instruction limit
% 48.93/7.47 % (1106257)Termination phase: Saturation
% 48.93/7.47 % (1106257)Time elapsed: 0.203 s
% 48.93/7.47 % (1106257)Peak memory usage: 14 MB
% 48.93/7.47 % (1106257)Instructions burned: 241 (million)
% 48.93/7.47 % (1106240)Instruction limit reached!
% 48.93/7.47 % (1106240)------------------------------
% 48.93/7.47 % (1106240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.93/7.47 % (1106240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.93/7.47 % (1106240)CaDiCaL version: 2.1.3
% 48.93/7.47 % (1106240)Termination reason: Instruction limit
% 48.93/7.47 % (1106240)Termination phase: Saturation
% 48.93/7.47 % (1106240)Time elapsed: 0.742 s
% 48.93/7.47 % (1106240)Peak memory usage: 17 MB
% 48.93/7.47 % (1106240)Instructions burned: 877 (million)
% 48.93/7.47 % (1106263)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=900204051:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2935 on theBenchmark for (2935ds/282Mi)
% 48.93/7.47 % (1106264)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=2014771059:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2935 on theBenchmark for (2935ds/464Mi)
% 48.93/7.47 % (1106265)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=1773820288:i=88:s2at=3:nm=2:rtra=on:rawr=on_2934 on theBenchmark for (2934ds/88Mi)
% 48.93/7.47 % (1106261)Instruction limit reached!
% 48.93/7.47 % (1106261)------------------------------
% 48.93/7.47 % (1106261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.71/8.04 % (1106261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.71/8.04 % (1106261)CaDiCaL version: 2.1.3
% 52.71/8.04 % (1106261)Termination reason: Instruction limit
% 52.71/8.04 % (1106261)Termination phase: Saturation
% 52.71/8.04 % (1106261)Time elapsed: 0.110 s
% 52.71/8.04 % (1106261)Peak memory usage: 12 MB
% 52.71/8.04 % (1106261)Instructions burned: 225 (million)
% 52.71/8.04 % (1106265)Instruction limit reached!
% 52.71/8.04 % (1106265)------------------------------
% 52.71/8.04 % (1106265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.71/8.04 % (1106265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.71/8.04 % (1106265)CaDiCaL version: 2.1.3
% 52.71/8.04 % (1106265)Termination reason: Instruction limit
% 52.71/8.04 % (1106265)Termination phase: Property scanning
% 52.71/8.04 % (1106265)Time elapsed: 0.063 s
% 52.71/8.04 % (1106265)Peak memory usage: 11 MB
% 52.71/8.04 % (1106265)Instructions burned: 88 (million)
% 52.71/8.04 % (1106269)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2460171928:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2934 on theBenchmark for (2934ds/280Mi)
% 52.71/8.04 % (1106270)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 52.71/8.04 % (1106270)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3356901880:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2933 on theBenchmark for (2933ds/4386Mi)
% 52.71/8.04 % (1106223)Instruction limit reached!
% 52.71/8.04 % (1106223)------------------------------
% 52.71/8.04 % (1106223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.71/8.04 % (1106223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.71/8.04 % (1106223)CaDiCaL version: 2.1.3
% 52.71/8.04 % (1106223)Termination reason: Instruction limit
% 52.71/8.04 % (1106223)Termination phase: Saturation
% 52.71/8.04 % (1106223)Time elapsed: 1.462 s
% 52.71/8.04 % (1106223)Peak memory usage: 31 MB
% 52.71/8.04 % (1106223)Instructions burned: 2240 (million)
% 52.71/8.04 % (1106273)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 52.71/8.04 % (1106273)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 52.71/8.04 % (1106273)ott+21_3:13_sil=128000:cnfonf=off:sas=cadical:si=on:sp=arity:lma=off:lsd=10:uwa=one_side_interpreted:mep=off:chr=on:random_seed=301564362:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2933 on theBenchmark for (2933ds/483Mi)
% 52.71/8.04 % (1106263)Instruction limit reached!
% 52.71/8.04 % (1106263)------------------------------
% 52.71/8.04 % (1106263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.71/8.04 % (1106263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.71/8.04 % (1106263)CaDiCaL version: 2.1.3
% 52.71/8.04 % (1106263)Termination reason: Instruction limit
% 52.71/8.04 % (1106263)Termination phase: Saturation
% 52.71/8.04 % (1106263)Time elapsed: 0.249 s
% 52.71/8.04 % (1106263)Peak memory usage: 14 MB
% 52.71/8.04 % (1106263)Instructions burned: 282 (million)
% 52.71/8.04 % (1106269)Instruction limit reached!
% 52.71/8.04 % (1106269)------------------------------
% 52.71/8.04 % (1106269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.71/8.04 % (1106269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.71/8.04 % (1106269)CaDiCaL version: 2.1.3
% 52.71/8.04 % (1106269)Termination reason: Instruction limit
% 52.71/8.04 % (1106269)Termination phase: Saturation
% 52.71/8.04 % (1106269)Time elapsed: 0.171 s
% 52.71/8.04 % (1106269)Peak memory usage: 12 MB
% 52.71/8.04 % (1106269)Instructions burned: 281 (million)
% 52.71/8.04 % (1106275)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2004360215:i=73:rtra=on_2932 on theBenchmark for (2932ds/73Mi)
% 52.71/8.04 % (1106276)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=202072208:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2932 on theBenchmark for (2932ds/176Mi)
% 52.71/8.04 % (1106275)Instruction limit reached!
% 52.71/8.04 % (1106275)------------------------------
% 52.71/8.04 % (1106275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.47/8.62 % (1106275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.47/8.62 % (1106275)CaDiCaL version: 2.1.3
% 57.47/8.62 % (1106275)Termination reason: Instruction limit
% 57.47/8.62 % (1106275)Termination phase: Property scanning
% 57.47/8.62 % (1106275)Time elapsed: 0.054 s
% 57.47/8.62 % (1106275)Peak memory usage: 11 MB
% 57.47/8.62 % (1106275)Instructions burned: 74 (million)
% 57.47/8.62 % (1106279)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 57.47/8.62 % (1106279)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=40124620:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2931 on theBenchmark for (2931ds/39Mi)
% 57.47/8.62 % (1106279)Instruction limit reached!
% 57.47/8.62 % (1106279)------------------------------
% 57.47/8.62 % (1106279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.47/8.62 % (1106279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.47/8.62 % (1106279)CaDiCaL version: 2.1.3
% 57.47/8.62 % (1106279)Termination reason: Instruction limit
% 57.47/8.62 % (1106279)Termination phase: Function definition elimination
% 57.47/8.62 % (1106279)Time elapsed: 0.020 s
% 57.47/8.62 % (1106279)Peak memory usage: 10 MB
% 57.47/8.62 % (1106279)Instructions burned: 39 (million)
% 57.47/8.62 % (1106264)Instruction limit reached!
% 57.47/8.62 % (1106264)------------------------------
% 57.47/8.62 % (1106264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.47/8.62 % (1106264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.47/8.62 % (1106264)CaDiCaL version: 2.1.3
% 57.47/8.62 % (1106264)Termination reason: Instruction limit
% 57.47/8.62 % (1106264)Termination phase: Saturation
% 57.47/8.62 % (1106264)Time elapsed: 0.393 s
% 57.47/8.62 % (1106264)Peak memory usage: 14 MB
% 57.47/8.62 % (1106264)Instructions burned: 464 (million)
% 57.47/8.62 % (1106276)Instruction limit reached!
% 57.47/8.62 % (1106276)------------------------------
% 57.47/8.62 % (1106276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.47/8.62 % (1106276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.47/8.62 % (1106276)CaDiCaL version: 2.1.3
% 57.47/8.62 % (1106276)Termination reason: Instruction limit
% 57.47/8.62 % (1106276)Termination phase: Saturation
% 57.47/8.62 % (1106276)Time elapsed: 0.122 s
% 57.47/8.62 % (1106276)Peak memory usage: 12 MB
% 57.47/8.62 % (1106276)Instructions burned: 176 (million)
% 57.47/8.62 % (1106281)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=603402065:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2930 on theBenchmark for (2930ds/708Mi)
% 57.47/8.62 % (1106282)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 57.47/8.62 % (1106282)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=1187342846:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2930 on theBenchmark for (2930ds/252Mi)
% 57.47/8.62 % (1106283)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=2420247915:i=823:fsr=off:rtra=on_2930 on theBenchmark for (2930ds/823Mi)
% 57.47/8.62 % (1106273)Instruction limit reached!
% 57.47/8.62 % (1106273)------------------------------
% 57.47/8.62 % (1106273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.47/8.62 % (1106273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.47/8.62 % (1106273)CaDiCaL version: 2.1.3
% 57.47/8.62 % (1106273)Termination reason: Instruction limit
% 57.47/8.62 % (1106273)Termination phase: Saturation
% 57.47/8.62 % (1106273)Time elapsed: 0.416 s
% 57.47/8.62 % (1106273)Peak memory usage: 16 MB
% 57.47/8.62 % (1106273)Instructions burned: 483 (million)
% 57.47/8.62 % (1106287)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 57.47/8.62 % (1106287)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=1301038056:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2928 on theBenchmark for (2928ds/16202Mi)
% 57.47/8.62 % (1106282)Instruction limit reached!
% 57.47/8.62 % (1106282)------------------------------
% 57.47/8.62 % (1106282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.47/8.62 % (1106282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.69/9.38 % (1106282)CaDiCaL version: 2.1.3
% 62.69/9.38 % (1106282)Termination reason: Instruction limit
% 62.69/9.38 % (1106282)Termination phase: Saturation
% 62.69/9.38 % (1106282)Time elapsed: 0.179 s
% 62.69/9.38 % (1106282)Peak memory usage: 12 MB
% 62.69/9.38 % (1106282)Instructions burned: 252 (million)
% 62.69/9.38 % (1106289)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=1352289551:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2928 on theBenchmark for (2928ds/300Mi)
% 62.69/9.38 % (1106289)Instruction limit reached!
% 62.69/9.38 % (1106289)------------------------------
% 62.69/9.38 % (1106289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.69/9.38 % (1106289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.69/9.38 % (1106289)CaDiCaL version: 2.1.3
% 62.69/9.38 % (1106289)Termination reason: Instruction limit
% 62.69/9.38 % (1106289)Termination phase: Saturation
% 62.69/9.38 % (1106289)Time elapsed: 0.208 s
% 62.69/9.38 % (1106289)Peak memory usage: 12 MB
% 62.69/9.38 % (1106289)Instructions burned: 300 (million)
% 62.69/9.38 % (1106291)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 62.69/9.38 % (1106291)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 62.69/9.38 % (1106291)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=2467279077:i=177:add=on:bd=preordered:rtra=on:rawr=on_2926 on theBenchmark for (2926ds/177Mi)
% 62.69/9.38 % (1106281)Instruction limit reached!
% 62.69/9.38 % (1106281)------------------------------
% 62.69/9.38 % (1106281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.69/9.38 % (1106281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.69/9.38 % (1106281)CaDiCaL version: 2.1.3
% 62.69/9.38 % (1106281)Termination reason: Instruction limit
% 62.69/9.38 % (1106281)Termination phase: Saturation
% 62.69/9.38 % (1106281)Time elapsed: 0.551 s
% 62.69/9.38 % (1106281)Peak memory usage: 18 MB
% 62.69/9.38 % (1106281)Instructions burned: 709 (million)
% 62.69/9.38 % (1106291)Instruction limit reached!
% 62.69/9.38 % (1106291)------------------------------
% 62.69/9.38 % (1106291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.69/9.38 % (1106291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.69/9.38 % (1106291)CaDiCaL version: 2.1.3
% 62.69/9.38 % (1106291)Termination reason: Instruction limit
% 62.69/9.38 % (1106291)Termination phase: Saturation
% 62.69/9.38 % (1106291)Time elapsed: 0.110 s
% 62.69/9.38 % (1106291)Peak memory usage: 13 MB
% 62.69/9.38 % (1106291)Instructions burned: 177 (million)
% 62.69/9.38 % (1106293)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=3710640751:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2925 on theBenchmark for (2925ds/715Mi)
% 62.69/9.38 % (1106294)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 62.69/9.38 % (1106294)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 62.69/9.38 % (1106294)dis+11_1_sil=128000:plsqc=3:cnfonf=lazy_gen:si=on:sp=const_max:lma=off:plsqr=19,3:lcm=predicate:uwa=off:fd=preordered:nwc=1:random_seed=1270476043:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2924 on theBenchmark for (2924ds/230Mi)
% 62.69/9.38 % (1106294)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 62.69/9.38 % (1106283)Instruction limit reached!
% 62.69/9.38 % (1106283)------------------------------
% 62.69/9.38 % (1106283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.69/9.38 % (1106283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.69/9.38 % (1106283)CaDiCaL version: 2.1.3
% 62.69/9.38 % (1106283)Termination reason: Instruction limit
% 62.69/9.38 % (1106283)Termination phase: Saturation
% 62.69/9.38 % (1106283)Time elapsed: 0.679 s
% 62.69/9.38 % (1106283)Peak memory usage: 16 MB
% 62.69/9.38 % (1106283)Instructions burned: 823 (million)
% 62.69/9.38 % (1106297)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1220022139:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2923 on theBenchmark for (2923ds/606Mi)
% 65.72/9.86 % (1106294)Instruction limit reached!
% 65.72/9.86 % (1106294)------------------------------
% 65.72/9.86 % (1106294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.72/9.86 % (1106294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.72/9.86 % (1106294)CaDiCaL version: 2.1.3
% 65.72/9.86 % (1106294)Termination reason: Instruction limit
% 65.72/9.86 % (1106294)Termination phase: Saturation
% 65.72/9.86 % (1106294)Time elapsed: 0.159 s
% 65.72/9.86 % (1106294)Peak memory usage: 12 MB
% 65.72/9.86 % (1106294)Instructions burned: 231 (million)
% 65.72/9.86 % (1106299)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 65.72/9.86 % (1106299)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=3891368636:lrd=on:i=841:nm=0:rtra=on_2923 on theBenchmark for (2923ds/841Mi)
% 65.72/9.86 % (1106293)Instruction limit reached!
% 65.72/9.86 % (1106293)------------------------------
% 65.72/9.86 % (1106293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.72/9.86 % (1106293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.72/9.86 % (1106293)CaDiCaL version: 2.1.3
% 65.72/9.86 % (1106293)Termination reason: Instruction limit
% 65.72/9.86 % (1106293)Termination phase: Saturation
% 65.72/9.86 % (1106293)Time elapsed: 0.523 s
% 65.72/9.86 % (1106293)Peak memory usage: 17 MB
% 65.72/9.86 % (1106293)Instructions burned: 715 (million)
% 65.72/9.86 % (1106297)Instruction limit reached!
% 65.72/9.86 % (1106297)------------------------------
% 65.72/9.86 % (1106297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.72/9.86 % (1106297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.72/9.86 % (1106297)CaDiCaL version: 2.1.3
% 65.72/9.86 % (1106297)Termination reason: Instruction limit
% 65.72/9.86 % (1106297)Termination phase: Saturation
% 65.72/9.86 % (1106297)Time elapsed: 0.388 s
% 65.72/9.86 % (1106297)Peak memory usage: 12 MB
% 65.72/9.86 % (1106297)Instructions burned: 606 (million)
% 65.72/9.86 % (1106301)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4214961136:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2919 on theBenchmark for (2919ds/445Mi)
% 65.72/9.86 % (1106302)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=4006975943:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2919 on theBenchmark for (2919ds/71Mi)
% 65.72/9.86 % (1106302)Instruction limit reached!
% 65.72/9.86 % (1106302)------------------------------
% 65.72/9.86 % (1106302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.72/9.86 % (1106302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.72/9.86 % (1106302)CaDiCaL version: 2.1.3
% 65.72/9.86 % (1106302)Termination reason: Instruction limit
% 65.72/9.86 % (1106302)Termination phase: Property scanning
% 65.72/9.86 % (1106302)Time elapsed: 0.052 s
% 65.72/9.86 % (1106302)Peak memory usage: 11 MB
% 65.72/9.86 % (1106302)Instructions burned: 72 (million)
% 65.72/9.86 % (1106305)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
% 65.72/9.86 % (1106305)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 65.72/9.86 % (1106305)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2822787316:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2918 on theBenchmark for (2918ds/100Mi)
% 65.72/9.86 % (1106305)Instruction limit reached!
% 65.72/9.86 % (1106305)------------------------------
% 65.72/9.86 % (1106305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.72/9.86 % (1106305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.72/9.86 % (1106305)CaDiCaL version: 2.1.3
% 65.72/9.86 % (1106305)Termination reason: Instruction limit
% 65.72/9.86 % (1106305)Termination phase: Property scanning
% 65.72/9.86 % (1106305)Time elapsed: 0.076 s
% 65.72/9.86 % (1106305)Peak memory usage: 11 MB
% 65.72/9.86 % (1106305)Instructions burned: 100 (million)
% 65.72/9.86 % (1106307)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 65.72/9.86 % (1106307)lrs+2_128_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=const_max:sos=on:plsqr=32,1:spb=goal:uwa=interpreted_only:slsqc=3:random_seed=2053300313:i=1352:add=on:aac=none:rtra=on_2917 on theBenchmark for (2917ds/1352Mi)
% 66.85/10.08 % (1106301)Instruction limit reached!
% 66.85/10.08 % (1106301)------------------------------
% 66.85/10.08 % (1106301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.85/10.08 % (1106301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.85/10.08 % (1106301)CaDiCaL version: 2.1.3
% 66.85/10.08 % (1106301)Termination reason: Instruction limit
% 66.85/10.08 % (1106301)Termination phase: Saturation
% 66.85/10.08 % (1106301)Time elapsed: 0.217 s
% 66.85/10.08 % (1106301)Peak memory usage: 12 MB
% 66.85/10.08 % (1106301)Instructions burned: 446 (million)
% 66.85/10.08 % (1106309)lrs-1002_4:1_sfv=off:to=lpo:plsq=on:prc=on:e2e=on:si=on:hsqlw=5:ser=on:spb=goal:acc=on:uwa=off:foolp=on:s2agt=16:slsqc=1:slsq=on:random_seed=2412501199:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2917 on theBenchmark for (2917ds/646Mi)
% 66.85/10.08 % (1106270)Instruction limit reached!
% 66.85/10.08 % (1106270)------------------------------
% 66.85/10.08 % (1106270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.85/10.08 % (1106270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.85/10.08 % (1106270)CaDiCaL version: 2.1.3
% 66.85/10.08 % (1106270)Termination reason: Instruction limit
% 66.85/10.08 % (1106270)Termination phase: Saturation
% 66.85/10.08 % (1106270)Time elapsed: 1.704 s
% 66.85/10.08 % (1106270)Peak memory usage: 47 MB
% 66.85/10.08 % (1106270)Instructions burned: 4388 (million)
% 66.85/10.08 % (1106299)Instruction limit reached!
% 66.85/10.08 % (1106299)------------------------------
% 66.85/10.08 % (1106299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.85/10.08 % (1106299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.85/10.08 % (1106299)CaDiCaL version: 2.1.3
% 66.85/10.08 % (1106299)Termination reason: Instruction limit
% 66.85/10.08 % (1106299)Termination phase: Saturation
% 66.85/10.08 % (1106299)Time elapsed: 0.594 s
% 66.85/10.08 % (1106299)Peak memory usage: 16 MB
% 66.85/10.08 % (1106299)Instructions burned: 841 (million)
% 66.85/10.08 % (1106311)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=982835714:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2916 on theBenchmark for (2916ds/1924Mi)
% 66.85/10.08 % (1106312)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2468668962:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2916 on theBenchmark for (2916ds/984Mi)
% 66.85/10.08 % (1106309)Instruction limit reached!
% 66.85/10.08 % (1106309)------------------------------
% 66.85/10.08 % (1106309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.85/10.08 % (1106309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.85/10.08 % (1106309)CaDiCaL version: 2.1.3
% 66.85/10.08 % (1106309)Termination reason: Instruction limit
% 66.85/10.08 % (1106309)Termination phase: Saturation
% 66.85/10.08 % (1106309)Time elapsed: 0.244 s
% 66.85/10.08 % (1106309)Peak memory usage: 12 MB
% 66.85/10.08 % (1106309)Instructions burned: 649 (million)
% 66.85/10.08 % (1106317)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=352010362:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2914 on theBenchmark for (2914ds/592Mi)
% 66.85/10.08 % (1106317)Instruction limit reached!
% 66.85/10.08 % (1106317)------------------------------
% 66.85/10.08 % (1106317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.85/10.08 % (1106317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.85/10.08 % (1106317)CaDiCaL version: 2.1.3
% 66.85/10.08 % (1106317)Termination reason: Instruction limit
% 66.85/10.08 % (1106317)Termination phase: Saturation
% 66.85/10.08 % (1106317)Time elapsed: 0.358 s
% 66.85/10.08 % (1106317)Peak memory usage: 15 MB
% 66.85/10.08 % (1106317)Instructions burned: 594 (million)
% 66.85/10.08 % (1106321)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=1785219777:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2910 on theBenchmark for (2910ds/872Mi)
% 66.85/10.08 % (1106312)Instruction limit reached!
% 66.85/10.08 % (1106312)------------------------------
% 66.85/10.08 % (1106312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.85/10.08 % (1106312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.85/10.08 % (1106312)CaDiCaL version: 2.1.3
% 66.85/10.08 % (1106312)Termination reason: Instruction limit
% 66.85/10.08 % (1106312)Termination phase: Saturation
% 71.81/10.87 % (1106312)Time elapsed: 0.672 s
% 71.81/10.87 % (1106312)Peak memory usage: 13 MB
% 71.81/10.87 % (1106312)Instructions burned: 984 (million)
% 71.81/10.87 % (1106323)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 71.81/10.87 % (1106323)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=3018085695:i=999:add=on:rtra=on_2909 on theBenchmark for (2909ds/999Mi)
% 71.81/10.87 % (1106307)Instruction limit reached!
% 71.81/10.87 % (1106307)------------------------------
% 71.81/10.87 % (1106307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.81/10.87 % (1106307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.81/10.87 % (1106307)CaDiCaL version: 2.1.3
% 71.81/10.87 % (1106307)Termination reason: Instruction limit
% 71.81/10.87 % (1106307)Termination phase: Saturation
% 71.81/10.87 % (1106307)Time elapsed: 0.902 s
% 71.81/10.87 % (1106307)Peak memory usage: 13 MB
% 71.81/10.87 % (1106307)Instructions burned: 1353 (million)
% 71.81/10.87 % (1106325)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 71.81/10.87 % (1106325)dis+1010_1_to=lpo:irw=on:plsq=on:drc=ordering:plsqc=4:cnfonf=lazy_simp:si=on:sp=reverse_frequency:sos=on:plsqr=32,1:cbe=off:uwa=off:rp=on:lwlo=on:random_seed=666671409:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2908 on theBenchmark for (2908ds/244Mi)
% 71.81/10.87 % (1106321)Instruction limit reached!
% 71.81/10.87 % (1106321)------------------------------
% 71.81/10.87 % (1106321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.81/10.87 % (1106321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.81/10.87 % (1106321)CaDiCaL version: 2.1.3
% 71.81/10.87 % (1106321)Termination reason: Instruction limit
% 71.81/10.87 % (1106321)Termination phase: Saturation
% 71.81/10.87 % (1106321)Time elapsed: 0.394 s
% 71.81/10.87 % (1106321)Peak memory usage: 12 MB
% 71.81/10.87 % (1106321)Instructions burned: 874 (million)
% 71.81/10.87 % (1106327)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=345195462:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2906 on theBenchmark for (2906ds/113Mi)
% 71.81/10.87 % (1106325)Instruction limit reached!
% 71.81/10.87 % (1106325)------------------------------
% 71.81/10.87 % (1106325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.81/10.87 % (1106325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.81/10.87 % (1106325)CaDiCaL version: 2.1.3
% 71.81/10.87 % (1106325)Termination reason: Instruction limit
% 71.81/10.87 % (1106325)Termination phase: Saturation
% 71.81/10.87 % (1106325)Time elapsed: 0.185 s
% 71.81/10.87 % (1106325)Peak memory usage: 12 MB
% 71.81/10.87 % (1106325)Instructions burned: 245 (million)
% 71.81/10.87 % (1106327)Instruction limit reached!
% 71.81/10.87 % (1106327)------------------------------
% 71.81/10.87 % (1106327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.81/10.87 % (1106327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.81/10.87 % (1106327)CaDiCaL version: 2.1.3
% 71.81/10.87 % (1106327)Termination reason: Instruction limit
% 71.81/10.87 % (1106327)Termination phase: Saturation
% 71.81/10.87 % (1106327)Time elapsed: 0.050 s
% 71.81/10.87 % (1106327)Peak memory usage: 13 MB
% 71.81/10.87 % (1106327)Instructions burned: 114 (million)
% 71.81/10.87 % (1106329)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1058543223:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2905 on theBenchmark for (2905ds/7795Mi)
% 71.81/10.87 % (1106330)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4015482138:st=2:i=5026:sd=1:rtra=on:ss=axioms_2905 on theBenchmark for (2905ds/5026Mi)
% 71.81/10.87 % (1106330)Refutation not found, incomplete strategy
% 71.81/10.87 % (1106330)------------------------------
% 71.81/10.87 % (1106330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.81/10.87 % (1106330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.81/10.87 % (1106330)CaDiCaL version: 2.1.3
% 71.81/10.87 % (1106330)Termination reason: Refutation not found, incomplete strategy
% 71.81/10.87 % (1106330)Time elapsed: 0.047 s
% 71.81/10.87 % (1106330)Peak memory usage: 13 MB
% 71.81/10.87 % (1106330)Instructions burned: 56 (million)
% 71.81/10.87 % (1106330)------------------------------
% 71.81/10.87 % (1106330)------------------------------
% 76.31/11.29 % (1106329)Refutation not found, incomplete strategy
% 76.31/11.29 % (1106329)------------------------------
% 76.31/11.29 % (1106329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.31/11.29 % (1106329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.31/11.29 % (1106329)CaDiCaL version: 2.1.3
% 76.31/11.29 % (1106329)Termination reason: Refutation not found, incomplete strategy
% 76.31/11.29 % (1106329)Time elapsed: 0.074 s
% 76.31/11.29 % (1106329)Peak memory usage: 13 MB
% 76.31/11.29 % (1106329)Instructions burned: 80 (million)
% 76.31/11.29 % (1106329)------------------------------
% 76.31/11.29 % (1106329)------------------------------
% 76.31/11.29 % (1106334)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1953425521:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2904 on theBenchmark for (2904ds/1144Mi)
% 76.31/11.29 % (1106333)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 76.31/11.29 % (1106333)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=1688201984:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2904 on theBenchmark for (2904ds/763Mi)
% 76.31/11.29 % (1106333)Refutation not found, incomplete strategy
% 76.31/11.29 % (1106333)------------------------------
% 76.31/11.29 % (1106333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.31/11.29 % (1106333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.31/11.29 % (1106333)CaDiCaL version: 2.1.3
% 76.31/11.29 % (1106333)Termination reason: Refutation not found, incomplete strategy
% 76.31/11.29 % (1106333)Time elapsed: 0.044 s
% 76.31/11.29 % (1106333)Peak memory usage: 13 MB
% 76.31/11.29 % (1106333)Instructions burned: 57 (million)
% 76.31/11.29 % (1106333)------------------------------
% 76.31/11.29 % (1106333)------------------------------
% 76.31/11.29 % (1106337)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 76.31/11.29 % (1106337)dis+1002_50_to=kbo:sil=128000:tgt=ground:plsq=on:plsqc=1:si=on:sp=occurrence:plsqr=64,1:nwc=3:flr=on:chr=on:random_seed=3142326820:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2904 on theBenchmark for (2904ds/52Mi)
% 76.31/11.29 % (1106337)Instruction limit reached!
% 76.31/11.29 % (1106337)------------------------------
% 76.31/11.29 % (1106337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.31/11.29 % (1106337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.31/11.29 % (1106337)CaDiCaL version: 2.1.3
% 76.31/11.29 % (1106337)Termination reason: Instruction limit
% 76.31/11.29 % (1106337)Termination phase: Function definition elimination
% 76.31/11.29 % (1106337)Time elapsed: 0.023 s
% 76.31/11.29 % (1106337)Peak memory usage: 11 MB
% 76.31/11.29 % (1106337)Instructions burned: 52 (million)
% 76.31/11.29 % (1106235)Instruction limit reached!
% 76.31/11.29 % (1106235)------------------------------
% 76.31/11.29 % (1106235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.31/11.29 % (1106235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.31/11.29 % (1106235)CaDiCaL version: 2.1.3
% 76.31/11.29 % (1106235)Termination reason: Instruction limit
% 76.31/11.29 % (1106235)Termination phase: Saturation
% 76.31/11.29 % (1106235)Time elapsed: 4.120 s
% 76.31/11.29 % (1106235)Peak memory usage: 13 MB
% 76.31/11.29 % (1106235)Instructions burned: 6360 (million)
% 76.31/11.29 % (1106339)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=2837384976:i=1724:fsr=off:rtra=on:fe=abstraction_2903 on theBenchmark for (2903ds/1724Mi)
% 76.31/11.29 % (1106340)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=1603996599:i=439:add=on:slsql=off:rtra=on:ntd=on_2903 on theBenchmark for (2903ds/439Mi)
% 76.31/11.29 % (1106311)Instruction limit reached!
% 76.31/11.29 % (1106311)------------------------------
% 76.31/11.29 % (1106311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.31/11.29 % (1106311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.31/11.29 % (1106311)CaDiCaL version: 2.1.3
% 76.31/11.29 % (1106311)Termination reason: Instruction limit
% 76.31/11.29 % (1106311)Termination phase: Saturation
% 76.31/11.29 % (1106311)Time elapsed: 1.367 s
% 76.31/11.29 % (1106311)Peak memory usage: 35 MB
% 76.31/11.29 % (1106311)Instructions burned: 1925 (million)
% 82.71/12.15 % (1106323)Instruction limit reached!
% 82.71/12.15 % (1106323)------------------------------
% 82.71/12.15 % (1106323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.71/12.15 % (1106323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.71/12.15 % (1106323)CaDiCaL version: 2.1.3
% 82.71/12.15 % (1106323)Termination reason: Instruction limit
% 82.71/12.15 % (1106323)Termination phase: Saturation
% 82.71/12.15 % (1106323)Time elapsed: 0.679 s
% 82.71/12.15 % (1106323)Peak memory usage: 12 MB
% 82.71/12.15 % (1106323)Instructions burned: 999 (million)
% 82.71/12.15 % (1106343)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1568012647:i=6395:sd=1:rtra=on:ss=axioms_2902 on theBenchmark for (2902ds/6395Mi)
% 82.71/12.15 % (1106344)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 82.71/12.15 % (1106344)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=1011116732:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2902 on theBenchmark for (2902ds/6762Mi)
% 82.71/12.15 % (1106343)Refutation not found, incomplete strategy
% 82.71/12.15 % (1106343)------------------------------
% 82.71/12.15 % (1106343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.71/12.15 % (1106343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.71/12.15 % (1106343)CaDiCaL version: 2.1.3
% 82.71/12.15 % (1106343)Termination reason: Refutation not found, incomplete strategy
% 82.71/12.15 % (1106343)Time elapsed: 0.054 s
% 82.71/12.15 % (1106343)Peak memory usage: 12 MB
% 82.71/12.15 % (1106343)Instructions burned: 53 (million)
% 82.71/12.15 % (1106343)------------------------------
% 82.71/12.15 % (1106343)------------------------------
% 82.71/12.15 % (1106347)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 82.71/12.15 % (1106347)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=3347742952:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2901 on theBenchmark for (2901ds/376Mi)
% 82.71/12.15 % (1106065)Instruction limit reached!
% 82.71/12.15 % (1106065)------------------------------
% 82.71/12.15 % (1106065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.71/12.15 % (1106065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.71/12.15 % (1106065)CaDiCaL version: 2.1.3
% 82.71/12.15 % (1106065)Termination reason: Instruction limit
% 82.71/12.15 % (1106065)Termination phase: Saturation
% 82.71/12.15 % (1106065)Time elapsed: 8.350 s
% 82.71/12.15 % (1106065)Peak memory usage: 37 MB
% 82.71/12.15 % (1106065)Instructions burned: 9840 (million)
% 82.71/12.15 % (1106349)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=2362039944:i=965:bd=all:ins=4:rtra=on_2901 on theBenchmark for (2901ds/965Mi)
% 82.71/12.15 % (1106340)Instruction limit reached!
% 82.71/12.15 % (1106340)------------------------------
% 82.71/12.15 % (1106340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.71/12.15 % (1106340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.71/12.15 % (1106340)CaDiCaL version: 2.1.3
% 82.71/12.15 % (1106340)Termination reason: Instruction limit
% 82.71/12.15 % (1106340)Termination phase: Saturation
% 82.71/12.15 % (1106340)Time elapsed: 0.306 s
% 82.71/12.15 % (1106340)Peak memory usage: 12 MB
% 82.71/12.15 % (1106340)Instructions burned: 439 (million)
% 82.71/12.15 % (1106351)lrs+10_1_sil=128000:si=on:urr=on:random_seed=4145227942:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2900 on theBenchmark for (2900ds/5013Mi)
% 82.71/12.15 % (1106347)Instruction limit reached!
% 82.71/12.15 % (1106347)------------------------------
% 82.71/12.15 % (1106347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.71/12.15 % (1106347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.71/12.15 % (1106347)CaDiCaL version: 2.1.3
% 82.71/12.15 % (1106347)Termination reason: Instruction limit
% 82.71/12.15 % (1106347)Termination phase: Saturation
% 82.71/12.15 % (1106347)Time elapsed: 0.230 s
% 82.71/12.15 % (1106347)Peak memory usage: 12 MB
% 82.71/12.15 % (1106347)Instructions burned: 377 (million)
% 82.71/12.15 % (1106353)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=4256652501:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2899 on theBenchmark for (2899ds/1583Mi)
% 82.71/12.15 % (1106334)Instruction limit reached!
% 82.71/12.15 % (1106334)------------------------------
% 92.89/13.70 % (1106334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 92.89/13.70 % (1106334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.89/13.70 % (1106334)CaDiCaL version: 2.1.3
% 92.89/13.70 % (1106334)Termination reason: Instruction limit
% 92.89/13.70 % (1106334)Termination phase: Saturation
% 92.89/13.70 % (1106334)Time elapsed: 0.986 s
% 92.89/13.70 % (1106334)Peak memory usage: 18 MB
% 92.89/13.70 % (1106334)Instructions burned: 1145 (million)
% 92.89/13.70 % (1106357)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 92.89/13.70 % (1106357)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 92.89/13.70 % (1106357)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) 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
% 92.89/13.70 % (1106357)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 92.89/13.70 % (1106357)ott+1002_1_slsqr=1,32:sil=128000:fde=none:e2e=on:hsqc=2:si=on:sp=const_min:sos=on:uwa=interpreted_only:s2agt=16:chr=on:random_seed=3940640584:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_2894 on theBenchmark for (2894ds/1774Mi)
% 92.89/13.70 % (1106349)Instruction limit reached!
% 92.89/13.70 % (1106349)------------------------------
% 92.89/13.70 % (1106349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 92.89/13.70 % (1106349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.89/13.70 % (1106349)CaDiCaL version: 2.1.3
% 92.89/13.70 % (1106349)Termination reason: Instruction limit
% 92.89/13.70 % (1106349)Termination phase: Saturation
% 92.89/13.70 % (1106349)Time elapsed: 0.658 s
% 92.89/13.70 % (1106349)Peak memory usage: 13 MB
% 92.89/13.70 % (1106349)Instructions burned: 966 (million)
% 92.89/13.70 % (1106359)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1611025915:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2894 on theBenchmark for (2894ds/515Mi)
% 92.89/13.70 % (1106357)Refutation not found, incomplete strategy
% 92.89/13.70 % (1106357)------------------------------
% 92.89/13.70 % (1106357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 92.89/13.70 % (1106357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.89/13.70 % (1106357)CaDiCaL version: 2.1.3
% 92.89/13.70 % (1106357)Termination reason: Refutation not found, incomplete strategy
% 92.89/13.70 % (1106357)Time elapsed: 0.047 s
% 92.89/13.70 % (1106357)Peak memory usage: 13 MB
% 92.89/13.70 % (1106357)Instructions burned: 51 (million)
% 92.89/13.70 % (1106357)------------------------------
% 92.89/13.70 % (1106357)------------------------------
% 92.89/13.70 % (1106361)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) 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
% 92.89/13.70 % (1106361)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=4177511285:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2894 on theBenchmark for (2894ds/1297Mi)
% 92.89/13.70 % (1106339)Instruction limit reached!
% 92.89/13.70 % (1106339)------------------------------
% 92.89/13.70 % (1106339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 92.89/13.70 % (1106339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.89/13.70 % (1106339)CaDiCaL version: 2.1.3
% 92.89/13.70 % (1106339)Termination reason: Instruction limit
% 92.89/13.70 % (1106339)Termination phase: Saturation
% 92.89/13.70 % (1106339)Time elapsed: 1.143 s
% 92.89/13.70 % (1106339)Peak memory usage: 13 MB
% 92.89/13.70 % (1106339)Instructions burned: 1725 (million)
% 92.89/13.70 % (1106365)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=1369597958:s2a=on:i=611:rtra=on:gsp=on_2891 on theBenchmark for (2891ds/611Mi)
% 92.89/13.70 % (1106365)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 92.89/13.70 % (1106359)Instruction limit reached!
% 92.89/13.70 % (1106359)------------------------------
% 92.89/13.70 % (1106359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.94/15.05 % (1106359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.94/15.05 % (1106359)CaDiCaL version: 2.1.3
% 102.94/15.05 % (1106359)Termination reason: Instruction limit
% 102.94/15.05 % (1106359)Termination phase: Saturation
% 102.94/15.05 % (1106359)Time elapsed: 0.354 s
% 102.94/15.05 % (1106359)Peak memory usage: 13 MB
% 102.94/15.05 % (1106359)Instructions burned: 516 (million)
% 102.94/15.05 % (1106367)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 102.94/15.05 % (1106367)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=689271643:i=72:bd=all:rtra=on_2890 on theBenchmark for (2890ds/72Mi)
% 102.94/15.05 % (1106367)Instruction limit reached!
% 102.94/15.05 % (1106367)------------------------------
% 102.94/15.05 % (1106367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.94/15.05 % (1106367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.94/15.05 % (1106367)CaDiCaL version: 2.1.3
% 102.94/15.05 % (1106367)Termination reason: Instruction limit
% 102.94/15.05 % (1106367)Termination phase: Twee Goal Transformation
% 102.94/15.05 % (1106367)Time elapsed: 0.052 s
% 102.94/15.05 % (1106367)Peak memory usage: 11 MB
% 102.94/15.05 % (1106367)Instructions burned: 72 (million)
% 102.94/15.05 % (1106369)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=2022940159:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2889 on theBenchmark for (2889ds/6580Mi)
% 102.94/15.05 % (1106365)Instruction limit reached!
% 102.94/15.05 % (1106365)------------------------------
% 102.94/15.05 % (1106365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.94/15.05 % (1106365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.94/15.05 % (1106365)CaDiCaL version: 2.1.3
% 102.94/15.05 % (1106365)Termination reason: Instruction limit
% 102.94/15.05 % (1106365)Termination phase: Saturation
% 102.94/15.05 % (1106365)Time elapsed: 0.488 s
% 102.94/15.05 % (1106365)Peak memory usage: 15 MB
% 102.94/15.05 % (1106365)Instructions burned: 612 (million)
% 102.94/15.05 % (1106353)Instruction limit reached!
% 102.94/15.05 % (1106353)------------------------------
% 102.94/15.05 % (1106353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.94/15.05 % (1106353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.94/15.05 % (1106353)CaDiCaL version: 2.1.3
% 102.94/15.05 % (1106353)Termination reason: Instruction limit
% 102.94/15.05 % (1106353)Termination phase: Saturation
% 102.94/15.05 % (1106353)Time elapsed: 1.232 s
% 102.94/15.05 % (1106353)Peak memory usage: 27 MB
% 102.94/15.05 % (1106353)Instructions burned: 1583 (million)
% 102.94/15.05 % (1106372)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=432376461:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2886 on theBenchmark for (2886ds/1003Mi)
% 102.94/15.05 % (1106371)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=3102625631:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2886 on theBenchmark for (2886ds/6209Mi)
% 102.94/15.05 % (1106361)Instruction limit reached!
% 102.94/15.05 % (1106361)------------------------------
% 102.94/15.05 % (1106361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.94/15.05 % (1106361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.94/15.05 % (1106361)CaDiCaL version: 2.1.3
% 102.94/15.05 % (1106361)Termination reason: Instruction limit
% 102.94/15.05 % (1106361)Termination phase: Saturation
% 102.94/15.05 % (1106361)Time elapsed: 0.852 s
% 102.94/15.05 % (1106361)Peak memory usage: 13 MB
% 102.94/15.05 % (1106361)Instructions burned: 1298 (million)
% 102.94/15.05 % (1106375)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 102.94/15.05 % (1106375)ott+1002_16_sil=128000:si=on:random_seed=1714423876:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2885 on theBenchmark for (2885ds/409Mi)
% 102.94/15.05 % (1106375)Instruction limit reached!
% 102.94/15.05 % (1106375)------------------------------
% 102.94/15.05 % (1106375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.94/15.05 % (1106375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.94/15.05 % (1106375)CaDiCaL version: 2.1.3
% 102.94/15.05 % (1106375)Termination reason: Instruction limit
% 102.94/15.05 % (1106375)Termination phase: Saturation
% 102.94/15.05 % (1106375)Time elapsed: 0.296 s
% 102.94/15.05 % (1106375)Peak memory usage: 12 MB
% 106.99/15.66 % (1106375)Instructions burned: 410 (million)
% 106.99/15.66 % (1106377)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=1851303628:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2881 on theBenchmark for (2881ds/403Mi)
% 106.99/15.66 % (1106377)Refutation not found, incomplete strategy
% 106.99/15.66 % (1106377)------------------------------
% 106.99/15.66 % (1106377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 106.99/15.66 % (1106377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.99/15.66 % (1106377)CaDiCaL version: 2.1.3
% 106.99/15.66 % (1106377)Termination reason: Refutation not found, incomplete strategy
% 106.99/15.66 % (1106377)Time elapsed: 0.041 s
% 106.99/15.66 % (1106377)Peak memory usage: 13 MB
% 106.99/15.66 % (1106377)Instructions burned: 50 (million)
% 106.99/15.66 % (1106377)------------------------------
% 106.99/15.66 % (1106377)------------------------------
% 106.99/15.66 % (1106379)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=998824098:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2881 on theBenchmark for (2881ds/6843Mi)
% 106.99/15.66 % (1106372)Instruction limit reached!
% 106.99/15.66 % (1106372)------------------------------
% 106.99/15.66 % (1106372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 106.99/15.66 % (1106372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.99/15.66 % (1106372)CaDiCaL version: 2.1.3
% 106.99/15.66 % (1106372)Termination reason: Instruction limit
% 106.99/15.66 % (1106372)Termination phase: Saturation
% 106.99/15.66 % (1106372)Time elapsed: 0.573 s
% 106.99/15.66 % (1106372)Peak memory usage: 12 MB
% 106.99/15.66 % (1106372)Instructions burned: 1003 (million)
% 106.99/15.66 % (1106381)lrs+10_2:1_si=on:random_seed=3239868239:s2a=on:i=506:rtra=on:fe=abstraction_2880 on theBenchmark for (2880ds/506Mi)
% 106.99/15.66 % (1106381)Instruction limit reached!
% 106.99/15.66 % (1106381)------------------------------
% 106.99/15.66 % (1106381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 106.99/15.66 % (1106381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.99/15.66 % (1106381)CaDiCaL version: 2.1.3
% 106.99/15.66 % (1106381)Termination reason: Instruction limit
% 106.99/15.66 % (1106381)Termination phase: Saturation
% 106.99/15.66 % (1106381)Time elapsed: 0.349 s
% 106.99/15.66 % (1106381)Peak memory usage: 12 MB
% 106.99/15.66 % (1106381)Instructions burned: 506 (million)
% 106.99/15.66 % (1106383)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=2054864501:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2876 on theBenchmark for (2876ds/888Mi)
% 106.99/15.66 % (1106383)Instruction limit reached!
% 106.99/15.66 % (1106383)------------------------------
% 106.99/15.66 % (1106383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 106.99/15.66 % (1106383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.99/15.66 % (1106383)CaDiCaL version: 2.1.3
% 106.99/15.66 % (1106383)Termination reason: Instruction limit
% 106.99/15.66 % (1106383)Termination phase: Saturation
% 106.99/15.66 % (1106383)Time elapsed: 0.701 s
% 106.99/15.66 % (1106383)Peak memory usage: 14 MB
% 106.99/15.66 % (1106383)Instructions burned: 889 (million)
% 106.99/15.66 % (1106385)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 106.99/15.66 % (1106385)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=2415056488:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2869 on theBenchmark for (2869ds/416Mi)
% 106.99/15.66 % (1106385)Instruction limit reached!
% 106.99/15.66 % (1106385)------------------------------
% 106.99/15.66 % (1106385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 106.99/15.66 % (1106385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.99/15.66 % (1106385)CaDiCaL version: 2.1.3
% 106.99/15.66 % (1106385)Termination reason: Instruction limit
% 106.99/15.66 % (1106385)Termination phase: Saturation
% 106.99/15.66 % (1106385)Time elapsed: 0.287 s
% 106.99/15.66 % (1106385)Peak memory usage: 13 MB
% 106.99/15.66 % (1106385)Instructions burned: 416 (million)
% 106.99/15.66 % (1106351)Instruction limit reached!
% 106.99/15.66 % (1106351)------------------------------
% 106.99/15.66 % (1106351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 114.04/16.61 % (1106351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.04/16.61 % (1106351)CaDiCaL version: 2.1.3
% 114.04/16.61 % (1106351)Termination reason: Instruction limit
% 114.04/16.61 % (1106351)Termination phase: Saturation
% 114.04/16.61 % (1106351)Time elapsed: 3.345 s
% 114.04/16.61 % (1106351)Peak memory usage: 13 MB
% 114.04/16.61 % (1106351)Instructions burned: 5016 (million)
% 114.04/16.61 % (1106389)dis+10_3:2_sfv=off:to=kbo:plsq=on:fde=unused:e2e=on:si=on:sp=reverse_frequency:acc=on:uwa=off:fd=preordered:slsqc=1:pe=on:slsq=on:random_seed=545215977:hsq=on:hsqr=16,1:avsq=on:s2a=on:i=13534:hsql=off:nm=16:nicw=on:ins=20:rtra=on:ss=axioms:ntd=on_2866 on theBenchmark for (2866ds/13534Mi)
% 114.04/16.61 % (1106390)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 114.04/16.61 % (1106390)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=1402031480:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2866 on theBenchmark for (2866ds/206Mi)
% 114.04/16.61 % (1106390)Instruction limit reached!
% 114.04/16.61 % (1106390)------------------------------
% 114.04/16.61 % (1106390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 114.04/16.61 % (1106390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.04/16.61 % (1106390)CaDiCaL version: 2.1.3
% 114.04/16.61 % (1106390)Termination reason: Instruction limit
% 114.04/16.61 % (1106390)Termination phase: Saturation
% 114.04/16.61 % (1106390)Time elapsed: 0.147 s
% 114.04/16.61 % (1106390)Peak memory usage: 13 MB
% 114.04/16.61 % (1106390)Instructions burned: 206 (million)
% 114.04/16.61 % (1106393)dis+1010_1_sfv=off:slsqr=2,1:to=kbo:plsq=on:cnfonf=lazy_simp:si=on:cbe=off:uwa=hol:nwc=2:s2agt=16:slsq=on:random_seed=54091883:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2864 on theBenchmark for (2864ds/2295Mi)
% 114.04/16.61 % (1106287)Instruction limit reached!
% 114.04/16.61 % (1106287)------------------------------
% 114.04/16.61 % (1106287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 114.04/16.61 % (1106287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.04/16.61 % (1106287)CaDiCaL version: 2.1.3
% 114.04/16.61 % (1106287)Termination reason: Instruction limit
% 114.04/16.61 % (1106287)Termination phase: Saturation
% 114.04/16.61 % (1106287)Time elapsed: 6.802 s
% 114.04/16.61 % (1106287)Peak memory usage: 64 MB
% 114.04/16.61 % (1106287)Instructions burned: 16204 (million)
% 114.04/16.61 % (1106395)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=3433455813:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2860 on theBenchmark for (2860ds/637Mi)
% 114.04/16.61 % (1106395)Instruction limit reached!
% 114.04/16.61 % (1106395)------------------------------
% 114.04/16.61 % (1106395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 114.04/16.61 % (1106395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.04/16.61 % (1106395)CaDiCaL version: 2.1.3
% 114.04/16.61 % (1106395)Termination reason: Instruction limit
% 114.04/16.61 % (1106395)Termination phase: Saturation
% 114.04/16.61 % (1106395)Time elapsed: 0.301 s
% 114.04/16.61 % (1106395)Peak memory usage: 18 MB
% 114.04/16.61 % (1106395)Instructions burned: 638 (million)
% 114.04/16.61 % (1106397)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=3978116118:hsq=on:i=667:rtra=on:ixr=off_2857 on theBenchmark for (2857ds/667Mi)
% 114.04/16.61 % (1106397)Instruction limit reached!
% 114.04/16.61 % (1106397)------------------------------
% 114.04/16.61 % (1106397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 114.04/16.61 % (1106397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.04/16.61 % (1106397)CaDiCaL version: 2.1.3
% 114.04/16.61 % (1106397)Termination reason: Instruction limit
% 114.04/16.61 % (1106397)Termination phase: Saturation
% 114.04/16.61 % (1106397)Time elapsed: 0.260 s
% 114.04/16.61 % (1106397)Peak memory usage: 12 MB
% 114.04/16.61 % (1106397)Instructions burned: 667 (million)
% 114.04/16.61 % (1106399)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=2544948301:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2854 on theBenchmark for (2854ds/1801Mi)
% 114.04/16.61 % (1106344)Instruction limit reached!
% 114.04/16.61 % (1106344)------------------------------
% 114.04/16.61 % (1106344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 125.19/18.18 % (1106344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.19/18.18 % (1106344)CaDiCaL version: 2.1.3
% 125.19/18.18 % (1106344)Termination reason: Instruction limit
% 125.19/18.18 % (1106344)Termination phase: Saturation
% 125.19/18.18 % (1106344)Time elapsed: 4.920 s
% 125.19/18.18 % (1106344)Peak memory usage: 21 MB
% 125.19/18.18 % (1106344)Instructions burned: 6763 (million)
% 125.19/18.18 % (1106401)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=4175526994:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2852 on theBenchmark for (2852ds/555Mi)
% 125.19/18.18 % (1106401)Instruction limit reached!
% 125.19/18.18 % (1106401)------------------------------
% 125.19/18.18 % (1106401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 125.19/18.18 % (1106401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.19/18.18 % (1106401)CaDiCaL version: 2.1.3
% 125.19/18.18 % (1106401)Termination reason: Instruction limit
% 125.19/18.18 % (1106401)Termination phase: Saturation
% 125.19/18.18 % (1106401)Time elapsed: 0.211 s
% 125.19/18.18 % (1106401)Peak memory usage: 12 MB
% 125.19/18.18 % (1106401)Instructions burned: 556 (million)
% 125.19/18.18 % (1106403)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3351871413:i=88:s2at=3:nm=2:rtra=on:rawr=on_2850 on theBenchmark for (2850ds/88Mi)
% 125.19/18.18 % (1106403)Instruction limit reached!
% 125.19/18.18 % (1106403)------------------------------
% 125.19/18.18 % (1106403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 125.19/18.18 % (1106403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.19/18.18 % (1106403)CaDiCaL version: 2.1.3
% 125.19/18.18 % (1106403)Termination reason: Instruction limit
% 125.19/18.18 % (1106403)Termination phase: Property scanning
% 125.19/18.18 % (1106403)Time elapsed: 0.046 s
% 125.19/18.18 % (1106403)Peak memory usage: 11 MB
% 125.19/18.18 % (1106403)Instructions burned: 89 (million)
% 125.19/18.18 % (1106405)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3738696214:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2849 on theBenchmark for (2849ds/280Mi)
% 125.19/18.18 % (1106393)Instruction limit reached!
% 125.19/18.18 % (1106393)------------------------------
% 125.19/18.18 % (1106393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 125.19/18.18 % (1106393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.19/18.18 % (1106393)CaDiCaL version: 2.1.3
% 125.19/18.18 % (1106393)Termination reason: Instruction limit
% 125.19/18.18 % (1106393)Termination phase: Saturation
% 125.19/18.18 % (1106393)Time elapsed: 1.520 s
% 125.19/18.18 % (1106393)Peak memory usage: 12 MB
% 125.19/18.18 % (1106393)Instructions burned: 2297 (million)
% 125.19/18.18 % (1106407)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=369897147:s2a=on:i=3166:bd=preordered:rtra=on_2849 on theBenchmark for (2849ds/3166Mi)
% 125.19/18.18 % (1106405)Instruction limit reached!
% 125.19/18.18 % (1106405)------------------------------
% 125.19/18.18 % (1106405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 125.19/18.18 % (1106405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.19/18.18 % (1106405)CaDiCaL version: 2.1.3
% 125.19/18.18 % (1106405)Termination reason: Instruction limit
% 125.19/18.18 % (1106405)Termination phase: Saturation
% 125.19/18.18 % (1106405)Time elapsed: 0.130 s
% 125.19/18.18 % (1106405)Peak memory usage: 12 MB
% 125.19/18.18 % (1106405)Instructions burned: 282 (million)
% 125.19/18.18 % (1106409)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 125.19/18.18 % (1106409)lrs+1010_128_to=kbo:plsq=on:plsqc=4:cnfonf=lazy_pi_sigma_gen:bsd=on:si=on:sp=occurrence:sos=on:plsql=on:random_seed=4073916503:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2848 on theBenchmark for (2848ds/4201Mi)
% 125.19/18.18 % (1106369)Instruction limit reached!
% 125.19/18.18 % (1106369)------------------------------
% 125.19/18.18 % (1106369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 125.19/18.18 % (1106369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.19/18.18 % (1106369)CaDiCaL version: 2.1.3
% 125.19/18.18 % (1106369)Termination reason: Instruction limit
% 125.19/18.18 % (1106369)Termination phase: Saturation
% 125.19/18.18 % (1106369)Time elapsed: 4.274 s
% 128.94/18.98 % (1106369)Peak memory usage: 13 MB
% 128.94/18.98 % (1106369)Instructions burned: 6581 (million)
% 128.94/18.98 % (1106411)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2383049010:i=2352:rtra=on:ixr=off_2846 on theBenchmark for (2846ds/2352Mi)
% 128.94/18.98 % (1106399)Instruction limit reached!
% 128.94/18.98 % (1106399)------------------------------
% 128.94/18.98 % (1106399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 128.94/18.98 % (1106399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.94/18.98 % (1106399)CaDiCaL version: 2.1.3
% 128.94/18.98 % (1106399)Termination reason: Instruction limit
% 128.94/18.98 % (1106399)Termination phase: Saturation
% 128.94/18.98 % (1106399)Time elapsed: 1.173 s
% 128.94/18.98 % (1106399)Peak memory usage: 31 MB
% 128.94/18.98 % (1106399)Instructions burned: 1802 (million)
% 128.94/18.98 % (1106413)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 128.94/18.98 % (1106413)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=1062176407:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2842 on theBenchmark for (2842ds/452Mi)
% 128.94/18.98 % (1106413)Instruction limit reached!
% 128.94/18.98 % (1106413)------------------------------
% 128.94/18.98 % (1106413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 128.94/18.98 % (1106413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.94/18.98 % (1106413)CaDiCaL version: 2.1.3
% 128.94/18.98 % (1106413)Termination reason: Instruction limit
% 128.94/18.98 % (1106413)Termination phase: Saturation
% 128.94/18.98 % (1106413)Time elapsed: 0.313 s
% 128.94/18.98 % (1106413)Peak memory usage: 12 MB
% 128.94/18.98 % (1106413)Instructions burned: 454 (million)
% 128.94/18.98 % (1106415)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 128.94/18.98 % (1106415)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 128.94/18.98 % (1106415)ott+21_3:13_sil=128000:cnfonf=off:sas=cadical:si=on:sp=arity:lma=off:lsd=10:uwa=one_side_interpreted:mep=off:chr=on:random_seed=4280957577:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2839 on theBenchmark for (2839ds/483Mi)
% 128.94/18.98 % (1106411)Instruction limit reached!
% 128.94/18.98 % (1106411)------------------------------
% 128.94/18.98 % (1106411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 128.94/18.98 % (1106411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.94/18.98 % (1106411)CaDiCaL version: 2.1.3
% 128.94/18.98 % (1106411)Termination reason: Instruction limit
% 128.94/18.98 % (1106411)Termination phase: Saturation
% 128.94/18.98 % (1106411)Time elapsed: 0.826 s
% 128.94/18.98 % (1106411)Peak memory usage: 13 MB
% 128.94/18.98 % (1106411)Instructions burned: 2352 (million)
% 128.94/18.98 % (1106417)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3024123516:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2838 on theBenchmark for (2838ds/168Mi)
% 128.94/18.98 % (1106371)Instruction limit reached!
% 128.94/18.98 % (1106371)------------------------------
% 128.94/18.98 % (1106371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 128.94/18.98 % (1106371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.94/18.98 % (1106371)CaDiCaL version: 2.1.3
% 128.94/18.98 % (1106371)Termination reason: Instruction limit
% 128.94/18.98 % (1106371)Termination phase: Saturation
% 128.94/18.98 % (1106371)Time elapsed: 4.850 s
% 128.94/18.98 % (1106371)Peak memory usage: 22 MB
% 128.94/18.98 % (1106371)Instructions burned: 6210 (million)
% 128.94/18.98 % (1106419)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=3463267045:hsq=on:hsqr=16,1:s2a=on:i=17240:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2837 on theBenchmark for (2837ds/17240Mi)
% 128.94/18.98 % (1106417)Instruction limit reached!
% 128.94/18.98 % (1106417)------------------------------
% 128.94/18.98 % (1106417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 128.94/18.98 % (1106417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.97/19.80 % (1106417)CaDiCaL version: 2.1.3
% 135.97/19.80 % (1106417)Termination reason: Instruction limit
% 135.97/19.80 % (1106417)Termination phase: Saturation
% 135.97/19.80 % (1106417)Time elapsed: 0.079 s
% 135.97/19.80 % (1106417)Peak memory usage: 12 MB
% 135.97/19.80 % (1106417)Instructions burned: 168 (million)
% 135.97/19.80 % (1106421)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=141768648:i=2022:fsr=off:rtra=on:ixr=off_2837 on theBenchmark for (2837ds/2022Mi)
% 135.97/19.80 % (1106415)Instruction limit reached!
% 135.97/19.80 % (1106415)------------------------------
% 135.97/19.80 % (1106415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.97/19.80 % (1106415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.97/19.80 % (1106415)CaDiCaL version: 2.1.3
% 135.97/19.80 % (1106415)Termination reason: Instruction limit
% 135.97/19.80 % (1106415)Termination phase: Saturation
% 135.97/19.80 % (1106415)Time elapsed: 0.429 s
% 135.97/19.80 % (1106415)Peak memory usage: 16 MB
% 135.97/19.80 % (1106415)Instructions burned: 483 (million)
% 135.97/19.80 % (1106423)lrs+1010_3:1_sil=128000:tgt=full:plsq=on:drc=ordering:cnfonf=lazy_not_be_gen:si=on:etr=on:sp=reverse_arity:plsqr=32,1:urr=on:uwa=off:foolp=on:nwc=0.5:random_seed=1934973901:i=2274:kws=precedence:bd=preordered:av=off:rtra=on_2834 on theBenchmark for (2834ds/2274Mi)
% 135.97/19.80 % (1106379)Instruction limit reached!
% 135.97/19.80 % (1106379)------------------------------
% 135.97/19.80 % (1106379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.97/19.80 % (1106379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.97/19.80 % (1106379)CaDiCaL version: 2.1.3
% 135.97/19.80 % (1106379)Termination reason: Instruction limit
% 135.97/19.80 % (1106379)Termination phase: Saturation
% 135.97/19.80 % (1106379)Time elapsed: 5.077 s
% 135.97/19.80 % (1106379)Peak memory usage: 33 MB
% 135.97/19.80 % (1106379)Instructions burned: 6843 (million)
% 135.97/19.80 % (1106425)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=400369946:i=555:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2830 on theBenchmark for (2830ds/555Mi)
% 135.97/19.80 % (1106407)Instruction limit reached!
% 135.97/19.80 % (1106407)------------------------------
% 135.97/19.80 % (1106407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.97/19.80 % (1106407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.97/19.80 % (1106407)CaDiCaL version: 2.1.3
% 135.97/19.80 % (1106407)Termination reason: Instruction limit
% 135.97/19.80 % (1106407)Termination phase: Saturation
% 135.97/19.80 % (1106407)Time elapsed: 2.059 s
% 135.97/19.80 % (1106407)Peak memory usage: 13 MB
% 135.97/19.80 % (1106407)Instructions burned: 3167 (million)
% 135.97/19.80 % (1106427)dis+1002_4_sil=128000:si=on:lma=off:uwa=off:fd=off:sac=on:random_seed=1911364697:avsq=on:i=2220:rtra=on_2828 on theBenchmark for (2828ds/2220Mi)
% 135.97/19.80 % (1106425)Instruction limit reached!
% 135.97/19.80 % (1106425)------------------------------
% 135.97/19.80 % (1106425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.97/19.80 % (1106425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.97/19.80 % (1106425)CaDiCaL version: 2.1.3
% 135.97/19.80 % (1106425)Termination reason: Instruction limit
% 135.97/19.80 % (1106425)Termination phase: Saturation
% 135.97/19.80 % (1106425)Time elapsed: 0.425 s
% 135.97/19.80 % (1106425)Peak memory usage: 17 MB
% 135.97/19.81 % (1106425)Instructions burned: 555 (million)
% 135.97/19.81 % (1106429)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=1736568756:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2825 on theBenchmark for (2825ds/715Mi)
% 135.97/19.81 % (1106421)Instruction limit reached!
% 135.97/19.81 % (1106421)------------------------------
% 135.97/19.81 % (1106421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.97/19.81 % (1106421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.97/19.81 % (1106421)CaDiCaL version: 2.1.3
% 135.97/19.81 % (1106421)Termination reason: Instruction limit
% 135.97/19.81 % (1106421)Termination phase: Saturation
% 135.97/19.81 % (1106421)Time elapsed: 1.514 s
% 135.97/19.81 % (1106421)Peak memory usage: 28 MB
% 135.97/19.81 % (1106421)Instructions burned: 2023 (million)
% 135.97/19.81 % (1106431)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) 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
% 135.97/19.81 % (1106431)lrs+1010_4:7_anc=none:tgt=ground:cnfonf=lazy_gen:sas=cadical:si=on:uwa=interpreted_only:s2agt=60:sac=on:random_seed=4080375599:i=1979:nm=2:rtra=on:amm=off:ss=axioms:ntd=on_2821 on theBenchmark for (2821ds/1979Mi)
% 144.19/21.07 % (1106409)Instruction limit reached!
% 144.19/21.07 % (1106409)------------------------------
% 144.19/21.07 % (1106409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.19/21.07 % (1106409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.19/21.07 % (1106409)CaDiCaL version: 2.1.3
% 144.19/21.07 % (1106409)Termination reason: Instruction limit
% 144.19/21.07 % (1106409)Termination phase: Saturation
% 144.19/21.07 % (1106409)Time elapsed: 2.662 s
% 144.19/21.07 % (1106409)Peak memory usage: 35 MB
% 144.19/21.07 % (1106409)Instructions burned: 4201 (million)
% 144.19/21.07 % (1106433)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=2005745831:s2a=on:i=28911:sd=1:rtra=on:ss=axioms:sgt=128_2821 on theBenchmark for (2821ds/28911Mi)
% 144.19/21.07 % (1106429)Instruction limit reached!
% 144.19/21.07 % (1106429)------------------------------
% 144.19/21.07 % (1106429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.19/21.07 % (1106429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.19/21.07 % (1106429)CaDiCaL version: 2.1.3
% 144.19/21.07 % (1106429)Termination reason: Instruction limit
% 144.19/21.07 % (1106429)Termination phase: Saturation
% 144.19/21.07 % (1106429)Time elapsed: 0.524 s
% 144.19/21.07 % (1106429)Peak memory usage: 17 MB
% 144.19/21.07 % (1106429)Instructions burned: 715 (million)
% 144.19/21.07 % (1106435)lrs+1002_1_to=lpo:sil=128000:cnfonf=lazy_not_be_gen:si=on:sp=reverse_arity:sos=on:erd=off:lma=off:spb=units:urr=on:cbe=off:uwa=one_side_constant:random_seed=2153607568:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_2819 on theBenchmark for (2819ds/414Mi)
% 144.19/21.07 % (1106423)Instruction limit reached!
% 144.19/21.07 % (1106423)------------------------------
% 144.19/21.07 % (1106423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.19/21.07 % (1106423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.19/21.07 % (1106423)CaDiCaL version: 2.1.3
% 144.19/21.07 % (1106423)Termination reason: Instruction limit
% 144.19/21.07 % (1106423)Termination phase: Saturation
% 144.19/21.07 % (1106423)Time elapsed: 1.663 s
% 144.19/21.07 % (1106423)Peak memory usage: 19 MB
% 144.19/21.07 % (1106423)Instructions burned: 2275 (million)
% 144.19/21.07 % (1106437)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2199131039:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2817 on theBenchmark for (2817ds/429Mi)
% 144.19/21.07 % (1106435)Instruction limit reached!
% 144.19/21.07 % (1106435)------------------------------
% 144.19/21.07 % (1106435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.19/21.07 % (1106435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.19/21.07 % (1106435)CaDiCaL version: 2.1.3
% 144.19/21.07 % (1106435)Termination reason: Instruction limit
% 144.19/21.07 % (1106435)Termination phase: Saturation
% 144.19/21.07 % (1106435)Time elapsed: 0.277 s
% 144.19/21.07 % (1106435)Peak memory usage: 12 MB
% 144.19/21.07 % (1106435)Instructions burned: 414 (million)
% 144.19/21.07 % (1106439)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 144.19/21.07 % (1106439)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=2608280875:lrd=on:i=841:nm=0:rtra=on_2816 on theBenchmark for (2816ds/841Mi)
% 144.19/21.07 % (1106437)Instruction limit reached!
% 144.19/21.07 % (1106437)------------------------------
% 144.19/21.07 % (1106437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.19/21.07 % (1106437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.19/21.07 % (1106437)CaDiCaL version: 2.1.3
% 144.19/21.07 % (1106437)Termination reason: Instruction limit
% 144.19/21.07 % (1106437)Termination phase: Saturation
% 144.19/21.07 % (1106437)Time elapsed: 0.264 s
% 144.19/21.07 % (1106437)Peak memory usage: 12 MB
% 144.19/21.07 % (1106437)Instructions burned: 429 (million)
% 144.19/21.07 % (1106441)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1283450456:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2814 on theBenchmark for (2814ds/445Mi)
% 144.19/21.07 % (1106427)Instruction limit reached!
% 144.19/21.07 % (1106427)------------------------------
% 144.19/21.07 % (1106427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.19/21.07 % (1106427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 159.48/23.26 % (1106427)CaDiCaL version: 2.1.3
% 159.48/23.26 % (1106427)Termination reason: Instruction limit
% 159.48/23.26 % (1106427)Termination phase: Saturation
% 159.48/23.26 % (1106427)Time elapsed: 1.434 s
% 159.48/23.26 % (1106427)Peak memory usage: 12 MB
% 159.48/23.26 % (1106427)Instructions burned: 2222 (million)
% 159.48/23.26 % (1106443)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=2714587230:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_2813 on theBenchmark for (2813ds/1324Mi)
% 159.48/23.26 % (1106441)Instruction limit reached!
% 159.48/23.26 % (1106441)------------------------------
% 159.48/23.26 % (1106441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 159.48/23.26 % (1106441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 159.48/23.26 % (1106441)CaDiCaL version: 2.1.3
% 159.48/23.26 % (1106441)Termination reason: Instruction limit
% 159.48/23.26 % (1106441)Termination phase: Saturation
% 159.48/23.26 % (1106441)Time elapsed: 0.278 s
% 159.48/23.26 % (1106441)Peak memory usage: 13 MB
% 159.48/23.26 % (1106441)Instructions burned: 446 (million)
% 159.48/23.26 % (1106449)dis+21_1_sil=128000:cnfonf=off:e2e=on:si=on:sos=on:spb=goal_then_units:acc=on:uwa=one_side_interpreted:random_seed=3368225850:i=5401:kws=precedence:ep=RST:rtra=on:ss=axioms_2811 on theBenchmark for (2811ds/5401Mi)
% 159.48/23.26 % (1106449)Refutation not found, incomplete strategy
% 159.48/23.26 % (1106449)------------------------------
% 159.48/23.26 % (1106449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 159.48/23.26 % (1106449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 159.48/23.26 % (1106449)CaDiCaL version: 2.1.3
% 159.48/23.26 % (1106449)Termination reason: Refutation not found, incomplete strategy
% 159.48/23.26 % (1106449)Time elapsed: 0.072 s
% 159.48/23.26 % (1106449)Peak memory usage: 14 MB
% 159.48/23.26 % (1106449)Instructions burned: 74 (million)
% 159.48/23.26 % (1106449)------------------------------
% 159.48/23.26 % (1106449)------------------------------
% 159.48/23.26 % (1106453)lrs+10_1_sil=128000:fde=none:e2e=on:si=on:uwa=one_side_interpreted:random_seed=528529562:s2a=on:i=4070:s2at=3:bd=all:nm=16:av=off:fsr=off:rtra=on_2810 on theBenchmark for (2810ds/4070Mi)
% 159.48/23.26 % (1106439)Instruction limit reached!
% 159.48/23.26 % (1106439)------------------------------
% 159.48/23.26 % (1106439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 159.48/23.26 % (1106439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 159.48/23.26 % (1106439)CaDiCaL version: 2.1.3
% 159.48/23.26 % (1106439)Termination reason: Instruction limit
% 159.48/23.26 % (1106439)Termination phase: Saturation
% 159.48/23.26 % (1106439)Time elapsed: 0.649 s
% 159.48/23.26 % (1106439)Peak memory usage: 19 MB
% 159.48/23.26 % (1106439)Instructions burned: 841 (million)
% 159.48/23.26 % (1106455)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3367009615:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2810 on theBenchmark for (2810ds/984Mi)
% 159.48/23.26 % (1106431)Instruction limit reached!
% 159.48/23.26 % (1106431)------------------------------
% 159.48/23.26 % (1106431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 159.48/23.26 % (1106431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 159.48/23.26 % (1106431)CaDiCaL version: 2.1.3
% 159.48/23.26 % (1106431)Termination reason: Instruction limit
% 159.48/23.26 % (1106431)Termination phase: Saturation
% 159.48/23.26 % (1106431)Time elapsed: 1.514 s
% 159.48/23.26 % (1106431)Peak memory usage: 22 MB
% 159.48/23.26 % (1106431)Instructions burned: 1979 (million)
% 159.48/23.26 % (1106460)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=2398579239:cts=off:i=112:fsr=off:rtra=on:fe=abstraction_2806 on theBenchmark for (2806ds/112Mi)
% 159.48/23.26 % (1106460)Instruction limit reached!
% 159.48/23.26 % (1106460)------------------------------
% 159.48/23.26 % (1106460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 159.48/23.26 % (1106460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 159.48/23.26 % (1106460)CaDiCaL version: 2.1.3
% 159.48/23.26 % (1106460)Termination reason: Instruction limit
% 159.48/23.26 % (1106460)Termination phase: Saturation
% 159.48/23.26 % (1106460)Time elapsed: 0.058 s
% 159.48/23.26 % (1106460)Peak memory usage: 12 MB
% 159.48/23.26 % (1106460)Instructions burned: 113 (million)
% 159.48/23.26 % (1106463)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=524331669:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2805 on theBenchmark for (2805ds/1144Mi)
% 180.16/26.08 % (1106455)Instruction limit reached!
% 180.16/26.08 % (1106455)------------------------------
% 180.16/26.08 % (1106455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.16/26.08 % (1106455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.16/26.08 % (1106455)CaDiCaL version: 2.1.3
% 180.16/26.08 % (1106455)Termination reason: Instruction limit
% 180.16/26.08 % (1106455)Termination phase: Saturation
% 180.16/26.08 % (1106455)Time elapsed: 0.620 s
% 180.16/26.08 % (1106455)Peak memory usage: 13 MB
% 180.16/26.08 % (1106455)Instructions burned: 985 (million)
% 180.16/26.08 % (1106471)dis+10_128_sil=128000:tgt=full:plsq=on:plsqc=3:cnfonf=off:si=on:sp=arity:spb=goal_then_units:uwa=one_side_interpreted:nwc=1.5:random_seed=1844445147:i=1352:add=off:kws=frequency:rtra=on:ntd=on_2803 on theBenchmark for (2803ds/1352Mi)
% 180.16/26.08 % (1106443)Instruction limit reached!
% 180.16/26.08 % (1106443)------------------------------
% 180.16/26.08 % (1106443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.16/26.08 % (1106443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.16/26.08 % (1106443)CaDiCaL version: 2.1.3
% 180.16/26.08 % (1106443)Termination reason: Instruction limit
% 180.16/26.08 % (1106443)Termination phase: Saturation
% 180.16/26.08 % (1106443)Time elapsed: 1.049 s
% 180.16/26.08 % (1106443)Peak memory usage: 25 MB
% 180.16/26.08 % (1106443)Instructions burned: 1324 (million)
% 180.16/26.08 % (1106474)dis+1010_4_anc=all_dependent:to=lpo:sil=128000:fde=unused:cnfonf=conj_eager:si=on:sp=reverse_frequency:lma=off:spb=intro:cbe=off:uwa=off:random_seed=2256743282:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2802 on theBenchmark for (2802ds/693Mi)
% 180.16/26.08 % (1106471)Refutation not found, incomplete strategy
% 180.16/26.08 % (1106471)------------------------------
% 180.16/26.08 % (1106471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.16/26.08 % (1106471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.16/26.08 % (1106471)CaDiCaL version: 2.1.3
% 180.16/26.08 % (1106471)Termination reason: Refutation not found, incomplete strategy
% 180.16/26.08 % (1106471)Time elapsed: 0.409 s
% 180.16/26.08 % (1106471)Peak memory usage: 18 MB
% 180.16/26.08 % (1106471)Instructions burned: 565 (million)
% 180.16/26.08 % (1106471)------------------------------
% 180.16/26.08 % (1106471)------------------------------
% 180.16/26.08 % (1106479)lrs+1010_1_to=lpo:sil=128000:drc=ordering:cnfonf=lazy_gen:si=on:nwc=2:random_seed=3746611735:s2a=on:i=908:bd=all:rtra=on:fe=abstraction:ntd=on_2799 on theBenchmark for (2799ds/908Mi)
% 180.16/26.08 % (1106474)Instruction limit reached!
% 180.16/26.08 % (1106474)------------------------------
% 180.16/26.08 % (1106474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.16/26.08 % (1106474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.16/26.08 % (1106474)CaDiCaL version: 2.1.3
% 180.16/26.08 % (1106474)Termination reason: Instruction limit
% 180.16/26.08 % (1106474)Termination phase: Saturation
% 180.16/26.08 % (1106474)Time elapsed: 0.561 s
% 180.16/26.08 % (1106474)Peak memory usage: 14 MB
% 180.16/26.08 % (1106474)Instructions burned: 693 (million)
% 180.16/26.08 % (1106463)Instruction limit reached!
% 180.16/26.08 % (1106463)------------------------------
% 180.16/26.08 % (1106463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.16/26.08 % (1106463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.16/26.08 % (1106463)CaDiCaL version: 2.1.3
% 180.16/26.08 % (1106463)Termination reason: Instruction limit
% 180.16/26.08 % (1106463)Termination phase: Saturation
% 180.16/26.08 % (1106463)Time elapsed: 0.858 s
% 180.16/26.08 % (1106463)Peak memory usage: 18 MB
% 180.16/26.08 % (1106463)Instructions burned: 1144 (million)
% 180.16/26.08 % (1106481)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=621262560:i=6901:add=on:slsql=off:rtra=on:ntd=on_2796 on theBenchmark for (2796ds/6901Mi)
% 180.16/26.08 % (1106482)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4142971783:uwa_fpi=on:i=3621:add=on:doe=on:ins=1:rtra=on_2796 on theBenchmark for (2796ds/3621Mi)
% 180.16/26.08 % (1106479)Instruction limit reached!
% 180.16/26.08 % (1106479)------------------------------
% 180.16/26.08 % (1106479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.16/26.08 % (1106479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.16/26.08 % (1106479)CaDiCaL version: 2.1.3
% 180.16/26.08 % (1106479)Termination reason: Instruction limit
% 180.16/26.08 % (1106479)Termination phase: Saturation
% 180.16/26.08 % (1106479)Time elapsed: 0.607 s
% 180.16/26.08 % (1106479)Peak memory usage: 12 MB
% 180.16/26.08 % (1106479)Instructions burned: 909 (million)
% 180.16/26.08 % (1106487)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=3000387169:i=1160:kws=precedence:bd=preordered:av=off:rtra=on_2792 on theBenchmark for (2792ds/1160Mi)
% 180.16/26.08 % (1106487)Instruction limit reached!
% 180.16/26.08 % (1106487)------------------------------
% 180.16/26.08 % (1106487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.16/26.08 % (1106487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.16/26.08 % (1106487)CaDiCaL version: 2.1.3
% 180.16/26.08 % (1106487)Termination reason: Instruction limit
% 180.16/26.08 % (1106487)Termination phase: Saturation
% 180.16/26.08 % (1106487)Time elapsed: 0.907 s
% 180.16/26.08 % (1106487)Peak memory usage: 18 MB
% 180.16/26.08 % (1106487)Instructions burned: 1163 (million)
% 180.16/26.08 % (1106501)ott+1003_256_anc=none:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:cbe=off:nwc=2:random_seed=937334228:i=570:kws=frequency:aac=none:ep=RSTC:rtra=on:ntd=on:rawr=on_2783 on theBenchmark for (2783ds/570Mi)
% 180.16/26.08 % (1106501)Instruction limit reached!
% 180.16/26.08 % (1106501)------------------------------
% 180.16/26.08 % (1106501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.16/26.08 % (1106501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.16/26.08 % (1106501)CaDiCaL version: 2.1.3
% 180.16/26.08 % (1106501)Termination reason: Instruction limit
% 180.16/26.08 % (1106501)Termination phase: Saturation
% 180.16/26.08 % (1106501)Time elapsed: 0.358 s
% 180.16/26.08 % (1106501)Peak memory usage: 12 MB
% 180.16/26.08 % (1106501)Instructions burned: 571 (million)
% 180.16/26.08 % (1106505)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=2318901782:i=324:bd=all:ins=4:rtra=on_2779 on theBenchmark for (2779ds/324Mi)
% 180.16/26.08 % (1106505)Instruction limit reached!
% 180.16/26.08 % (1106505)------------------------------
% 180.16/26.08 % (1106505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.16/26.08 % (1106505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.16/26.08 % (1106505)CaDiCaL version: 2.1.3
% 180.16/26.08 % (1106505)Termination reason: Instruction limit
% 180.16/26.08 % (1106505)Termination phase: Saturation
% 180.16/26.08 % (1106505)Time elapsed: 0.247 s
% 180.16/26.08 % (1106505)Peak memory usage: 13 MB
% 180.16/26.08 % (1106505)Instructions burned: 324 (million)
% 180.16/26.08 % (1106507)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:e2e=on:si=on:lma=off:bsr=on:uwa=interpreted_only:nwc=1:sac=on:random_seed=1414807359:s2a=on:i=5712:rtra=on_2776 on theBenchmark for (2776ds/5712Mi)
% 180.16/26.08 % (1106453)Instruction limit reached!
% 180.16/26.08 % (1106453)------------------------------
% 180.16/26.08 % (1106453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.16/26.08 % (1106453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.16/26.08 % (1106453)CaDiCaL version: 2.1.3
% 180.16/26.08 % (1106453)Termination reason: Instruction limit
% 180.16/26.08 % (1106453)Termination phase: Saturation
% 180.16/26.08 % (1106453)Time elapsed: 3.382 s
% 180.16/26.08 % (1106453)Peak memory usage: 26 MB
% 180.16/26.08 % (1106453)Instructions burned: 4070 (million)
% 180.16/26.08 % (1106509)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 180.16/26.08 % (1106509)WARNING Broken Constraint: if positive_literal_split_queue_layered_arrangement(on) has been set then positive_literal_split_queue(off) is equal to on
% 180.16/26.08 % (1106509)ott+1010_3:16_to=lpo:sil=128000:cnfonf=lazy_simp:si=on:lma=off:plsqr=32,1:plsql=on:uwa=interpreted_only:random_seed=2533328625:i=901:rtra=on:fsd=on_2776 on theBenchmark for (2776ds/901Mi)
% 180.16/26.08 % (1106482)Instruction limit reached!
% 180.16/26.08 % (1106482)------------------------------
% 180.16/26.08 % (1106482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.16/26.08 % (1106482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.16/26.08 % (1106482)CaDiCaL version: 2.1.3
% 180.16/26.08 % (1106482)Termination reason: Instruction limit
% 180.16/26.08 % (1106482)Termination phase: Saturation
% 180.16/26.08 % (1106482)Time elapsed: 2.572 s
% 180.16/26.08 % (1106482)Peak memory usage: 33 MB
% 180.16/26.08 % (1106482)Instructions burned: 3621 (million)
% 180.16/26.08 % (1106509)Instruction limit reached!
% 180.16/26.08 % (1106509)------------------------------
% 180.16/26.08 % (1106509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.16/26.08 % (1106509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.16/26.08 % (1106509)CaDiCaL version: 2.1.3
% 180.16/26.08 % (1106509)Termination reason: Instruction limit
% 180.16/26.08 % (1106509)Termination phase: Saturation
% 180.16/26.08 % (1106509)Time elapsed: 0.533 s
% 180.16/26.08 % (1106509)Peak memory usage: 12 MB
% 180.16/26.08 % (1106509)Instructions burned: 901 (million)
% 180.16/26.08 % (1106515)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=3390417951:hsq=on:hsqr=16,1:s2a=on:i=3526:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2770 on theBenchmark for (2770ds/3526Mi)
% 180.16/26.08 % (1106514)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1010688311:st=3:s2a=on:i=2961:sd=3:rtra=on:ss=axioms_2770 on theBenchmark for (2770ds/2961Mi)
% 180.16/26.08 % (1106389)Instruction limit reached!
% 180.16/26.08 % (1106389)------------------------------
% 180.16/26.08 % (1106389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.16/26.08 % (1106389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.16/26.08 % (1106389)CaDiCaL version: 2.1.3
% 180.16/26.08 % (1106389)Termination reason: Instruction limit
% 180.16/26.08 % (1106389)Termination phase: Saturation
% 180.16/26.08 % (1106389)Time elapsed: 10.063 s
% 180.16/26.08 % (1106389)Peak memory usage: 30 MB
% 180.16/26.08 % (1106389)Instructions burned: 13535 (million)
% 180.16/26.08 % (1106519)dis+10_1024_sil=128000:si=on:uwa=off:random_seed=2541949726:st=4:i=3368:sd=3:rtra=on:ss=axioms:sgt=10_2765 on theBenchmark for (2765ds/3368Mi)
% 180.16/26.08 % (1106419)Instruction limit reached!
% 180.16/26.08 % (1106419)------------------------------
% 180.16/26.08 % (1106419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.16/26.08 % (1106419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.16/26.08 % (1106419)CaDiCaL version: 2.1.3
% 180.16/26.08 % (1106419)Termination reason: Instruction limit
% 180.16/26.08 % (1106419)Termination phase: Saturation
% 180.16/26.08 % (1106419)Time elapsed: 7.793 s
% 180.16/26.08 % (1106419)Peak memory usage: 58 MB
% 180.16/26.08 % (1106419)Instructions burned: 17241 (million)
% 180.16/26.08 % (1106525)dis+1010_1024_sil=128000:plsq=on:plsqc=1:e2e=on:si=on:lma=off:plsqr=64,1:uwa=interpreted_only:fd=off:random_seed=2332426239:i=20626:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2759 on theBenchmark for (2759ds/20626Mi)
% 180.16/26.08 % (1106514)Instruction limit reached!
% 180.16/26.08 % (1106514)------------------------------
% 180.16/26.08 % (1106514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.16/26.08 % (1106514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.16/26.08 % (1106514)CaDiCaL version: 2.1.3
% 180.16/26.08 % (1106514)Termination reason: Instruction limit
% 180.16/26.08 % (1106514)Termination phase: Saturation
% 180.16/26.08 % (1106514)Time elapsed: 1.989 s
% 180.16/26.08 % (1106514)Peak memory usage: 31 MB
% 180.16/26.08 % (1106514)Instructions burned: 2961 (million)
% 180.16/26.08 % (1106527)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3249219026:hsq=on:hsqr=1,8:i=27154:hsql=off:bd=all:rtra=on:ixr=off_2750 on theBenchmark for (2750ds/27154Mi)
% 180.16/26.08 % (1106481) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1105870-1106481"...
% 180.16/26.08 % (1106481)...printing done.
% 180.16/26.08 % (1106481)Refutation found. Thanks to Tanya!
% 180.16/26.08 % SZS status Theorem for theBenchmark
% 180.16/26.08 % SZS output start Proof for theBenchmark
% 180.16/26.08 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 180.16/26.08 thf(func_def_0, type, c_Eps_i: (($i > $o) > $i)).
% 180.16/26.08 thf(func_def_1, type, c_False: $o).
% 180.16/26.08 thf(func_def_2, type, c_True: $o).
% 180.16/26.08 thf(func_def_3, type, c_not: ($o > $o)).
% 180.16/26.08 thf(func_def_4, type, c_and: ($o > $o > $o)).
% 180.16/26.08 thf(func_def_5, type, c_or: ($o > $o > $o)).
% 180.16/26.08 thf(func_def_6, type, c_iff: ($o > $o > $o)).
% 180.16/26.08 thf(func_def_7, type, c_In: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_8, type, c_Subq: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_10, type, c_Union: ($i > $i)).
% 180.16/26.08 thf(func_def_11, type, c_Power: ($i > $i)).
% 180.16/26.08 thf(func_def_12, type, c_Repl: ($i > ($i > $i) > $i)).
% 180.16/26.08 thf(func_def_13, type, c_TransSet: ($i > $o)).
% 180.16/26.08 thf(func_def_14, type, c_atleast2: ($i > $o)).
% 180.16/26.08 thf(func_def_15, type, c_atleast3: ($i > $o)).
% 180.16/26.08 thf(func_def_16, type, c_atleast4: ($i > $o)).
% 180.16/26.08 thf(func_def_17, type, c_atleast5: ($i > $o)).
% 180.16/26.08 thf(func_def_18, type, c_atleast6: ($i > $o)).
% 180.16/26.08 thf(func_def_19, type, c_exactly2: ($i > $o)).
% 180.16/26.08 thf(func_def_20, type, c_exactly3: ($i > $o)).
% 180.16/26.08 thf(func_def_21, type, c_exactly4: ($i > $o)).
% 180.16/26.08 thf(func_def_22, type, c_exactly5: ($i > $o)).
% 180.16/26.08 thf(func_def_23, type, c_exu_i: (($i > $o) > $o)).
% 180.16/26.08 thf(func_def_24, type, c_reflexive_i: (($i > $i > $o) > $o)).
% 180.16/26.08 thf(func_def_25, type, c_irreflexive_i: (($i > $i > $o) > $o)).
% 180.16/26.08 thf(func_def_26, type, c_symmetric_i: (($i > $i > $o) > $o)).
% 180.16/26.08 thf(func_def_27, type, c_antisymmetric_i: (($i > $i > $o) > $o)).
% 180.16/26.08 thf(func_def_28, type, c_transitive_i: (($i > $i > $o) > $o)).
% 180.16/26.08 thf(func_def_29, type, c_eqreln_i: (($i > $i > $o) > $o)).
% 180.16/26.08 thf(func_def_30, type, c_per_i: (($i > $i > $o) > $o)).
% 180.16/26.08 thf(func_def_31, type, c_linear_i: (($i > $i > $o) > $o)).
% 180.16/26.08 thf(func_def_32, type, c_trichotomous_or_i: (($i > $i > $o) > $o)).
% 180.16/26.08 thf(func_def_33, type, c_partialorder_i: (($i > $i > $o) > $o)).
% 180.16/26.08 thf(func_def_34, type, c_totalorder_i: (($i > $i > $o) > $o)).
% 180.16/26.08 thf(func_def_35, type, c_strictpartialorder_i: (($i > $i > $o) > $o)).
% 180.16/26.08 thf(func_def_36, type, c_stricttotalorder_i: (($i > $i > $o) > $o)).
% 180.16/26.08 thf(func_def_37, type, c_If_i: ($o > $i > $i > $i)).
% 180.16/26.08 thf(func_def_38, type, c_exactly1of2: ($o > $o > $o)).
% 180.16/26.08 thf(func_def_39, type, c_exactly1of3: ($o > $o > $o > $o)).
% 180.16/26.08 thf(func_def_40, type, c_nIn: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_41, type, c_nSubq: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_42, type, c_UPair: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_43, type, c_Sing: ($i > $i)).
% 180.16/26.08 thf(func_def_44, type, c_binunion: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_45, type, c_SetAdjoin: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_46, type, c_famunion: ($i > ($i > $i) > $i)).
% 180.16/26.08 thf(func_def_47, type, c_Sep: ($i > ($i > $o) > $i)).
% 180.16/26.08 thf(func_def_48, type, c_ReplSep: ($i > ($i > $o) > ($i > $i) > $i)).
% 180.16/26.08 thf(func_def_49, type, c_binintersect: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_50, type, c_setminus: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_51, type, c_inj: ($i > $i > ($i > $i) > $o)).
% 180.16/26.08 thf(func_def_52, type, c_bij: ($i > $i > ($i > $i) > $o)).
% 180.16/26.08 thf(func_def_53, type, c_atleastp: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_54, type, c_equip: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_55, type, c_In_rec_poly_G_i: (($i > ($i > $i) > $i) > $i > $i > $o)).
% 180.16/26.08 thf(func_def_56, type, c_In_rec_poly_i: (($i > ($i > $i) > $i) > $i > $i)).
% 180.16/26.08 thf(func_def_57, type, c_ordsucc: ($i > $i)).
% 180.16/26.08 thf(func_def_58, type, c_nat_p: ($i > $o)).
% 180.16/26.08 thf(func_def_59, type, c_nat_primrec: ($i > ($i > $i > $i) > $i > $i)).
% 180.16/26.08 thf(func_def_60, type, c_add_nat: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_61, type, c_mul_nat: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_62, type, c_ordinal: ($i > $o)).
% 180.16/26.08 thf(func_def_63, type, c_V_: ($i > $i)).
% 180.16/26.08 thf(func_def_64, type, c_Inj1: ($i > $i)).
% 180.16/26.08 thf(func_def_65, type, c_Inj0: ($i > $i)).
% 180.16/26.08 thf(func_def_66, type, c_Unj: ($i > $i)).
% 180.16/26.08 thf(func_def_67, type, c_combine_funcs: ($i > $i > ($i > $i) > ($i > $i) > $i > $i)).
% 180.16/26.08 thf(func_def_68, type, c_setsum: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_69, type, c_proj0: ($i > $i)).
% 180.16/26.08 thf(func_def_70, type, c_proj1: ($i > $i)).
% 180.16/26.08 thf(func_def_71, type, c_binrep: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_72, type, c_lam: ($i > ($i > $i) > $i)).
% 180.16/26.08 thf(func_def_73, type, c_setprod: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_74, type, c_ap: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_75, type, c_setsum_p: ($i > $o)).
% 180.16/26.08 thf(func_def_76, type, c_tuple_p: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_77, type, c_Pi: ($i > ($i > $i) > $i)).
% 180.16/26.08 thf(func_def_78, type, c_setexp: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_79, type, c_Sep2: ($i > ($i > $i) > ($i > $i > $o) > $i)).
% 180.16/26.08 thf(func_def_80, type, c_set_of_pairs: ($i > $o)).
% 180.16/26.08 thf(func_def_81, type, c_lam2: ($i > ($i > $i) > ($i > $i > $i) > $i)).
% 180.16/26.08 thf(func_def_82, type, c_PNoEq_: ($i > ($i > $o) > ($i > $o) > $o)).
% 180.16/26.08 thf(func_def_83, type, c_PNoLt_: ($i > ($i > $o) > ($i > $o) > $o)).
% 180.16/26.08 thf(func_def_84, type, c_PNoLt: ($i > ($i > $o) > $i > ($i > $o) > $o)).
% 180.16/26.08 thf(func_def_85, type, c_PNoLe: ($i > ($i > $o) > $i > ($i > $o) > $o)).
% 180.16/26.08 thf(func_def_86, type, c_PNo_downc: (($i > ($i > $o) > $o) > $i > ($i > $o) > $o)).
% 180.16/26.08 thf(func_def_87, type, c_PNo_upc: (($i > ($i > $o) > $o) > $i > ($i > $o) > $o)).
% 180.16/26.08 thf(func_def_88, type, c_SNoElts_: ($i > $i)).
% 180.16/26.08 thf(func_def_89, type, c_SNo_: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_90, type, c_PSNo: ($i > ($i > $o) > $i)).
% 180.16/26.08 thf(func_def_91, type, c_SNo: ($i > $o)).
% 180.16/26.08 thf(func_def_92, type, c_SNoLev: ($i > $i)).
% 180.16/26.08 thf(func_def_93, type, c_SNoEq_: ($i > $i > $i > $o)).
% 180.16/26.08 thf(func_def_94, type, c_SNoLt: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_95, type, c_SNoLe: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_96, type, c_binop_on: ($i > ($i > $i > $i) > $o)).
% 180.16/26.08 thf(func_def_97, type, c_Loop: ($i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > $o)).
% 180.16/26.08 thf(func_def_98, type, c_Loop_with_defs: ($i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $o)).
% 180.16/26.08 thf(func_def_99, type, c_Loop_with_defs_cex1: ($i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $o)).
% 180.16/26.08 thf(func_def_100, type, c_Loop_with_defs_cex2: ($i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $o)).
% 180.16/26.08 thf(func_def_101, type, c_combinator: ($i > $o)).
% 180.16/26.08 thf(func_def_102, type, c_combinator_equiv: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_103, type, c_equip_mod: ($i > $i > $i > $o)).
% 180.16/26.08 thf(func_def_105, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 180.16/26.08 thf(func_def_106, type, vIMP: ($o > $o > $o)).
% 180.16/26.08 thf(func_def_107, type, db0: !>[X0: $tType]:(X0)).
% 180.16/26.08 thf(func_def_108, type, db2: !>[X0: $tType]:(X0)).
% 180.16/26.08 thf(func_def_109, type, db3: !>[X0: $tType]:(X0)).
% 180.16/26.08 thf(func_def_110, type, db1: !>[X0: $tType]:(X0)).
% 180.16/26.08 thf(func_def_111, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 180.16/26.08 thf(func_def_112, type, db4: !>[X0: $tType]:(X0)).
% 180.16/26.08 thf(func_def_113, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 180.16/26.08 thf(func_def_114, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 180.16/26.08 thf(func_def_117, type, db13: !>[X0: $tType]:(X0)).
% 180.16/26.08 thf(func_def_118, type, db12: !>[X0: $tType]:(X0)).
% 180.16/26.08 thf(func_def_119, type, db11: !>[X0: $tType]:(X0)).
% 180.16/26.08 thf(func_def_120, type, db10: !>[X0: $tType]:(X0)).
% 180.16/26.08 thf(func_def_121, type, db9: !>[X0: $tType]:(X0)).
% 180.16/26.08 thf(func_def_122, type, db8: !>[X0: $tType]:(X0)).
% 180.16/26.08 thf(func_def_123, type, db7: !>[X0: $tType]:(X0)).
% 180.16/26.08 thf(func_def_124, type, db6: !>[X0: $tType]:(X0)).
% 180.16/26.08 thf(func_def_125, type, db5: !>[X0: $tType]:(X0)).
% 180.16/26.08 thf(func_def_126, type, db14: !>[X0: $tType]:(X0)).
% 180.16/26.08 thf(func_def_127, type, db15: !>[X0: $tType]:(X0)).
% 180.16/26.08 thf(func_def_128, type, db16: !>[X0: $tType]:(X0)).
% 180.16/26.08 thf(func_def_129, type, db17: !>[X0: $tType]:(X0)).
% 180.16/26.08 thf(func_def_130, type, db18: !>[X0: $tType]:(X0)).
% 180.16/26.08 thf(func_def_131, type, sP0: (($i > $o) > $o)).
% 180.16/26.08 thf(func_def_132, type, sP1: (($i > $o) > $o)).
% 180.16/26.08 thf(func_def_133, type, sK2: (($i > $o) > $i)).
% 180.16/26.08 thf(func_def_134, type, sK3: (($i > $o) > $i > $i)).
% 180.16/26.08 thf(func_def_135, type, sK4: (($i > $o) > $i)).
% 180.16/26.08 thf(func_def_136, type, sK5: (($i > $o) > $i)).
% 180.16/26.08 thf(func_def_137, type, sK6: (($i > $o) > $i)).
% 180.16/26.08 thf(func_def_138, type, sK7: (($i > $o) > $i)).
% 180.16/26.08 thf(func_def_139, type, sK8: (($i > $o) > $i)).
% 180.16/26.08 thf(func_def_156, type, sF25: $o).
% 180.16/26.08 thf(func_def_157, type, sF26: $o).
% 180.16/26.08 thf(func_def_158, type, sF27: $o).
% 180.16/26.08 thf(func_def_159, type, sF28: $o).
% 180.16/26.08 thf(func_def_160, type, vNOT: ($o > $o)).
% 180.16/26.08 thf(func_def_161, type, sK29: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_162, type, sK30: (($i > $i) > $i > $i > $i)).
% 180.16/26.08 thf(func_def_163, type, sK31: (($i > $i) > $i > $i > $i > $o)).
% 180.16/26.08 thf(func_def_164, type, sK32: $o).
% 180.16/26.08 thf(func_def_166, type, sK34: ($i > $o)).
% 180.16/26.08 thf(func_def_167, type, sK35: ($i > $i)).
% 180.16/26.08 thf(func_def_170, type, sK38: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_171, type, sK39: ($i > ($i > $o) > $o)).
% 180.16/26.08 thf(func_def_172, type, sK40: ($i > $i)).
% 180.16/26.08 thf(func_def_173, type, sK41: ($i > ($i > $o) > $o)).
% 180.16/26.08 thf(func_def_174, type, sK42: ($i > $i)).
% 180.16/26.08 thf(func_def_175, type, sK43: ($i > ($i > $o) > $o)).
% 180.16/26.08 thf(func_def_176, type, sK44: $o).
% 180.16/26.08 thf(func_def_177, type, sK45: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_178, type, sK46: ($i > $i > $i > $o)).
% 180.16/26.08 thf(func_def_187, type, sK55: ($i > $o)).
% 180.16/26.08 thf(func_def_188, type, sK56: ($i > $o)).
% 180.16/26.08 thf(func_def_189, type, sK57: ($i > $i)).
% 180.16/26.08 thf(func_def_190, type, sK58: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_191, type, sK59: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_192, type, sK60: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_193, type, sK61: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_194, type, sK62: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_195, type, sK63: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_196, type, sK64: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_197, type, sK65: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_198, type, sK66: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_199, type, sK67: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_200, type, sK68: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_201, type, sK69: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_202, type, sK70: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_203, type, sK71: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_204, type, sK72: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_205, type, sK73: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_206, type, sK74: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_207, type, sK75: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_208, type, sK76: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_209, type, sK77: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_210, type, sK78: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_211, type, sK79: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_212, type, sK80: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_213, type, sK81: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_214, type, sK82: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_215, type, sK83: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_216, type, sK84: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_217, type, sK85: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_218, type, sK86: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_219, type, sK87: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_220, type, sK88: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_221, type, sK89: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_222, type, sK90: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_223, type, sK91: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_224, type, sK92: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_225, type, sK93: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_226, type, sK94: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_227, type, sK95: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_228, type, sK96: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_229, type, sK97: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_230, type, sK98: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_231, type, sK99: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_232, type, sK100: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_233, type, sK101: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_234, type, sK102: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_235, type, sK103: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_236, type, sK104: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_237, type, sK105: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_238, type, sK106: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_239, type, sK107: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_240, type, sK108: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_241, type, sK109: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_242, type, sK110: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_243, type, sK111: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_244, type, sK112: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_245, type, sK113: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_246, type, sK114: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_247, type, sK115: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_248, type, sK116: $o).
% 180.16/26.08 thf(func_def_250, type, sK118: ($i > $o)).
% 180.16/26.08 thf(func_def_251, type, sK119: ($i > $i)).
% 180.16/26.08 thf(func_def_252, type, sK120: ($i > $o)).
% 180.16/26.08 thf(func_def_253, type, sK121: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_254, type, sK122: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_255, type, sK123: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_256, type, sK124: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_257, type, sK125: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_258, type, sK126: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_259, type, sK127: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_260, type, sK128: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_261, type, sK129: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_262, type, sK130: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_263, type, sK131: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_264, type, sK132: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_265, type, sK133: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_266, type, sK134: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_267, type, sK135: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_268, type, sK136: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_269, type, sK137: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_270, type, sK138: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_271, type, sK139: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_272, type, sK140: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_273, type, sK141: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_274, type, sK142: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_275, type, sK143: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_276, type, sK144: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_277, type, sK145: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_278, type, sK146: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_279, type, sK147: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_280, type, sK148: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_281, type, sK149: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_282, type, sK150: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_283, type, sK151: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_284, type, sK152: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_285, type, sK153: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_286, type, sK154: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_287, type, sK155: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_288, type, sK156: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_289, type, sK157: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_290, type, sK158: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_291, type, sK159: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_292, type, sK160: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_293, type, sK161: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_294, type, sK162: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_295, type, sK163: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_296, type, sK164: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_297, type, sK165: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_298, type, sK166: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_299, type, sK167: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_300, type, sK168: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_301, type, sK169: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_302, type, sK170: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_303, type, sK171: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_304, type, sK172: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_305, type, sK173: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_306, type, sK174: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_307, type, sK175: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_308, type, sK176: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_309, type, sK177: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_310, type, sK178: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_311, type, sK179: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_312, type, sK180: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_313, type, sK181: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_314, type, sK182: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_315, type, sK183: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_316, type, sK184: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_317, type, sK185: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_318, type, sK186: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_319, type, sK187: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_320, type, sK188: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_321, type, sK189: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_322, type, sK190: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_323, type, sK191: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_324, type, sK192: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_325, type, sK193: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_326, type, sK194: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_327, type, sK195: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_328, type, sK196: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_329, type, sK197: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_330, type, sK198: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_331, type, sK199: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_332, type, sK200: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_333, type, sK201: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_334, type, sK202: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_335, type, sK203: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_336, type, sK204: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_337, type, sK205: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_338, type, sK206: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_339, type, sK207: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_340, type, sK208: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_341, type, sK209: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_342, type, sK210: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_343, type, sK211: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_344, type, sK212: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_345, type, sK213: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_346, type, sK214: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_347, type, sK215: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_348, type, sK216: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_349, type, sK217: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_350, type, sK218: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_351, type, sK219: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_352, type, sK220: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_353, type, sK221: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_354, type, sK222: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_355, type, sK223: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_356, type, sK224: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_357, type, sK225: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_358, type, sK226: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_359, type, sK227: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_360, type, sK228: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_361, type, sK229: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_362, type, sK230: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_363, type, sK231: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_364, type, sK232: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_365, type, sK233: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_366, type, sK234: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_367, type, sK235: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_368, type, sK236: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_369, type, sK237: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_370, type, sK238: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_371, type, sK239: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_372, type, sK240: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_373, type, sK241: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_374, type, sK242: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_375, type, sK243: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_376, type, sK244: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_377, type, sK245: ($i > $i)).
% 180.16/26.08 thf(func_def_378, type, sK246: ($i > $o)).
% 180.16/26.08 thf(func_def_380, type, sK248: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_381, type, sK249: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_382, type, sK250: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_383, type, sK251: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_384, type, sK252: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_385, type, sK253: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_386, type, sK254: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_387, type, sK255: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_388, type, sK256: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_389, type, sK257: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_390, type, sK258: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_391, type, sK259: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_392, type, sK260: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_393, type, sK261: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_394, type, sK262: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_395, type, sK263: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_396, type, sK264: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_397, type, sK265: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_398, type, sK266: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_399, type, sK267: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_400, type, sK268: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_401, type, sK269: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_402, type, sK270: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_403, type, sK271: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_404, type, sK272: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_405, type, sK273: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_408, type, sK276: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_409, type, sK277: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_410, type, sK278: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_411, type, sK279: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_412, type, sK280: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_413, type, sK281: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_414, type, sK282: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_415, type, sK283: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_416, type, sK284: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_417, type, sK285: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_418, type, sK286: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_419, type, sK287: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_420, type, sK288: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_421, type, sK289: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_422, type, sK290: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_423, type, sK291: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_424, type, sK292: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_425, type, sK293: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_426, type, sK294: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_427, type, sK295: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_428, type, sK296: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_429, type, sK297: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_430, type, sK298: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_431, type, sK299: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_432, type, sK300: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_433, type, sK301: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_434, type, sK302: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_435, type, sK303: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_436, type, sK304: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_437, type, sK305: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_438, type, sK306: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_439, type, sK307: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_441, type, sK309: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_442, type, sK310: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_443, type, sK311: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_444, type, sK312: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_445, type, sK313: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_446, type, sK314: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_447, type, sK315: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_448, type, sK316: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_449, type, sK317: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_450, type, sK318: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_453, type, sK321: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_454, type, sK322: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_455, type, sK323: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_456, type, sK324: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_457, type, sK325: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_458, type, sK326: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_459, type, sK327: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_460, type, sK328: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_462, type, sK330: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_465, type, sK333: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_469, type, sK337: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_480, type, sK348: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_495, type, sK363: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_505, type, sK373: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_518, type, sK386: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_525, type, sK393: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_526, type, sK394: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_527, type, sK395: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_528, type, sK396: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_529, type, sK397: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_530, type, sK398: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_531, type, sK399: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_532, type, sK400: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_533, type, sK401: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_536, type, sK404: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_546, type, sK414: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_557, type, sK425: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_567, type, sK435: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_587, type, sK455: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_588, type, sK456: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_595, type, sK463: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_596, type, sK464: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_597, type, sK465: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_598, type, sK466: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_599, type, sK467: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_600, type, sK468: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_601, type, sK469: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_602, type, sK470: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_603, type, sK471: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_605, type, sK473: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_606, type, sK474: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_607, type, sK475: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_608, type, sK476: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_609, type, sK477: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_610, type, sK478: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_611, type, sK479: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_612, type, sK480: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_613, type, sK481: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_615, type, sK483: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_619, type, sK487: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_629, type, sK497: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_643, type, sK511: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_645, type, sK513: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_657, type, sK525: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_672, type, sK540: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_673, type, sK541: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_680, type, sK548: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_681, type, sK549: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_682, type, sK550: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_683, type, sK551: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_684, type, sK552: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_685, type, sK553: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_686, type, sK554: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_687, type, sK555: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_688, type, sK556: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_693, type, sK561: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_704, type, sK572: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_720, type, sK588: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_730, type, sK598: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_749, type, sK617: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_750, type, sK618: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_772, type, sK640: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_773, type, sK641: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_774, type, sK642: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_775, type, sK643: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_776, type, sK644: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_777, type, sK645: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_778, type, sK646: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_779, type, sK647: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_780, type, sK648: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_781, type, sK649: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_782, type, sK650: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_783, type, sK651: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_784, type, sK652: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_785, type, sK653: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_786, type, sK654: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_787, type, sK655: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_788, type, sK656: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_789, type, sK657: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_790, type, sK658: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_791, type, sK659: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_792, type, sK660: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_793, type, sK661: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_794, type, sK662: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_795, type, sK663: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_796, type, sK664: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_797, type, sK665: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_798, type, sK666: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_799, type, sK667: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_800, type, sK668: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_801, type, sK669: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_802, type, sK670: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_803, type, sK671: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_806, type, sK674: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_807, type, sK675: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_808, type, sK676: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_809, type, sK677: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_810, type, sK678: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_811, type, sK679: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_812, type, sK680: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_813, type, sK681: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_814, type, sK682: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_817, type, sK685: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_829, type, sK697: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_846, type, sK714: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_856, type, sK724: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_871, type, sK739: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_872, type, sK740: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_880, type, sK748: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_881, type, sK749: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_882, type, sK750: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_883, type, sK751: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_884, type, sK752: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_885, type, sK753: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_886, type, sK754: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_887, type, sK755: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_888, type, sK756: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_893, type, sK761: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_903, type, sK771: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_918, type, sK786: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_930, type, sK798: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_945, type, sK813: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_946, type, sK814: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_962, type, sK830: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_963, type, sK831: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_964, type, sK832: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_965, type, sK833: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_966, type, sK834: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_967, type, sK835: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_968, type, sK836: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_971, type, sK839: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_983, type, sK851: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1001, type, sK869: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1012, type, sK880: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1032, type, sK900: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1033, type, sK901: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1034, type, sK902: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1035, type, sK903: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1036, type, sK904: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1037, type, sK905: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1038, type, sK906: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1039, type, sK907: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1040, type, sK908: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1044, type, sK912: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1054, type, sK922: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1072, type, sK940: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1082, type, sK950: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1097, type, sK965: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1098, type, sK966: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1110, type, sK978: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1127, type, sK995: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1128, type, sK996: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1129, type, sK997: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1130, type, sK998: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1131, type, sK999: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1132, type, sK1000: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1133, type, sK1001: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1134, type, sK1002: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1135, type, sK1003: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1136, type, sK1004: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1137, type, sK1005: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1138, type, sK1006: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1139, type, sK1007: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1140, type, sK1008: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1141, type, sK1009: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1142, type, sK1010: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1143, type, sK1011: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1144, type, sK1012: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1145, type, sK1013: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1146, type, sK1014: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1147, type, sK1015: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1148, type, sK1016: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1149, type, sK1017: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1150, type, sK1018: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1151, type, sK1019: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1154, type, sK1022: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1155, type, sK1023: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1156, type, sK1024: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1157, type, sK1025: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1158, type, sK1026: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1159, type, sK1027: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1160, type, sK1028: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1161, type, sK1029: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1162, type, sK1030: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1163, type, sK1031: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1164, type, sK1032: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1165, type, sK1033: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1166, type, sK1034: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1167, type, sK1035: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1168, type, sK1036: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1169, type, sK1037: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1170, type, sK1038: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1171, type, sK1039: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1172, type, sK1040: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1173, type, sK1041: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1174, type, sK1042: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1175, type, sK1043: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1176, type, sK1044: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1177, type, sK1045: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1178, type, sK1046: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1179, type, sK1047: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1180, type, sK1048: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1181, type, sK1049: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1182, type, sK1050: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1183, type, sK1051: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1184, type, sK1052: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1185, type, sK1053: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1186, type, sK1054: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1188, type, sK1056: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1189, type, sK1057: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1190, type, sK1058: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1191, type, sK1059: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1192, type, sK1060: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1193, type, sK1061: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1194, type, sK1062: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1195, type, sK1063: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1196, type, sK1064: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1197, type, sK1065: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1200, type, sK1068: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1201, type, sK1069: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1202, type, sK1070: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1203, type, sK1071: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1204, type, sK1072: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1205, type, sK1073: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1206, type, sK1074: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1207, type, sK1075: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1208, type, sK1076: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1210, type, sK1078: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1211, type, sK1079: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1212, type, sK1080: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1214, type, sK1082: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1225, type, sK1093: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1240, type, sK1108: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1251, type, sK1119: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1265, type, sK1133: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1266, type, sK1134: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1272, type, sK1140: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1273, type, sK1141: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1274, type, sK1142: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1275, type, sK1143: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1276, type, sK1144: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1277, type, sK1145: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1278, type, sK1146: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1279, type, sK1147: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1280, type, sK1148: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1284, type, sK1152: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1295, type, sK1163: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1307, type, sK1175: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1317, type, sK1185: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1336, type, sK1204: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1337, type, sK1205: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1350, type, sK1218: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1351, type, sK1219: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1352, type, sK1220: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1353, type, sK1221: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1354, type, sK1222: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1355, type, sK1223: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1356, type, sK1224: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1357, type, sK1225: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1358, type, sK1226: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1361, type, sK1229: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1362, type, sK1230: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1363, type, sK1231: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1364, type, sK1232: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1365, type, sK1233: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1366, type, sK1234: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1367, type, sK1235: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1368, type, sK1236: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1369, type, sK1237: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1371, type, sK1239: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1375, type, sK1243: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1385, type, sK1253: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1399, type, sK1267: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1400, type, sK1268: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1402, type, sK1270: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1414, type, sK1282: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1429, type, sK1297: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1436, type, sK1304: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1437, type, sK1305: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1438, type, sK1306: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1439, type, sK1307: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1440, type, sK1308: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1441, type, sK1309: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1442, type, sK1310: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1443, type, sK1311: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1444, type, sK1312: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1449, type, sK1317: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1459, type, sK1327: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1474, type, sK1342: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1486, type, sK1354: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1501, type, sK1369: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1502, type, sK1370: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1515, type, sK1383: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1516, type, sK1384: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1524, type, sK1392: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1525, type, sK1393: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1526, type, sK1394: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1527, type, sK1395: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1528, type, sK1396: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1529, type, sK1397: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1530, type, sK1398: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1531, type, sK1399: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1532, type, sK1400: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1533, type, sK1401: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1534, type, sK1402: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1535, type, sK1403: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1536, type, sK1404: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1537, type, sK1405: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1538, type, sK1406: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1539, type, sK1407: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1540, type, sK1408: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1541, type, sK1409: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1542, type, sK1410: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1543, type, sK1411: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1544, type, sK1412: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1545, type, sK1413: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1546, type, sK1414: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1547, type, sK1415: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1548, type, sK1416: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1549, type, sK1417: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1550, type, sK1418: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1551, type, sK1419: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1552, type, sK1420: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1553, type, sK1421: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1554, type, sK1422: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1555, type, sK1423: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1558, type, sK1426: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1559, type, sK1427: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1560, type, sK1428: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1561, type, sK1429: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1562, type, sK1430: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1563, type, sK1431: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1564, type, sK1432: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1565, type, sK1433: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1566, type, sK1434: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1569, type, sK1437: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1581, type, sK1449: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1600, type, sK1468: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1611, type, sK1479: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1625, type, sK1493: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1626, type, sK1494: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1634, type, sK1502: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1635, type, sK1503: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1636, type, sK1504: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1637, type, sK1505: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1638, type, sK1506: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1639, type, sK1507: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1640, type, sK1508: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1644, type, sK1512: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1655, type, sK1523: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1667, type, sK1535: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1678, type, sK1546: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1713, type, sK1581: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1714, type, sK1582: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1715, type, sK1583: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1716, type, sK1584: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1717, type, sK1585: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1718, type, sK1586: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1719, type, sK1587: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1720, type, sK1588: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1721, type, sK1589: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1725, type, sK1593: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1736, type, sK1604: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1752, type, sK1620: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1762, type, sK1630: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1775, type, sK1643: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1776, type, sK1644: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1782, type, sK1650: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1783, type, sK1651: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1784, type, sK1652: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1785, type, sK1653: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1786, type, sK1654: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1787, type, sK1655: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1788, type, sK1656: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1789, type, sK1657: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1790, type, sK1658: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1794, type, sK1662: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1805, type, sK1673: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1818, type, sK1686: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1829, type, sK1697: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1849, type, sK1717: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1850, type, sK1718: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1886, type, sK1754: ($i > $o)).
% 180.16/26.08 thf(func_def_1887, type, sK1755: ($i > $o)).
% 180.16/26.08 thf(func_def_1888, type, sK1756: ($i > $i)).
% 180.16/26.08 thf(func_def_1889, type, sK1757: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1890, type, sK1758: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1891, type, sK1759: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1892, type, sK1760: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1893, type, sK1761: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1894, type, sK1762: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1895, type, sK1763: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1896, type, sK1764: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1897, type, sK1765: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1898, type, sK1766: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1899, type, sK1767: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1900, type, sK1768: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1901, type, sK1769: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1902, type, sK1770: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1903, type, sK1771: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1904, type, sK1772: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1905, type, sK1773: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1906, type, sK1774: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1907, type, sK1775: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1908, type, sK1776: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1909, type, sK1777: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1910, type, sK1778: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1911, type, sK1779: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1912, type, sK1780: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1913, type, sK1781: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1914, type, sK1782: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1915, type, sK1783: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1916, type, sK1784: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1917, type, sK1785: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1918, type, sK1786: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1919, type, sK1787: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1920, type, sK1788: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1921, type, sK1789: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1922, type, sK1790: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1923, type, sK1791: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1924, type, sK1792: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1925, type, sK1793: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1926, type, sK1794: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1927, type, sK1795: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1928, type, sK1796: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1929, type, sK1797: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1930, type, sK1798: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1931, type, sK1799: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1932, type, sK1800: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1933, type, sK1801: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1934, type, sK1802: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1935, type, sK1803: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1936, type, sK1804: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1937, type, sK1805: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1938, type, sK1806: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1939, type, sK1807: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1940, type, sK1808: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1941, type, sK1809: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1942, type, sK1810: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1943, type, sK1811: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1944, type, sK1812: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1945, type, sK1813: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1946, type, sK1814: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1947, type, sK1815: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1948, type, sK1816: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1949, type, sK1817: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1950, type, sK1818: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1951, type, sK1819: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1952, type, sK1820: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1953, type, sK1821: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1954, type, sK1822: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1955, type, sK1823: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1956, type, sK1824: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1957, type, sK1825: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1958, type, sK1826: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1959, type, sK1827: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1960, type, sK1828: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1961, type, sK1829: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1962, type, sK1830: ($i > $i > $i)).
% 180.16/26.08 thf(func_def_1963, type, sK1831: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1964, type, sK1832: ($i > $i > $o)).
% 180.16/26.08 thf(func_def_1965, type, sK1833: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1966, type, sK1834: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1967, type, sK1835: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1968, type, sK1836: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1969, type, sK1837: ($i > $i > $i)).
% 180.16/26.09 thf(func_def_1970, type, sK1838: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1971, type, sK1839: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1972, type, sK1840: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1973, type, sK1841: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1974, type, sK1842: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1975, type, sK1843: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1976, type, sK1844: ($i > $i > $i)).
% 180.16/26.09 thf(func_def_1977, type, sK1845: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1978, type, sK1846: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1979, type, sK1847: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1980, type, sK1848: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1981, type, sK1849: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1982, type, sK1850: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1983, type, sK1851: ($i > $i > $i)).
% 180.16/26.09 thf(func_def_1984, type, sK1852: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1985, type, sK1853: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1986, type, sK1854: ($i > $i > $i)).
% 180.16/26.09 thf(func_def_1987, type, sK1855: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1988, type, sK1856: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1989, type, sK1857: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1990, type, sK1858: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1991, type, sK1859: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1992, type, sK1860: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1993, type, sK1861: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1994, type, sK1862: ($i > $i > $i)).
% 180.16/26.09 thf(func_def_1995, type, sK1863: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1996, type, sK1864: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1997, type, sK1865: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1998, type, sK1866: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_1999, type, sK1867: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_2000, type, sK1868: ($i > $i > $i)).
% 180.16/26.09 thf(func_def_2001, type, sK1869: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_2002, type, sK1870: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_2003, type, sK1871: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_2004, type, sK1872: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_2005, type, sK1873: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_2006, type, sK1874: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_2007, type, sK1875: ($i > $i > $i)).
% 180.16/26.09 thf(func_def_2008, type, sK1876: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_2009, type, sK1877: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_2010, type, sK1878: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_2011, type, sK1879: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_2012, type, sK1880: ($i > $i > $o)).
% 180.16/26.09 thf(func_def_2013, type, sK1881: ($i > $i > $i)).
% 180.16/26.09 thf(func_def_2014, type, sK1882: ($i > $i > $i)).
% 180.16/26.09 thf(func_def_2015, type, sK1883: ($o > $o > $o)).
% 180.16/26.09 thf(func_def_2016, type, sK1884: ($o > $o > $o)).
% 180.16/26.09 thf(f5,axiom,(
% 180.16/26.09 (c_not @ ? [X0 : $i] : (c_In @ X0 @ c_Empty))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)).
% 180.16/26.09 thf(f7,axiom,(
% 180.16/26.09 ! [X0 : $i,X1 : $i] : (c_iff @ (c_In @ X1 @ (c_Power @ X0)) @ (c_Subq @ X1 @ X0))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7)).
% 180.16/26.09 thf(f10,axiom,(
% 180.16/26.09 ! [X0 : ($i > $o)] : (! [X1 : $i] : (! [X2 : $i] : ((c_In @ X2 @ X1) => (X0 @ X2)) => (X0 @ X1)) => ! [X1 : $i] : (X0 @ X1))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10)).
% 180.16/26.09 thf(f13,axiom,(
% 180.16/26.09 ((^[X0 : $o] : (X0 => c_False)) = c_not)),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13)).
% 180.16/26.09 thf(f14,axiom,(
% 180.16/26.09 ((^[X0 : $o, X1 : $o] : (! [X2 : $o] : ((X0 => (X1 => X2)) => X2))) = c_and)),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14)).
% 180.16/26.09 thf(f15,axiom,(
% 180.16/26.09 ((^[X0 : $o, X1 : $o] : (! [X2 : $o] : ((X0 => X2) => ((X1 => X2) => X2)))) = c_or)),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15)).
% 180.16/26.09 thf(f16,axiom,(
% 180.16/26.09 ((^[X0 : $o, X1 : $o] : ((c_and @ X0 => X1 @ X1 => X0))) = c_iff)),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16)).
% 180.16/26.09 thf(f17,axiom,(
% 180.16/26.09 (c_Subq = (^[X0 : $i, X1 : $i] : (! [X2 : $i] : ((c_In @ X2 @ X0) => (c_In @ X2 @ X1)))))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17)).
% 180.16/26.09 thf(f18,axiom,(
% 180.16/26.09 ((^[X0 : $i] : (! [X1 : $i] : ((c_In @ X1 @ X0) => (c_Subq @ X1 @ X0)))) = c_TransSet)),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18)).
% 180.16/26.09 thf(f19,axiom,(
% 180.16/26.09 ((^[X0 : $i] : (? [X1 : $i] : (c_and @ (c_In @ X1 @ X0) @ (c_not @ (c_Subq @ X0 @ (c_Power @ X1)))))) = c_atleast2)),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19)).
% 180.16/26.09 thf(f20,axiom,(
% 180.16/26.09 ((^[X0 : $i] : (? [X1 : $i] : (c_and @ (c_Subq @ X1 @ X0) @ (c_and @ (c_not @ (c_Subq @ X0 @ X1)) @ (c_atleast2 @ X1))))) = c_atleast3)),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20)).
% 180.16/26.09 thf(f21,axiom,(
% 180.16/26.09 ((^[X0 : $i] : (? [X1 : $i] : (c_and @ (c_Subq @ X1 @ X0) @ (c_and @ (c_not @ (c_Subq @ X0 @ X1)) @ (c_atleast3 @ X1))))) = c_atleast4)),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21)).
% 180.16/26.09 thf(f22,axiom,(
% 180.16/26.09 ((^[X0 : $i] : (? [X1 : $i] : (c_and @ (c_Subq @ X1 @ X0) @ (c_and @ (c_not @ (c_Subq @ X0 @ X1)) @ (c_atleast4 @ X1))))) = c_atleast5)),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22)).
% 180.16/26.09 thf(f23,axiom,(
% 180.16/26.09 (c_atleast6 = (^[X0 : $i] : (? [X1 : $i] : (c_and @ (c_Subq @ X1 @ X0) @ (c_and @ (c_not @ (c_Subq @ X0 @ X1)) @ (c_atleast5 @ X1))))))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23)).
% 180.16/26.09 thf(f27,axiom,(
% 180.16/26.09 ((^[X0 : $i] : ((c_and @ (c_atleast5 @ X0) @ (c_not @ (c_atleast6 @ X0))))) = c_exactly5)),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27)).
% 180.16/26.09 thf(f42,axiom,(
% 180.16/26.09 (c_If_i = (^[X0 : $o, X1 : $i, X2 : $i] : ((c_Eps_i @ (^[X3 : $i] : ((c_or @ (c_and @ X0 @ (X3 = X1)) @ (c_and @ (c_not @ X0) @ (X3 = X2)))))))))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42)).
% 180.16/26.09 thf(f43,axiom,(
% 180.16/26.09 (c_exactly1of2 = (^[X0 : $o, X1 : $o] : ((c_or @ (c_and @ X0 @ (c_not @ X1)) @ (c_and @ (c_not @ X0) @ X1)))))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43)).
% 180.16/26.09 thf(f45,axiom,(
% 180.16/26.09 (c_nIn = (^[X0 : $i, X1 : $i] : ((c_not @ (c_In @ X0 @ X1)))))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45)).
% 180.16/26.09 thf(f47,axiom,(
% 180.16/26.09 (c_UPair = (^[X0 : $i, X1 : $i] : ((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[X2 : $i] : ((c_If_i @ (c_In @ c_Empty @ X2) @ X0 @ X1)))))))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47)).
% 180.16/26.09 thf(f48,axiom,(
% 180.16/26.09 ((^[X0 : $i] : ((c_UPair @ X0 @ X0))) = c_Sing)),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48)).
% 180.16/26.09 thf(f49,axiom,(
% 180.16/26.09 (c_binunion = (^[X0 : $i, X1 : $i] : ((c_Union @ (c_UPair @ X0 @ X1)))))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49)).
% 180.16/26.09 thf(f50,axiom,(
% 180.16/26.09 ((^[X0 : $i, X1 : $i] : ((c_binunion @ X0 @ (c_Sing @ X1)))) = c_SetAdjoin)),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50)).
% 180.16/26.09 thf(f51,axiom,(
% 180.16/26.09 (c_famunion = (^[X0 : $i, X1 : ($i > $i)] : ((c_Union @ (c_Repl @ X0 @ (^[X2 : $i] : ((X1 @ X2))))))))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51)).
% 180.16/26.09 thf(f52,axiom,(
% 180.16/26.09 ((^[X0 : $i, X1 : ($i > $o)] : ((c_If_i @ ? [X2 : $i] : (c_and @ (c_In @ X2 @ X0) @ (X1 @ X2)) @ (c_Repl @ X0 @ (^[X2 : $i] : (((^[X3 : $i] : ((c_If_i @ (X1 @ X3) @ X3 @ (c_Eps_i @ (^[X4 : $i] : ((c_and @ (c_In @ X4 @ X0) @ (X1 @ X4)))))))) @ X2)))) @ c_Empty))) = c_Sep)),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52)).
% 180.16/26.09 thf(f53,axiom,(
% 180.16/26.09 (c_ReplSep = (^[X0 : $i, X1 : ($i > $o), X2 : ($i > $i)] : ((c_Repl @ (c_Sep @ X0 @ (^[X3 : $i] : ((X1 @ X3)))) @ (^[X3 : $i] : ((X2 @ X3)))))))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53)).
% 180.16/26.09 thf(f55,axiom,(
% 180.16/26.09 ((^[X0 : $i, X1 : $i] : ((c_Sep @ X0 @ (^[X2 : $i] : ((c_nIn @ X2 @ X1)))))) = c_setminus)),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55)).
% 180.16/26.09 thf(f60,axiom,(
% 180.16/26.09 ((^[X0 : ($i > ($i > $i) > $i), X1 : $i, X2 : $i] : (! [X3 : ($i > $i > $o)] : (! [X5 : ($i > $i),X4 : $i] : (! [X6 : $i] : ((c_In @ X6 @ X4) => (X3 @ X6 @ (X5 @ X6))) => (X3 @ X4 @ (X0 @ X4 @ X5))) => (X3 @ X1 @ X2)))) = c_In_rec_poly_G_i)),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60)).
% 180.16/26.09 thf(f61,axiom,(
% 180.16/26.09 (c_In_rec_poly_i = (^[X0 : ($i > ($i > $i) > $i), X1 : $i] : ((c_Eps_i @ (^[X2 : $i] : ((c_In_rec_poly_G_i @ X0 @ X1 @ X2)))))))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61)).
% 180.16/26.09 thf(f62,axiom,(
% 180.16/26.09 (c_ordsucc = (^[X0 : $i] : ((c_binunion @ X0 @ (c_Sing @ X0)))))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62)).
% 180.16/26.09 thf(f67,axiom,(
% 180.16/26.09 (c_ordinal = (^[X0 : $i] : ((c_and @ (c_TransSet @ X0) @ ! [X1 : $i] : ((c_In @ X1 @ X0) => (c_TransSet @ X1))))))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67)).
% 180.16/26.09 thf(f69,axiom,(
% 180.16/26.09 (c_Inj1 = ((c_In_rec_poly_i @ (^[X0 : $i, X1 : ($i > $i)] : ((c_binunion @ (c_Sing @ c_Empty) @ (c_Repl @ X0 @ (^[X2 : $i] : ((X1 @ X2))))))))))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69)).
% 180.16/26.09 thf(f70,axiom,(
% 180.16/26.09 (c_Inj0 = (^[X0 : $i] : ((c_Repl @ X0 @ (^[X1 : $i] : ((c_Inj1 @ X1)))))))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70)).
% 180.16/26.09 thf(f71,axiom,(
% 180.16/26.09 (c_Unj = ((c_In_rec_poly_i @ (^[X0 : $i, X1 : ($i > $i)] : ((c_Repl @ (c_setminus @ X0 @ (c_Sing @ c_Empty)) @ (^[X2 : $i] : ((X1 @ X2)))))))))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71)).
% 180.16/26.09 thf(f73,axiom,(
% 180.16/26.09 ((^[X0 : $i, X1 : $i] : ((c_binunion @ (c_Repl @ X0 @ (^[X2 : $i] : ((c_Inj0 @ X2)))) @ (c_Repl @ X1 @ (^[X2 : $i] : ((c_Inj1 @ X2))))))) = c_setsum)),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73)).
% 180.16/26.09 thf(f75,axiom,(
% 180.16/26.09 ((^[X0 : $i] : ((c_ReplSep @ X0 @ (^[X1 : $i] : (? [X2 : $i] : (((c_Inj1 @ X2)) = X1))) @ (^[X1 : $i] : ((c_Unj @ X1)))))) = c_proj1)),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75)).
% 180.16/26.09 thf(f76,axiom,(
% 180.16/26.09 (c_binrep = (^[X0 : $i, X1 : $i] : ((c_setsum @ X0 @ (c_Power @ X1)))))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76)).
% 180.16/26.09 thf(f77,axiom,(
% 180.16/26.09 (c_lam = (^[X0 : $i, X1 : ($i > $i)] : ((c_famunion @ X0 @ (^[X2 : $i] : ((c_Repl @ (X1 @ X2) @ (^[X3 : $i] : ((c_setsum @ X2 @ X3))))))))))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77)).
% 180.16/26.09 thf(f79,axiom,(
% 180.16/26.09 ((^[X0 : $i, X1 : $i] : ((c_ReplSep @ X0 @ (^[X2 : $i] : (? [X3 : $i] : (X2 = ((c_setsum @ X1 @ X3))))) @ (^[X2 : $i] : ((c_proj1 @ X2)))))) = c_ap)),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79)).
% 180.16/26.09 thf(f82,axiom,(
% 180.16/26.09 (c_Pi = (^[X0 : $i, X1 : ($i > $i)] : ((c_Sep @ (c_Power @ (c_lam @ X0 @ (^[X2 : $i] : ((c_Union @ (X1 @ X2)))))) @ (^[X2 : $i] : (! [X3 : $i] : ((c_In @ X3 @ X0) => (c_In @ (c_ap @ X2 @ X3) @ (X1 @ X3)))))))))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82)).
% 180.16/26.09 thf(f83,axiom,(
% 180.16/26.09 ((^[X0 : $i, X1 : $i] : ((c_Pi @ X1 @ (^[X2 : $i] : (X0))))) = c_setexp)),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83)).
% 180.16/26.09 thf(f93,axiom,(
% 180.16/26.09 (c_SNoElts_ = (^[X0 : $i] : ((c_binunion @ X0 @ (c_Repl @ X0 @ (^[X1 : $i] : (((^[X2 : $i] : ((c_SetAdjoin @ X2 @ (c_Sing @ (c_ordsucc @ c_Empty))))) @ X1))))))))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93)).
% 180.16/26.09 thf(f94,axiom,(
% 180.16/26.09 ((^[X0 : $i, X1 : $i] : ((c_and @ (c_Subq @ X1 @ (c_SNoElts_ @ X0)) @ ! [X2 : $i] : ((c_In @ X2 @ X0) => (c_exactly1of2 @ (c_In @ ((^[X3 : $i] : ((c_SetAdjoin @ X3 @ (c_Sing @ (c_ordsucc @ c_Empty))))) @ X2) @ X1) @ (c_In @ X2 @ X1)))))) = c_SNo_)),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94)).
% 180.16/26.09 thf(f97,axiom,(
% 180.16/26.09 (c_SNoLev = (^[X0 : $i] : ((c_Eps_i @ (^[X1 : $i] : ((c_and @ (c_ordinal @ X1) @ (c_SNo_ @ X1 @ X0))))))))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax97)).
% 180.16/26.09 thf(f109,conjecture,(
% 180.16/26.09 (c_not @ ! [X1 : ($i > $i),X0 : ($i > $o),X2 : $i] : ((c_In @ X2 @ (X1 @ (X1 @ (X1 @ (c_setexp @ (c_famunion @ (c_SNoLev @ c_Empty) @ (^[X3 : $i] : (X3))) @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty))))))) => ! [X3 : $i] : ((c_Subq @ X3 @ X2) => (? [X4 : $i] : (c_and @ (c_Subq @ X4 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_and @ (c_not @ (X0 @ X4)) @ (c_not @ (c_exactly5 @ c_Empty)))) => (c_not @ (X0 @ X3))))))),
% 180.16/26.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 180.16/26.09 thf(f110,negated_conjecture,(
% 180.16/26.09 ~(c_not @ ! [X1 : ($i > $i),X0 : ($i > $o),X2 : $i] : ((c_In @ X2 @ (X1 @ (X1 @ (X1 @ (c_setexp @ (c_famunion @ (c_SNoLev @ c_Empty) @ (^[X3 : $i] : (X3))) @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty))))))) => ! [X3 : $i] : ((c_Subq @ X3 @ X2) => (? [X4 : $i] : (c_and @ (c_Subq @ X4 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_and @ (c_not @ (X0 @ X4)) @ (c_not @ (c_exactly5 @ c_Empty)))) => (c_not @ (X0 @ X3))))))),
% 180.16/26.09 inference(negated_conjecture,[status(cth)],[f109])).
% 180.16/26.09 thf(f113,plain,(
% 180.16/26.09 (c_Unj = ((c_In_rec_poly_i @ (^[X0 : $i, X1 : ($i > $i)] : ((c_Repl @ (c_setminus @ X0 @ (c_Sing @ c_Empty)) @ (^[X2 : $i] : ((X1 @ X2)))))))))),
% 180.16/26.09 inference(rectify,[],[f71])).
% 180.16/26.09 thf(f114,plain,(
% 180.16/26.09 (c_Unj = ((c_In_rec_poly_i @ (^[Y0 : $i]: ((^[Y1 : $i > $i]: (c_Repl @ (c_setminus @ Y0 @ (c_Sing @ c_Empty)) @ (^[Y2 : $i]: (Y1 @ Y2)))))))))),
% 180.16/26.09 inference(fool_elimination,[],[f113])).
% 180.16/26.09 thf(f123,plain,(
% 180.16/26.09 ((^[X0 : $i, X1 : $i] : ((c_Pi @ X1 @ (^[X2 : $i] : (X0))))) = c_setexp)),
% 180.16/26.09 inference(rectify,[],[f83])).
% 180.16/26.09 thf(f124,plain,(
% 180.16/26.09 (c_setexp = (^[Y0 : $i]: ((^[Y1 : $i]: (c_Pi @ Y1 @ (^[Y2 : $i]: (Y0)))))))),
% 180.16/26.09 inference(fool_elimination,[],[f123])).
% 180.16/26.09 thf(f125,plain,(
% 180.16/26.09 ((^[X0 : $i] : (? [X1 : $i] : (c_and @ (c_Subq @ X1 @ X0) @ (c_and @ (c_not @ (c_Subq @ X0 @ X1)) @ (c_atleast2 @ X1))))) = c_atleast3)),
% 180.16/26.09 inference(rectify,[],[f20])).
% 180.16/26.09 thf(f126,plain,(
% 180.16/26.09 (c_atleast3 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (c_and @ (c_Subq @ Y1 @ Y0) @ (c_and @ (c_not @ (c_Subq @ Y0 @ Y1)) @ (c_atleast2 @ Y1)))))))),
% 180.16/26.09 inference(fool_elimination,[],[f125])).
% 180.16/26.09 thf(f135,plain,(
% 180.16/26.09 (c_UPair = (^[X0 : $i, X1 : $i] : ((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[X2 : $i] : ((c_If_i @ (c_In @ c_Empty @ X2) @ X0 @ X1)))))))),
% 180.16/26.09 inference(rectify,[],[f47])).
% 180.16/26.09 thf(f136,plain,(
% 180.16/26.09 (c_UPair = (^[Y0 : $i]: ((^[Y1 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y2 : $i]: (c_If_i @ (c_In @ c_Empty @ Y2) @ Y0 @ Y1)))))))),
% 180.16/26.09 inference(fool_elimination,[],[f135])).
% 180.16/26.09 thf(f141,plain,(
% 180.16/26.09 (c_In_rec_poly_i = (^[X0 : ($i > ($i > $i) > $i), X1 : $i] : ((c_Eps_i @ (^[X2 : $i] : ((c_In_rec_poly_G_i @ X0 @ X1 @ X2)))))))),
% 180.16/26.09 inference(rectify,[],[f61])).
% 180.16/26.09 thf(f142,plain,(
% 180.16/26.09 (c_In_rec_poly_i = (^[Y0 : $i > ($i > $i) > $i]: ((^[Y1 : $i]: (c_Eps_i @ (^[Y2 : $i]: (c_In_rec_poly_G_i @ Y0 @ Y1 @ Y2)))))))),
% 180.16/26.09 inference(fool_elimination,[],[f141])).
% 180.16/26.09 thf(f148,plain,(
% 180.16/26.09 ! [X0 : ($i > $o)] : (! [X1 : $i] : (! [X2 : $i] : ((c_In @ X2 @ X1) => (X0 @ X2)) => (X0 @ X1)) => ! [X3 : $i] : (X0 @ X3))),
% 180.16/26.09 inference(rectify,[],[f10])).
% 180.16/26.09 thf(f149,plain,(
% 180.16/26.09 ! [X0 : ($i > $o)] : (! [X1 : $i] : (! [X2 : $i] : ((((c_In @ X2 @ X1)) = $true) => (((X0 @ X2)) = $true)) => (((X0 @ X1)) = $true)) => ! [X3 : $i] : (((X0 @ X3)) = $true))),
% 180.16/26.09 inference(fool_elimination,[],[f148])).
% 180.16/26.09 thf(f150,plain,(
% 180.16/26.09 (c_Pi = (^[X0 : $i, X1 : ($i > $i)] : ((c_Sep @ (c_Power @ (c_lam @ X0 @ (^[X2 : $i] : ((c_Union @ (X1 @ X2)))))) @ (^[X3 : $i] : (! [X4 : $i] : ((c_In @ X4 @ X0) => (c_In @ (c_ap @ X3 @ X4) @ (X1 @ X4)))))))))),
% 180.16/26.09 inference(rectify,[],[f82])).
% 180.16/26.09 thf(f151,plain,(
% 180.16/26.09 (c_Pi = (^[Y0 : $i]: ((^[Y1 : $i > $i]: (c_Sep @ (c_Power @ (c_lam @ Y0 @ (^[Y2 : $i]: (c_Union @ (Y1 @ Y2))))) @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y0) => (c_In @ (c_ap @ Y2 @ Y3) @ (Y1 @ Y3)))))))))))),
% 180.16/26.09 inference(fool_elimination,[],[f150])).
% 180.16/26.09 thf(f162,plain,(
% 180.16/26.09 (c_SetAdjoin = (^[Y0 : $i]: ((^[Y1 : $i]: (c_binunion @ Y0 @ (c_Sing @ Y1))))))),
% 180.16/26.09 inference(fool_elimination,[],[f50])).
% 180.16/26.09 thf(f163,plain,(
% 180.16/26.09 (c_famunion = (^[X0 : $i, X1 : ($i > $i)] : ((c_Union @ (c_Repl @ X0 @ (^[X2 : $i] : ((X1 @ X2))))))))),
% 180.16/26.09 inference(rectify,[],[f51])).
% 180.16/26.09 thf(f164,plain,(
% 180.16/26.09 (c_famunion = (^[Y0 : $i]: ((^[Y1 : $i > $i]: (c_Union @ (c_Repl @ Y0 @ (^[Y2 : $i]: (Y1 @ Y2))))))))),
% 180.16/26.09 inference(fool_elimination,[],[f163])).
% 180.16/26.09 thf(f167,plain,(
% 180.16/26.09 (c_Inj0 = (^[X0 : $i] : ((c_Repl @ X0 @ (^[X1 : $i] : ((c_Inj1 @ X1)))))))),
% 180.16/26.09 inference(rectify,[],[f70])).
% 180.16/26.09 thf(f168,plain,(
% 180.16/26.09 (c_Inj0 = (^[Y0 : $i]: (c_Repl @ Y0 @ (^[Y1 : $i]: (c_Inj1 @ Y1)))))),
% 180.16/26.09 inference(fool_elimination,[],[f167])).
% 180.16/26.09 thf(f175,plain,(
% 180.16/26.09 (c_If_i = (^[X0 : $o, X1 : $i, X2 : $i] : ((c_Eps_i @ (^[X3 : $i] : ((c_or @ (c_and @ X0 @ (X3 = X1)) @ (c_and @ (c_not @ X0) @ (X3 = X2)))))))))),
% 180.16/26.09 inference(rectify,[],[f42])).
% 180.16/26.09 thf(f176,plain,(
% 180.16/26.09 (c_If_i = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Eps_i @ (^[Y3 : $i]: (c_or @ (c_and @ Y0 @ (Y1 = Y3)) @ (c_and @ (c_not @ Y0) @ (Y2 = Y3)))))))))))),
% 180.16/26.09 inference(fool_elimination,[],[f175])).
% 180.16/26.09 thf(f177,plain,(
% 180.16/26.09 ((^[X0 : $i] : (? [X1 : $i] : (c_and @ (c_Subq @ X1 @ X0) @ (c_and @ (c_not @ (c_Subq @ X0 @ X1)) @ (c_atleast3 @ X1))))) = c_atleast4)),
% 180.16/26.09 inference(rectify,[],[f21])).
% 180.16/26.09 thf(f178,plain,(
% 180.16/26.09 (c_atleast4 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (c_and @ (c_Subq @ Y1 @ Y0) @ (c_and @ (c_not @ (c_Subq @ Y0 @ Y1)) @ (c_atleast3 @ Y1)))))))),
% 180.16/26.09 inference(fool_elimination,[],[f177])).
% 180.16/26.09 thf(f179,plain,(
% 180.16/26.09 ((^[X0 : $o, X1 : $o] : (! [X2 : $o] : ((X0 => (X1 => X2)) => X2))) = c_and)),
% 180.16/26.09 inference(rectify,[],[f14])).
% 180.16/26.09 thf(f180,plain,(
% 180.16/26.09 (c_and = (^[Y0 : $o]: ((^[Y1 : $o]: (!! @ $o @ (^[Y2 : $o]: ((Y0 => (Y1 => Y2)) => Y2)))))))),
% 180.16/26.09 inference(fool_elimination,[],[f179])).
% 180.16/26.09 thf(f187,plain,(
% 180.16/26.09 (c_Inj1 = ((c_In_rec_poly_i @ (^[X0 : $i, X1 : ($i > $i)] : ((c_binunion @ (c_Sing @ c_Empty) @ (c_Repl @ X0 @ (^[X2 : $i] : ((X1 @ X2))))))))))),
% 180.16/26.09 inference(rectify,[],[f69])).
% 180.16/26.09 thf(f188,plain,(
% 180.16/26.09 (c_Inj1 = ((c_In_rec_poly_i @ (^[Y0 : $i]: ((^[Y1 : $i > $i]: (c_binunion @ (c_Sing @ c_Empty) @ (c_Repl @ Y0 @ (^[Y2 : $i]: (Y1 @ Y2))))))))))),
% 180.16/26.09 inference(fool_elimination,[],[f187])).
% 180.16/26.09 thf(f189,plain,(
% 180.16/26.09 (c_ordinal = (^[X0 : $i] : ((c_and @ (c_TransSet @ X0) @ ! [X1 : $i] : ((c_In @ X1 @ X0) => (c_TransSet @ X1))))))),
% 180.16/26.09 inference(rectify,[],[f67])).
% 180.16/26.09 thf(f190,plain,(
% 180.16/26.09 (c_ordinal = (^[Y0 : $i]: (c_and @ (c_TransSet @ Y0) @ (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => (c_TransSet @ Y1)))))))),
% 180.16/26.09 inference(fool_elimination,[],[f189])).
% 180.16/26.09 thf(f191,plain,(
% 180.16/26.09 ((^[X0 : $i, X1 : $i] : ((c_Sep @ X0 @ (^[X2 : $i] : ((c_nIn @ X2 @ X1)))))) = c_setminus)),
% 180.16/26.09 inference(rectify,[],[f55])).
% 180.16/26.09 thf(f192,plain,(
% 180.16/26.09 (c_setminus = (^[Y0 : $i]: ((^[Y1 : $i]: (c_Sep @ Y0 @ (^[Y2 : $i]: (c_nIn @ Y2 @ Y1)))))))),
% 180.16/26.09 inference(fool_elimination,[],[f191])).
% 180.16/26.09 thf(f197,plain,(
% 180.16/26.09 ~(c_not @ ! [X0 : ($i > $i),X1 : ($i > $o),X2 : $i] : ((c_In @ X2 @ (X0 @ (X0 @ (X0 @ (c_setexp @ (c_famunion @ (c_SNoLev @ c_Empty) @ (^[X3 : $i] : (X3))) @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty))))))) => ! [X4 : $i] : ((c_Subq @ X4 @ X2) => (? [X5 : $i] : (c_and @ (c_Subq @ X5 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_and @ (c_not @ (X1 @ X5)) @ (c_not @ (c_exactly5 @ c_Empty)))) => (c_not @ (X1 @ X4))))))),
% 180.16/26.09 inference(rectify,[],[f110])).
% 180.16/26.09 thf(f198,plain,(
% 180.16/26.09 ~ (((c_not @ (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i) @ (^[Y2 : $i > $i]: ((c_In @ Y0 @ (Y2 @ (Y2 @ (Y2 @ (c_setexp @ (c_famunion @ (c_SNoLev @ c_Empty) @ (^[Y3 : $i]: (Y3))) @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty))))))) => (!! @ $i @ (^[Y3 : $i]: ((c_Subq @ Y3 @ Y0) => ((?? @ $i @ (^[Y4 : $i]: (c_and @ (c_Subq @ Y4 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_and @ (c_not @ (Y1 @ Y4)) @ (c_not @ (c_exactly5 @ c_Empty)))))) => (c_not @ (Y1 @ Y3))))))))))))))) = $true)),
% 180.16/26.09 inference(fool_elimination,[],[f197])).
% 180.16/26.09 thf(f205,plain,(
% 180.16/26.09 ((^[X0 : ($i > ($i > $i) > $i), X1 : $i, X2 : $i] : (! [X3 : ($i > $i > $o)] : (! [X4 : ($i > $i),X5 : $i] : (! [X6 : $i] : ((c_In @ X6 @ X5) => (X3 @ X6 @ (X4 @ X6))) => (X3 @ X5 @ (X0 @ X5 @ X4))) => (X3 @ X1 @ X2)))) = c_In_rec_poly_G_i)),
% 180.16/26.09 inference(rectify,[],[f60])).
% 180.16/26.09 thf(f206,plain,(
% 180.16/26.09 (c_In_rec_poly_G_i = (^[Y0 : $i > ($i > $i) > $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: ((!! @ $i @ (^[Y4 : $i]: (!! @ ($i > $i) @ (^[Y5 : $i > $i]: ((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (Y3 @ Y6 @ (Y5 @ Y6))))) => (Y3 @ Y4 @ (Y0 @ Y4 @ Y5))))))) => (Y3 @ Y1 @ Y2))))))))))),
% 180.16/26.09 inference(fool_elimination,[],[f205])).
% 180.16/26.09 thf(f207,plain,(
% 180.16/26.09 ((^[X0 : $i, X1 : ($i > $o)] : ((c_If_i @ ? [X2 : $i] : (c_and @ (c_In @ X2 @ X0) @ (X1 @ X2)) @ (c_Repl @ X0 @ (^[X3 : $i] : (((^[X4 : $i] : ((c_If_i @ (X1 @ X4) @ X4 @ (c_Eps_i @ (^[X5 : $i] : ((c_and @ (c_In @ X5 @ X0) @ (X1 @ X5)))))))) @ X3)))) @ c_Empty))) = c_Sep)),
% 180.16/26.09 inference(rectify,[],[f52])).
% 180.16/26.09 thf(f208,plain,(
% 180.16/26.09 (c_Sep = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (c_If_i @ (?? @ $i @ (^[Y2 : $i]: (c_and @ (c_In @ Y2 @ Y0) @ (Y1 @ Y2)))) @ (c_Repl @ Y0 @ (^[Y2 : $i]: ((^[Y3 : $i]: (c_If_i @ (Y1 @ Y3) @ Y3 @ (c_Eps_i @ (^[Y4 : $i]: (c_and @ (c_In @ Y4 @ Y0) @ (Y1 @ Y4)))))) @ Y2))) @ c_Empty)))))),
% 180.16/26.09 inference(fool_elimination,[],[f207])).
% 180.16/26.09 thf(f209,plain,(
% 180.16/26.09 ((^[X0 : $i] : (? [X1 : $i] : (c_and @ (c_In @ X1 @ X0) @ (c_not @ (c_Subq @ X0 @ (c_Power @ X1)))))) = c_atleast2)),
% 180.16/26.09 inference(rectify,[],[f19])).
% 180.16/26.09 thf(f210,plain,(
% 180.16/26.09 (c_atleast2 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (c_and @ (c_In @ Y1 @ Y0) @ (c_not @ (c_Subq @ Y0 @ (c_Power @ Y1))))))))),
% 180.16/26.09 inference(fool_elimination,[],[f209])).
% 180.16/26.09 thf(f211,plain,(
% 180.16/26.09 ((^[X0 : $i, X1 : $i] : ((c_binunion @ (c_Repl @ X0 @ (^[X2 : $i] : ((c_Inj0 @ X2)))) @ (c_Repl @ X1 @ (^[X3 : $i] : ((c_Inj1 @ X3))))))) = c_setsum)),
% 180.16/26.09 inference(rectify,[],[f73])).
% 180.16/26.09 thf(f212,plain,(
% 180.16/26.09 (c_setsum = (^[Y0 : $i]: ((^[Y1 : $i]: (c_binunion @ (c_Repl @ Y0 @ (^[Y2 : $i]: (c_Inj0 @ Y2))) @ (c_Repl @ Y1 @ (^[Y2 : $i]: (c_Inj1 @ Y2))))))))),
% 180.16/26.09 inference(fool_elimination,[],[f211])).
% 180.16/26.09 thf(f218,plain,(
% 180.16/26.09 (c_binrep = (^[Y0 : $i]: ((^[Y1 : $i]: (c_setsum @ Y0 @ (c_Power @ Y1))))))),
% 180.16/26.09 inference(fool_elimination,[],[f76])).
% 180.16/26.09 thf(f219,plain,(
% 180.16/26.09 (c_lam = (^[X0 : $i, X1 : ($i > $i)] : ((c_famunion @ X0 @ (^[X2 : $i] : ((c_Repl @ (X1 @ X2) @ (^[X3 : $i] : ((c_setsum @ X2 @ X3))))))))))),
% 180.16/26.09 inference(rectify,[],[f77])).
% 180.16/26.09 thf(f220,plain,(
% 180.16/26.09 (c_lam = (^[Y0 : $i]: ((^[Y1 : $i > $i]: (c_famunion @ Y0 @ (^[Y2 : $i]: (c_Repl @ (Y1 @ Y2) @ (^[Y3 : $i]: (c_setsum @ Y2 @ Y3)))))))))),
% 180.16/26.09 inference(fool_elimination,[],[f219])).
% 180.16/26.09 thf(f223,plain,(
% 180.16/26.09 (c_exactly1of2 = (^[Y0 : $o]: ((^[Y1 : $o]: (c_or @ (c_and @ Y0 @ (c_not @ Y1)) @ (c_and @ (c_not @ Y0) @ Y1))))))),
% 180.16/26.09 inference(fool_elimination,[],[f43])).
% 180.16/26.09 thf(f224,plain,(
% 180.16/26.09 (c_not @ ? [X0 : $i] : (c_In @ X0 @ c_Empty))),
% 180.16/26.09 inference(rectify,[],[f5])).
% 180.16/26.09 thf(f225,plain,(
% 180.16/26.09 ($true = ((c_not @ (?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty))))))),
% 180.16/26.09 inference(fool_elimination,[],[f224])).
% 180.16/26.09 thf(f238,plain,(
% 180.16/26.09 (c_atleast6 = (^[X0 : $i] : (? [X1 : $i] : (c_and @ (c_Subq @ X1 @ X0) @ (c_and @ (c_not @ (c_Subq @ X0 @ X1)) @ (c_atleast5 @ X1))))))),
% 180.16/26.09 inference(rectify,[],[f23])).
% 180.16/26.09 thf(f239,plain,(
% 180.16/26.09 (c_atleast6 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (c_and @ (c_Subq @ Y1 @ Y0) @ (c_and @ (c_not @ (c_Subq @ Y0 @ Y1)) @ (c_atleast5 @ Y1)))))))),
% 180.16/26.09 inference(fool_elimination,[],[f238])).
% 180.16/26.09 thf(f241,plain,(
% 180.16/26.09 ((^[X0 : $i, X1 : $i] : ((c_ReplSep @ X0 @ (^[X2 : $i] : (? [X3 : $i] : (X2 = ((c_setsum @ X1 @ X3))))) @ (^[X4 : $i] : ((c_proj1 @ X4)))))) = c_ap)),
% 180.16/26.09 inference(rectify,[],[f79])).
% 180.16/26.09 thf(f242,plain,(
% 180.16/26.09 (c_ap = (^[Y0 : $i]: ((^[Y1 : $i]: (c_ReplSep @ Y0 @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((c_setsum @ Y1 @ Y3) = Y2)))) @ (^[Y2 : $i]: (c_proj1 @ Y2)))))))),
% 180.16/26.09 inference(fool_elimination,[],[f241])).
% 180.16/26.09 thf(f245,plain,(
% 180.16/26.09 ((^[X0 : $i] : (! [X1 : $i] : ((c_In @ X1 @ X0) => (c_Subq @ X1 @ X0)))) = c_TransSet)),
% 180.16/26.09 inference(rectify,[],[f18])).
% 180.16/26.09 thf(f246,plain,(
% 180.16/26.09 (c_TransSet = (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => (c_Subq @ Y1 @ Y0))))))),
% 180.16/26.09 inference(fool_elimination,[],[f245])).
% 180.16/26.09 thf(f247,plain,(
% 180.16/26.09 ((^[X0 : $i] : (? [X1 : $i] : (c_and @ (c_Subq @ X1 @ X0) @ (c_and @ (c_not @ (c_Subq @ X0 @ X1)) @ (c_atleast4 @ X1))))) = c_atleast5)),
% 180.16/26.09 inference(rectify,[],[f22])).
% 180.16/26.09 thf(f248,plain,(
% 180.16/26.09 (c_atleast5 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (c_and @ (c_Subq @ Y1 @ Y0) @ (c_and @ (c_not @ (c_Subq @ Y0 @ Y1)) @ (c_atleast4 @ Y1)))))))),
% 180.16/26.09 inference(fool_elimination,[],[f247])).
% 180.16/26.09 thf(f249,plain,(
% 180.16/26.09 (c_SNoElts_ = (^[X0 : $i] : ((c_binunion @ X0 @ (c_Repl @ X0 @ (^[X1 : $i] : (((^[X2 : $i] : ((c_SetAdjoin @ X2 @ (c_Sing @ (c_ordsucc @ c_Empty))))) @ X1))))))))),
% 180.16/26.09 inference(rectify,[],[f93])).
% 180.16/26.09 thf(f250,plain,(
% 180.16/26.09 (c_SNoElts_ = (^[Y0 : $i]: (c_binunion @ Y0 @ (c_Repl @ Y0 @ (^[Y1 : $i]: ((^[Y2 : $i]: (c_SetAdjoin @ Y2 @ (c_Sing @ (c_ordsucc @ c_Empty)))) @ Y1))))))),
% 180.16/26.09 inference(fool_elimination,[],[f249])).
% 180.16/26.09 thf(f255,plain,(
% 180.16/26.09 ! [X0 : $i,X1 : $i] : (c_iff @ (c_In @ X1 @ (c_Power @ X0)) @ (c_Subq @ X1 @ X0))),
% 180.16/26.09 inference(rectify,[],[f7])).
% 180.16/26.09 thf(f256,plain,(
% 180.16/26.09 ! [X1 : $i,X0 : $i] : (((c_iff @ (c_In @ X1 @ (c_Power @ X0)) @ (c_Subq @ X1 @ X0))) = $true)),
% 180.16/26.09 inference(fool_elimination,[],[f255])).
% 180.16/26.09 thf(f261,plain,(
% 180.16/26.09 (c_binunion = (^[Y0 : $i]: ((^[Y1 : $i]: (c_Union @ (c_UPair @ Y0 @ Y1))))))),
% 180.16/26.09 inference(fool_elimination,[],[f49])).
% 180.16/26.09 thf(f264,plain,(
% 180.16/26.09 ((^[X0 : $o, X1 : $o] : ((c_and @ X0 => X1 @ X1 => X0))) = c_iff)),
% 180.16/26.09 inference(rectify,[],[f16])).
% 180.16/26.09 thf(f265,plain,(
% 180.16/26.09 (c_iff = (^[Y0 : $o]: ((^[Y1 : $o]: (c_and @ (Y0 => Y1) @ (Y1 => Y0))))))),
% 180.16/26.09 inference(fool_elimination,[],[f264])).
% 180.16/26.09 thf(f268,plain,(
% 180.16/26.09 (c_exactly5 = (^[Y0 : $i]: (c_and @ (c_atleast5 @ Y0) @ (c_not @ (c_atleast6 @ Y0)))))),
% 180.16/26.09 inference(fool_elimination,[],[f27])).
% 180.16/26.09 thf(f271,plain,(
% 180.16/26.09 (c_ReplSep = (^[X0 : $i, X1 : ($i > $o), X2 : ($i > $i)] : ((c_Repl @ (c_Sep @ X0 @ (^[X3 : $i] : ((X1 @ X3)))) @ (^[X4 : $i] : ((X2 @ X4)))))))),
% 180.16/26.09 inference(rectify,[],[f53])).
% 180.16/26.09 thf(f272,plain,(
% 180.16/26.09 (c_ReplSep = (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i]: (c_Repl @ (c_Sep @ Y0 @ (^[Y3 : $i]: (Y1 @ Y3))) @ (^[Y3 : $i]: (Y2 @ Y3)))))))))),
% 180.16/26.09 inference(fool_elimination,[],[f271])).
% 180.16/26.09 thf(f275,plain,(
% 180.16/26.09 ((^[X0 : $i, X1 : $i] : ((c_and @ (c_Subq @ X1 @ (c_SNoElts_ @ X0)) @ ! [X2 : $i] : ((c_In @ X2 @ X0) => (c_exactly1of2 @ (c_In @ ((^[X3 : $i] : ((c_SetAdjoin @ X3 @ (c_Sing @ (c_ordsucc @ c_Empty))))) @ X2) @ X1) @ (c_In @ X2 @ X1)))))) = c_SNo_)),
% 180.16/26.09 inference(rectify,[],[f94])).
% 180.16/26.09 thf(f276,plain,(
% 180.16/26.09 (c_SNo_ = (^[Y0 : $i]: ((^[Y1 : $i]: (c_and @ (c_Subq @ Y1 @ (c_SNoElts_ @ Y0)) @ (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_exactly1of2 @ (c_In @ ((^[Y3 : $i]: (c_SetAdjoin @ Y3 @ (c_Sing @ (c_ordsucc @ c_Empty)))) @ Y2) @ Y1) @ (c_In @ Y2 @ Y1))))))))))),
% 180.16/26.09 inference(fool_elimination,[],[f275])).
% 180.16/26.09 thf(f279,plain,(
% 180.16/26.09 (c_ordsucc = (^[Y0 : $i]: (c_binunion @ Y0 @ (c_Sing @ Y0))))),
% 180.16/26.09 inference(fool_elimination,[],[f62])).
% 180.16/26.09 thf(f282,plain,(
% 180.16/26.09 (c_SNoLev = (^[X0 : $i] : ((c_Eps_i @ (^[X1 : $i] : ((c_and @ (c_ordinal @ X1) @ (c_SNo_ @ X1 @ X0))))))))),
% 180.16/26.09 inference(rectify,[],[f97])).
% 180.16/26.09 thf(f283,plain,(
% 180.16/26.09 (c_SNoLev = (^[Y0 : $i]: (c_Eps_i @ (^[Y1 : $i]: (c_and @ (c_ordinal @ Y1) @ (c_SNo_ @ Y1 @ Y0))))))),
% 180.16/26.09 inference(fool_elimination,[],[f282])).
% 180.16/26.09 thf(f287,plain,(
% 180.16/26.09 ((^[X0 : $i] : ((c_ReplSep @ X0 @ (^[X1 : $i] : (? [X2 : $i] : (((c_Inj1 @ X2)) = X1))) @ (^[X3 : $i] : ((c_Unj @ X3)))))) = c_proj1)),
% 180.16/26.09 inference(rectify,[],[f75])).
% 180.16/26.09 thf(f288,plain,(
% 180.16/26.09 (c_proj1 = (^[Y0 : $i]: (c_ReplSep @ Y0 @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((c_Inj1 @ Y2) = Y1)))) @ (^[Y1 : $i]: (c_Unj @ Y1)))))),
% 180.16/26.09 inference(fool_elimination,[],[f287])).
% 180.16/26.09 thf(f291,plain,(
% 180.16/26.09 ((^[X0 : $o, X1 : $o] : (! [X2 : $o] : ((X0 => X2) => ((X1 => X2) => X2)))) = c_or)),
% 180.16/26.09 inference(rectify,[],[f15])).
% 180.16/26.09 thf(f292,plain,(
% 180.16/26.09 (c_or = (^[Y0 : $o]: ((^[Y1 : $o]: (!! @ $o @ (^[Y2 : $o]: ((Y0 => Y2) => ((Y1 => Y2) => Y2))))))))),
% 180.16/26.09 inference(fool_elimination,[],[f291])).
% 180.16/26.09 thf(f297,plain,(
% 180.16/26.09 ((^[X0 : $o] : (X0 => c_False)) = c_not)),
% 180.16/26.09 inference(rectify,[],[f13])).
% 180.16/26.09 thf(f298,plain,(
% 180.16/26.09 (c_not = (^[Y0 : $o]: (Y0 => c_False)))),
% 180.16/26.09 inference(fool_elimination,[],[f297])).
% 180.16/26.09 thf(f301,plain,(
% 180.16/26.09 (c_Sing = (^[Y0 : $i]: (c_UPair @ Y0 @ Y0)))),
% 180.16/26.09 inference(fool_elimination,[],[f48])).
% 180.16/26.09 thf(f305,plain,(
% 180.16/26.09 (c_Subq = (^[X0 : $i, X1 : $i] : (! [X2 : $i] : ((c_In @ X2 @ X0) => (c_In @ X2 @ X1)))))),
% 180.16/26.09 inference(rectify,[],[f17])).
% 180.16/26.09 thf(f306,plain,(
% 180.16/26.09 (c_Subq = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ Y1))))))))),
% 180.16/26.09 inference(fool_elimination,[],[f305])).
% 180.16/26.09 thf(f307,plain,(
% 180.16/26.09 (c_nIn = (^[Y0 : $i]: ((^[Y1 : $i]: (c_not @ (c_In @ Y0 @ Y1))))))),
% 180.16/26.09 inference(fool_elimination,[],[f45])).
% 180.16/26.09 thf(f308,plain,(
% 180.16/26.09 (((c_not @ (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i) @ (^[Y2 : $i > $i]: ((c_In @ Y0 @ (Y2 @ (Y2 @ (Y2 @ (c_setexp @ (c_famunion @ (c_SNoLev @ c_Empty) @ (^[Y3 : $i]: (Y3))) @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty))))))) => (!! @ $i @ (^[Y3 : $i]: ((c_Subq @ Y3 @ Y0) => ((?? @ $i @ (^[Y4 : $i]: (c_and @ (c_Subq @ Y4 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_and @ (c_not @ (Y1 @ Y4)) @ (c_not @ (c_exactly5 @ c_Empty)))))) => (c_not @ (Y1 @ Y3))))))))))))))) != $true)),
% 180.16/26.09 inference(flattening,[],[f198])).
% 180.16/26.09 thf(f317,plain,(
% 180.16/26.09 ! [X0 : ($i > $o)] : (! [X3 : $i] : (((X0 @ X3)) = $true) | ? [X1 : $i] : ((((X0 @ X1)) != $true) & ! [X2 : $i] : ((((c_In @ X2 @ X1)) != $true) | (((X0 @ X2)) = $true))))),
% 180.16/26.09 inference(ennf_transformation,[],[f149])).
% 180.16/26.09 thf(f328,plain,(
% 180.16/26.09 ! [X0 : $i,X1 : $i] : (((c_iff @ (c_In @ X0 @ (c_Power @ X1)) @ (c_Subq @ X0 @ X1))) = $true)),
% 180.16/26.09 inference(rectify,[],[f256])).
% 180.16/26.09 thf(f329,plain,(
% 180.16/26.09 ! [X0 : ($i > $o)] : (! [X1 : $i] : (((X0 @ X1)) = $true) | ? [X2 : $i] : ((((X0 @ X2)) != $true) & ! [X3 : $i] : ((((c_In @ X3 @ X2)) != $true) | (((X0 @ X3)) = $true))))),
% 180.16/26.09 inference(rectify,[],[f317])).
% 180.16/26.09 thf(f330,plain,(
% 180.16/26.09 ! [X0 : ($i > $o)] : (! [X1 : $i] : (((X0 @ X1)) = $true) | ((((X0 @ (sK8 @ X0))) != $true) & ! [X3 : $i] : ((((c_In @ X3 @ (sK8 @ X0))) != $true) | (((X0 @ X3)) = $true))))),
% 180.16/26.09 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X2,sK3 @ X0)],[f329])).
% 180.16/26.09 thf(f333,plain,(
% 180.16/26.09 (((c_not @ (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i) @ (^[Y2 : $i > $i]: ((c_In @ Y0 @ (Y2 @ (Y2 @ (Y2 @ (c_setexp @ (c_famunion @ (c_SNoLev @ c_Empty) @ (^[Y3 : $i]: (Y3))) @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty))))))) => (!! @ $i @ (^[Y3 : $i]: ((c_Subq @ Y3 @ Y0) => ((?? @ $i @ (^[Y4 : $i]: (c_and @ (c_Subq @ Y4 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_and @ (c_not @ (Y1 @ Y4)) @ (c_not @ (c_exactly5 @ c_Empty)))))) => (c_not @ (Y1 @ Y3))))))))))))))) != $true)),
% 180.16/26.09 inference(cnf_transformation,[],[f308])).
% 180.16/26.09 thf(f335,plain,(
% 180.16/26.09 (c_Sep = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (c_If_i @ (?? @ $i @ (^[Y2 : $i]: (c_and @ (c_In @ Y2 @ Y0) @ (Y1 @ Y2)))) @ (c_Repl @ Y0 @ (^[Y2 : $i]: ((^[Y3 : $i]: (c_If_i @ (Y1 @ Y3) @ Y3 @ (c_Eps_i @ (^[Y4 : $i]: (c_and @ (c_In @ Y4 @ Y0) @ (Y1 @ Y4)))))) @ Y2))) @ c_Empty)))))),
% 180.16/26.09 inference(cnf_transformation,[],[f208])).
% 180.16/26.09 thf(f338,plain,(
% 180.16/26.09 (c_If_i = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Eps_i @ (^[Y3 : $i]: (c_or @ (c_and @ Y0 @ (Y1 = Y3)) @ (c_and @ (c_not @ Y0) @ (Y2 = Y3)))))))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f176])).
% 180.16/26.09 thf(f339,plain,(
% 180.16/26.09 (c_setsum = (^[Y0 : $i]: ((^[Y1 : $i]: (c_binunion @ (c_Repl @ Y0 @ (^[Y2 : $i]: (c_Inj0 @ Y2))) @ (c_Repl @ Y1 @ (^[Y2 : $i]: (c_Inj1 @ Y2))))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f212])).
% 180.16/26.09 thf(f346,plain,(
% 180.16/26.09 (c_lam = (^[Y0 : $i]: ((^[Y1 : $i > $i]: (c_famunion @ Y0 @ (^[Y2 : $i]: (c_Repl @ (Y1 @ Y2) @ (^[Y3 : $i]: (c_setsum @ Y2 @ Y3)))))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f220])).
% 180.16/26.09 thf(f348,plain,(
% 180.16/26.09 (c_SNo_ = (^[Y0 : $i]: ((^[Y1 : $i]: (c_and @ (c_Subq @ Y1 @ (c_SNoElts_ @ Y0)) @ (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_exactly1of2 @ (c_In @ ((^[Y3 : $i]: (c_SetAdjoin @ Y3 @ (c_Sing @ (c_ordsucc @ c_Empty)))) @ Y2) @ Y1) @ (c_In @ Y2 @ Y1))))))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f276])).
% 180.16/26.09 thf(f356,plain,(
% 180.16/26.09 (c_ordinal = (^[Y0 : $i]: (c_and @ (c_TransSet @ Y0) @ (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => (c_TransSet @ Y1)))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f190])).
% 180.16/26.09 thf(f359,plain,(
% 180.16/26.09 (c_exactly1of2 = (^[Y0 : $o]: ((^[Y1 : $o]: (c_or @ (c_and @ Y0 @ (c_not @ Y1)) @ (c_and @ (c_not @ Y0) @ Y1))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f223])).
% 180.16/26.09 thf(f362,plain,(
% 180.16/26.09 (c_nIn = (^[Y0 : $i]: ((^[Y1 : $i]: (c_not @ (c_In @ Y0 @ Y1))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f307])).
% 180.16/26.09 thf(f365,plain,(
% 180.16/26.09 (c_UPair = (^[Y0 : $i]: ((^[Y1 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y2 : $i]: (c_If_i @ (c_In @ c_Empty @ Y2) @ Y0 @ Y1)))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f136])).
% 180.16/26.09 thf(f367,plain,(
% 180.16/26.09 (c_Sing = (^[Y0 : $i]: (c_UPair @ Y0 @ Y0)))),
% 180.16/26.09 inference(cnf_transformation,[],[f301])).
% 180.16/26.09 thf(f368,plain,(
% 180.16/26.09 (c_In_rec_poly_G_i = (^[Y0 : $i > ($i > $i) > $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: ((!! @ $i @ (^[Y4 : $i]: (!! @ ($i > $i) @ (^[Y5 : $i > $i]: ((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (Y3 @ Y6 @ (Y5 @ Y6))))) => (Y3 @ Y4 @ (Y0 @ Y4 @ Y5))))))) => (Y3 @ Y1 @ Y2))))))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f206])).
% 180.16/26.09 thf(f369,plain,(
% 180.16/26.09 (c_proj1 = (^[Y0 : $i]: (c_ReplSep @ Y0 @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((c_Inj1 @ Y2) = Y1)))) @ (^[Y1 : $i]: (c_Unj @ Y1)))))),
% 180.16/26.09 inference(cnf_transformation,[],[f288])).
% 180.16/26.09 thf(f370,plain,(
% 180.16/26.09 (c_atleast4 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (c_and @ (c_Subq @ Y1 @ Y0) @ (c_and @ (c_not @ (c_Subq @ Y0 @ Y1)) @ (c_atleast3 @ Y1)))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f178])).
% 180.16/26.09 thf(f372,plain,(
% 180.16/26.09 (c_Inj1 = ((c_In_rec_poly_i @ (^[Y0 : $i]: ((^[Y1 : $i > $i]: (c_binunion @ (c_Sing @ c_Empty) @ (c_Repl @ Y0 @ (^[Y2 : $i]: (Y1 @ Y2))))))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f188])).
% 180.16/26.09 thf(f374,plain,(
% 180.16/26.09 (c_Inj0 = (^[Y0 : $i]: (c_Repl @ Y0 @ (^[Y1 : $i]: (c_Inj1 @ Y1)))))),
% 180.16/26.09 inference(cnf_transformation,[],[f168])).
% 180.16/26.09 thf(f377,plain,(
% 180.16/26.09 (c_Subq = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ Y1))))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f306])).
% 180.16/26.09 thf(f378,plain,(
% 180.16/26.09 (c_famunion = (^[Y0 : $i]: ((^[Y1 : $i > $i]: (c_Union @ (c_Repl @ Y0 @ (^[Y2 : $i]: (Y1 @ Y2))))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f164])).
% 180.16/26.09 thf(f379,plain,(
% 180.16/26.09 (c_ordsucc = (^[Y0 : $i]: (c_binunion @ Y0 @ (c_Sing @ Y0))))),
% 180.16/26.09 inference(cnf_transformation,[],[f279])).
% 180.16/26.09 thf(f381,plain,(
% 180.16/26.09 ($true = ((c_not @ (?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f225])).
% 180.16/26.09 thf(f382,plain,(
% 180.16/26.09 (c_SNoLev = (^[Y0 : $i]: (c_Eps_i @ (^[Y1 : $i]: (c_and @ (c_ordinal @ Y1) @ (c_SNo_ @ Y1 @ Y0))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f283])).
% 180.16/26.09 thf(f387,plain,(
% 180.16/26.09 (c_atleast2 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (c_and @ (c_In @ Y1 @ Y0) @ (c_not @ (c_Subq @ Y0 @ (c_Power @ Y1))))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f210])).
% 180.16/26.09 thf(f390,plain,(
% 180.16/26.09 (c_atleast5 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (c_and @ (c_Subq @ Y1 @ Y0) @ (c_and @ (c_not @ (c_Subq @ Y0 @ Y1)) @ (c_atleast4 @ Y1)))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f248])).
% 180.16/26.09 thf(f391,plain,(
% 180.16/26.09 (c_ReplSep = (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i]: (c_Repl @ (c_Sep @ Y0 @ (^[Y3 : $i]: (Y1 @ Y3))) @ (^[Y3 : $i]: (Y2 @ Y3)))))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f272])).
% 180.16/26.09 thf(f392,plain,(
% 180.16/26.09 (c_not = (^[Y0 : $o]: (Y0 => c_False)))),
% 180.16/26.09 inference(cnf_transformation,[],[f298])).
% 180.16/26.09 thf(f407,plain,(
% 180.16/26.09 (c_iff = (^[Y0 : $o]: ((^[Y1 : $o]: (c_and @ (Y0 => Y1) @ (Y1 => Y0))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f265])).
% 180.16/26.09 thf(f408,plain,(
% 180.16/26.09 (c_In_rec_poly_i = (^[Y0 : $i > ($i > $i) > $i]: ((^[Y1 : $i]: (c_Eps_i @ (^[Y2 : $i]: (c_In_rec_poly_G_i @ Y0 @ Y1 @ Y2)))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f142])).
% 180.16/26.09 thf(f409,plain,(
% 180.16/26.09 (c_TransSet = (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => (c_Subq @ Y1 @ Y0))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f246])).
% 180.16/26.09 thf(f413,plain,(
% 180.16/26.09 (c_setexp = (^[Y0 : $i]: ((^[Y1 : $i]: (c_Pi @ Y1 @ (^[Y2 : $i]: (Y0)))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f124])).
% 180.16/26.09 thf(f419,plain,(
% 180.16/26.09 (c_Unj = ((c_In_rec_poly_i @ (^[Y0 : $i]: ((^[Y1 : $i > $i]: (c_Repl @ (c_setminus @ Y0 @ (c_Sing @ c_Empty)) @ (^[Y2 : $i]: (Y1 @ Y2)))))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f114])).
% 180.16/26.09 thf(f420,plain,(
% 180.16/26.09 (c_setminus = (^[Y0 : $i]: ((^[Y1 : $i]: (c_Sep @ Y0 @ (^[Y2 : $i]: (c_nIn @ Y2 @ Y1)))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f192])).
% 180.16/26.09 thf(f421,plain,(
% 180.16/26.09 (c_atleast3 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (c_and @ (c_Subq @ Y1 @ Y0) @ (c_and @ (c_not @ (c_Subq @ Y0 @ Y1)) @ (c_atleast2 @ Y1)))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f126])).
% 180.16/26.09 thf(f424,plain,(
% 180.16/26.09 (c_and = (^[Y0 : $o]: ((^[Y1 : $o]: (!! @ $o @ (^[Y2 : $o]: ((Y0 => (Y1 => Y2)) => Y2)))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f180])).
% 180.16/26.09 thf(f429,plain,(
% 180.16/26.09 (c_SNoElts_ = (^[Y0 : $i]: (c_binunion @ Y0 @ (c_Repl @ Y0 @ (^[Y1 : $i]: ((^[Y2 : $i]: (c_SetAdjoin @ Y2 @ (c_Sing @ (c_ordsucc @ c_Empty)))) @ Y1))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f250])).
% 180.16/26.09 thf(f430,plain,(
% 180.16/26.09 (c_atleast6 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (c_and @ (c_Subq @ Y1 @ Y0) @ (c_and @ (c_not @ (c_Subq @ Y0 @ Y1)) @ (c_atleast5 @ Y1)))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f239])).
% 180.16/26.09 thf(f431,plain,(
% 180.16/26.09 (c_SetAdjoin = (^[Y0 : $i]: ((^[Y1 : $i]: (c_binunion @ Y0 @ (c_Sing @ Y1))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f162])).
% 180.16/26.09 thf(f435,plain,(
% 180.16/26.09 (c_binrep = (^[Y0 : $i]: ((^[Y1 : $i]: (c_setsum @ Y0 @ (c_Power @ Y1))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f218])).
% 180.16/26.09 thf(f436,plain,(
% 180.16/26.09 ( ! [X0 : $i,X1 : $i] : ((((c_iff @ (c_In @ X0 @ (c_Power @ X1)) @ (c_Subq @ X0 @ X1))) = $true)) )),
% 180.16/26.09 inference(cnf_transformation,[],[f328])).
% 180.16/26.09 thf(f438,plain,(
% 180.16/26.09 (c_Pi = (^[Y0 : $i]: ((^[Y1 : $i > $i]: (c_Sep @ (c_Power @ (c_lam @ Y0 @ (^[Y2 : $i]: (c_Union @ (Y1 @ Y2))))) @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y0) => (c_In @ (c_ap @ Y2 @ Y3) @ (Y1 @ Y3)))))))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f151])).
% 180.16/26.09 thf(f440,plain,(
% 180.16/26.09 (c_binunion = (^[Y0 : $i]: ((^[Y1 : $i]: (c_Union @ (c_UPair @ Y0 @ Y1))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f261])).
% 180.16/26.09 thf(f441,plain,(
% 180.16/26.09 (c_exactly5 = (^[Y0 : $i]: (c_and @ (c_atleast5 @ Y0) @ (c_not @ (c_atleast6 @ Y0)))))),
% 180.16/26.09 inference(cnf_transformation,[],[f268])).
% 180.16/26.09 thf(f442,plain,(
% 180.16/26.09 (c_or = (^[Y0 : $o]: ((^[Y1 : $o]: (!! @ $o @ (^[Y2 : $o]: ((Y0 => Y2) => ((Y1 => Y2) => Y2))))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f292])).
% 180.16/26.09 thf(f444,plain,(
% 180.16/26.09 (c_ap = (^[Y0 : $i]: ((^[Y1 : $i]: (c_ReplSep @ Y0 @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((c_setsum @ Y1 @ Y3) = Y2)))) @ (^[Y2 : $i]: (c_proj1 @ Y2)))))))),
% 180.16/26.09 inference(cnf_transformation,[],[f242])).
% 180.16/26.09 thf(f448,plain,(
% 180.16/26.09 ( ! [X3 : $i,X0 : ($i > $o),X1 : $i] : ((((c_In @ X3 @ (sK8 @ X0))) != $true) | (((X0 @ X3)) = $true) | (((X0 @ X1)) = $true)) )),
% 180.16/26.09 inference(cnf_transformation,[],[f330])).
% 180.16/26.09 thf(f449,plain,(
% 180.16/26.09 ( ! [X0 : ($i > $o),X1 : $i] : ((((X0 @ (sK8 @ X0))) != $true) | (((X0 @ X1)) = $true)) )),
% 180.16/26.09 inference(cnf_transformation,[],[f330])).
% 180.16/26.09 thf(f452,plain,(
% 180.16/26.09 (c_iff = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ (Y0 => Y1) @ (Y1 => Y0))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f407,f424])).
% 180.16/26.09 thf(f453,plain,(
% 180.16/26.09 (c_TransSet = (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y3))))))) @ Y1 @ Y0))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f409,f377])).
% 180.16/26.09 thf(f454,plain,(
% 180.16/26.09 (c_atleast2 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ (c_In @ Y1 @ Y0) @ ((^[Y2 : $o]: (Y2 => c_False)) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y3))))))) @ Y0 @ (c_Power @ Y1))))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f387,f424,f392,f377])).
% 180.16/26.09 thf(f455,plain,(
% 180.16/26.09 (c_atleast3 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y3))))))) @ Y1 @ Y0) @ ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $o]: (Y2 => c_False)) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y3))))))) @ Y0 @ Y1)) @ ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ (c_In @ Y3 @ Y2) @ ((^[Y4 : $o]: (Y4 => c_False)) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y2 @ (c_Power @ Y3))))))) @ Y1)))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f421,f424,f377,f424,f392,f377,f454])).
% 180.16/26.09 thf(f456,plain,(
% 180.16/26.09 (c_atleast4 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y3))))))) @ Y1 @ Y0) @ ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $o]: (Y2 => c_False)) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y3))))))) @ Y0 @ Y1)) @ ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y3 @ Y2) @ ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ ((^[Y4 : $o]: (Y4 => c_False)) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y2 @ Y3)) @ ((^[Y4 : $i]: (?? @ $i @ (^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $o]: (!! @ $o @ (^[Y8 : $o]: ((Y6 => (Y7 => Y8)) => Y8)))))) @ (c_In @ Y5 @ Y4) @ ((^[Y6 : $o]: (Y6 => c_False)) @ ((^[Y6 : $i]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ Y7))))))) @ Y4 @ (c_Power @ Y5))))))) @ Y3)))))) @ Y1)))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f370,f424,f377,f424,f392,f377,f455])).
% 180.16/26.09 thf(f457,plain,(
% 180.16/26.09 (c_atleast5 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y3))))))) @ Y1 @ Y0) @ ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $o]: (Y2 => c_False)) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y3))))))) @ Y0 @ Y1)) @ ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y3 @ Y2) @ ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ ((^[Y4 : $o]: (Y4 => c_False)) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y2 @ Y3)) @ ((^[Y4 : $i]: (?? @ $i @ (^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $o]: (!! @ $o @ (^[Y8 : $o]: ((Y6 => (Y7 => Y8)) => Y8)))))) @ ((^[Y6 : $i]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ Y7))))))) @ Y5 @ Y4) @ ((^[Y6 : $o]: ((^[Y7 : $o]: (!! @ $o @ (^[Y8 : $o]: ((Y6 => (Y7 => Y8)) => Y8)))))) @ ((^[Y6 : $o]: (Y6 => c_False)) @ ((^[Y6 : $i]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ Y7))))))) @ Y4 @ Y5)) @ ((^[Y6 : $i]: (?? @ $i @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ (c_In @ Y7 @ Y6) @ ((^[Y8 : $o]: (Y8 => c_False)) @ ((^[Y8 : $i]: ((^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y8) => (c_In @ Y10 @ Y9))))))) @ Y6 @ (c_Power @ Y7))))))) @ Y5)))))) @ Y3)))))) @ Y1)))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f390,f424,f377,f424,f392,f377,f456])).
% 180.16/26.09 thf(f458,plain,(
% 180.16/26.09 (c_atleast6 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y3))))))) @ Y1 @ Y0) @ ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $o]: (Y2 => c_False)) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y3))))))) @ Y0 @ Y1)) @ ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y3 @ Y2) @ ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ ((^[Y4 : $o]: (Y4 => c_False)) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y2 @ Y3)) @ ((^[Y4 : $i]: (?? @ $i @ (^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $o]: (!! @ $o @ (^[Y8 : $o]: ((Y6 => (Y7 => Y8)) => Y8)))))) @ ((^[Y6 : $i]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ Y7))))))) @ Y5 @ Y4) @ ((^[Y6 : $o]: ((^[Y7 : $o]: (!! @ $o @ (^[Y8 : $o]: ((Y6 => (Y7 => Y8)) => Y8)))))) @ ((^[Y6 : $o]: (Y6 => c_False)) @ ((^[Y6 : $i]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ Y7))))))) @ Y4 @ Y5)) @ ((^[Y6 : $i]: (?? @ $i @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ ((^[Y8 : $i]: ((^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y8) => (c_In @ Y10 @ Y9))))))) @ Y7 @ Y6) @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ ((^[Y8 : $o]: (Y8 => c_False)) @ ((^[Y8 : $i]: ((^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y8) => (c_In @ Y10 @ Y9))))))) @ Y6 @ Y7)) @ ((^[Y8 : $i]: (?? @ $i @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ (c_In @ Y9 @ Y8) @ ((^[Y10 : $o]: (Y10 => c_False)) @ ((^[Y10 : $i]: ((^[Y11 : $i]: (!! @ $i @ (^[Y12 : $i]: ((c_In @ Y12 @ Y10) => (c_In @ Y12 @ Y11))))))) @ Y8 @ (c_Power @ Y9))))))) @ Y7)))))) @ Y5)))))) @ Y3)))))) @ Y1)))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f430,f424,f377,f424,f392,f377,f457])).
% 180.16/26.09 thf(f462,plain,(
% 180.16/26.09 (c_exactly5 = (^[Y0 : $i]: ((^[Y1 : $o]: ((^[Y2 : $o]: (!! @ $o @ (^[Y3 : $o]: ((Y1 => (Y2 => Y3)) => Y3)))))) @ ((^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ ((^[Y3 : $i]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y4))))))) @ Y2 @ Y1) @ ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ ((^[Y3 : $o]: (Y3 => c_False)) @ ((^[Y3 : $i]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y4))))))) @ Y1 @ Y2)) @ ((^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y4 @ Y3) @ ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $o]: (Y5 => c_False)) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y3 @ Y4)) @ ((^[Y5 : $i]: (?? @ $i @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $i]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y8))))))) @ Y6 @ Y5) @ ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $o]: (Y7 => c_False)) @ ((^[Y7 : $i]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y8))))))) @ Y5 @ Y6)) @ ((^[Y7 : $i]: (?? @ $i @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ (c_In @ Y8 @ Y7) @ ((^[Y9 : $o]: (Y9 => c_False)) @ ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y9) => (c_In @ Y11 @ Y10))))))) @ Y7 @ (c_Power @ Y8))))))) @ Y6)))))) @ Y4)))))) @ Y2)))))) @ Y0) @ ((^[Y1 : $o]: (Y1 => c_False)) @ ((^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ ((^[Y3 : $i]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y4))))))) @ Y2 @ Y1) @ ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ ((^[Y3 : $o]: (Y3 => c_False)) @ ((^[Y3 : $i]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y4))))))) @ Y1 @ Y2)) @ ((^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y4 @ Y3) @ ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $o]: (Y5 => c_False)) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y3 @ Y4)) @ ((^[Y5 : $i]: (?? @ $i @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $i]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y8))))))) @ Y6 @ Y5) @ ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $o]: (Y7 => c_False)) @ ((^[Y7 : $i]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y8))))))) @ Y5 @ Y6)) @ ((^[Y7 : $i]: (?? @ $i @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y9) => (c_In @ Y11 @ Y10))))))) @ Y8 @ Y7) @ ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ ((^[Y9 : $o]: (Y9 => c_False)) @ ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y9) => (c_In @ Y11 @ Y10))))))) @ Y7 @ Y8)) @ ((^[Y9 : $i]: (?? @ $i @ (^[Y10 : $i]: ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => (Y12 => Y13)) => Y13)))))) @ (c_In @ Y10 @ Y9) @ ((^[Y11 : $o]: (Y11 => c_False)) @ ((^[Y11 : $i]: ((^[Y12 : $i]: (!! @ $i @ (^[Y13 : $i]: ((c_In @ Y13 @ Y11) => (c_In @ Y13 @ Y12))))))) @ Y9 @ (c_Power @ Y10))))))) @ Y8)))))) @ Y6)))))) @ Y4)))))) @ Y2)))))) @ Y0)))))),
% 180.16/26.09 inference(definition_unfolding,[],[f441,f424,f457,f392,f458])).
% 180.16/26.09 thf(f473,plain,(
% 180.16/26.09 (c_If_i = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Eps_i @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => Y6) => ((Y5 => Y6) => Y6))))))) @ ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ Y0 @ (Y1 = Y3)) @ ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ ((^[Y4 : $o]: (Y4 => c_False)) @ Y0) @ (Y2 = Y3)))))))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f338,f442,f424,f424,f392])).
% 180.16/26.09 thf(f474,plain,(
% 180.16/26.09 (c_exactly1of2 = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => Y4) => ((Y3 => Y4) => Y4))))))) @ ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ Y0 @ ((^[Y2 : $o]: (Y2 => c_False)) @ Y1)) @ ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $o]: (Y2 => c_False)) @ Y0) @ Y1))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f359,f442,f424,f392,f424,f392])).
% 180.16/26.09 thf(f476,plain,(
% 180.16/26.09 (c_nIn = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $o]: (Y2 => c_False)) @ (c_In @ Y0 @ Y1))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f362,f392])).
% 180.16/26.09 thf(f478,plain,(
% 180.16/26.09 (c_UPair = (^[Y0 : $i]: ((^[Y1 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (c_Eps_i @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => Y9) => ((Y8 => Y9) => Y9))))))) @ ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ Y3 @ (Y4 = Y6)) @ ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $o]: (Y7 => c_False)) @ Y3) @ (Y5 = Y6)))))))))) @ (c_In @ c_Empty @ Y2) @ Y0 @ Y1)))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f365,f473])).
% 180.16/26.09 thf(f479,plain,(
% 180.16/26.09 (c_Sing = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => Y10) => ((Y9 => Y10) => Y10))))))) @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ Y4 @ (Y5 = Y7)) @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ ((^[Y8 : $o]: (Y8 => c_False)) @ Y4) @ (Y6 = Y7)))))))))) @ (c_In @ c_Empty @ Y3) @ Y1 @ Y2)))))) @ Y0 @ Y0)))),
% 180.16/26.09 inference(definition_unfolding,[],[f367,f478])).
% 180.16/26.09 thf(f480,plain,(
% 180.16/26.09 (c_binunion = (^[Y0 : $i]: ((^[Y1 : $i]: (c_Union @ ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Eps_i @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => Y11) => ((Y10 => Y11) => Y11))))))) @ ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ Y5 @ (Y6 = Y8)) @ ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ ((^[Y9 : $o]: (Y9 => c_False)) @ Y5) @ (Y7 = Y8)))))))))) @ (c_In @ c_Empty @ Y4) @ Y2 @ Y3)))))) @ Y0 @ Y1))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f440,f478])).
% 180.16/26.09 thf(f481,plain,(
% 180.16/26.09 (c_SetAdjoin = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Union @ ((^[Y4 : $i]: ((^[Y5 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: (c_Eps_i @ (^[Y10 : $i]: ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => Y13) => ((Y12 => Y13) => Y13))))))) @ ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => (Y12 => Y13)) => Y13)))))) @ Y7 @ (Y8 = Y10)) @ ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => (Y12 => Y13)) => Y13)))))) @ ((^[Y11 : $o]: (Y11 => c_False)) @ Y7) @ (Y9 = Y10)))))))))) @ (c_In @ c_Empty @ Y6) @ Y4 @ Y5)))))) @ Y2 @ Y3))))) @ Y0 @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => Y12) => ((Y11 => Y12) => Y12))))))) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ Y6 @ (Y7 = Y9)) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ ((^[Y10 : $o]: (Y10 => c_False)) @ Y6) @ (Y8 = Y9)))))))))) @ (c_In @ c_Empty @ Y5) @ Y3 @ Y4)))))) @ Y2 @ Y2)) @ Y1))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f431,f480,f479])).
% 180.16/26.09 thf(f482,plain,(
% 180.16/26.09 (c_Sep = (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Eps_i @ (^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $o]: (!! @ $o @ (^[Y8 : $o]: ((Y6 => Y8) => ((Y7 => Y8) => Y8))))))) @ ((^[Y6 : $o]: ((^[Y7 : $o]: (!! @ $o @ (^[Y8 : $o]: ((Y6 => (Y7 => Y8)) => Y8)))))) @ Y2 @ (Y3 = Y5)) @ ((^[Y6 : $o]: ((^[Y7 : $o]: (!! @ $o @ (^[Y8 : $o]: ((Y6 => (Y7 => Y8)) => Y8)))))) @ ((^[Y6 : $o]: (Y6 => c_False)) @ Y2) @ (Y4 = Y5)))))))))) @ (?? @ $i @ (^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ (c_In @ Y2 @ Y0) @ (Y1 @ Y2)))) @ (c_Repl @ Y0 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => Y10) => ((Y9 => Y10) => Y10))))))) @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ Y4 @ (Y5 = Y7)) @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ ((^[Y8 : $o]: (Y8 => c_False)) @ Y4) @ (Y6 = Y7)))))))))) @ (Y1 @ Y3) @ Y3 @ (c_Eps_i @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ (c_In @ Y4 @ Y0) @ (Y1 @ Y4)))))) @ Y2))) @ c_Empty)))))),
% 180.16/26.09 inference(definition_unfolding,[],[f335,f473,f424,f473,f424])).
% 180.16/26.09 thf(f483,plain,(
% 180.16/26.09 (c_ReplSep = (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i]: (c_Repl @ ((^[Y3 : $i]: ((^[Y4 : $i > $o]: ((^[Y5 : $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Eps_i @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => Y11) => ((Y10 => Y11) => Y11))))))) @ ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ Y5 @ (Y6 = Y8)) @ ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ ((^[Y9 : $o]: (Y9 => c_False)) @ Y5) @ (Y7 = Y8)))))))))) @ (?? @ $i @ (^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $o]: (!! @ $o @ (^[Y8 : $o]: ((Y6 => (Y7 => Y8)) => Y8)))))) @ (c_In @ Y5 @ Y3) @ (Y4 @ Y5)))) @ (c_Repl @ Y3 @ (^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: (c_Eps_i @ (^[Y10 : $i]: ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => Y13) => ((Y12 => Y13) => Y13))))))) @ ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => (Y12 => Y13)) => Y13)))))) @ Y7 @ (Y8 = Y10)) @ ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => (Y12 => Y13)) => Y13)))))) @ ((^[Y11 : $o]: (Y11 => c_False)) @ Y7) @ (Y9 = Y10)))))))))) @ (Y4 @ Y6) @ Y6 @ (c_Eps_i @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ (c_In @ Y7 @ Y3) @ (Y4 @ Y7)))))) @ Y5))) @ c_Empty)))) @ Y0 @ (^[Y3 : $i]: (Y1 @ Y3))) @ (^[Y3 : $i]: (Y2 @ Y3)))))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f391,f482])).
% 180.16/26.09 thf(f485,plain,(
% 180.16/26.09 (c_setminus = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $o]: ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => Y10) => ((Y9 => Y10) => Y10))))))) @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ Y4 @ (Y5 = Y7)) @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ ((^[Y8 : $o]: (Y8 => c_False)) @ Y4) @ (Y6 = Y7)))))))))) @ (?? @ $i @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ (c_In @ Y4 @ Y2) @ (Y3 @ Y4)))) @ (c_Repl @ Y2 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => Y12) => ((Y11 => Y12) => Y12))))))) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ Y6 @ (Y7 = Y9)) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ ((^[Y10 : $o]: (Y10 => c_False)) @ Y6) @ (Y8 = Y9)))))))))) @ (Y3 @ Y5) @ Y5 @ (c_Eps_i @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ (c_In @ Y6 @ Y2) @ (Y3 @ Y6)))))) @ Y4))) @ c_Empty)))) @ Y0 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $o]: (Y5 => c_False)) @ (c_In @ Y3 @ Y4))))) @ Y2 @ Y1)))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f420,f482,f476])).
% 180.16/26.09 thf(f490,plain,(
% 180.16/26.09 (c_In_rec_poly_i = (^[Y0 : $i > ($i > $i) > $i]: ((^[Y1 : $i]: (c_Eps_i @ (^[Y2 : $i]: ((^[Y3 : $i > ($i > $i) > $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: ((!! @ $i @ (^[Y7 : $i]: (!! @ ($i > $i) @ (^[Y8 : $i > $i]: ((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (Y6 @ Y9 @ (Y8 @ Y9))))) => (Y6 @ Y7 @ (Y3 @ Y7 @ Y8))))))) => (Y6 @ Y4 @ Y5))))))))) @ Y0 @ Y1 @ Y2)))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f408,f368])).
% 180.16/26.09 thf(f491,plain,(
% 180.16/26.09 (c_ordsucc = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Union @ ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => Y12) => ((Y11 => Y12) => Y12))))))) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ Y6 @ (Y7 = Y9)) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ ((^[Y10 : $o]: (Y10 => c_False)) @ Y6) @ (Y8 = Y9)))))))))) @ (c_In @ c_Empty @ Y5) @ Y3 @ Y4)))))) @ Y1 @ Y2))))) @ Y0 @ ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Eps_i @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => Y11) => ((Y10 => Y11) => Y11))))))) @ ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ Y5 @ (Y6 = Y8)) @ ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ ((^[Y9 : $o]: (Y9 => c_False)) @ Y5) @ (Y7 = Y8)))))))))) @ (c_In @ c_Empty @ Y4) @ Y2 @ Y3)))))) @ Y1 @ Y1)) @ Y0))))),
% 180.16/26.09 inference(definition_unfolding,[],[f379,f480,f479])).
% 180.16/26.09 thf(f496,plain,(
% 180.16/26.09 (c_ordinal = (^[Y0 : $i]: ((^[Y1 : $o]: ((^[Y2 : $o]: (!! @ $o @ (^[Y3 : $o]: ((Y1 => (Y2 => Y3)) => Y3)))))) @ ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y1) => ((^[Y3 : $i]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y4))))))) @ Y2 @ Y1))))) @ Y0) @ (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y2) => ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y3 @ Y2))))) @ Y1)))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f356,f424,f453,f453])).
% 180.16/26.09 thf(f498,plain,(
% 180.16/26.09 (c_Inj1 = (((^[Y0 : $i > ($i > $i) > $i]: ((^[Y1 : $i]: (c_Eps_i @ (^[Y2 : $i]: ((^[Y3 : $i > ($i > $i) > $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: ((!! @ $i @ (^[Y7 : $i]: (!! @ ($i > $i) @ (^[Y8 : $i > $i]: ((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (Y6 @ Y9 @ (Y8 @ Y9))))) => (Y6 @ Y7 @ (Y3 @ Y7 @ Y8))))))) => (Y6 @ Y4 @ Y5))))))))) @ Y0 @ Y1 @ Y2)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Union @ ((^[Y4 : $i]: ((^[Y5 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: (c_Eps_i @ (^[Y10 : $i]: ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => Y13) => ((Y12 => Y13) => Y13))))))) @ ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => (Y12 => Y13)) => Y13)))))) @ Y7 @ (Y8 = Y10)) @ ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => (Y12 => Y13)) => Y13)))))) @ ((^[Y11 : $o]: (Y11 => c_False)) @ Y7) @ (Y9 = Y10)))))))))) @ (c_In @ c_Empty @ Y6) @ Y4 @ Y5)))))) @ Y2 @ Y3))))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => Y12) => ((Y11 => Y12) => Y12))))))) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ Y6 @ (Y7 = Y9)) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ ((^[Y10 : $o]: (Y10 => c_False)) @ Y6) @ (Y8 = Y9)))))))))) @ (c_In @ c_Empty @ Y5) @ Y3 @ Y4)))))) @ Y2 @ Y2)) @ c_Empty) @ (c_Repl @ Y0 @ (^[Y2 : $i]: (Y1 @ Y2))))))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f372,f490,f480,f479])).
% 180.16/26.09 thf(f499,plain,(
% 180.16/26.09 (c_Inj0 = (^[Y0 : $i]: (c_Repl @ Y0 @ (^[Y1 : $i]: ((^[Y2 : $i > ($i > $i) > $i]: ((^[Y3 : $i]: (c_Eps_i @ (^[Y4 : $i]: ((^[Y5 : $i > ($i > $i) > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (!! @ ($i > $i > $o) @ (^[Y8 : $i > $i > $o]: ((!! @ $i @ (^[Y9 : $i]: (!! @ ($i > $i) @ (^[Y10 : $i > $i]: ((!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y9) => (Y8 @ Y11 @ (Y10 @ Y11))))) => (Y8 @ Y9 @ (Y5 @ Y9 @ Y10))))))) => (Y8 @ Y6 @ Y7))))))))) @ Y2 @ Y3 @ Y4)))))) @ (^[Y2 : $i]: ((^[Y3 : $i > $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (c_Union @ ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => Y15) => ((Y14 => Y15) => Y15))))))) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ Y9 @ (Y10 = Y12)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ ((^[Y13 : $o]: (Y13 => c_False)) @ Y9) @ (Y11 = Y12)))))))))) @ (c_In @ c_Empty @ Y8) @ Y6 @ Y7)))))) @ Y4 @ Y5))))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Eps_i @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => Y14) => ((Y13 => Y14) => Y14))))))) @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ Y8 @ (Y9 = Y11)) @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ ((^[Y12 : $o]: (Y12 => c_False)) @ Y8) @ (Y10 = Y11)))))))))) @ (c_In @ c_Empty @ Y7) @ Y5 @ Y6)))))) @ Y4 @ Y4)) @ c_Empty) @ (c_Repl @ Y2 @ (^[Y4 : $i]: (Y3 @ Y4))))))) @ Y1)))))),
% 180.16/26.09 inference(definition_unfolding,[],[f374,f498])).
% 180.16/26.09 thf(f500,plain,(
% 180.16/26.09 (c_Unj = (((^[Y0 : $i > ($i > $i) > $i]: ((^[Y1 : $i]: (c_Eps_i @ (^[Y2 : $i]: ((^[Y3 : $i > ($i > $i) > $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: ((!! @ $i @ (^[Y7 : $i]: (!! @ ($i > $i) @ (^[Y8 : $i > $i]: ((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (Y6 @ Y9 @ (Y8 @ Y9))))) => (Y6 @ Y7 @ (Y3 @ Y7 @ Y8))))))) => (Y6 @ Y4 @ Y5))))))))) @ Y0 @ Y1 @ Y2)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > $i]: (c_Repl @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i > $o]: ((^[Y6 : $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => Y12) => ((Y11 => Y12) => Y12))))))) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ Y6 @ (Y7 = Y9)) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ ((^[Y10 : $o]: (Y10 => c_False)) @ Y6) @ (Y8 = Y9)))))))))) @ (?? @ $i @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ (c_In @ Y6 @ Y4) @ (Y5 @ Y6)))) @ (c_Repl @ Y4 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Eps_i @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => Y14) => ((Y13 => Y14) => Y14))))))) @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ Y8 @ (Y9 = Y11)) @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ ((^[Y12 : $o]: (Y12 => c_False)) @ Y8) @ (Y10 = Y11)))))))))) @ (Y5 @ Y7) @ Y7 @ (c_Eps_i @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ (c_In @ Y8 @ Y4) @ (Y5 @ Y8)))))) @ Y6))) @ c_Empty)))) @ Y2 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $o]: (Y7 => c_False)) @ (c_In @ Y5 @ Y6))))) @ Y4 @ Y3)))))) @ Y0 @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => Y12) => ((Y11 => Y12) => Y12))))))) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ Y6 @ (Y7 = Y9)) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ ((^[Y10 : $o]: (Y10 => c_False)) @ Y6) @ (Y8 = Y9)))))))))) @ (c_In @ c_Empty @ Y5) @ Y3 @ Y4)))))) @ Y2 @ Y2)) @ c_Empty)) @ (^[Y2 : $i]: (Y1 @ Y2)))))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f419,f490,f485,f479])).
% 180.16/26.09 thf(f502,plain,(
% 180.16/26.09 (c_setsum = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Union @ ((^[Y4 : $i]: ((^[Y5 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: (c_Eps_i @ (^[Y10 : $i]: ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => Y13) => ((Y12 => Y13) => Y13))))))) @ ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => (Y12 => Y13)) => Y13)))))) @ Y7 @ (Y8 = Y10)) @ ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => (Y12 => Y13)) => Y13)))))) @ ((^[Y11 : $o]: (Y11 => c_False)) @ Y7) @ (Y9 = Y10)))))))))) @ (c_In @ c_Empty @ Y6) @ Y4 @ Y5)))))) @ Y2 @ Y3))))) @ (c_Repl @ Y0 @ (^[Y2 : $i]: ((^[Y3 : $i]: (c_Repl @ Y3 @ (^[Y4 : $i]: ((^[Y5 : $i > ($i > $i) > $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: ((^[Y8 : $i > ($i > $i) > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ ($i > $i > $o) @ (^[Y11 : $i > $i > $o]: ((!! @ $i @ (^[Y12 : $i]: (!! @ ($i > $i) @ (^[Y13 : $i > $i]: ((!! @ $i @ (^[Y14 : $i]: ((c_In @ Y14 @ Y12) => (Y11 @ Y14 @ (Y13 @ Y14))))) => (Y11 @ Y12 @ (Y8 @ Y12 @ Y13))))))) => (Y11 @ Y9 @ Y10))))))))) @ Y5 @ Y6 @ Y7)))))) @ (^[Y5 : $i]: ((^[Y6 : $i > $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Union @ ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $i]: ((^[Y14 : $i]: (c_Eps_i @ (^[Y15 : $i]: ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => Y18) => ((Y17 => Y18) => Y18))))))) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ Y12 @ (Y13 = Y15)) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ ((^[Y16 : $o]: (Y16 => c_False)) @ Y12) @ (Y14 = Y15)))))))))) @ (c_In @ c_Empty @ Y11) @ Y9 @ Y10)))))) @ Y7 @ Y8))))) @ ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y10 : $i]: ((^[Y11 : $o]: ((^[Y12 : $i]: ((^[Y13 : $i]: (c_Eps_i @ (^[Y14 : $i]: ((^[Y15 : $o]: ((^[Y16 : $o]: (!! @ $o @ (^[Y17 : $o]: ((Y15 => Y17) => ((Y16 => Y17) => Y17))))))) @ ((^[Y15 : $o]: ((^[Y16 : $o]: (!! @ $o @ (^[Y17 : $o]: ((Y15 => (Y16 => Y17)) => Y17)))))) @ Y11 @ (Y12 = Y14)) @ ((^[Y15 : $o]: ((^[Y16 : $o]: (!! @ $o @ (^[Y17 : $o]: ((Y15 => (Y16 => Y17)) => Y17)))))) @ ((^[Y15 : $o]: (Y15 => c_False)) @ Y11) @ (Y13 = Y14)))))))))) @ (c_In @ c_Empty @ Y10) @ Y8 @ Y9)))))) @ Y7 @ Y7)) @ c_Empty) @ (c_Repl @ Y5 @ (^[Y7 : $i]: (Y6 @ Y7))))))) @ Y4)))) @ Y2))) @ (c_Repl @ Y1 @ (^[Y2 : $i]: ((^[Y3 : $i > ($i > $i) > $i]: ((^[Y4 : $i]: (c_Eps_i @ (^[Y5 : $i]: ((^[Y6 : $i > ($i > $i) > $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (!! @ ($i > $i > $o) @ (^[Y9 : $i > $i > $o]: ((!! @ $i @ (^[Y10 : $i]: (!! @ ($i > $i) @ (^[Y11 : $i > $i]: ((!! @ $i @ (^[Y12 : $i]: ((c_In @ Y12 @ Y10) => (Y9 @ Y12 @ (Y11 @ Y12))))) => (Y9 @ Y10 @ (Y6 @ Y10 @ Y11))))))) => (Y9 @ Y7 @ Y8))))))))) @ Y3 @ Y4 @ Y5)))))) @ (^[Y3 : $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Union @ ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Eps_i @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => Y16) => ((Y15 => Y16) => Y16))))))) @ ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ Y10 @ (Y11 = Y13)) @ ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ ((^[Y14 : $o]: (Y14 => c_False)) @ Y10) @ (Y12 = Y13)))))))))) @ (c_In @ c_Empty @ Y9) @ Y7 @ Y8)))))) @ Y5 @ Y6))))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => Y15) => ((Y14 => Y15) => Y15))))))) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ Y9 @ (Y10 = Y12)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ ((^[Y13 : $o]: (Y13 => c_False)) @ Y9) @ (Y11 = Y12)))))))))) @ (c_In @ c_Empty @ Y8) @ Y6 @ Y7)))))) @ Y5 @ Y5)) @ c_Empty) @ (c_Repl @ Y3 @ (^[Y5 : $i]: (Y4 @ Y5))))))) @ Y2))))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f339,f480,f499,f498])).
% 180.16/26.09 thf(f504,plain,(
% 180.16/26.09 (c_proj1 = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $i]: (c_Repl @ ((^[Y4 : $i]: ((^[Y5 : $i > $o]: ((^[Y6 : $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => Y12) => ((Y11 => Y12) => Y12))))))) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ Y6 @ (Y7 = Y9)) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ ((^[Y10 : $o]: (Y10 => c_False)) @ Y6) @ (Y8 = Y9)))))))))) @ (?? @ $i @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ (c_In @ Y6 @ Y4) @ (Y5 @ Y6)))) @ (c_Repl @ Y4 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Eps_i @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => Y14) => ((Y13 => Y14) => Y14))))))) @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ Y8 @ (Y9 = Y11)) @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ ((^[Y12 : $o]: (Y12 => c_False)) @ Y8) @ (Y10 = Y11)))))))))) @ (Y5 @ Y7) @ Y7 @ (c_Eps_i @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ (c_In @ Y8 @ Y4) @ (Y5 @ Y8)))))) @ Y6))) @ c_Empty)))) @ Y1 @ (^[Y4 : $i]: (Y2 @ Y4))) @ (^[Y4 : $i]: (Y3 @ Y4)))))))) @ Y0 @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (((^[Y3 : $i > ($i > $i) > $i]: ((^[Y4 : $i]: (c_Eps_i @ (^[Y5 : $i]: ((^[Y6 : $i > ($i > $i) > $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (!! @ ($i > $i > $o) @ (^[Y9 : $i > $i > $o]: ((!! @ $i @ (^[Y10 : $i]: (!! @ ($i > $i) @ (^[Y11 : $i > $i]: ((!! @ $i @ (^[Y12 : $i]: ((c_In @ Y12 @ Y10) => (Y9 @ Y12 @ (Y11 @ Y12))))) => (Y9 @ Y10 @ (Y6 @ Y10 @ Y11))))))) => (Y9 @ Y7 @ Y8))))))))) @ Y3 @ Y4 @ Y5)))))) @ (^[Y3 : $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Union @ ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Eps_i @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => Y16) => ((Y15 => Y16) => Y16))))))) @ ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ Y10 @ (Y11 = Y13)) @ ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ ((^[Y14 : $o]: (Y14 => c_False)) @ Y10) @ (Y12 = Y13)))))))))) @ (c_In @ c_Empty @ Y9) @ Y7 @ Y8)))))) @ Y5 @ Y6))))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => Y15) => ((Y14 => Y15) => Y15))))))) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ Y9 @ (Y10 = Y12)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ ((^[Y13 : $o]: (Y13 => c_False)) @ Y9) @ (Y11 = Y12)))))))))) @ (c_In @ c_Empty @ Y8) @ Y6 @ Y7)))))) @ Y5 @ Y5)) @ c_Empty) @ (c_Repl @ Y3 @ (^[Y5 : $i]: (Y4 @ Y5))))))) @ Y2) = Y1)))) @ (^[Y1 : $i]: ((^[Y2 : $i > ($i > $i) > $i]: ((^[Y3 : $i]: (c_Eps_i @ (^[Y4 : $i]: ((^[Y5 : $i > ($i > $i) > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (!! @ ($i > $i > $o) @ (^[Y8 : $i > $i > $o]: ((!! @ $i @ (^[Y9 : $i]: (!! @ ($i > $i) @ (^[Y10 : $i > $i]: ((!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y9) => (Y8 @ Y11 @ (Y10 @ Y11))))) => (Y8 @ Y9 @ (Y5 @ Y9 @ Y10))))))) => (Y8 @ Y6 @ Y7))))))))) @ Y2 @ Y3 @ Y4)))))) @ (^[Y2 : $i]: ((^[Y3 : $i > $i]: (c_Repl @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i > $o]: ((^[Y8 : $o]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Eps_i @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => Y14) => ((Y13 => Y14) => Y14))))))) @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ Y8 @ (Y9 = Y11)) @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ ((^[Y12 : $o]: (Y12 => c_False)) @ Y8) @ (Y10 = Y11)))))))))) @ (?? @ $i @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ (c_In @ Y8 @ Y6) @ (Y7 @ Y8)))) @ (c_Repl @ Y6 @ (^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Eps_i @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => Y16) => ((Y15 => Y16) => Y16))))))) @ ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ Y10 @ (Y11 = Y13)) @ ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ ((^[Y14 : $o]: (Y14 => c_False)) @ Y10) @ (Y12 = Y13)))))))))) @ (Y7 @ Y9) @ Y9 @ (c_Eps_i @ (^[Y10 : $i]: ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => (Y12 => Y13)) => Y13)))))) @ (c_In @ Y10 @ Y6) @ (Y7 @ Y10)))))) @ Y8))) @ c_Empty)))) @ Y4 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $o]: (Y9 => c_False)) @ (c_In @ Y7 @ Y8))))) @ Y6 @ Y5)))))) @ Y2 @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Eps_i @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => Y14) => ((Y13 => Y14) => Y14))))))) @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ Y8 @ (Y9 = Y11)) @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ ((^[Y12 : $o]: (Y12 => c_False)) @ Y8) @ (Y10 = Y11)))))))))) @ (c_In @ c_Empty @ Y7) @ Y5 @ Y6)))))) @ Y4 @ Y4)) @ c_Empty)) @ (^[Y4 : $i]: (Y3 @ Y4)))))) @ Y1)))))),
% 180.16/26.09 inference(definition_unfolding,[],[f369,f483,f498,f500])).
% 180.16/26.09 thf(f505,plain,(
% 180.16/26.09 (c_binrep = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (c_Union @ ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => Y15) => ((Y14 => Y15) => Y15))))))) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ Y9 @ (Y10 = Y12)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ ((^[Y13 : $o]: (Y13 => c_False)) @ Y9) @ (Y11 = Y12)))))))))) @ (c_In @ c_Empty @ Y8) @ Y6 @ Y7)))))) @ Y4 @ Y5))))) @ (c_Repl @ Y2 @ (^[Y4 : $i]: ((^[Y5 : $i]: (c_Repl @ Y5 @ (^[Y6 : $i]: ((^[Y7 : $i > ($i > $i) > $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: ((^[Y10 : $i > ($i > $i) > $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (!! @ ($i > $i > $o) @ (^[Y13 : $i > $i > $o]: ((!! @ $i @ (^[Y14 : $i]: (!! @ ($i > $i) @ (^[Y15 : $i > $i]: ((!! @ $i @ (^[Y16 : $i]: ((c_In @ Y16 @ Y14) => (Y13 @ Y16 @ (Y15 @ Y16))))) => (Y13 @ Y14 @ (Y10 @ Y14 @ Y15))))))) => (Y13 @ Y11 @ Y12))))))))) @ Y7 @ Y8 @ Y9)))))) @ (^[Y7 : $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Union @ ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $i]: ((^[Y16 : $i]: (c_Eps_i @ (^[Y17 : $i]: ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => Y20) => ((Y19 => Y20) => Y20))))))) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ Y14 @ (Y15 = Y17)) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ ((^[Y18 : $o]: (Y18 => c_False)) @ Y14) @ (Y16 = Y17)))))))))) @ (c_In @ c_Empty @ Y13) @ Y11 @ Y12)))))) @ Y9 @ Y10))))) @ ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $i]: ((^[Y15 : $i]: (c_Eps_i @ (^[Y16 : $i]: ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => Y19) => ((Y18 => Y19) => Y19))))))) @ ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => (Y18 => Y19)) => Y19)))))) @ Y13 @ (Y14 = Y16)) @ ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => (Y18 => Y19)) => Y19)))))) @ ((^[Y17 : $o]: (Y17 => c_False)) @ Y13) @ (Y15 = Y16)))))))))) @ (c_In @ c_Empty @ Y12) @ Y10 @ Y11)))))) @ Y9 @ Y9)) @ c_Empty) @ (c_Repl @ Y7 @ (^[Y9 : $i]: (Y8 @ Y9))))))) @ Y6)))) @ Y4))) @ (c_Repl @ Y3 @ (^[Y4 : $i]: ((^[Y5 : $i > ($i > $i) > $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: ((^[Y8 : $i > ($i > $i) > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ ($i > $i > $o) @ (^[Y11 : $i > $i > $o]: ((!! @ $i @ (^[Y12 : $i]: (!! @ ($i > $i) @ (^[Y13 : $i > $i]: ((!! @ $i @ (^[Y14 : $i]: ((c_In @ Y14 @ Y12) => (Y11 @ Y14 @ (Y13 @ Y14))))) => (Y11 @ Y12 @ (Y8 @ Y12 @ Y13))))))) => (Y11 @ Y9 @ Y10))))))))) @ Y5 @ Y6 @ Y7)))))) @ (^[Y5 : $i]: ((^[Y6 : $i > $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Union @ ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $i]: ((^[Y14 : $i]: (c_Eps_i @ (^[Y15 : $i]: ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => Y18) => ((Y17 => Y18) => Y18))))))) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ Y12 @ (Y13 = Y15)) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ ((^[Y16 : $o]: (Y16 => c_False)) @ Y12) @ (Y14 = Y15)))))))))) @ (c_In @ c_Empty @ Y11) @ Y9 @ Y10)))))) @ Y7 @ Y8))))) @ ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y10 : $i]: ((^[Y11 : $o]: ((^[Y12 : $i]: ((^[Y13 : $i]: (c_Eps_i @ (^[Y14 : $i]: ((^[Y15 : $o]: ((^[Y16 : $o]: (!! @ $o @ (^[Y17 : $o]: ((Y15 => Y17) => ((Y16 => Y17) => Y17))))))) @ ((^[Y15 : $o]: ((^[Y16 : $o]: (!! @ $o @ (^[Y17 : $o]: ((Y15 => (Y16 => Y17)) => Y17)))))) @ Y11 @ (Y12 = Y14)) @ ((^[Y15 : $o]: ((^[Y16 : $o]: (!! @ $o @ (^[Y17 : $o]: ((Y15 => (Y16 => Y17)) => Y17)))))) @ ((^[Y15 : $o]: (Y15 => c_False)) @ Y11) @ (Y13 = Y14)))))))))) @ (c_In @ c_Empty @ Y10) @ Y8 @ Y9)))))) @ Y7 @ Y7)) @ c_Empty) @ (c_Repl @ Y5 @ (^[Y7 : $i]: (Y6 @ Y7))))))) @ Y4))))))) @ Y0 @ (c_Power @ Y1))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f435,f502])).
% 180.16/26.09 thf(f506,plain,(
% 180.16/26.09 (c_lam = (^[Y0 : $i]: ((^[Y1 : $i > $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $i]: (c_Union @ (c_Repl @ Y2 @ (^[Y4 : $i]: (Y3 @ Y4))))))) @ Y0 @ (^[Y2 : $i]: (c_Repl @ (Y1 @ Y2) @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Union @ ((^[Y8 : $i]: ((^[Y9 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y10 : $i]: ((^[Y11 : $o]: ((^[Y12 : $i]: ((^[Y13 : $i]: (c_Eps_i @ (^[Y14 : $i]: ((^[Y15 : $o]: ((^[Y16 : $o]: (!! @ $o @ (^[Y17 : $o]: ((Y15 => Y17) => ((Y16 => Y17) => Y17))))))) @ ((^[Y15 : $o]: ((^[Y16 : $o]: (!! @ $o @ (^[Y17 : $o]: ((Y15 => (Y16 => Y17)) => Y17)))))) @ Y11 @ (Y12 = Y14)) @ ((^[Y15 : $o]: ((^[Y16 : $o]: (!! @ $o @ (^[Y17 : $o]: ((Y15 => (Y16 => Y17)) => Y17)))))) @ ((^[Y15 : $o]: (Y15 => c_False)) @ Y11) @ (Y13 = Y14)))))))))) @ (c_In @ c_Empty @ Y10) @ Y8 @ Y9)))))) @ Y6 @ Y7))))) @ (c_Repl @ Y4 @ (^[Y6 : $i]: ((^[Y7 : $i]: (c_Repl @ Y7 @ (^[Y8 : $i]: ((^[Y9 : $i > ($i > $i) > $i]: ((^[Y10 : $i]: (c_Eps_i @ (^[Y11 : $i]: ((^[Y12 : $i > ($i > $i) > $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: (!! @ ($i > $i > $o) @ (^[Y15 : $i > $i > $o]: ((!! @ $i @ (^[Y16 : $i]: (!! @ ($i > $i) @ (^[Y17 : $i > $i]: ((!! @ $i @ (^[Y18 : $i]: ((c_In @ Y18 @ Y16) => (Y15 @ Y18 @ (Y17 @ Y18))))) => (Y15 @ Y16 @ (Y12 @ Y16 @ Y17))))))) => (Y15 @ Y13 @ Y14))))))))) @ Y9 @ Y10 @ Y11)))))) @ (^[Y9 : $i]: ((^[Y10 : $i > $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Union @ ((^[Y13 : $i]: ((^[Y14 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y15 : $i]: ((^[Y16 : $o]: ((^[Y17 : $i]: ((^[Y18 : $i]: (c_Eps_i @ (^[Y19 : $i]: ((^[Y20 : $o]: ((^[Y21 : $o]: (!! @ $o @ (^[Y22 : $o]: ((Y20 => Y22) => ((Y21 => Y22) => Y22))))))) @ ((^[Y20 : $o]: ((^[Y21 : $o]: (!! @ $o @ (^[Y22 : $o]: ((Y20 => (Y21 => Y22)) => Y22)))))) @ Y16 @ (Y17 = Y19)) @ ((^[Y20 : $o]: ((^[Y21 : $o]: (!! @ $o @ (^[Y22 : $o]: ((Y20 => (Y21 => Y22)) => Y22)))))) @ ((^[Y20 : $o]: (Y20 => c_False)) @ Y16) @ (Y18 = Y19)))))))))) @ (c_In @ c_Empty @ Y15) @ Y13 @ Y14)))))) @ Y11 @ Y12))))) @ ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y14 : $i]: ((^[Y15 : $o]: ((^[Y16 : $i]: ((^[Y17 : $i]: (c_Eps_i @ (^[Y18 : $i]: ((^[Y19 : $o]: ((^[Y20 : $o]: (!! @ $o @ (^[Y21 : $o]: ((Y19 => Y21) => ((Y20 => Y21) => Y21))))))) @ ((^[Y19 : $o]: ((^[Y20 : $o]: (!! @ $o @ (^[Y21 : $o]: ((Y19 => (Y20 => Y21)) => Y21)))))) @ Y15 @ (Y16 = Y18)) @ ((^[Y19 : $o]: ((^[Y20 : $o]: (!! @ $o @ (^[Y21 : $o]: ((Y19 => (Y20 => Y21)) => Y21)))))) @ ((^[Y19 : $o]: (Y19 => c_False)) @ Y15) @ (Y17 = Y18)))))))))) @ (c_In @ c_Empty @ Y14) @ Y12 @ Y13)))))) @ Y11 @ Y11)) @ c_Empty) @ (c_Repl @ Y9 @ (^[Y11 : $i]: (Y10 @ Y11))))))) @ Y8)))) @ Y6))) @ (c_Repl @ Y5 @ (^[Y6 : $i]: ((^[Y7 : $i > ($i > $i) > $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: ((^[Y10 : $i > ($i > $i) > $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (!! @ ($i > $i > $o) @ (^[Y13 : $i > $i > $o]: ((!! @ $i @ (^[Y14 : $i]: (!! @ ($i > $i) @ (^[Y15 : $i > $i]: ((!! @ $i @ (^[Y16 : $i]: ((c_In @ Y16 @ Y14) => (Y13 @ Y16 @ (Y15 @ Y16))))) => (Y13 @ Y14 @ (Y10 @ Y14 @ Y15))))))) => (Y13 @ Y11 @ Y12))))))))) @ Y7 @ Y8 @ Y9)))))) @ (^[Y7 : $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Union @ ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $i]: ((^[Y16 : $i]: (c_Eps_i @ (^[Y17 : $i]: ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => Y20) => ((Y19 => Y20) => Y20))))))) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ Y14 @ (Y15 = Y17)) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ ((^[Y18 : $o]: (Y18 => c_False)) @ Y14) @ (Y16 = Y17)))))))))) @ (c_In @ c_Empty @ Y13) @ Y11 @ Y12)))))) @ Y9 @ Y10))))) @ ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $i]: ((^[Y15 : $i]: (c_Eps_i @ (^[Y16 : $i]: ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => Y19) => ((Y18 => Y19) => Y19))))))) @ ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => (Y18 => Y19)) => Y19)))))) @ Y13 @ (Y14 = Y16)) @ ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => (Y18 => Y19)) => Y19)))))) @ ((^[Y17 : $o]: (Y17 => c_False)) @ Y13) @ (Y15 = Y16)))))))))) @ (c_In @ c_Empty @ Y12) @ Y10 @ Y11)))))) @ Y9 @ Y9)) @ c_Empty) @ (c_Repl @ Y7 @ (^[Y9 : $i]: (Y8 @ Y9))))))) @ Y6))))))) @ Y2 @ Y3)))))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f346,f378,f502])).
% 180.16/26.09 thf(f508,plain,(
% 180.16/26.09 (c_ap = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i]: (c_Repl @ ((^[Y5 : $i]: ((^[Y6 : $i > $o]: ((^[Y7 : $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: (c_Eps_i @ (^[Y10 : $i]: ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => Y13) => ((Y12 => Y13) => Y13))))))) @ ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => (Y12 => Y13)) => Y13)))))) @ Y7 @ (Y8 = Y10)) @ ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => (Y12 => Y13)) => Y13)))))) @ ((^[Y11 : $o]: (Y11 => c_False)) @ Y7) @ (Y9 = Y10)))))))))) @ (?? @ $i @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ (c_In @ Y7 @ Y5) @ (Y6 @ Y7)))) @ (c_Repl @ Y5 @ (^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => Y15) => ((Y14 => Y15) => Y15))))))) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ Y9 @ (Y10 = Y12)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ ((^[Y13 : $o]: (Y13 => c_False)) @ Y9) @ (Y11 = Y12)))))))))) @ (Y6 @ Y8) @ Y8 @ (c_Eps_i @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ (c_In @ Y9 @ Y5) @ (Y6 @ Y9)))))) @ Y7))) @ c_Empty)))) @ Y2 @ (^[Y5 : $i]: (Y3 @ Y5))) @ (^[Y5 : $i]: (Y4 @ Y5)))))))) @ Y0 @ (^[Y2 : $i]: (?? 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@ $i @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ (c_In @ Y9 @ Y7) @ (Y8 @ Y9)))) @ (c_Repl @ Y7 @ (^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $o]: ((^[Y12 : $i]: ((^[Y13 : $i]: (c_Eps_i @ (^[Y14 : $i]: ((^[Y15 : $o]: ((^[Y16 : $o]: (!! @ $o @ (^[Y17 : $o]: ((Y15 => Y17) => ((Y16 => Y17) => Y17))))))) @ ((^[Y15 : $o]: ((^[Y16 : $o]: (!! @ $o @ (^[Y17 : $o]: ((Y15 => (Y16 => Y17)) => Y17)))))) @ Y11 @ (Y12 = Y14)) @ ((^[Y15 : $o]: ((^[Y16 : $o]: (!! @ $o @ (^[Y17 : $o]: ((Y15 => (Y16 => Y17)) => Y17)))))) @ ((^[Y15 : $o]: (Y15 => c_False)) @ Y11) @ (Y13 = Y14)))))))))) @ (Y8 @ Y10) @ Y10 @ (c_Eps_i @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ (c_In @ Y11 @ Y7) @ (Y8 @ Y11)))))) @ Y9))) @ c_Empty)))) @ Y4 @ (^[Y7 : $i]: (Y5 @ Y7))) @ (^[Y7 : $i]: (Y6 @ Y7)))))))) @ Y3 @ (^[Y4 : $i]: (?? @ $i @ (^[Y5 : $i]: (((^[Y6 : $i > ($i > $i) > $i]: ((^[Y7 : $i]: (c_Eps_i @ (^[Y8 : $i]: ((^[Y9 : $i > ($i > $i) > $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (!! @ ($i > $i > $o) @ (^[Y12 : $i > $i > $o]: ((!! @ $i @ (^[Y13 : $i]: (!! @ ($i > $i) @ (^[Y14 : $i > $i]: ((!! @ $i @ (^[Y15 : $i]: ((c_In @ Y15 @ Y13) => (Y12 @ Y15 @ (Y14 @ Y15))))) => (Y12 @ Y13 @ (Y9 @ Y13 @ Y14))))))) => (Y12 @ Y10 @ Y11))))))))) @ Y6 @ Y7 @ Y8)))))) @ (^[Y6 : $i]: ((^[Y7 : $i > $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (c_Union @ ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $i]: ((^[Y15 : $i]: (c_Eps_i @ (^[Y16 : $i]: ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => Y19) => ((Y18 => Y19) => Y19))))))) @ ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => (Y18 => Y19)) => Y19)))))) @ Y13 @ (Y14 = Y16)) @ ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => (Y18 => Y19)) => Y19)))))) @ ((^[Y17 : $o]: (Y17 => c_False)) @ Y13) @ (Y15 = Y16)))))))))) @ (c_In @ c_Empty @ Y12) @ Y10 @ Y11)))))) @ Y8 @ Y9))))) @ ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $i]: ((^[Y14 : $i]: (c_Eps_i @ (^[Y15 : $i]: ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => Y18) => ((Y17 => Y18) => Y18))))))) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ Y12 @ (Y13 = Y15)) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ ((^[Y16 : $o]: (Y16 => c_False)) @ Y12) @ (Y14 = Y15)))))))))) @ (c_In @ c_Empty @ Y11) @ Y9 @ Y10)))))) @ Y8 @ Y8)) @ c_Empty) @ (c_Repl @ Y6 @ (^[Y8 : $i]: (Y7 @ Y8))))))) @ Y5) = Y4)))) @ (^[Y4 : $i]: ((^[Y5 : $i > ($i > $i) > $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: ((^[Y8 : $i > ($i > $i) > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ ($i > $i > $o) @ (^[Y11 : $i > $i > $o]: ((!! @ $i @ (^[Y12 : $i]: (!! @ ($i > $i) @ (^[Y13 : $i > $i]: ((!! @ $i @ (^[Y14 : $i]: ((c_In @ Y14 @ Y12) => (Y11 @ Y14 @ (Y13 @ Y14))))) => (Y11 @ Y12 @ (Y8 @ Y12 @ Y13))))))) => (Y11 @ Y9 @ Y10))))))))) @ Y5 @ Y6 @ Y7)))))) @ (^[Y5 : $i]: ((^[Y6 : $i > $i]: (c_Repl @ ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i > $o]: ((^[Y11 : $o]: ((^[Y12 : $i]: ((^[Y13 : $i]: (c_Eps_i @ (^[Y14 : $i]: ((^[Y15 : $o]: ((^[Y16 : $o]: (!! @ $o @ (^[Y17 : $o]: ((Y15 => Y17) => ((Y16 => Y17) => Y17))))))) @ ((^[Y15 : $o]: ((^[Y16 : $o]: (!! @ $o @ (^[Y17 : $o]: ((Y15 => (Y16 => Y17)) => Y17)))))) @ Y11 @ (Y12 = Y14)) @ ((^[Y15 : $o]: ((^[Y16 : $o]: (!! @ $o @ (^[Y17 : $o]: ((Y15 => (Y16 => Y17)) => Y17)))))) @ ((^[Y15 : $o]: (Y15 => c_False)) @ Y11) @ (Y13 = Y14)))))))))) @ (?? 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% 180.16/26.09 inference(definition_unfolding,[],[f444,f483,f502,f504])).
% 180.16/26.09 thf(f511,plain,(
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% 180.16/26.09 inference(definition_unfolding,[],[f438,f482,f506,f508])).
% 180.16/26.09 thf(f512,plain,(
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% 180.16/26.09 inference(definition_unfolding,[],[f413,f511])).
% 180.16/26.09 thf(f522,plain,(
% 180.16/26.09 (c_SNoElts_ = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Union @ ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => Y12) => ((Y11 => Y12) => Y12))))))) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ Y6 @ (Y7 = Y9)) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ ((^[Y10 : $o]: (Y10 => c_False)) @ Y6) @ (Y8 = Y9)))))))))) @ (c_In @ c_Empty @ Y5) @ Y3 @ Y4)))))) @ Y1 @ Y2))))) @ Y0 @ (c_Repl @ Y0 @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Union @ ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Eps_i @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => Y16) => ((Y15 => Y16) => Y16))))))) @ ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ Y10 @ (Y11 = Y13)) @ ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ ((^[Y14 : $o]: (Y14 => c_False)) @ Y10) @ (Y12 = Y13)))))))))) @ (c_In @ c_Empty @ Y9) @ Y7 @ Y8)))))) @ Y5 @ Y6))))) @ Y3 @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => Y15) => ((Y14 => Y15) => Y15))))))) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ Y9 @ (Y10 = Y12)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ ((^[Y13 : $o]: (Y13 => c_False)) @ Y9) @ (Y11 = Y12)))))))))) @ (c_In @ c_Empty @ Y8) @ Y6 @ Y7)))))) @ Y5 @ Y5)) @ Y4))))) @ Y2 @ ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: (c_Eps_i @ (^[Y10 : $i]: ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => Y13) => ((Y12 => Y13) => Y13))))))) @ ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => (Y12 => Y13)) => Y13)))))) @ Y7 @ (Y8 = Y10)) @ ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => (Y12 => Y13)) => Y13)))))) @ ((^[Y11 : $o]: (Y11 => c_False)) @ Y7) @ (Y9 = Y10)))))))))) @ (c_In @ c_Empty @ Y6) @ Y4 @ Y5)))))) @ Y3 @ Y3)) @ ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (c_Union @ ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => Y15) => ((Y14 => Y15) => Y15))))))) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ Y9 @ (Y10 = Y12)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ ((^[Y13 : $o]: (Y13 => c_False)) @ Y9) @ (Y11 = Y12)))))))))) @ (c_In @ c_Empty @ Y8) @ Y6 @ Y7)))))) @ Y4 @ Y5))))) @ Y3 @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Eps_i @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => Y14) => ((Y13 => Y14) => Y14))))))) @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ Y8 @ (Y9 = Y11)) @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ ((^[Y12 : $o]: (Y12 => c_False)) @ Y8) @ (Y10 = Y11)))))))))) @ (c_In @ c_Empty @ Y7) @ Y5 @ Y6)))))) @ Y4 @ Y4)) @ Y3))) @ c_Empty)))) @ Y1))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f429,f480,f481,f479,f491])).
% 180.16/26.09 thf(f523,plain,(
% 180.16/26.09 (c_SNo_ = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y3))))))) @ Y1 @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Union @ ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Eps_i @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => Y14) => ((Y13 => Y14) => Y14))))))) @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ Y8 @ (Y9 = Y11)) @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ ((^[Y12 : $o]: (Y12 => c_False)) @ Y8) @ (Y10 = Y11)))))))))) @ (c_In @ c_Empty @ Y7) @ Y5 @ Y6)))))) @ Y3 @ Y4))))) @ Y2 @ (c_Repl @ Y2 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Union @ ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $i]: ((^[Y14 : $i]: (c_Eps_i @ (^[Y15 : $i]: ((^[Y16 : $o]: ((^[Y17 : $o]: (!! 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@ $o @ (^[Y14 : $o]: ((Y12 => Y14) => ((Y13 => Y14) => Y14))))))) @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ Y8 @ (Y9 = Y11)) @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ ((^[Y12 : $o]: (Y12 => c_False)) @ Y8) @ (Y10 = Y11)))))))))) @ (c_In @ c_Empty @ Y7) @ Y5 @ Y6)))))) @ Y4 @ Y4)) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Union @ ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Eps_i @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => Y16) => ((Y15 => Y16) => Y16))))))) @ ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ Y10 @ (Y11 = Y13)) @ ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ ((^[Y14 : $o]: (Y14 => c_False)) @ Y10) @ (Y12 = Y13)))))))))) @ (c_In @ c_Empty @ Y9) @ Y7 @ Y8)))))) @ Y5 @ Y6))))) @ Y4 @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => Y15) => ((Y14 => Y15) => Y15))))))) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ Y9 @ (Y10 = Y12)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ ((^[Y13 : $o]: (Y13 => c_False)) @ Y9) @ (Y11 = Y12)))))))))) @ (c_In @ c_Empty @ Y8) @ Y6 @ Y7)))))) @ Y5 @ Y5)) @ Y4))) @ c_Empty)))) @ Y2) @ Y1) @ (c_In @ Y2 @ Y1))))))))))),
% 180.16/26.09 inference(definition_unfolding,[],[f348,f424,f377,f522,f474,f481,f479,f491])).
% 180.16/26.09 thf(f526,plain,(
% 180.16/26.09 (c_SNoLev = (^[Y0 : $i]: (c_Eps_i @ (^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y3) => ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y4 @ Y3))))) @ Y2) @ (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y2) => ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y4) => ((^[Y6 : $i]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ Y7))))))) @ Y5 @ Y4))))) @ Y3)))))) @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y3 @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Union @ ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Eps_i @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $o]: (!! 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@ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => Y9) => ((Y8 => Y9) => Y9))))))) @ ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ Y5 @ ((^[Y7 : $o]: (Y7 => c_False)) @ Y6)) @ ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $o]: (Y7 => c_False)) @ Y5) @ Y6))))) @ (c_In @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (c_Union @ ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $i]: ((^[Y15 : $i]: (c_Eps_i @ (^[Y16 : $i]: ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => Y19) => ((Y18 => Y19) => Y19))))))) @ ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => (Y18 => Y19)) => Y19)))))) @ Y13 @ (Y14 = Y16)) @ ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => (Y18 => Y19)) => Y19)))))) @ ((^[Y17 : $o]: (Y17 => c_False)) @ Y13) @ (Y15 = Y16)))))))))) @ (c_In @ c_Empty @ Y12) @ Y10 @ Y11)))))) @ Y8 @ Y9))))) @ Y6 @ ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $i]: ((^[Y14 : $i]: (c_Eps_i @ (^[Y15 : $i]: ((^[Y16 : $o]: ((^[Y17 : $o]: (!! 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% 180.16/26.09 inference(definition_unfolding,[],[f382,f424,f496,f523])).
% 180.16/26.09 thf(f537,plain,(
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% 180.16/26.09 thf(f542,plain,(
% 180.16/26.09 ((((^[Y0 : $o]: (Y0 => c_False)) @ (?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty))))) = $true)),
% 180.16/26.09 inference(definition_unfolding,[],[f381,f392])).
% 180.16/26.09 thf(f544,plain,(
% 180.16/26.09 ( ! [X0 : $i,X1 : $i] : (((((^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ (Y0 => Y1) @ (Y1 => Y0))))) @ (c_In @ X0 @ (c_Power @ X1)) @ ((^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ Y1))))))) @ X0 @ X1))) = $true)) )),
% 180.16/26.09 inference(definition_unfolding,[],[f436,f452,f377])).
% 180.16/26.09 thf(f545,definition,(
% 180.16/26.09 (sF9 = ((c_Power @ c_Empty)))),
% 180.16/26.09 introduced(definition,[new_symbols(definition,[sF9])],[function_definition])).
% 180.16/26.09 thf(f546,plain,(
% 180.16/26.09 (((c_Power @ c_Empty)) = sF9)),
% 180.16/26.09 inference(reorient_equations,[],[f545])).
% 180.16/26.09 thf(f547,definition,(
% 180.16/26.09 (sF10 = ((c_Power @ sF9)))),
% 180.16/26.09 introduced(definition,[new_symbols(definition,[sF10])],[function_definition])).
% 180.16/26.09 thf(f548,definition,(
% 180.16/26.09 (sF11 = (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Repl @ sF10 @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => Y10) => ((Y9 => Y10) => Y10))))))) @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ Y4 @ (Y5 = Y7)) @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ ((^[Y8 : $o]: (Y8 => c_False)) @ Y4) @ (Y6 = Y7)))))))))) @ (c_In @ c_Empty @ Y3) @ Y1 @ Y2)))))) @ Y0 @ Y0)) @ c_Empty)))),
% 180.16/26.09 introduced(definition,[new_symbols(definition,[sF11])],[function_definition])).
% 180.16/26.09 thf(f549,plain,(
% 180.16/26.09 ((((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Repl @ sF10 @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => Y10) => ((Y9 => Y10) => Y10))))))) @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ Y4 @ (Y5 = Y7)) @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ ((^[Y8 : $o]: (Y8 => c_False)) @ Y4) @ (Y6 = Y7)))))))))) @ (c_In @ c_Empty @ Y3) @ Y1 @ Y2)))))) @ Y0 @ Y0)) @ c_Empty)) = sF11)),
% 180.16/26.09 inference(reorient_equations,[],[f548])).
% 180.16/26.09 thf(f550,definition,(
% 180.16/26.09 (sF12 = (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Union @ ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Repl @ sF10 @ (^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => Y12) => ((Y11 => Y12) => Y12))))))) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ Y6 @ (Y7 = Y9)) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ ((^[Y10 : $o]: (Y10 => c_False)) @ Y6) @ (Y8 = Y9)))))))))) @ (c_In @ c_Empty @ Y5) @ Y3 @ Y4)))))) @ Y1 @ Y2))))) @ Y0 @ ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Repl @ sF10 @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Eps_i @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => Y11) => ((Y10 => Y11) => Y11))))))) @ ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ Y5 @ (Y6 = Y8)) @ ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ ((^[Y9 : $o]: (Y9 => c_False)) @ Y5) @ (Y7 = Y8)))))))))) @ (c_In @ c_Empty @ Y4) @ Y2 @ Y3)))))) @ Y1 @ Y1)) @ Y0))) @ c_Empty)))),
% 180.16/26.09 introduced(definition,[new_symbols(definition,[sF12])],[function_definition])).
% 180.16/26.09 thf(f551,definition,(
% 180.16/26.09 (sF13 = (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Repl @ sF10 @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => Y10) => ((Y9 => Y10) => Y10))))))) @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ Y4 @ (Y5 = Y7)) @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ ((^[Y8 : $o]: (Y8 => c_False)) @ Y4) @ (Y6 = Y7)))))))))) @ (c_In @ c_Empty @ Y3) @ Y1 @ Y2)))))) @ Y0 @ Y0)) @ sF12)))),
% 180.16/26.09 introduced(definition,[new_symbols(definition,[sF13])],[function_definition])).
% 180.16/26.09 thf(f552,plain,(
% 180.16/26.09 ((((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Repl @ sF10 @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => Y10) => ((Y9 => Y10) => Y10))))))) @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ Y4 @ (Y5 = Y7)) @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ ((^[Y8 : $o]: (Y8 => c_False)) @ Y4) @ (Y6 = Y7)))))))))) @ (c_In @ c_Empty @ Y3) @ Y1 @ Y2)))))) @ Y0 @ Y0)) @ sF12)) = sF13)),
% 180.16/26.09 inference(reorient_equations,[],[f551])).
% 180.16/26.09 thf(f553,definition,(
% 180.16/26.09 (sF14 = (((^[Y0 : $i]: (c_Eps_i @ (^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y3) => ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y4 @ Y3))))) @ Y2) @ (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y2) => ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y4) => ((^[Y6 : $i]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ Y7))))))) @ Y5 @ Y4))))) @ Y3)))))) @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y3 @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Union @ ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Repl @ sF10 @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Eps_i @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => Y16) => ((Y15 => Y16) => Y16))))))) @ ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ Y10 @ (Y11 = Y13)) @ ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ ((^[Y14 : $o]: (Y14 => c_False)) @ Y10) @ (Y12 = Y13)))))))))) @ (c_In @ c_Empty @ Y9) @ Y7 @ Y8)))))) @ Y5 @ Y6))))) @ Y4 @ (c_Repl @ Y4 @ (^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Union @ ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Repl @ sF10 @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $i]: ((^[Y16 : $i]: (c_Eps_i @ (^[Y17 : $i]: ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => Y20) => ((Y19 => Y20) => Y20))))))) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ Y14 @ (Y15 = Y17)) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ ((^[Y18 : $o]: (Y18 => c_False)) @ Y14) @ (Y16 = Y17)))))))))) @ (c_In @ c_Empty @ Y13) @ Y11 @ Y12)))))) @ Y9 @ Y10))))) @ Y7 @ ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Repl @ sF10 @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $i]: ((^[Y15 : $i]: (c_Eps_i @ (^[Y16 : $i]: ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => Y19) => ((Y18 => Y19) => Y19))))))) @ ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => (Y18 => Y19)) => Y19)))))) @ Y13 @ (Y14 = Y16)) @ ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => (Y18 => Y19)) => Y19)))))) @ ((^[Y17 : $o]: (Y17 => c_False)) @ Y13) @ (Y15 = Y16)))))))))) @ (c_In @ c_Empty @ Y12) @ Y10 @ Y11)))))) @ Y9 @ Y9)) @ Y8))))) @ Y6 @ sF13)) @ Y5))))) @ Y2)) @ (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => Y9) => ((Y8 => Y9) => Y9))))))) @ ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ Y5 @ ((^[Y7 : $o]: (Y7 => c_False)) @ Y6)) @ ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $o]: (Y7 => c_False)) @ Y5) @ Y6))))) @ (c_In @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (c_Union @ ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Repl @ sF10 @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $i]: ((^[Y15 : $i]: (c_Eps_i @ (^[Y16 : $i]: ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => Y19) => ((Y18 => Y19) => Y19))))))) @ ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => (Y18 => Y19)) => Y19)))))) @ Y13 @ (Y14 = Y16)) @ ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => (Y18 => Y19)) => Y19)))))) @ ((^[Y17 : $o]: (Y17 => c_False)) @ Y13) @ (Y15 = Y16)))))))))) @ (c_In @ c_Empty @ Y12) @ Y10 @ Y11)))))) @ Y8 @ Y9))))) @ Y6 @ ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Repl @ sF10 @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $i]: ((^[Y14 : $i]: (c_Eps_i @ (^[Y15 : $i]: ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => Y18) => ((Y17 => Y18) => Y18))))))) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ Y12 @ (Y13 = Y15)) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ ((^[Y16 : $o]: (Y16 => c_False)) @ Y12) @ (Y14 = Y15)))))))))) @ (c_In @ c_Empty @ Y11) @ Y9 @ Y10)))))) @ Y8 @ Y8)) @ Y7))))) @ Y5 @ sF13)) @ Y4) @ Y3) @ (c_In @ Y4 @ Y3))))))))) @ Y1 @ Y0))))) @ c_Empty)))),
% 180.16/26.09 introduced(definition,[new_symbols(definition,[sF14])],[function_definition])).
% 180.16/26.09 thf(f554,plain,(
% 180.16/26.09 ((((^[Y0 : $i]: (c_Eps_i @ (^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y3) => ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y4 @ Y3))))) @ Y2) @ (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y2) => ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y4) => ((^[Y6 : $i]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ Y7))))))) @ Y5 @ Y4))))) @ Y3)))))) @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y3 @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Union @ ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Repl @ sF10 @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Eps_i @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => Y16) => ((Y15 => Y16) => Y16))))))) @ ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ Y10 @ (Y11 = Y13)) @ ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ ((^[Y14 : $o]: (Y14 => c_False)) @ Y10) @ (Y12 = Y13)))))))))) @ (c_In @ c_Empty @ Y9) @ Y7 @ Y8)))))) @ Y5 @ Y6))))) @ Y4 @ (c_Repl @ Y4 @ (^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Union @ ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Repl @ sF10 @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $i]: ((^[Y16 : $i]: (c_Eps_i @ (^[Y17 : $i]: ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => Y20) => ((Y19 => Y20) => Y20))))))) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ Y14 @ (Y15 = Y17)) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ ((^[Y18 : $o]: (Y18 => c_False)) @ Y14) @ (Y16 = Y17)))))))))) @ (c_In @ c_Empty @ Y13) @ Y11 @ Y12)))))) @ Y9 @ Y10))))) @ Y7 @ ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Repl @ sF10 @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $i]: ((^[Y15 : $i]: (c_Eps_i @ (^[Y16 : $i]: ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => Y19) => ((Y18 => Y19) => Y19))))))) @ ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => (Y18 => Y19)) => Y19)))))) @ Y13 @ (Y14 = Y16)) @ ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => (Y18 => Y19)) => Y19)))))) @ ((^[Y17 : $o]: (Y17 => c_False)) @ Y13) @ (Y15 = Y16)))))))))) @ (c_In @ c_Empty @ Y12) @ Y10 @ Y11)))))) @ Y9 @ Y9)) @ Y8))))) @ Y6 @ sF13)) @ Y5))))) @ Y2)) @ (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => Y9) => ((Y8 => Y9) => Y9))))))) @ ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ Y5 @ ((^[Y7 : $o]: (Y7 => c_False)) @ Y6)) @ ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $o]: (Y7 => c_False)) @ Y5) @ Y6))))) @ (c_In @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (c_Union @ ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Repl @ sF10 @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $i]: ((^[Y15 : $i]: (c_Eps_i @ (^[Y16 : $i]: ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => Y19) => ((Y18 => Y19) => Y19))))))) @ ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => (Y18 => Y19)) => Y19)))))) @ Y13 @ (Y14 = Y16)) @ ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => (Y18 => Y19)) => Y19)))))) @ ((^[Y17 : $o]: (Y17 => c_False)) @ Y13) @ (Y15 = Y16)))))))))) @ (c_In @ c_Empty @ Y12) @ Y10 @ Y11)))))) @ Y8 @ Y9))))) @ Y6 @ ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Repl @ sF10 @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $i]: ((^[Y14 : $i]: (c_Eps_i @ (^[Y15 : $i]: ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => Y18) => ((Y17 => Y18) => Y18))))))) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ Y12 @ (Y13 = Y15)) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ ((^[Y16 : $o]: (Y16 => c_False)) @ Y12) @ (Y14 = Y15)))))))))) @ (c_In @ c_Empty @ Y11) @ Y9 @ Y10)))))) @ Y8 @ Y8)) @ Y7))))) @ Y5 @ sF13)) @ Y4) @ Y3) @ (c_In @ Y4 @ Y3))))))))) @ Y1 @ Y0))))) @ c_Empty)) = sF14)),
% 180.16/26.09 inference(reorient_equations,[],[f553])).
% 180.16/26.09 thf(f555,definition,(
% 180.16/26.09 (sF15 = (((^[Y0 : $i]: ((^[Y1 : $i > $i]: (c_Union @ (c_Repl @ Y0 @ (^[Y2 : $i]: (Y1 @ Y2))))))) @ sF14 @ (^[Y0 : $i]: (Y0)))))),
% 180.16/26.09 introduced(definition,[new_symbols(definition,[sF15])],[function_definition])).
% 180.16/26.09 thf(f556,definition,(
% 180.16/26.09 (sF16 = (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (c_Union @ ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Repl @ sF10 @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => Y15) => ((Y14 => Y15) => Y15))))))) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ Y9 @ (Y10 = Y12)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ ((^[Y13 : $o]: (Y13 => c_False)) @ Y9) @ (Y11 = Y12)))))))))) @ (c_In @ c_Empty @ Y8) @ Y6 @ Y7)))))) @ Y4 @ Y5))))) @ (c_Repl @ Y2 @ (^[Y4 : $i]: ((^[Y5 : $i]: (c_Repl @ Y5 @ (^[Y6 : $i]: ((^[Y7 : $i > ($i > $i) > $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: ((^[Y10 : $i > ($i > $i) > $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (!! @ ($i > $i > $o) @ (^[Y13 : $i > $i > $o]: ((!! @ $i @ (^[Y14 : $i]: (!! @ ($i > $i) @ (^[Y15 : $i > $i]: ((!! @ $i @ (^[Y16 : $i]: ((c_In @ Y16 @ Y14) => (Y13 @ Y16 @ (Y15 @ Y16))))) => (Y13 @ Y14 @ (Y10 @ Y14 @ Y15))))))) => (Y13 @ Y11 @ Y12))))))))) @ Y7 @ Y8 @ Y9)))))) @ (^[Y7 : $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Union @ ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Repl @ sF10 @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $i]: ((^[Y16 : $i]: (c_Eps_i @ (^[Y17 : $i]: ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => Y20) => ((Y19 => Y20) => Y20))))))) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ Y14 @ (Y15 = Y17)) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ ((^[Y18 : $o]: (Y18 => c_False)) @ Y14) @ (Y16 = Y17)))))))))) @ (c_In @ c_Empty @ Y13) @ Y11 @ Y12)))))) @ Y9 @ Y10))))) @ sF11 @ (c_Repl @ Y7 @ (^[Y9 : $i]: (Y8 @ Y9))))))) @ Y6)))) @ Y4))) @ (c_Repl @ Y3 @ (^[Y4 : $i]: ((^[Y5 : $i > ($i > $i) > $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: ((^[Y8 : $i > ($i > $i) > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ ($i > $i > $o) @ (^[Y11 : $i > $i > $o]: ((!! @ $i @ (^[Y12 : $i]: (!! @ ($i > $i) @ (^[Y13 : $i > $i]: ((!! @ $i @ (^[Y14 : $i]: ((c_In @ Y14 @ Y12) => (Y11 @ Y14 @ (Y13 @ Y14))))) => (Y11 @ Y12 @ (Y8 @ Y12 @ Y13))))))) => (Y11 @ Y9 @ Y10))))))))) @ Y5 @ Y6 @ Y7)))))) @ (^[Y5 : $i]: ((^[Y6 : $i > $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Union @ ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Repl @ sF10 @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $i]: ((^[Y14 : $i]: (c_Eps_i @ (^[Y15 : $i]: ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => Y18) => ((Y17 => Y18) => Y18))))))) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ Y12 @ (Y13 = Y15)) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ ((^[Y16 : $o]: (Y16 => c_False)) @ Y12) @ (Y14 = Y15)))))))))) @ (c_In @ c_Empty @ Y11) @ Y9 @ Y10)))))) @ Y7 @ Y8))))) @ sF11 @ (c_Repl @ Y5 @ (^[Y7 : $i]: (Y6 @ Y7))))))) @ Y4))))))) @ Y0 @ (c_Power @ Y1))))) @ sF10 @ c_Empty)))),
% 180.16/26.09 introduced(definition,[new_symbols(definition,[sF16])],[function_definition])).
% 180.16/26.09 thf(f557,plain,(
% 180.16/26.09 ((((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (c_Union @ ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Repl @ sF10 @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => Y15) => ((Y14 => Y15) => Y15))))))) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ Y9 @ (Y10 = Y12)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ ((^[Y13 : $o]: (Y13 => c_False)) @ Y9) @ (Y11 = Y12)))))))))) @ (c_In @ c_Empty @ Y8) @ Y6 @ Y7)))))) @ Y4 @ Y5))))) @ (c_Repl @ Y2 @ (^[Y4 : $i]: ((^[Y5 : $i]: (c_Repl @ Y5 @ (^[Y6 : $i]: ((^[Y7 : $i > ($i > $i) > $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: ((^[Y10 : $i > ($i > $i) > $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (!! @ ($i > $i > $o) @ (^[Y13 : $i > $i > $o]: ((!! @ $i @ (^[Y14 : $i]: (!! @ ($i > $i) @ (^[Y15 : $i > $i]: ((!! @ $i @ (^[Y16 : $i]: ((c_In @ Y16 @ Y14) => (Y13 @ Y16 @ (Y15 @ Y16))))) => (Y13 @ Y14 @ (Y10 @ Y14 @ Y15))))))) => (Y13 @ Y11 @ Y12))))))))) @ Y7 @ Y8 @ Y9)))))) @ (^[Y7 : $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Union @ ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Repl @ sF10 @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $i]: ((^[Y16 : $i]: (c_Eps_i @ (^[Y17 : $i]: ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => Y20) => ((Y19 => Y20) => Y20))))))) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ Y14 @ (Y15 = Y17)) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ ((^[Y18 : $o]: (Y18 => c_False)) @ Y14) @ (Y16 = Y17)))))))))) @ (c_In @ c_Empty @ Y13) @ Y11 @ Y12)))))) @ Y9 @ Y10))))) @ sF11 @ (c_Repl @ Y7 @ (^[Y9 : $i]: (Y8 @ Y9))))))) @ Y6)))) @ Y4))) @ (c_Repl @ Y3 @ (^[Y4 : $i]: ((^[Y5 : $i > ($i > $i) > $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: ((^[Y8 : $i > ($i > $i) > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ ($i > $i > $o) @ (^[Y11 : $i > $i > $o]: ((!! @ $i @ (^[Y12 : $i]: (!! @ ($i > $i) @ (^[Y13 : $i > $i]: ((!! @ $i @ (^[Y14 : $i]: ((c_In @ Y14 @ Y12) => (Y11 @ Y14 @ (Y13 @ Y14))))) => (Y11 @ Y12 @ (Y8 @ Y12 @ Y13))))))) => (Y11 @ Y9 @ Y10))))))))) @ Y5 @ Y6 @ Y7)))))) @ (^[Y5 : $i]: ((^[Y6 : $i > $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Union @ ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Repl @ sF10 @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $i]: ((^[Y14 : $i]: (c_Eps_i @ (^[Y15 : $i]: ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => Y18) => ((Y17 => Y18) => Y18))))))) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ Y12 @ (Y13 = Y15)) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ ((^[Y16 : $o]: (Y16 => c_False)) @ Y12) @ (Y14 = Y15)))))))))) @ (c_In @ c_Empty @ Y11) @ Y9 @ Y10)))))) @ Y7 @ Y8))))) @ sF11 @ (c_Repl @ Y5 @ (^[Y7 : $i]: (Y6 @ Y7))))))) @ Y4))))))) @ Y0 @ (c_Power @ Y1))))) @ sF10 @ c_Empty)) = sF16)),
% 180.16/26.09 inference(reorient_equations,[],[f556])).
% 180.16/26.09 thf(f558,definition,(
% 180.16/26.09 (sF17 = ((c_Power @ sF16)))),
% 180.16/26.09 introduced(definition,[new_symbols(definition,[sF17])],[function_definition])).
% 180.16/26.09 thf(f559,definition,(
% 180.16/26.09 (sF18 = (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (c_Union @ ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Repl @ sF10 @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => Y15) => ((Y14 => Y15) => Y15))))))) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ Y9 @ (Y10 = Y12)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ ((^[Y13 : $o]: (Y13 => c_False)) @ Y9) @ (Y11 = Y12)))))))))) @ (c_In @ c_Empty @ Y8) @ Y6 @ Y7)))))) @ Y4 @ Y5))))) @ (c_Repl @ Y2 @ (^[Y4 : $i]: ((^[Y5 : $i]: (c_Repl @ Y5 @ (^[Y6 : $i]: ((^[Y7 : $i > ($i > $i) > $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: ((^[Y10 : $i > ($i > $i) > $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (!! @ ($i > $i > $o) @ (^[Y13 : $i > $i > $o]: ((!! @ $i @ (^[Y14 : $i]: (!! @ ($i > $i) @ (^[Y15 : $i > $i]: ((!! @ $i @ (^[Y16 : $i]: ((c_In @ Y16 @ Y14) => (Y13 @ Y16 @ (Y15 @ Y16))))) => (Y13 @ Y14 @ (Y10 @ Y14 @ Y15))))))) => (Y13 @ Y11 @ Y12))))))))) @ Y7 @ Y8 @ Y9)))))) @ (^[Y7 : $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Union @ ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Repl @ sF10 @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $i]: ((^[Y16 : $i]: (c_Eps_i @ (^[Y17 : $i]: ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => Y20) => ((Y19 => Y20) => Y20))))))) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ Y14 @ (Y15 = Y17)) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ ((^[Y18 : $o]: (Y18 => c_False)) @ Y14) @ (Y16 = Y17)))))))))) @ (c_In @ c_Empty @ Y13) @ Y11 @ Y12)))))) @ Y9 @ Y10))))) @ sF11 @ (c_Repl @ Y7 @ (^[Y9 : $i]: (Y8 @ Y9))))))) @ Y6)))) @ Y4))) @ (c_Repl @ Y3 @ (^[Y4 : $i]: ((^[Y5 : $i > ($i > $i) > $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: ((^[Y8 : $i > ($i > $i) > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ ($i > $i > $o) @ (^[Y11 : $i > $i > $o]: ((!! @ $i @ (^[Y12 : $i]: (!! @ ($i > $i) @ (^[Y13 : $i > $i]: ((!! @ $i @ (^[Y14 : $i]: ((c_In @ Y14 @ Y12) => (Y11 @ Y14 @ (Y13 @ Y14))))) => (Y11 @ Y12 @ (Y8 @ Y12 @ Y13))))))) => (Y11 @ Y9 @ Y10))))))))) @ Y5 @ Y6 @ Y7)))))) @ (^[Y5 : $i]: ((^[Y6 : $i > $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Union @ ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Repl @ sF10 @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $i]: ((^[Y14 : $i]: (c_Eps_i @ (^[Y15 : $i]: ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => Y18) => ((Y17 => Y18) => Y18))))))) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ Y12 @ (Y13 = Y15)) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ ((^[Y16 : $o]: (Y16 => c_False)) @ Y12) @ (Y14 = Y15)))))))))) @ (c_In @ c_Empty @ Y11) @ Y9 @ Y10)))))) @ Y7 @ Y8))))) @ sF11 @ (c_Repl @ Y5 @ (^[Y7 : $i]: (Y6 @ Y7))))))) @ Y4))))))) @ Y0 @ (c_Power @ Y1))))) @ sF17 @ sF10)))),
% 180.16/26.09 introduced(definition,[new_symbols(definition,[sF18])],[function_definition])).
% 180.16/26.09 thf(f560,plain,(
% 180.16/26.09 ((((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (c_Union @ ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Repl @ sF10 @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => Y15) => ((Y14 => Y15) => Y15))))))) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ Y9 @ (Y10 = Y12)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ ((^[Y13 : $o]: (Y13 => c_False)) @ Y9) @ (Y11 = Y12)))))))))) @ (c_In @ c_Empty @ Y8) @ Y6 @ Y7)))))) @ Y4 @ Y5))))) @ (c_Repl @ Y2 @ (^[Y4 : $i]: ((^[Y5 : $i]: (c_Repl @ Y5 @ (^[Y6 : $i]: ((^[Y7 : $i > ($i > $i) > $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: ((^[Y10 : $i > ($i > $i) > $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (!! @ ($i > $i > $o) @ (^[Y13 : $i > $i > $o]: ((!! @ $i @ (^[Y14 : $i]: (!! @ ($i > $i) @ (^[Y15 : $i > $i]: ((!! @ $i @ (^[Y16 : $i]: ((c_In @ Y16 @ Y14) => (Y13 @ Y16 @ (Y15 @ Y16))))) => (Y13 @ Y14 @ (Y10 @ Y14 @ Y15))))))) => (Y13 @ Y11 @ Y12))))))))) @ Y7 @ Y8 @ Y9)))))) @ (^[Y7 : $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Union @ ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Repl @ sF10 @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $i]: ((^[Y16 : $i]: (c_Eps_i @ (^[Y17 : $i]: ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => Y20) => ((Y19 => Y20) => Y20))))))) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ Y14 @ (Y15 = Y17)) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ ((^[Y18 : $o]: (Y18 => c_False)) @ Y14) @ (Y16 = Y17)))))))))) @ (c_In @ c_Empty @ Y13) @ Y11 @ Y12)))))) @ Y9 @ Y10))))) @ sF11 @ (c_Repl @ Y7 @ (^[Y9 : $i]: (Y8 @ Y9))))))) @ Y6)))) @ Y4))) @ (c_Repl @ Y3 @ (^[Y4 : $i]: ((^[Y5 : $i > ($i > $i) > $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: ((^[Y8 : $i > ($i > $i) > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ ($i > $i > $o) @ (^[Y11 : $i > $i > $o]: ((!! @ $i @ (^[Y12 : $i]: (!! @ ($i > $i) @ (^[Y13 : $i > $i]: ((!! @ $i @ (^[Y14 : $i]: ((c_In @ Y14 @ Y12) => (Y11 @ Y14 @ (Y13 @ Y14))))) => (Y11 @ Y12 @ (Y8 @ Y12 @ Y13))))))) => (Y11 @ Y9 @ Y10))))))))) @ Y5 @ Y6 @ Y7)))))) @ (^[Y5 : $i]: ((^[Y6 : $i > $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Union @ ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Repl @ sF10 @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $i]: ((^[Y14 : $i]: (c_Eps_i @ (^[Y15 : $i]: ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => Y18) => ((Y17 => Y18) => Y18))))))) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ Y12 @ (Y13 = Y15)) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ ((^[Y16 : $o]: (Y16 => c_False)) @ Y12) @ (Y14 = Y15)))))))))) @ (c_In @ c_Empty @ Y11) @ Y9 @ Y10)))))) @ Y7 @ Y8))))) @ sF11 @ (c_Repl @ Y5 @ (^[Y7 : $i]: (Y6 @ Y7))))))) @ Y4))))))) @ Y0 @ (c_Power @ Y1))))) @ sF17 @ sF10)) = sF18)),
% 180.16/26.09 inference(reorient_equations,[],[f559])).
% 180.16/26.09 thf(f561,definition,(
% 180.16/26.09 (sF19 = (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (c_Union @ ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Repl @ sF10 @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => Y15) => ((Y14 => Y15) => Y15))))))) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ Y9 @ (Y10 = Y12)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ ((^[Y13 : $o]: (Y13 => c_False)) @ Y9) @ (Y11 = Y12)))))))))) @ (c_In @ c_Empty @ Y8) @ Y6 @ Y7)))))) @ Y4 @ Y5))))) @ (c_Repl @ Y2 @ (^[Y4 : $i]: ((^[Y5 : $i]: (c_Repl @ Y5 @ (^[Y6 : $i]: ((^[Y7 : $i > ($i > $i) > $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: ((^[Y10 : $i > ($i > $i) > $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (!! @ ($i > $i > $o) @ (^[Y13 : $i > $i > $o]: ((!! @ $i @ (^[Y14 : $i]: (!! @ ($i > $i) @ (^[Y15 : $i > $i]: ((!! @ $i @ (^[Y16 : $i]: ((c_In @ Y16 @ Y14) => (Y13 @ Y16 @ (Y15 @ Y16))))) => (Y13 @ Y14 @ (Y10 @ Y14 @ Y15))))))) => (Y13 @ Y11 @ Y12))))))))) @ Y7 @ Y8 @ Y9)))))) @ (^[Y7 : $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Union @ ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Repl @ sF10 @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $i]: ((^[Y16 : $i]: (c_Eps_i @ (^[Y17 : $i]: ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => Y20) => ((Y19 => Y20) => Y20))))))) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ Y14 @ (Y15 = Y17)) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ ((^[Y18 : $o]: (Y18 => c_False)) @ Y14) @ (Y16 = Y17)))))))))) @ (c_In @ c_Empty @ Y13) @ Y11 @ Y12)))))) @ Y9 @ Y10))))) @ sF11 @ (c_Repl @ Y7 @ (^[Y9 : $i]: (Y8 @ Y9))))))) @ Y6)))) @ Y4))) @ (c_Repl @ Y3 @ (^[Y4 : $i]: ((^[Y5 : $i > ($i > $i) > $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: ((^[Y8 : $i > ($i > $i) > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ ($i > $i > $o) @ (^[Y11 : $i > $i > $o]: ((!! @ $i @ (^[Y12 : $i]: (!! @ ($i > $i) @ (^[Y13 : $i > $i]: ((!! @ $i @ (^[Y14 : $i]: ((c_In @ Y14 @ Y12) => (Y11 @ Y14 @ (Y13 @ Y14))))) => (Y11 @ Y12 @ (Y8 @ Y12 @ Y13))))))) => (Y11 @ Y9 @ Y10))))))))) @ Y5 @ Y6 @ Y7)))))) @ (^[Y5 : $i]: ((^[Y6 : $i > $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Union @ ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Repl @ sF10 @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $i]: ((^[Y14 : $i]: (c_Eps_i @ (^[Y15 : $i]: ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => Y18) => ((Y17 => Y18) => Y18))))))) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ Y12 @ (Y13 = Y15)) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ ((^[Y16 : $o]: (Y16 => c_False)) @ Y12) @ (Y14 = Y15)))))))))) @ (c_In @ c_Empty @ Y11) @ Y9 @ Y10)))))) @ Y7 @ Y8))))) @ sF11 @ (c_Repl @ Y5 @ (^[Y7 : $i]: (Y6 @ Y7))))))) @ Y4))))))) @ Y0 @ (c_Power @ Y1))))) @ sF18 @ sF9)))),
% 180.16/26.09 introduced(definition,[new_symbols(definition,[sF19])],[function_definition])).
% 180.16/26.09 thf(f562,definition,(
% 180.16/26.09 (sF20 = (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $i]: ((^[Y4 : $i]: ((^[Y5 : $i > $o]: ((^[Y6 : $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => Y12) => ((Y11 => Y12) => Y12))))))) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ Y6 @ (Y7 = Y9)) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ ((^[Y10 : $o]: (Y10 => c_False)) @ Y6) @ (Y8 = Y9)))))))))) @ (?? @ $i @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ (c_In @ Y6 @ Y4) @ (Y5 @ Y6)))) @ (c_Repl @ Y4 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Eps_i @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => Y14) => ((Y13 => Y14) => Y14))))))) @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ Y8 @ (Y9 = Y11)) @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ ((^[Y12 : $o]: (Y12 => c_False)) @ Y8) @ (Y10 = Y11)))))))))) @ (Y5 @ Y7) @ Y7 @ (c_Eps_i @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ (c_In @ Y8 @ Y4) @ (Y5 @ Y8)))))) @ Y6))) @ c_Empty)))) @ (c_Power @ ((^[Y4 : $i]: ((^[Y5 : $i > $i]: ((^[Y6 : $i]: ((^[Y7 : $i > $i]: (c_Union @ (c_Repl @ Y6 @ (^[Y8 : $i]: (Y7 @ Y8))))))) @ Y4 @ (^[Y6 : $i]: (c_Repl @ (Y5 @ Y6) @ (^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Union @ ((^[Y12 : $i]: ((^[Y13 : $i]: (c_Repl @ sF10 @ (^[Y14 : $i]: ((^[Y15 : $o]: ((^[Y16 : $i]: ((^[Y17 : $i]: (c_Eps_i @ (^[Y18 : $i]: ((^[Y19 : $o]: ((^[Y20 : $o]: (!! @ $o @ (^[Y21 : $o]: ((Y19 => Y21) => ((Y20 => Y21) => Y21))))))) @ ((^[Y19 : $o]: ((^[Y20 : $o]: (!! @ $o @ (^[Y21 : $o]: ((Y19 => (Y20 => Y21)) => Y21)))))) @ Y15 @ (Y16 = Y18)) @ ((^[Y19 : $o]: ((^[Y20 : $o]: (!! @ $o @ (^[Y21 : $o]: ((Y19 => (Y20 => Y21)) => Y21)))))) @ ((^[Y19 : $o]: (Y19 => c_False)) @ Y15) @ (Y17 = Y18)))))))))) @ (c_In @ c_Empty @ Y14) @ Y12 @ Y13)))))) @ Y10 @ Y11))))) @ (c_Repl @ Y8 @ (^[Y10 : $i]: ((^[Y11 : $i]: (c_Repl @ Y11 @ (^[Y12 : $i]: ((^[Y13 : $i > ($i > $i) > $i]: ((^[Y14 : $i]: (c_Eps_i @ (^[Y15 : $i]: ((^[Y16 : $i > ($i > $i) > $i]: ((^[Y17 : $i]: ((^[Y18 : $i]: (!! @ ($i > $i > $o) @ (^[Y19 : $i > $i > $o]: ((!! @ $i @ (^[Y20 : $i]: (!! @ ($i > $i) @ (^[Y21 : $i > $i]: ((!! @ $i @ (^[Y22 : $i]: ((c_In @ Y22 @ Y20) => (Y19 @ Y22 @ (Y21 @ Y22))))) => (Y19 @ Y20 @ (Y16 @ Y20 @ Y21))))))) => (Y19 @ Y17 @ Y18))))))))) @ Y13 @ Y14 @ Y15)))))) @ (^[Y13 : $i]: ((^[Y14 : $i > $i]: ((^[Y15 : $i]: ((^[Y16 : $i]: (c_Union @ ((^[Y17 : $i]: ((^[Y18 : $i]: (c_Repl @ sF10 @ (^[Y19 : $i]: ((^[Y20 : $o]: ((^[Y21 : $i]: ((^[Y22 : $i]: (c_Eps_i @ (^[Y23 : $i]: ((^[Y24 : $o]: ((^[Y25 : $o]: (!! @ $o @ (^[Y26 : $o]: ((Y24 => Y26) => ((Y25 => Y26) => Y26))))))) @ ((^[Y24 : $o]: ((^[Y25 : $o]: (!! @ $o @ (^[Y26 : $o]: ((Y24 => (Y25 => Y26)) => Y26)))))) @ Y20 @ (Y21 = Y23)) @ ((^[Y24 : $o]: ((^[Y25 : $o]: (!! @ $o @ (^[Y26 : $o]: ((Y24 => (Y25 => Y26)) => Y26)))))) @ ((^[Y24 : $o]: (Y24 => c_False)) @ Y20) @ (Y22 = Y23)))))))))) @ (c_In @ c_Empty @ Y19) @ Y17 @ Y18)))))) @ Y15 @ Y16))))) @ sF11 @ (c_Repl @ Y13 @ (^[Y15 : $i]: (Y14 @ Y15))))))) @ Y12)))) @ Y10))) @ (c_Repl @ Y9 @ (^[Y10 : $i]: ((^[Y11 : $i > ($i > $i) > $i]: ((^[Y12 : $i]: (c_Eps_i @ (^[Y13 : $i]: ((^[Y14 : $i > ($i > $i) > $i]: ((^[Y15 : $i]: ((^[Y16 : $i]: (!! @ ($i > $i > $o) @ (^[Y17 : $i > $i > $o]: ((!! @ $i @ (^[Y18 : $i]: (!! @ ($i > $i) @ (^[Y19 : $i > $i]: ((!! @ $i @ (^[Y20 : $i]: ((c_In @ Y20 @ Y18) => (Y17 @ Y20 @ (Y19 @ Y20))))) => (Y17 @ Y18 @ (Y14 @ Y18 @ Y19))))))) => (Y17 @ Y15 @ Y16))))))))) @ Y11 @ Y12 @ Y13)))))) @ (^[Y11 : $i]: ((^[Y12 : $i > $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: (c_Union @ ((^[Y15 : $i]: ((^[Y16 : $i]: (c_Repl @ sF10 @ (^[Y17 : $i]: ((^[Y18 : $o]: ((^[Y19 : $i]: ((^[Y20 : $i]: (c_Eps_i @ (^[Y21 : $i]: ((^[Y22 : $o]: ((^[Y23 : $o]: (!! @ $o @ (^[Y24 : $o]: ((Y22 => Y24) => ((Y23 => Y24) => Y24))))))) @ ((^[Y22 : $o]: ((^[Y23 : $o]: (!! @ $o @ (^[Y24 : $o]: ((Y22 => (Y23 => Y24)) => Y24)))))) @ Y18 @ (Y19 = Y21)) @ ((^[Y22 : $o]: ((^[Y23 : $o]: (!! @ $o @ (^[Y24 : $o]: ((Y22 => (Y23 => Y24)) => Y24)))))) @ ((^[Y22 : $o]: (Y22 => c_False)) @ Y18) @ (Y20 = Y21)))))))))) @ (c_In @ c_Empty @ Y17) @ Y15 @ Y16)))))) @ Y13 @ Y14))))) @ sF11 @ (c_Repl @ Y11 @ (^[Y13 : $i]: (Y12 @ Y13))))))) @ Y10))))))) @ Y6 @ Y7)))))))) @ Y2 @ (^[Y4 : $i]: (c_Union @ (Y3 @ Y4))))) @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y2) => (c_In @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i > $o]: ((^[Y10 : $i > $i]: (c_Repl @ ((^[Y11 : $i]: ((^[Y12 : $i > $o]: ((^[Y13 : $o]: ((^[Y14 : $i]: ((^[Y15 : $i]: (c_Eps_i @ (^[Y16 : $i]: ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => Y19) => ((Y18 => Y19) => Y19))))))) @ ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => (Y18 => Y19)) => Y19)))))) @ Y13 @ (Y14 = Y16)) @ ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => (Y18 => Y19)) => Y19)))))) @ ((^[Y17 : $o]: (Y17 => c_False)) @ Y13) @ (Y15 = Y16)))))))))) @ (?? @ $i @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ (c_In @ Y13 @ Y11) @ (Y12 @ Y13)))) @ (c_Repl @ Y11 @ (^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $o]: ((^[Y16 : $i]: ((^[Y17 : $i]: (c_Eps_i @ (^[Y18 : $i]: ((^[Y19 : $o]: ((^[Y20 : $o]: (!! @ $o @ (^[Y21 : $o]: ((Y19 => Y21) => ((Y20 => Y21) => Y21))))))) @ ((^[Y19 : $o]: ((^[Y20 : $o]: (!! @ $o @ (^[Y21 : $o]: ((Y19 => (Y20 => Y21)) => Y21)))))) @ Y15 @ (Y16 = Y18)) @ ((^[Y19 : $o]: ((^[Y20 : $o]: (!! @ $o @ (^[Y21 : $o]: ((Y19 => (Y20 => Y21)) => Y21)))))) @ ((^[Y19 : $o]: (Y19 => c_False)) @ Y15) @ (Y17 = Y18)))))))))) @ (Y12 @ Y14) @ Y14 @ (c_Eps_i @ (^[Y15 : $i]: ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ (c_In @ Y15 @ Y11) @ (Y12 @ Y15)))))) @ Y13))) @ c_Empty)))) @ Y8 @ (^[Y11 : $i]: (Y9 @ Y11))) @ (^[Y11 : $i]: (Y10 @ Y11)))))))) @ Y6 @ (^[Y8 : $i]: (?? @ $i @ (^[Y9 : $i]: (((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i]: (c_Union @ ((^[Y14 : $i]: ((^[Y15 : $i]: (c_Repl @ sF10 @ (^[Y16 : $i]: ((^[Y17 : $o]: ((^[Y18 : $i]: ((^[Y19 : $i]: (c_Eps_i @ (^[Y20 : $i]: ((^[Y21 : $o]: ((^[Y22 : $o]: (!! @ $o @ (^[Y23 : $o]: ((Y21 => Y23) => ((Y22 => Y23) => Y23))))))) @ ((^[Y21 : $o]: ((^[Y22 : $o]: (!! @ $o @ (^[Y23 : $o]: ((Y21 => (Y22 => Y23)) => Y23)))))) @ Y17 @ (Y18 = Y20)) @ ((^[Y21 : $o]: ((^[Y22 : $o]: (!! @ $o @ (^[Y23 : $o]: ((Y21 => (Y22 => Y23)) => Y23)))))) @ ((^[Y21 : $o]: (Y21 => c_False)) @ Y17) @ (Y19 = Y20)))))))))) @ (c_In @ c_Empty @ Y16) @ Y14 @ Y15)))))) @ Y12 @ Y13))))) @ (c_Repl @ Y10 @ (^[Y12 : $i]: ((^[Y13 : $i]: (c_Repl @ Y13 @ (^[Y14 : $i]: ((^[Y15 : $i > ($i > $i) > $i]: ((^[Y16 : $i]: (c_Eps_i @ (^[Y17 : $i]: ((^[Y18 : $i > ($i > $i) > $i]: ((^[Y19 : $i]: ((^[Y20 : $i]: (!! @ ($i > $i > $o) @ (^[Y21 : $i > $i > $o]: ((!! @ $i @ (^[Y22 : $i]: (!! @ ($i > $i) @ (^[Y23 : $i > $i]: ((!! @ $i @ (^[Y24 : $i]: ((c_In @ Y24 @ Y22) => (Y21 @ Y24 @ (Y23 @ Y24))))) => (Y21 @ Y22 @ (Y18 @ Y22 @ Y23))))))) => (Y21 @ Y19 @ Y20))))))))) @ Y15 @ Y16 @ Y17)))))) @ (^[Y15 : $i]: ((^[Y16 : $i > $i]: ((^[Y17 : $i]: ((^[Y18 : $i]: (c_Union @ ((^[Y19 : $i]: ((^[Y20 : $i]: (c_Repl @ sF10 @ (^[Y21 : $i]: ((^[Y22 : $o]: ((^[Y23 : $i]: ((^[Y24 : $i]: (c_Eps_i @ (^[Y25 : $i]: ((^[Y26 : $o]: ((^[Y27 : $o]: (!! @ $o @ (^[Y28 : $o]: ((Y26 => Y28) => ((Y27 => Y28) => Y28))))))) @ ((^[Y26 : $o]: ((^[Y27 : $o]: (!! @ $o @ (^[Y28 : $o]: ((Y26 => (Y27 => Y28)) => Y28)))))) @ Y22 @ (Y23 = Y25)) @ ((^[Y26 : $o]: ((^[Y27 : $o]: (!! @ $o @ (^[Y28 : $o]: ((Y26 => (Y27 => Y28)) => Y28)))))) @ ((^[Y26 : $o]: (Y26 => c_False)) @ Y22) @ (Y24 = Y25)))))))))) @ (c_In @ c_Empty @ Y21) @ Y19 @ Y20)))))) @ Y17 @ Y18))))) @ sF11 @ (c_Repl @ Y15 @ (^[Y17 : $i]: (Y16 @ Y17))))))) @ Y14)))) @ Y12))) @ (c_Repl @ Y11 @ (^[Y12 : $i]: ((^[Y13 : $i > ($i > $i) > $i]: ((^[Y14 : $i]: (c_Eps_i @ (^[Y15 : $i]: ((^[Y16 : $i > ($i > $i) > $i]: ((^[Y17 : $i]: ((^[Y18 : $i]: (!! @ ($i > $i > $o) @ (^[Y19 : $i > $i > $o]: ((!! @ $i @ (^[Y20 : $i]: (!! @ ($i > $i) @ (^[Y21 : $i > $i]: ((!! @ $i @ (^[Y22 : $i]: ((c_In @ Y22 @ Y20) => (Y19 @ Y22 @ (Y21 @ Y22))))) => (Y19 @ Y20 @ (Y16 @ Y20 @ Y21))))))) => (Y19 @ Y17 @ Y18))))))))) @ Y13 @ Y14 @ Y15)))))) @ (^[Y13 : $i]: ((^[Y14 : $i > $i]: ((^[Y15 : $i]: ((^[Y16 : $i]: (c_Union @ ((^[Y17 : $i]: ((^[Y18 : $i]: (c_Repl @ sF10 @ (^[Y19 : $i]: ((^[Y20 : $o]: ((^[Y21 : $i]: ((^[Y22 : $i]: (c_Eps_i @ (^[Y23 : $i]: ((^[Y24 : $o]: ((^[Y25 : $o]: (!! @ $o @ (^[Y26 : $o]: ((Y24 => Y26) => ((Y25 => Y26) => Y26))))))) @ ((^[Y24 : $o]: ((^[Y25 : $o]: (!! @ $o @ (^[Y26 : $o]: ((Y24 => (Y25 => Y26)) => Y26)))))) @ Y20 @ (Y21 = Y23)) @ ((^[Y24 : $o]: ((^[Y25 : $o]: (!! @ $o @ (^[Y26 : $o]: ((Y24 => (Y25 => Y26)) => Y26)))))) @ ((^[Y24 : $o]: (Y24 => c_False)) @ Y20) @ (Y22 = Y23)))))))))) @ (c_In @ c_Empty @ Y19) @ Y17 @ Y18)))))) @ Y15 @ Y16))))) @ sF11 @ (c_Repl @ Y13 @ (^[Y15 : $i]: (Y14 @ Y15))))))) @ Y12))))))) @ Y7 @ Y9) = Y8)))) @ (^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i > $o]: ((^[Y12 : $i > $i]: (c_Repl @ ((^[Y13 : $i]: ((^[Y14 : $i > $o]: ((^[Y15 : $o]: ((^[Y16 : $i]: ((^[Y17 : $i]: (c_Eps_i @ (^[Y18 : $i]: ((^[Y19 : $o]: ((^[Y20 : $o]: (!! @ $o @ (^[Y21 : $o]: ((Y19 => Y21) => ((Y20 => Y21) => Y21))))))) @ ((^[Y19 : $o]: ((^[Y20 : $o]: (!! @ $o @ (^[Y21 : $o]: ((Y19 => (Y20 => Y21)) => Y21)))))) @ Y15 @ (Y16 = Y18)) @ ((^[Y19 : $o]: ((^[Y20 : $o]: (!! @ $o @ (^[Y21 : $o]: ((Y19 => (Y20 => Y21)) => Y21)))))) @ ((^[Y19 : $o]: (Y19 => c_False)) @ Y15) @ (Y17 = Y18)))))))))) @ (?? @ $i @ (^[Y15 : $i]: ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ (c_In @ Y15 @ Y13) @ (Y14 @ Y15)))) @ (c_Repl @ Y13 @ (^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $o]: ((^[Y18 : $i]: ((^[Y19 : $i]: (c_Eps_i @ (^[Y20 : $i]: ((^[Y21 : $o]: ((^[Y22 : $o]: (!! @ $o @ (^[Y23 : $o]: ((Y21 => Y23) => ((Y22 => Y23) => Y23))))))) @ ((^[Y21 : $o]: ((^[Y22 : $o]: (!! @ $o @ (^[Y23 : $o]: ((Y21 => (Y22 => Y23)) => Y23)))))) @ Y17 @ (Y18 = Y20)) @ ((^[Y21 : $o]: ((^[Y22 : $o]: (!! @ $o @ (^[Y23 : $o]: ((Y21 => (Y22 => Y23)) => Y23)))))) @ ((^[Y21 : $o]: (Y21 => c_False)) @ Y17) @ (Y19 = Y20)))))))))) @ (Y14 @ Y16) @ Y16 @ (c_Eps_i @ (^[Y17 : $i]: ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ (c_In @ Y17 @ Y13) @ (Y14 @ Y17)))))) @ Y15))) @ c_Empty)))) @ Y10 @ (^[Y13 : $i]: (Y11 @ Y13))) @ (^[Y13 : $i]: (Y12 @ Y13)))))))) @ Y9 @ (^[Y10 : $i]: (?? @ $i @ (^[Y11 : $i]: (((^[Y12 : $i > ($i > $i) > $i]: ((^[Y13 : $i]: (c_Eps_i @ (^[Y14 : $i]: ((^[Y15 : $i > ($i > $i) > $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: (!! @ ($i > $i > $o) @ (^[Y18 : $i > $i > $o]: ((!! @ $i @ (^[Y19 : $i]: (!! @ ($i > $i) @ (^[Y20 : $i > $i]: ((!! @ $i @ (^[Y21 : $i]: ((c_In @ Y21 @ Y19) => (Y18 @ Y21 @ (Y20 @ Y21))))) => (Y18 @ Y19 @ (Y15 @ Y19 @ Y20))))))) => (Y18 @ Y16 @ Y17))))))))) @ Y12 @ Y13 @ Y14)))))) @ (^[Y12 : $i]: ((^[Y13 : $i > $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: (c_Union @ ((^[Y16 : $i]: ((^[Y17 : $i]: (c_Repl @ sF10 @ (^[Y18 : $i]: ((^[Y19 : $o]: ((^[Y20 : $i]: ((^[Y21 : $i]: (c_Eps_i @ (^[Y22 : $i]: ((^[Y23 : $o]: ((^[Y24 : $o]: (!! @ $o @ (^[Y25 : $o]: ((Y23 => Y25) => ((Y24 => Y25) => Y25))))))) @ ((^[Y23 : $o]: ((^[Y24 : $o]: (!! @ $o @ (^[Y25 : $o]: ((Y23 => (Y24 => Y25)) => Y25)))))) @ Y19 @ (Y20 = Y22)) @ ((^[Y23 : $o]: ((^[Y24 : $o]: (!! @ $o @ (^[Y25 : $o]: ((Y23 => (Y24 => Y25)) => Y25)))))) @ ((^[Y23 : $o]: (Y23 => c_False)) @ Y19) @ (Y21 = Y22)))))))))) @ (c_In @ c_Empty @ Y18) @ Y16 @ Y17)))))) @ Y14 @ Y15))))) @ sF11 @ (c_Repl @ Y12 @ (^[Y14 : $i]: (Y13 @ Y14))))))) @ Y11) = Y10)))) @ (^[Y10 : $i]: ((^[Y11 : $i > ($i > $i) > $i]: ((^[Y12 : $i]: (c_Eps_i @ (^[Y13 : $i]: ((^[Y14 : $i > ($i > $i) > $i]: ((^[Y15 : $i]: ((^[Y16 : $i]: (!! @ ($i > $i > $o) @ (^[Y17 : $i > $i > $o]: ((!! @ $i @ (^[Y18 : $i]: (!! @ ($i > $i) @ (^[Y19 : $i > $i]: ((!! @ $i @ (^[Y20 : $i]: ((c_In @ Y20 @ Y18) => (Y17 @ Y20 @ (Y19 @ Y20))))) => (Y17 @ Y18 @ (Y14 @ Y18 @ Y19))))))) => (Y17 @ Y15 @ Y16))))))))) @ Y11 @ Y12 @ Y13)))))) @ (^[Y11 : $i]: ((^[Y12 : $i > $i]: (c_Repl @ ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: ((^[Y16 : $i > $o]: ((^[Y17 : $o]: ((^[Y18 : $i]: ((^[Y19 : $i]: (c_Eps_i @ (^[Y20 : $i]: ((^[Y21 : $o]: ((^[Y22 : $o]: (!! @ $o @ (^[Y23 : $o]: ((Y21 => Y23) => ((Y22 => Y23) => Y23))))))) @ ((^[Y21 : $o]: ((^[Y22 : $o]: (!! @ $o @ (^[Y23 : $o]: ((Y21 => (Y22 => Y23)) => Y23)))))) @ Y17 @ (Y18 = Y20)) @ ((^[Y21 : $o]: ((^[Y22 : $o]: (!! @ $o @ (^[Y23 : $o]: ((Y21 => (Y22 => Y23)) => Y23)))))) @ ((^[Y21 : $o]: (Y21 => c_False)) @ Y17) @ (Y19 = Y20)))))))))) @ (?? @ $i @ (^[Y17 : $i]: ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ (c_In @ Y17 @ Y15) @ (Y16 @ Y17)))) @ (c_Repl @ Y15 @ (^[Y17 : $i]: ((^[Y18 : $i]: ((^[Y19 : $o]: ((^[Y20 : $i]: ((^[Y21 : $i]: (c_Eps_i @ (^[Y22 : $i]: ((^[Y23 : $o]: ((^[Y24 : $o]: (!! @ $o @ (^[Y25 : $o]: ((Y23 => Y25) => ((Y24 => Y25) => Y25))))))) @ ((^[Y23 : $o]: ((^[Y24 : $o]: (!! @ $o @ (^[Y25 : $o]: ((Y23 => (Y24 => Y25)) => Y25)))))) @ Y19 @ (Y20 = Y22)) @ ((^[Y23 : $o]: ((^[Y24 : $o]: (!! @ $o @ (^[Y25 : $o]: ((Y23 => (Y24 => Y25)) => Y25)))))) @ ((^[Y23 : $o]: (Y23 => c_False)) @ Y19) @ (Y21 = Y22)))))))))) @ (Y16 @ Y18) @ Y18 @ (c_Eps_i @ (^[Y19 : $i]: ((^[Y20 : $o]: ((^[Y21 : $o]: (!! @ $o @ (^[Y22 : $o]: ((Y20 => (Y21 => Y22)) => Y22)))))) @ (c_In @ Y19 @ Y15) @ (Y16 @ Y19)))))) @ Y17))) @ c_Empty)))) @ Y13 @ (^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: ((^[Y18 : $o]: (Y18 => c_False)) @ (c_In @ Y16 @ Y17))))) @ Y15 @ Y14)))))) @ Y11 @ sF11) @ (^[Y13 : $i]: (Y12 @ Y13)))))) @ Y10)))) @ Y8)))))) @ Y4 @ Y5) @ (Y3 @ Y5)))))))))) @ Y1 @ (^[Y2 : $i]: (Y0)))))) @ sF15 @ sF19)))),
% 180.16/26.09 introduced(definition,[new_symbols(definition,[sF20])],[function_definition])).
% 180.16/26.09 thf(f563,definition,(
% 180.16/26.09 (sF21 = ((c_Power @ sF10)))),
% 180.16/26.09 introduced(definition,[new_symbols(definition,[sF21])],[function_definition])).
% 180.16/26.09 thf(f564,definition,(
% 180.16/26.09 (sF22 = ((c_Power @ sF21)))),
% 180.16/26.09 introduced(definition,[new_symbols(definition,[sF22])],[function_definition])).
% 180.16/26.09 thf(f565,plain,(
% 180.16/26.09 (((c_Power @ sF21)) = sF22)),
% 180.16/26.09 inference(reorient_equations,[],[f564])).
% 180.16/26.09 thf(f566,definition,(
% 180.16/26.09 (sF23 = (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (c_Union @ ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Repl @ sF10 @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => Y15) => ((Y14 => Y15) => Y15))))))) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ Y9 @ (Y10 = Y12)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ ((^[Y13 : $o]: (Y13 => c_False)) @ Y9) @ (Y11 = Y12)))))))))) @ (c_In @ c_Empty @ Y8) @ Y6 @ Y7)))))) @ Y4 @ Y5))))) @ (c_Repl @ Y2 @ (^[Y4 : $i]: ((^[Y5 : $i]: (c_Repl @ Y5 @ (^[Y6 : $i]: ((^[Y7 : $i > ($i > $i) > $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: ((^[Y10 : $i > ($i > $i) > $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (!! @ ($i > $i > $o) @ (^[Y13 : $i > $i > $o]: ((!! @ $i @ (^[Y14 : $i]: (!! @ ($i > $i) @ (^[Y15 : $i > $i]: ((!! @ $i @ (^[Y16 : $i]: ((c_In @ Y16 @ Y14) => (Y13 @ Y16 @ (Y15 @ Y16))))) => (Y13 @ Y14 @ (Y10 @ Y14 @ Y15))))))) => (Y13 @ Y11 @ Y12))))))))) @ Y7 @ Y8 @ Y9)))))) @ (^[Y7 : $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Union @ ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Repl @ sF10 @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $i]: ((^[Y16 : $i]: (c_Eps_i @ (^[Y17 : $i]: ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => Y20) => ((Y19 => Y20) => Y20))))))) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ Y14 @ (Y15 = Y17)) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ ((^[Y18 : $o]: (Y18 => c_False)) @ Y14) @ (Y16 = Y17)))))))))) @ (c_In @ c_Empty @ Y13) @ Y11 @ Y12)))))) @ Y9 @ Y10))))) @ sF11 @ (c_Repl @ Y7 @ (^[Y9 : $i]: (Y8 @ Y9))))))) @ Y6)))) @ Y4))) @ (c_Repl @ Y3 @ (^[Y4 : $i]: ((^[Y5 : $i > ($i > $i) > $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: ((^[Y8 : $i > ($i > $i) > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ ($i > $i > $o) @ (^[Y11 : $i > $i > $o]: ((!! @ $i @ (^[Y12 : $i]: (!! @ ($i > $i) @ (^[Y13 : $i > $i]: ((!! @ $i @ (^[Y14 : $i]: ((c_In @ Y14 @ Y12) => (Y11 @ Y14 @ (Y13 @ Y14))))) => (Y11 @ Y12 @ (Y8 @ Y12 @ Y13))))))) => (Y11 @ Y9 @ Y10))))))))) @ Y5 @ Y6 @ Y7)))))) @ (^[Y5 : $i]: ((^[Y6 : $i > $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Union @ ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Repl @ sF10 @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $i]: ((^[Y14 : $i]: (c_Eps_i @ (^[Y15 : $i]: ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => Y18) => ((Y17 => Y18) => Y18))))))) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ Y12 @ (Y13 = Y15)) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ ((^[Y16 : $o]: (Y16 => c_False)) @ Y12) @ (Y14 = Y15)))))))))) @ (c_In @ c_Empty @ Y11) @ Y9 @ Y10)))))) @ Y7 @ Y8))))) @ sF11 @ (c_Repl @ Y5 @ (^[Y7 : $i]: (Y6 @ Y7))))))) @ Y4))))))) @ Y0 @ (c_Power @ Y1))))) @ sF22 @ sF9)))),
% 180.16/26.09 introduced(definition,[new_symbols(definition,[sF23])],[function_definition])).
% 180.16/26.09 thf(f567,definition,(
% 180.16/26.09 (sF24 = (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (c_Union @ ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Repl @ sF10 @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => Y15) => ((Y14 => Y15) => Y15))))))) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ Y9 @ (Y10 = Y12)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ ((^[Y13 : $o]: (Y13 => c_False)) @ Y9) @ (Y11 = Y12)))))))))) @ (c_In @ c_Empty @ Y8) @ Y6 @ Y7)))))) @ Y4 @ Y5))))) @ (c_Repl @ Y2 @ (^[Y4 : $i]: ((^[Y5 : $i]: (c_Repl @ Y5 @ (^[Y6 : $i]: ((^[Y7 : $i > ($i > $i) > $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: ((^[Y10 : $i > ($i > $i) > $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (!! @ ($i > $i > $o) @ (^[Y13 : $i > $i > $o]: ((!! @ $i @ (^[Y14 : $i]: (!! @ ($i > $i) @ (^[Y15 : $i > $i]: ((!! @ $i @ (^[Y16 : $i]: ((c_In @ Y16 @ Y14) => (Y13 @ Y16 @ (Y15 @ Y16))))) => (Y13 @ Y14 @ (Y10 @ Y14 @ Y15))))))) => (Y13 @ Y11 @ Y12))))))))) @ Y7 @ Y8 @ Y9)))))) @ (^[Y7 : $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Union @ ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Repl @ sF10 @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $i]: ((^[Y16 : $i]: (c_Eps_i @ (^[Y17 : $i]: ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => Y20) => ((Y19 => Y20) => Y20))))))) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ Y14 @ (Y15 = Y17)) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ ((^[Y18 : $o]: (Y18 => c_False)) @ Y14) @ (Y16 = Y17)))))))))) @ (c_In @ c_Empty @ Y13) @ Y11 @ Y12)))))) @ Y9 @ Y10))))) @ sF11 @ (c_Repl @ Y7 @ (^[Y9 : $i]: (Y8 @ Y9))))))) @ Y6)))) @ Y4))) @ (c_Repl @ Y3 @ (^[Y4 : $i]: ((^[Y5 : $i > ($i > $i) > $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: ((^[Y8 : $i > ($i > $i) > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ ($i > $i > $o) @ (^[Y11 : $i > $i > $o]: ((!! @ $i @ (^[Y12 : $i]: (!! @ ($i > $i) @ (^[Y13 : $i > $i]: ((!! @ $i @ (^[Y14 : $i]: ((c_In @ Y14 @ Y12) => (Y11 @ Y14 @ (Y13 @ Y14))))) => (Y11 @ Y12 @ (Y8 @ Y12 @ Y13))))))) => (Y11 @ Y9 @ Y10))))))))) @ Y5 @ Y6 @ Y7)))))) @ (^[Y5 : $i]: ((^[Y6 : $i > $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Union @ ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Repl @ sF10 @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $i]: ((^[Y14 : $i]: (c_Eps_i @ (^[Y15 : $i]: ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => Y18) => ((Y17 => Y18) => Y18))))))) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ Y12 @ (Y13 = Y15)) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ ((^[Y16 : $o]: (Y16 => c_False)) @ Y12) @ (Y14 = Y15)))))))))) @ (c_In @ c_Empty @ Y11) @ Y9 @ Y10)))))) @ Y7 @ Y8))))) @ sF11 @ (c_Repl @ Y5 @ (^[Y7 : $i]: (Y6 @ Y7))))))) @ Y4))))))) @ Y0 @ (c_Power @ Y1))))) @ sF23 @ c_Empty)))),
% 180.16/26.09 introduced(definition,[new_symbols(definition,[sF24])],[function_definition])).
% 180.16/26.09 thf(f568,plain,(
% 180.16/26.09 ((((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (c_Union @ ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Repl @ sF10 @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => Y15) => ((Y14 => Y15) => Y15))))))) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ Y9 @ (Y10 = Y12)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ ((^[Y13 : $o]: (Y13 => c_False)) @ Y9) @ (Y11 = Y12)))))))))) @ (c_In @ c_Empty @ Y8) @ Y6 @ Y7)))))) @ Y4 @ Y5))))) @ (c_Repl @ Y2 @ (^[Y4 : $i]: ((^[Y5 : $i]: (c_Repl @ Y5 @ (^[Y6 : $i]: ((^[Y7 : $i > ($i > $i) > $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: ((^[Y10 : $i > ($i > $i) > $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (!! @ ($i > $i > $o) @ (^[Y13 : $i > $i > $o]: ((!! @ $i @ (^[Y14 : $i]: (!! @ ($i > $i) @ (^[Y15 : $i > $i]: ((!! @ $i @ (^[Y16 : $i]: ((c_In @ Y16 @ Y14) => (Y13 @ Y16 @ (Y15 @ Y16))))) => (Y13 @ Y14 @ (Y10 @ Y14 @ Y15))))))) => (Y13 @ Y11 @ Y12))))))))) @ Y7 @ Y8 @ Y9)))))) @ (^[Y7 : $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Union @ ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Repl @ sF10 @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $i]: ((^[Y16 : $i]: (c_Eps_i @ (^[Y17 : $i]: ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => Y20) => ((Y19 => Y20) => Y20))))))) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ Y14 @ (Y15 = Y17)) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ ((^[Y18 : $o]: (Y18 => c_False)) @ Y14) @ (Y16 = Y17)))))))))) @ (c_In @ c_Empty @ Y13) @ Y11 @ Y12)))))) @ Y9 @ Y10))))) @ sF11 @ (c_Repl @ Y7 @ (^[Y9 : $i]: (Y8 @ Y9))))))) @ Y6)))) @ Y4))) @ (c_Repl @ Y3 @ (^[Y4 : $i]: ((^[Y5 : $i > ($i > $i) > $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: ((^[Y8 : $i > ($i > $i) > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ ($i > $i > $o) @ (^[Y11 : $i > $i > $o]: ((!! @ $i @ (^[Y12 : $i]: (!! @ ($i > $i) @ (^[Y13 : $i > $i]: ((!! @ $i @ (^[Y14 : $i]: ((c_In @ Y14 @ Y12) => (Y11 @ Y14 @ (Y13 @ Y14))))) => (Y11 @ Y12 @ (Y8 @ Y12 @ Y13))))))) => (Y11 @ Y9 @ Y10))))))))) @ Y5 @ Y6 @ Y7)))))) @ (^[Y5 : $i]: ((^[Y6 : $i > $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Union @ ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Repl @ sF10 @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $i]: ((^[Y14 : $i]: (c_Eps_i @ (^[Y15 : $i]: ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => Y18) => ((Y17 => Y18) => Y18))))))) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ Y12 @ (Y13 = Y15)) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ ((^[Y16 : $o]: (Y16 => c_False)) @ Y12) @ (Y14 = Y15)))))))))) @ (c_In @ c_Empty @ Y11) @ Y9 @ Y10)))))) @ Y7 @ Y8))))) @ sF11 @ (c_Repl @ Y5 @ (^[Y7 : $i]: (Y6 @ Y7))))))) @ Y4))))))) @ Y0 @ (c_Power @ Y1))))) @ sF23 @ c_Empty)) = sF24)),
% 180.16/26.09 inference(reorient_equations,[],[f567])).
% 180.16/26.09 thf(f569,definition,(
% 180.16/26.09 (sF25 = (((^[Y0 : $i]: ((^[Y1 : $o]: ((^[Y2 : $o]: (!! @ $o @ (^[Y3 : $o]: ((Y1 => (Y2 => Y3)) => Y3)))))) @ ((^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ ((^[Y3 : $i]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y4))))))) @ Y2 @ Y1) @ ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ ((^[Y3 : $o]: (Y3 => c_False)) @ ((^[Y3 : $i]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y4))))))) @ Y1 @ Y2)) @ ((^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y4 @ Y3) @ ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $o]: (Y5 => c_False)) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y3 @ Y4)) @ ((^[Y5 : $i]: (?? @ $i @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $i]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y8))))))) @ Y6 @ Y5) @ ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $o]: (Y7 => c_False)) @ ((^[Y7 : $i]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y8))))))) @ Y5 @ Y6)) @ ((^[Y7 : $i]: (?? @ $i @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ (c_In @ Y8 @ Y7) @ ((^[Y9 : $o]: (Y9 => c_False)) @ ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y9) => (c_In @ Y11 @ Y10))))))) @ Y7 @ (c_Power @ Y8))))))) @ Y6)))))) @ Y4)))))) @ Y2)))))) @ Y0) @ ((^[Y1 : $o]: (Y1 => c_False)) @ ((^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ ((^[Y3 : $i]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y4))))))) @ Y2 @ Y1) @ ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ ((^[Y3 : $o]: (Y3 => c_False)) @ ((^[Y3 : $i]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y4))))))) @ Y1 @ Y2)) @ ((^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y4 @ Y3) @ ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $o]: (Y5 => c_False)) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y3 @ Y4)) @ ((^[Y5 : $i]: (?? @ $i @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $i]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y8))))))) @ Y6 @ Y5) @ ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $o]: (Y7 => c_False)) @ ((^[Y7 : $i]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y8))))))) @ Y5 @ Y6)) @ ((^[Y7 : $i]: (?? @ $i @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y9) => (c_In @ Y11 @ Y10))))))) @ Y8 @ Y7) @ ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ ((^[Y9 : $o]: (Y9 => c_False)) @ ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y9) => (c_In @ Y11 @ Y10))))))) @ Y7 @ Y8)) @ ((^[Y9 : $i]: (?? @ $i @ (^[Y10 : $i]: ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => (Y12 => Y13)) => Y13)))))) @ (c_In @ Y10 @ Y9) @ ((^[Y11 : $o]: (Y11 => c_False)) @ ((^[Y11 : $i]: ((^[Y12 : $i]: (!! @ $i @ (^[Y13 : $i]: ((c_In @ Y13 @ Y11) => (c_In @ Y13 @ Y12))))))) @ Y9 @ (c_Power @ Y10))))))) @ Y8)))))) @ Y6)))))) @ Y4)))))) @ Y2)))))) @ Y0)))) @ c_Empty)))),
% 180.16/26.09 introduced(definition,[new_symbols(definition,[sF25])],[function_definition])).
% 180.16/26.09 thf(f570,definition,(
% 180.16/26.09 (sF26 = (((^[Y0 : $o]: (Y0 => c_False)) @ sF25)))),
% 180.16/26.09 introduced(definition,[new_symbols(definition,[sF26])],[function_definition])).
% 180.16/26.09 thf(f571,definition,(
% 180.16/26.09 (sF27 = ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i) @ (^[Y2 : $i > $i]: ((c_In @ Y0 @ (Y2 @ (Y2 @ (Y2 @ sF20)))) => (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y3 @ Y0) => ((?? @ $i @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y4 @ sF24) @ ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $o]: (Y5 => c_False)) @ (Y1 @ Y4)) @ sF26)))) => ((^[Y4 : $o]: (Y4 => c_False)) @ (Y1 @ Y3)))))))))))))))),
% 180.16/26.09 introduced(definition,[new_symbols(definition,[sF27])],[function_definition])).
% 180.16/26.09 thf(f572,plain,(
% 180.16/26.09 (((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i) @ (^[Y2 : $i > $i]: ((c_In @ Y0 @ (Y2 @ (Y2 @ (Y2 @ sF20)))) => (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y3 @ Y0) => ((?? @ $i @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y4 @ sF24) @ ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $o]: (Y5 => c_False)) @ (Y1 @ Y4)) @ sF26)))) => ((^[Y4 : $o]: (Y4 => c_False)) @ (Y1 @ Y3)))))))))))))) = sF27)),
% 180.16/26.09 inference(reorient_equations,[],[f571])).
% 180.16/26.09 thf(f573,definition,(
% 180.16/26.09 (sF28 = (((^[Y0 : $o]: (Y0 => c_False)) @ sF27)))),
% 180.16/26.09 introduced(definition,[new_symbols(definition,[sF28])],[function_definition])).
% 180.16/26.09 thf(f574,plain,(
% 180.16/26.09 (sF28 != $true)),
% 180.16/26.09 inference(definition_folding,[],[f537,f573,f572,f570,f569,f568,f566,f546,f565,f563,f547,f546,f549,f547,f546,f547,f546,f549,f547,f546,f547,f546,f547,f546,f549,f547,f546,f547,f546,f549,f547,f546,f547,f546,f547,f546,f562,f561,f546,f560,f547,f546,f558,f557,f547,f546,f549,f547,f546,f547,f546,f549,f547,f546,f547,f546,f547,f546,f549,f547,f546,f547,f546,f549,f547,f546,f547,f546,f547,f546,f549,f547,f546,f547,f546,f549,f547,f546,f547,f546,f547,f546,f555,f554,f552,f550,f547,f546,f547,f546,f547,f546,f547,f546,f547,f546,f552,f550,f547,f546,f547,f546,f547,f546,f547,f546,f547,f546,f547,f546,f549,f547,f546,f549,f547,f546,f547,f546,f549,f547,f546,f547,f546,f549,f547,f546,f547,f546,f547,f546,f549,f547,f546,f547,f546,f549,f547,f546,f547,f546,f547,f546])).
% 180.16/26.09 thf(f578,plain,(
% 180.16/26.09 ( ! [X0 : $i,X1 : $i] : ((((!! @ $o @ (^[Y0 : $o]: ((((c_In @ X0 @ (c_Power @ X1)) => (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ X0) => (c_In @ Y1 @ X1))))) => (((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ X0) => (c_In @ Y1 @ X1)))) => (c_In @ X0 @ (c_Power @ X1))) => Y0)) => Y0)))) = $true)) )),
% 180.16/26.09 inference(beta-eta_normalization,[],[f544])).
% 180.16/26.09 thf(f579,plain,(
% 180.16/26.09 ( ! [X2 : $o,X0 : $i,X1 : $i] : (((((^[Y0 : $o]: ((((c_In @ X0 @ (c_Power @ X1)) => (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ X0) => (c_In @ Y1 @ X1))))) => (((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ X0) => (c_In @ Y1 @ X1)))) => (c_In @ X0 @ (c_Power @ X1))) => Y0)) => Y0)) @ X2)) = $true)) )),
% 180.16/26.09 inference(pi_proxy_clausification,[],[f578])).
% 180.16/26.09 thf(f580,plain,(
% 180.16/26.09 ( ! [X2 : $o,X0 : $i,X1 : $i] : (($true = (((((c_In @ X0 @ (c_Power @ X1)) => (!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X0) => (c_In @ Y0 @ X1))))) => (((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X0) => (c_In @ Y0 @ X1)))) => (c_In @ X0 @ (c_Power @ X1))) => X2)) => X2)))) )),
% 180.16/26.09 inference(beta-eta_normalization,[],[f579])).
% 180.16/26.09 thf(f581,plain,(
% 180.16/26.09 ( ! [X2 : $o,X0 : $i,X1 : $i] : (($false = ((((c_In @ X0 @ (c_Power @ X1)) => (!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X0) => (c_In @ Y0 @ X1))))) => (((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X0) => (c_In @ Y0 @ X1)))) => (c_In @ X0 @ (c_Power @ X1))) => X2)))) | ($true = X2)) )),
% 180.16/26.09 inference(imp_proxy_clausification,[],[f580])).
% 180.16/26.09 thf(f582,plain,(
% 180.16/26.09 ( ! [X2 : $o,X0 : $i,X1 : $i] : (($false = ((((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X0) => (c_In @ Y0 @ X1)))) => (c_In @ X0 @ (c_Power @ X1))) => X2))) | ($true = X2)) )),
% 180.16/26.09 inference(imp_proxy_clausification,[],[f581])).
% 180.16/26.09 thf(f589,plain,(
% 180.16/26.09 ( ! [X2 : $o,X0 : $i,X1 : $i] : (((((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X0) => (c_In @ Y0 @ X1)))) => (c_In @ X0 @ (c_Power @ X1)))) = $true) | ($true = X2)) )),
% 180.16/26.09 inference(imp_proxy_clausification,[],[f582])).
% 180.16/26.09 thf(f590,plain,(
% 180.16/26.09 ( ! [X2 : $o,X0 : $i,X1 : $i] : (($true = X2) | (((c_In @ X0 @ (c_Power @ X1))) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X0) => (c_In @ Y0 @ X1))))) = $false)) )),
% 180.16/26.09 inference(imp_proxy_clausification,[],[f589])).
% 180.16/26.09 thf(f591,plain,(
% 180.16/26.09 ( ! [X2 : $o,X0 : $i,X1 : $i] : (($true = X2) | (((c_In @ X0 @ (c_Power @ X1))) = $true) | ($false = (((^[Y0 : $i]: ((c_In @ Y0 @ X0) => (c_In @ Y0 @ X1))) @ (sK29 @ X1 @ X0))))) )),
% 180.16/26.09 inference(sigma_proxy_clausification,[],[f590])).
% 180.16/26.09 thf(f592,plain,(
% 180.16/26.09 ( ! [X2 : $o,X0 : $i,X1 : $i] : ((((c_In @ X0 @ (c_Power @ X1))) = $true) | ($true = X2) | ($false = (((c_In @ (sK29 @ X1 @ X0) @ X0) => (c_In @ (sK29 @ X1 @ X0) @ X1))))) )),
% 180.16/26.09 inference(beta-eta_normalization,[],[f591])).
% 180.16/26.09 thf(f593,plain,(
% 180.16/26.09 ( ! [X2 : $o,X0 : $i,X1 : $i] : ((((c_In @ X0 @ (c_Power @ X1))) = $true) | (((c_In @ (sK29 @ X1 @ X0) @ X1)) = $false) | ($true = X2)) )),
% 180.16/26.09 inference(imp_proxy_clausification,[],[f592])).
% 180.16/26.09 thf(f594,plain,(
% 180.16/26.09 ( ! [X2 : $o,X0 : $i,X1 : $i] : (($true = X2) | (((c_In @ (sK29 @ X1 @ X0) @ X0)) = $true) | (((c_In @ X0 @ (c_Power @ X1))) = $true)) )),
% 180.16/26.09 inference(imp_proxy_clausification,[],[f592])).
% 180.16/26.09 thf(f631,plain,(
% 180.16/26.09 (((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i) @ (^[Y2 : $i > $i]: ((c_In @ Y0 @ (Y2 @ (Y2 @ (Y2 @ sF20)))) => (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y3 @ Y0) => ((?? @ $i @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y4 @ sF24) @ ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $o]: (Y5 => c_False)) @ (Y1 @ Y4)) @ sF26)))) => ((^[Y4 : $o]: (Y4 => c_False)) @ (Y1 @ Y3)))))))))))))) = $true) | ($false = sF27)),
% 180.16/26.09 inference(iff_proxy_clausification,[],[f572])).
% 180.16/26.09 thf(f672,plain,(
% 180.16/26.09 ( ! [X1 : $i] : (($false = sF27) | ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i) @ (^[Y2 : $i > $i]: ((c_In @ Y0 @ (Y2 @ (Y2 @ (Y2 @ sF20)))) => (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y3 @ Y0) => ((?? @ $i @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y4 @ sF24) @ ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $o]: (Y5 => c_False)) @ (Y1 @ Y4)) @ sF26)))) => ((^[Y4 : $o]: (Y4 => c_False)) @ (Y1 @ Y3)))))))))))) @ X1)) = $true)) )),
% 180.16/26.09 inference(pi_proxy_clausification,[],[f631])).
% 180.16/26.09 thf(f673,plain,(
% 180.16/26.09 ( ! [X1 : $i] : ((((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((c_In @ X1 @ (Y1 @ (Y1 @ (Y1 @ sF20)))) => (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y2) => (c_In @ Y3 @ X1)))) => ((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ sF24)))) => ((!! @ $o @ (^[Y5 : $o]: ((((Y0 @ Y3) => c_False) => (sF26 => Y5)) => Y5))) => Y4)) => Y4))))) => ((Y0 @ Y2) => c_False))))))))))) = $true) | ($false = sF27)) )),
% 180.16/26.09 inference(beta-eta_normalization,[],[f672])).
% 180.16/26.09 thf(f674,plain,(
% 180.16/26.09 ( ! [X2 : ($i > $o),X1 : $i] : (($false = sF27) | ((((^[Y0 : $i > $o]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((c_In @ X1 @ (Y1 @ (Y1 @ (Y1 @ sF20)))) => (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y2) => (c_In @ Y3 @ X1)))) => ((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ sF24)))) => ((!! @ $o @ (^[Y5 : $o]: ((((Y0 @ Y3) => c_False) => (sF26 => Y5)) => Y5))) => Y4)) => Y4))))) => ((Y0 @ Y2) => c_False))))))))) @ X2)) = $true)) )),
% 180.16/26.09 inference(pi_proxy_clausification,[],[f673])).
% 180.16/26.09 thf(f675,plain,(
% 180.16/26.09 ( ! [X2 : ($i > $o),X1 : $i] : (($false = sF27) | (((!! @ ($i > $i) @ (^[Y0 : $i > $i]: ((c_In @ X1 @ (Y0 @ (Y0 @ (Y0 @ sF20)))) => (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y1) => (c_In @ Y2 @ X1)))) => ((?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ sF24)))) => ((!! @ $o @ (^[Y4 : $o]: ((((X2 @ Y2) => c_False) => (sF26 => Y4)) => Y4))) => Y3)) => Y3))))) => ((X2 @ Y1) => c_False))))))))) = $true)) )),
% 180.16/26.09 inference(beta-eta_normalization,[],[f674])).
% 180.16/26.09 thf(f676,plain,(
% 180.16/26.09 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i] : (($false = sF27) | ((((^[Y0 : $i > $i]: ((c_In @ X1 @ (Y0 @ (Y0 @ (Y0 @ sF20)))) => (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y1) => (c_In @ Y2 @ X1)))) => ((?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ sF24)))) => ((!! @ $o @ (^[Y4 : $o]: ((((X2 @ Y2) => c_False) => (sF26 => Y4)) => Y4))) => Y3)) => Y3))))) => ((X2 @ Y1) => c_False))))))) @ X3)) = $true)) )),
% 180.16/26.10 inference(pi_proxy_clausification,[],[f675])).
% 180.16/26.10 thf(f677,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i] : (($false = sF27) | ((((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20)))) => (!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => (c_In @ Y1 @ X1)))) => ((?? @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y1) => (c_In @ Y3 @ sF24)))) => ((!! @ $o @ (^[Y3 : $o]: ((((X2 @ Y1) => c_False) => (sF26 => Y3)) => Y3))) => Y2)) => Y2))))) => ((X2 @ Y0) => c_False))))))) = $true)) )),
% 180.16/26.10 inference(beta-eta_normalization,[],[f676])).
% 180.16/26.10 thf(f678,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i] : ((((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => (c_In @ Y1 @ X1)))) => ((?? @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y1) => (c_In @ Y3 @ sF24)))) => ((!! @ $o @ (^[Y3 : $o]: ((((X2 @ Y1) => c_False) => (sF26 => Y3)) => Y3))) => Y2)) => Y2))))) => ((X2 @ Y0) => c_False)))))) = $true) | ($false = sF27)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f677])).
% 180.16/26.10 thf(f679,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i] : (($false = sF27) | ((((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => (c_In @ Y1 @ X1)))) => ((?? @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y1) => (c_In @ Y3 @ sF24)))) => ((!! @ $o @ (^[Y3 : $o]: ((((X2 @ Y1) => c_False) => (sF26 => Y3)) => Y3))) => Y2)) => Y2))))) => ((X2 @ Y0) => c_False)))) @ X4)) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false)) )),
% 180.16/26.10 inference(pi_proxy_clausification,[],[f678])).
% 180.16/26.10 thf(f680,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i] : ((((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ((((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X4) => (c_In @ Y0 @ X1)))) => ((?? @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: (((!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ sF24)))) => ((!! @ $o @ (^[Y2 : $o]: ((((X2 @ Y0) => c_False) => (sF26 => Y2)) => Y2))) => Y1)) => Y1))))) => ((X2 @ X4) => c_False)))) = $true) | ($false = sF27)) )),
% 180.16/26.10 inference(beta-eta_normalization,[],[f679])).
% 180.16/26.10 thf(f681,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i] : (((((?? @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: (((!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ sF24)))) => ((!! @ $o @ (^[Y2 : $o]: ((((X2 @ Y0) => c_False) => (sF26 => Y2)) => Y2))) => Y1)) => Y1))))) => ((X2 @ X4) => c_False))) = $true) | ($false = sF27) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X4) => (c_In @ Y0 @ X1))))) = $false)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f680])).
% 180.16/26.10 thf(f682,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X4) => (c_In @ Y0 @ X1))))) = $false) | (((?? @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: (((!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ sF24)))) => ((!! @ $o @ (^[Y2 : $o]: ((((X2 @ Y0) => c_False) => (sF26 => Y2)) => Y2))) => Y1)) => Y1)))))) = $false) | ($false = sF27) | ((((X2 @ X4) => c_False)) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f681])).
% 180.16/26.10 thf(f683,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i] : ((((?? @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: (((!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ sF24)))) => ((!! @ $o @ (^[Y2 : $o]: ((((X2 @ Y0) => c_False) => (sF26 => Y2)) => Y2))) => Y1)) => Y1)))))) = $false) | ((((X2 @ X4) => c_False)) = $true) | ($false = sF27) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ((((^[Y0 : $i]: ((c_In @ Y0 @ X4) => (c_In @ Y0 @ X1))) @ (sK38 @ X1 @ X4))) = $false)) )),
% 180.16/26.10 inference(sigma_proxy_clausification,[],[f682])).
% 180.16/26.10 thf(f684,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ((((^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: (((!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ sF24)))) => ((!! @ $o @ (^[Y2 : $o]: ((((X2 @ Y0) => c_False) => (sF26 => Y2)) => Y2))) => Y1)) => Y1)))) @ X5)) = $false) | ((((X2 @ X4) => c_False)) = $true) | ((((^[Y0 : $i]: ((c_In @ Y0 @ X4) => (c_In @ Y0 @ X1))) @ (sK38 @ X1 @ X4))) = $false) | ($false = sF27)) )),
% 180.16/26.10 inference(pi_proxy_clausification,[],[f683])).
% 180.16/26.10 thf(f685,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : (((((^[Y0 : $i]: ((c_In @ Y0 @ X4) => (c_In @ Y0 @ X1))) @ (sK38 @ X1 @ X4))) = $false) | ((((^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: (((!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ sF24)))) => ((!! @ $o @ (^[Y2 : $o]: ((((X2 @ Y0) => c_False) => (sF26 => Y2)) => Y2))) => Y1)) => Y1)))) @ X5)) = $false) | ($false = sF27) | (c_False = $true) | ($false = ((X2 @ X4))) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f684])).
% 180.16/26.10 thf(f686,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((c_False = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ($false = ((!! @ $o @ (^[Y0 : $o]: (((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ X5) => (c_In @ Y1 @ sF24)))) => ((!! @ $o @ (^[Y1 : $o]: ((((X2 @ X5) => c_False) => (sF26 => Y1)) => Y1))) => Y0)) => Y0))))) | ($false = (((c_In @ (sK38 @ X1 @ X4) @ X4) => (c_In @ (sK38 @ X1 @ X4) @ X1)))) | ($false = sF27) | ($false = ((X2 @ X4)))) )),
% 180.16/26.10 inference(beta-eta_normalization,[],[f685])).
% 180.16/26.10 thf(f687,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : (((((^[Y0 : $o]: (((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ X5) => (c_In @ Y1 @ sF24)))) => ((!! @ $o @ (^[Y1 : $o]: ((((X2 @ X5) => c_False) => (sF26 => Y1)) => Y1))) => Y0)) => Y0)) @ (sK39 @ X5 @ X2))) = $false) | ($false = sF27) | ($false = ((X2 @ X4))) | (c_False = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ($false = (((c_In @ (sK38 @ X1 @ X4) @ X4) => (c_In @ (sK38 @ X1 @ X4) @ X1))))) )),
% 180.16/26.10 inference(sigma_proxy_clausification,[],[f686])).
% 180.16/26.10 thf(f688,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((c_False = $true) | ($false = ((X2 @ X4))) | (((c_In @ (sK38 @ X1 @ X4) @ X1)) = $false) | ((((^[Y0 : $o]: (((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ X5) => (c_In @ Y1 @ sF24)))) => ((!! @ $o @ (^[Y1 : $o]: ((((X2 @ X5) => c_False) => (sF26 => Y1)) => Y1))) => Y0)) => Y0)) @ (sK39 @ X5 @ X2))) = $false) | ($false = sF27) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f687])).
% 180.16/26.10 thf(f689,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ($false = sF27) | ($false = ((X2 @ X4))) | ((((^[Y0 : $o]: (((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ X5) => (c_In @ Y1 @ sF24)))) => ((!! @ $o @ (^[Y1 : $o]: ((((X2 @ X5) => c_False) => (sF26 => Y1)) => Y1))) => Y0)) => Y0)) @ (sK39 @ X5 @ X2))) = $false) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | (c_False = $true)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f687])).
% 180.16/26.10 thf(f690,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | ($false = ((X2 @ X4))) | ($false = sF27) | (c_False = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X5) => (c_In @ Y0 @ sF24)))) => ((!! @ $o @ (^[Y0 : $o]: ((((X2 @ X5) => c_False) => (sF26 => Y0)) => Y0))) => (sK39 @ X5 @ X2))) => (sK39 @ X5 @ X2))) = $false)) )),
% 180.16/26.10 inference(beta-eta_normalization,[],[f689])).
% 180.16/26.10 thf(f691,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ($false = sF27) | ($false = ((X2 @ X4))) | (c_False = $true) | (((sK39 @ X5 @ X2)) = $false)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f690])).
% 180.16/26.10 thf(f692,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | (c_False = $true) | ((((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X5) => (c_In @ Y0 @ sF24)))) => ((!! @ $o @ (^[Y0 : $o]: ((((X2 @ X5) => c_False) => (sF26 => Y0)) => Y0))) => (sK39 @ X5 @ X2)))) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ($false = sF27) | ($false = ((X2 @ X4)))) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f690])).
% 180.16/26.10 thf(f693,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X5) => (c_In @ Y0 @ sF24))))) = $false) | ((((!! @ $o @ (^[Y0 : $o]: ((((X2 @ X5) => c_False) => (sF26 => Y0)) => Y0))) => (sK39 @ X5 @ X2))) = $true) | ($false = ((X2 @ X4))) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | (c_False = $true) | ($false = sF27)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f692])).
% 180.16/26.10 thf(f694,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ((((!! @ $o @ (^[Y0 : $o]: ((((X2 @ X5) => c_False) => (sF26 => Y0)) => Y0))) => (sK39 @ X5 @ X2))) = $true) | ($false = sF27) | ($false = ((X2 @ X4))) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | ((((^[Y0 : $i]: ((c_In @ Y0 @ X5) => (c_In @ Y0 @ sF24))) @ (sK40 @ X5))) = $false) | (c_False = $true)) )),
% 180.16/26.10 inference(sigma_proxy_clausification,[],[f693])).
% 180.16/26.10 thf(f695,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : (($false = ((X2 @ X4))) | ($false = sF27) | ($false = ((!! @ $o @ (^[Y0 : $o]: ((((X2 @ X5) => c_False) => (sF26 => Y0)) => Y0))))) | (((sK39 @ X5 @ X2)) = $true) | ((((^[Y0 : $i]: ((c_In @ Y0 @ X5) => (c_In @ Y0 @ sF24))) @ (sK40 @ X5))) = $false) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (c_False = $true) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f694])).
% 180.16/26.10 thf(f696,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : (($false = ((X2 @ X4))) | ((((^[Y0 : $o]: ((((X2 @ X5) => c_False) => (sF26 => Y0)) => Y0)) @ (sK41 @ X5 @ X2))) = $false) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | (c_False = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ($false = sF27) | ((((^[Y0 : $i]: ((c_In @ Y0 @ X5) => (c_In @ Y0 @ sF24))) @ (sK40 @ X5))) = $false) | (((sK39 @ X5 @ X2)) = $true)) )),
% 180.16/26.10 inference(sigma_proxy_clausification,[],[f695])).
% 180.16/26.10 thf(f697,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ((((c_In @ (sK40 @ X5) @ X5) => (c_In @ (sK40 @ X5) @ sF24))) = $false) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | (((sK39 @ X5 @ X2)) = $true) | ($false = ((X2 @ X4))) | ($false = sF27) | (c_False = $true) | ((((((X2 @ X5) => c_False) => (sF26 => (sK41 @ X5 @ X2))) => (sK41 @ X5 @ X2))) = $false)) )),
% 180.16/26.10 inference(beta-eta_normalization,[],[f696])).
% 180.16/26.10 thf(f698,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ($false = sF27) | (((c_In @ (sK40 @ X5) @ sF24)) = $false) | ((((((X2 @ X5) => c_False) => (sF26 => (sK41 @ X5 @ X2))) => (sK41 @ X5 @ X2))) = $false) | (c_False = $true) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | ($false = ((X2 @ X4))) | (((sK39 @ X5 @ X2)) = $true)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f697])).
% 180.16/26.10 thf(f699,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((c_In @ (sK40 @ X5) @ X5)) = $true) | ((((((X2 @ X5) => c_False) => (sF26 => (sK41 @ X5 @ X2))) => (sK41 @ X5 @ X2))) = $false) | ($false = ((X2 @ X4))) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | (c_False = $true) | (((sK39 @ X5 @ X2)) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ($false = sF27)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f697])).
% 180.16/26.10 thf(f700,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((c_False = $true) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | ($false = sF27) | ($false = ((X2 @ X4))) | (((sK41 @ X5 @ X2)) = $false) | (((c_In @ (sK40 @ X5) @ X5)) = $true) | (((sK39 @ X5 @ X2)) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f699])).
% 180.16/26.10 thf(f701,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : (($false = sF27) | (((sK39 @ X5 @ X2)) = $true) | (((((X2 @ X5) => c_False) => (sF26 => (sK41 @ X5 @ X2)))) = $true) | ($false = ((X2 @ X4))) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (c_False = $true) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | (((c_In @ (sK40 @ X5) @ X5)) = $true)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f699])).
% 180.16/26.10 thf(f702,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | (((sK39 @ X5 @ X2)) = $true) | (c_False = $true) | ($false = ((X2 @ X4))) | (((c_In @ (sK40 @ X5) @ X5)) = $true) | (((sF26 => (sK41 @ X5 @ X2))) = $true) | ((((X2 @ X5) => c_False)) = $false) | ($false = sF27) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f701])).
% 180.16/26.10 thf(f703,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((c_In @ (sK40 @ X5) @ X5)) = $true) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | ($false = ((X2 @ X4))) | (c_False = $true) | ($false = sF27) | (sF26 = $false) | (((sK41 @ X5 @ X2)) = $true) | ((((X2 @ X5) => c_False)) = $false) | (((sK39 @ X5 @ X2)) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f702])).
% 180.16/26.10 thf(f705,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((sK39 @ X5 @ X2)) = $true) | ($false = ((X2 @ X4))) | (((X2 @ X5)) = $true) | (((c_In @ (sK40 @ X5) @ X5)) = $true) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | (c_False = $true) | ($false = sF27) | (((sK41 @ X5 @ X2)) = $true) | (sF26 = $false) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f703])).
% 180.16/26.10 thf(f706,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((sK41 @ X5 @ X2)) = $false) | ($false = ((X2 @ X4))) | (((c_In @ (sK40 @ X5) @ sF24)) = $false) | (c_False = $true) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((sK39 @ X5 @ X2)) = $true) | ($false = sF27)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f698])).
% 180.16/26.10 thf(f707,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((c_False = $true) | (((c_In @ (sK40 @ X5) @ sF24)) = $false) | (((((X2 @ X5) => c_False) => (sF26 => (sK41 @ X5 @ X2)))) = $true) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | (((sK39 @ X5 @ X2)) = $true) | ($false = sF27) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ($false = ((X2 @ X4)))) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f698])).
% 180.16/26.10 thf(f708,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((sK39 @ X5 @ X2)) = $true) | (c_False = $true) | ($false = ((X2 @ X4))) | (((c_In @ (sK40 @ X5) @ sF24)) = $false) | ((((X2 @ X5) => c_False)) = $false) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ($false = sF27) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | (((sF26 => (sK41 @ X5 @ X2))) = $true)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f707])).
% 180.16/26.10 thf(f710,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((sK39 @ X5 @ X2)) = $true) | ($false = sF27) | ($false = ((X2 @ X4))) | (((X2 @ X5)) = $true) | (((sF26 => (sK41 @ X5 @ X2))) = $true) | (c_False = $true) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ (sK40 @ X5) @ sF24)) = $false)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f708])).
% 180.16/26.10 thf(f711,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((sK39 @ X5 @ X2)) = $true) | (sF26 = $false) | (((X2 @ X5)) = $true) | (c_False = $true) | (((sK41 @ X5 @ X2)) = $true) | (((c_In @ (sK40 @ X5) @ sF24)) = $false) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | ($false = ((X2 @ X4))) | ($false = sF27) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f710])).
% 180.16/26.10 thf(f713,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((c_False = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X5) => (c_In @ Y0 @ sF24)))) => ((!! @ $o @ (^[Y0 : $o]: ((((X2 @ X5) => c_False) => (sF26 => Y0)) => Y0))) => (sK39 @ X5 @ X2))) => (sK39 @ X5 @ X2))) = $false) | (((c_In @ (sK38 @ X1 @ X4) @ X1)) = $false) | ($false = sF27) | ($false = ((X2 @ X4)))) )),
% 180.16/26.10 inference(beta-eta_normalization,[],[f688])).
% 180.16/26.10 thf(f714,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((sK39 @ X5 @ X2)) = $false) | ($false = ((X2 @ X4))) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ (sK38 @ X1 @ X4) @ X1)) = $false) | ($false = sF27) | (c_False = $true)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f713])).
% 180.16/26.10 thf(f715,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ($false = sF27) | (((c_In @ (sK38 @ X1 @ X4) @ X1)) = $false) | ((((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X5) => (c_In @ Y0 @ sF24)))) => ((!! @ $o @ (^[Y0 : $o]: ((((X2 @ X5) => c_False) => (sF26 => Y0)) => Y0))) => (sK39 @ X5 @ X2)))) = $true) | (c_False = $true) | ($false = ((X2 @ X4)))) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f713])).
% 180.16/26.10 thf(f716,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((c_In @ (sK38 @ X1 @ X4) @ X1)) = $false) | ($false = ((X2 @ X4))) | (c_False = $true) | ((((!! @ $o @ (^[Y0 : $o]: ((((X2 @ X5) => c_False) => (sF26 => Y0)) => Y0))) => (sK39 @ X5 @ X2))) = $true) | ($false = sF27) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X5) => (c_In @ Y0 @ sF24))))) = $false)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f715])).
% 180.16/26.10 thf(f717,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X5) => (c_In @ Y0 @ sF24))))) = $false) | (c_False = $true) | ($false = ((!! @ $o @ (^[Y0 : $o]: ((((X2 @ X5) => c_False) => (sF26 => Y0)) => Y0))))) | ($false = ((X2 @ X4))) | (((sK39 @ X5 @ X2)) = $true) | (((c_In @ (sK38 @ X1 @ X4) @ X1)) = $false) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ($false = sF27)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f716])).
% 180.16/26.10 thf(f718,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : (($false = sF27) | ((((^[Y0 : $i]: ((c_In @ Y0 @ X5) => (c_In @ Y0 @ sF24))) @ (sK42 @ X5))) = $false) | ($false = ((X2 @ X4))) | (c_False = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((sK39 @ X5 @ X2)) = $true) | (((c_In @ (sK38 @ X1 @ X4) @ X1)) = $false) | ($false = ((!! @ $o @ (^[Y0 : $o]: ((((X2 @ X5) => c_False) => (sF26 => Y0)) => Y0)))))) )),
% 180.16/26.10 inference(sigma_proxy_clausification,[],[f717])).
% 180.16/26.10 thf(f719,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : (($false = ((X2 @ X4))) | (c_False = $true) | ($false = sF27) | (((sK39 @ X5 @ X2)) = $true) | ((((^[Y0 : $i]: ((c_In @ Y0 @ X5) => (c_In @ Y0 @ sF24))) @ (sK42 @ X5))) = $false) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ((((^[Y0 : $o]: ((((X2 @ X5) => c_False) => (sF26 => Y0)) => Y0)) @ (sK43 @ X5 @ X2))) = $false) | (((c_In @ (sK38 @ X1 @ X4) @ X1)) = $false)) )),
% 180.16/26.10 inference(sigma_proxy_clausification,[],[f718])).
% 180.16/26.10 thf(f720,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : (($false = sF27) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ((((c_In @ (sK42 @ X5) @ X5) => (c_In @ (sK42 @ X5) @ sF24))) = $false) | ($false = ((X2 @ X4))) | ((((((X2 @ X5) => c_False) => (sF26 => (sK43 @ X5 @ X2))) => (sK43 @ X5 @ X2))) = $false) | (((sK39 @ X5 @ X2)) = $true) | (c_False = $true) | (((c_In @ (sK38 @ X1 @ X4) @ X1)) = $false)) )),
% 180.16/26.10 inference(beta-eta_normalization,[],[f719])).
% 180.16/26.10 thf(f722,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((c_In @ (sK38 @ X1 @ X4) @ X1)) = $false) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ($false = sF27) | (((c_In @ (sK42 @ X5) @ X5)) = $true) | ($false = ((X2 @ X4))) | (((sK39 @ X5 @ X2)) = $true) | ((((((X2 @ X5) => c_False) => (sF26 => (sK43 @ X5 @ X2))) => (sK43 @ X5 @ X2))) = $false) | (c_False = $true)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f720])).
% 180.16/26.10 thf(f723,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((c_In @ (sK42 @ X5) @ X5)) = $true) | (c_False = $true) | (((sK39 @ X5 @ X2)) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ($false = sF27) | (((c_In @ (sK38 @ X1 @ X4) @ X1)) = $false) | (((sK43 @ X5 @ X2)) = $false) | ($false = ((X2 @ X4)))) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f722])).
% 180.16/26.10 thf(f724,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((sK39 @ X5 @ X2)) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ($false = sF27) | (c_False = $true) | ($false = ((X2 @ X4))) | (((c_In @ (sK42 @ X5) @ X5)) = $true) | (((c_In @ (sK38 @ X1 @ X4) @ X1)) = $false) | (((((X2 @ X5) => c_False) => (sF26 => (sK43 @ X5 @ X2)))) = $true)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f722])).
% 180.16/26.10 thf(f725,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((c_False = $true) | (((c_In @ (sK38 @ X1 @ X4) @ X1)) = $false) | (((sF26 => (sK43 @ X5 @ X2))) = $true) | (((sK39 @ X5 @ X2)) = $true) | (((c_In @ (sK42 @ X5) @ X5)) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ($false = sF27) | ($false = ((X2 @ X4))) | ((((X2 @ X5) => c_False)) = $false)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f724])).
% 180.16/26.10 thf(f726,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : (((((X2 @ X5) => c_False)) = $false) | ($false = ((X2 @ X4))) | ($false = sF27) | (((sK43 @ X5 @ X2)) = $true) | (((sK39 @ X5 @ X2)) = $true) | (((c_In @ (sK38 @ X1 @ X4) @ X1)) = $false) | (((c_In @ (sK42 @ X5) @ X5)) = $true) | (sF26 = $false) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (c_False = $true)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f725])).
% 180.16/26.10 thf(f728,plain,(
% 180.16/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((sF26 = $false) | (((c_In @ (sK38 @ X1 @ X4) @ X1)) = $false) | ($false = ((X2 @ X4))) | (((c_In @ (sK42 @ X5) @ X5)) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((sK39 @ X5 @ X2)) = $true) | (((sK43 @ X5 @ X2)) = $true) | (c_False = $true) | (((X2 @ X5)) = $true) | ($false = sF27)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f726])).
% 180.16/26.10 thf(f780,plain,(
% 180.16/26.10 ((((^[Y0 : $i]: ((^[Y1 : $o]: ((^[Y2 : $o]: (!! @ $o @ (^[Y3 : $o]: ((Y1 => (Y2 => Y3)) => Y3)))))) @ ((^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ ((^[Y3 : $i]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y4))))))) @ Y2 @ Y1) @ ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ ((^[Y3 : $o]: (Y3 => c_False)) @ ((^[Y3 : $i]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y4))))))) @ Y1 @ Y2)) @ ((^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y4 @ Y3) @ ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $o]: (Y5 => c_False)) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y3 @ Y4)) @ ((^[Y5 : $i]: (?? @ $i @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $i]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y8))))))) @ Y6 @ Y5) @ ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $o]: (Y7 => c_False)) @ ((^[Y7 : $i]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y8))))))) @ Y5 @ Y6)) @ ((^[Y7 : $i]: (?? @ $i @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ (c_In @ Y8 @ Y7) @ ((^[Y9 : $o]: (Y9 => c_False)) @ ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y9) => (c_In @ Y11 @ Y10))))))) @ Y7 @ (c_Power @ Y8))))))) @ Y6)))))) @ Y4)))))) @ Y2)))))) @ Y0) @ ((^[Y1 : $o]: (Y1 => c_False)) @ ((^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ ((^[Y3 : $i]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y4))))))) @ Y2 @ Y1) @ ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ ((^[Y3 : $o]: (Y3 => c_False)) @ ((^[Y3 : $i]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y4))))))) @ Y1 @ Y2)) @ ((^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y4 @ Y3) @ ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $o]: (Y5 => c_False)) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y3 @ Y4)) @ ((^[Y5 : $i]: (?? @ $i @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $i]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y8))))))) @ Y6 @ Y5) @ ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $o]: (Y7 => c_False)) @ ((^[Y7 : $i]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y8))))))) @ Y5 @ Y6)) @ ((^[Y7 : $i]: (?? @ $i @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y9) => (c_In @ Y11 @ Y10))))))) @ Y8 @ Y7) @ ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ ((^[Y9 : $o]: (Y9 => c_False)) @ ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y9) => (c_In @ Y11 @ Y10))))))) @ Y7 @ Y8)) @ ((^[Y9 : $i]: (?? @ $i @ (^[Y10 : $i]: ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => (Y12 => Y13)) => Y13)))))) @ (c_In @ Y10 @ Y9) @ ((^[Y11 : $o]: (Y11 => c_False)) @ ((^[Y11 : $i]: ((^[Y12 : $i]: (!! @ $i @ (^[Y13 : $i]: ((c_In @ Y13 @ Y11) => (c_In @ Y13 @ Y12))))))) @ Y9 @ (c_Power @ Y10))))))) @ Y8)))))) @ Y6)))))) @ Y4)))))) @ Y2)))))) @ Y0)))) @ c_Empty)) = $true) | ($false = sF25)),
% 180.16/26.10 inference(iff_proxy_clausification,[],[f569])).
% 180.16/26.10 thf(f781,plain,(
% 180.16/26.10 (((!! @ $o @ (^[Y0 : $o]: (((?? @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y1) => (c_In @ Y3 @ c_Empty)))) => ((!! @ $o @ (^[Y3 : $o]: ((((!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ c_Empty) => (c_In @ Y4 @ Y1)))) => c_False) => ((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y1)))) => ((!! @ $o @ (^[Y6 : $o]: ((((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y1) => (c_In @ Y7 @ Y4)))) => c_False) => ((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y4)))) => ((!! @ $o @ (^[Y9 : $o]: ((((!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y4) => (c_In @ Y10 @ Y7)))) => c_False) => ((?? @ $i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((c_In @ Y10 @ Y7) => (((!! @ $i @ (^[Y12 : $i]: ((c_In @ Y12 @ Y7) => (c_In @ Y12 @ (c_Power @ Y10))))) => c_False) => Y11)) => Y11))))) => Y9)) => Y9))) => Y8)) => Y8))))) => Y6)) => Y6))) => Y5)) => Y5))))) => Y3)) => Y3))) => Y2)) => Y2))))) => (((?? @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y1) => (c_In @ Y3 @ c_Empty)))) => ((!! @ $o @ (^[Y3 : $o]: ((((!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ c_Empty) => (c_In @ Y4 @ Y1)))) => c_False) => ((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y1)))) => ((!! @ $o @ (^[Y6 : $o]: ((((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y1) => (c_In @ Y7 @ Y4)))) => c_False) => ((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y4)))) => ((!! @ $o @ (^[Y9 : $o]: ((((!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y4) => (c_In @ Y10 @ Y7)))) => c_False) => ((?? @ $i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((!! @ $i @ (^[Y12 : $i]: ((c_In @ Y12 @ Y10) => (c_In @ Y12 @ Y7)))) => ((!! @ $o @ (^[Y12 : $o]: ((((!! @ $i @ (^[Y13 : $i]: ((c_In @ Y13 @ Y7) => (c_In @ Y13 @ Y10)))) => c_False) => ((?? @ $i @ (^[Y13 : $i]: (!! @ $o @ (^[Y14 : $o]: (((c_In @ Y13 @ Y10) => (((!! @ $i @ (^[Y15 : $i]: ((c_In @ Y15 @ Y10) => (c_In @ Y15 @ (c_Power @ Y13))))) => c_False) => Y14)) => Y14))))) => Y12)) => Y12))) => Y11)) => Y11))))) => Y9)) => Y9))) => Y8)) => Y8))))) => Y6)) => Y6))) => Y5)) => Y5))))) => Y3)) => Y3))) => Y2)) => Y2))))) => c_False) => Y0)) => Y0)))) = $true) | ($false = sF25)),
% 180.16/26.10 inference(beta-eta_normalization,[],[f780])).
% 180.16/26.10 thf(f782,plain,(
% 180.16/26.10 ( ! [X1 : $o] : (((((^[Y0 : $o]: (((?? @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y1) => (c_In @ Y3 @ c_Empty)))) => ((!! @ $o @ (^[Y3 : $o]: ((((!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ c_Empty) => (c_In @ Y4 @ Y1)))) => c_False) => ((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y1)))) => ((!! @ $o @ (^[Y6 : $o]: ((((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y1) => (c_In @ Y7 @ Y4)))) => c_False) => ((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y4)))) => ((!! @ $o @ (^[Y9 : $o]: ((((!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y4) => (c_In @ Y10 @ Y7)))) => c_False) => ((?? @ $i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((c_In @ Y10 @ Y7) => (((!! @ $i @ (^[Y12 : $i]: ((c_In @ Y12 @ Y7) => (c_In @ Y12 @ (c_Power @ Y10))))) => c_False) => Y11)) => Y11))))) => Y9)) => Y9))) => Y8)) => Y8))))) => Y6)) => Y6))) => Y5)) => Y5))))) => Y3)) => Y3))) => Y2)) => Y2))))) => (((?? @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y1) => (c_In @ Y3 @ c_Empty)))) => ((!! @ $o @ (^[Y3 : $o]: ((((!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ c_Empty) => (c_In @ Y4 @ Y1)))) => c_False) => ((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y1)))) => ((!! @ $o @ (^[Y6 : $o]: ((((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y1) => (c_In @ Y7 @ Y4)))) => c_False) => ((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y4)))) => ((!! @ $o @ (^[Y9 : $o]: ((((!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y4) => (c_In @ Y10 @ Y7)))) => c_False) => ((?? @ $i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((!! @ $i @ (^[Y12 : $i]: ((c_In @ Y12 @ Y10) => (c_In @ Y12 @ Y7)))) => ((!! @ $o @ (^[Y12 : $o]: ((((!! @ $i @ (^[Y13 : $i]: ((c_In @ Y13 @ Y7) => (c_In @ Y13 @ Y10)))) => c_False) => ((?? @ $i @ (^[Y13 : $i]: (!! @ $o @ (^[Y14 : $o]: (((c_In @ Y13 @ Y10) => (((!! @ $i @ (^[Y15 : $i]: ((c_In @ Y15 @ Y10) => (c_In @ Y15 @ (c_Power @ Y13))))) => c_False) => Y14)) => Y14))))) => Y12)) => Y12))) => Y11)) => Y11))))) => Y9)) => Y9))) => Y8)) => Y8))))) => Y6)) => Y6))) => Y5)) => Y5))))) => Y3)) => Y3))) => Y2)) => Y2))))) => c_False) => Y0)) => Y0)) @ X1)) = $true) | ($false = sF25)) )),
% 180.16/26.10 inference(pi_proxy_clausification,[],[f781])).
% 180.16/26.10 thf(f783,plain,(
% 180.16/26.10 ( ! [X1 : $o] : (($false = sF25) | (((((?? @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: (((!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ c_Empty)))) => ((!! @ $o @ (^[Y2 : $o]: ((((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ c_Empty) => (c_In @ Y3 @ Y0)))) => c_False) => ((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y0)))) => ((!! @ $o @ (^[Y5 : $o]: ((((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y0) => (c_In @ Y6 @ Y3)))) => c_False) => ((?? @ $i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ Y3)))) => ((!! @ $o @ (^[Y8 : $o]: ((((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y3) => (c_In @ Y9 @ Y6)))) => c_False) => ((?? @ $i @ (^[Y9 : $i]: (!! @ $o @ (^[Y10 : $o]: (((c_In @ Y9 @ Y6) => (((!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y6) => (c_In @ Y11 @ (c_Power @ Y9))))) => c_False) => Y10)) => Y10))))) => Y8)) => Y8))) => Y7)) => Y7))))) => Y5)) => Y5))) => Y4)) => Y4))))) => Y2)) => Y2))) => Y1)) => Y1))))) => (((?? @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: (((!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ c_Empty)))) => ((!! @ $o @ (^[Y2 : $o]: ((((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ c_Empty) => (c_In @ Y3 @ Y0)))) => c_False) => ((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y0)))) => ((!! @ $o @ (^[Y5 : $o]: ((((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y0) => (c_In @ Y6 @ Y3)))) => c_False) => ((?? @ $i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ Y3)))) => ((!! @ $o @ (^[Y8 : $o]: ((((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y3) => (c_In @ Y9 @ Y6)))) => c_False) => ((?? @ $i @ (^[Y9 : $i]: (!! @ $o @ (^[Y10 : $o]: (((!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y9) => (c_In @ Y11 @ Y6)))) => ((!! @ $o @ (^[Y11 : $o]: ((((!! @ $i @ (^[Y12 : $i]: ((c_In @ Y12 @ Y6) => (c_In @ Y12 @ Y9)))) => c_False) => ((?? @ $i @ (^[Y12 : $i]: (!! @ $o @ (^[Y13 : $o]: (((c_In @ Y12 @ Y9) => (((!! @ $i @ (^[Y14 : $i]: ((c_In @ Y14 @ Y9) => (c_In @ Y14 @ (c_Power @ Y12))))) => c_False) => Y13)) => Y13))))) => Y11)) => Y11))) => Y10)) => Y10))))) => Y8)) => Y8))) => Y7)) => Y7))))) => Y5)) => Y5))) => Y4)) => Y4))))) => Y2)) => Y2))) => Y1)) => Y1))))) => c_False) => X1)) => X1)) = $true)) )),
% 180.16/26.10 inference(beta-eta_normalization,[],[f782])).
% 180.16/26.10 thf(f784,plain,(
% 180.16/26.10 ( ! [X1 : $o] : (($false = sF25) | ($true = X1) | ((((?? @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: (((!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ c_Empty)))) => ((!! @ $o @ (^[Y2 : $o]: ((((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ c_Empty) => (c_In @ Y3 @ Y0)))) => c_False) => ((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y0)))) => ((!! @ $o @ (^[Y5 : $o]: ((((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y0) => (c_In @ Y6 @ Y3)))) => c_False) => ((?? @ $i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ Y3)))) => ((!! @ $o @ (^[Y8 : $o]: ((((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y3) => (c_In @ Y9 @ Y6)))) => c_False) => ((?? @ $i @ (^[Y9 : $i]: (!! @ $o @ (^[Y10 : $o]: (((c_In @ Y9 @ Y6) => (((!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y6) => (c_In @ Y11 @ (c_Power @ Y9))))) => c_False) => Y10)) => Y10))))) => Y8)) => Y8))) => Y7)) => Y7))))) => Y5)) => Y5))) => Y4)) => Y4))))) => Y2)) => Y2))) => Y1)) => Y1))))) => (((?? @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: (((!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ c_Empty)))) => ((!! @ $o @ (^[Y2 : $o]: ((((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ c_Empty) => (c_In @ Y3 @ Y0)))) => c_False) => ((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y0)))) => ((!! @ $o @ (^[Y5 : $o]: ((((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y0) => (c_In @ Y6 @ Y3)))) => c_False) => ((?? @ $i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ Y3)))) => ((!! @ $o @ (^[Y8 : $o]: ((((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y3) => (c_In @ Y9 @ Y6)))) => c_False) => ((?? @ $i @ (^[Y9 : $i]: (!! @ $o @ (^[Y10 : $o]: (((!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y9) => (c_In @ Y11 @ Y6)))) => ((!! @ $o @ (^[Y11 : $o]: ((((!! @ $i @ (^[Y12 : $i]: ((c_In @ Y12 @ Y6) => (c_In @ Y12 @ Y9)))) => c_False) => ((?? @ $i @ (^[Y12 : $i]: (!! @ $o @ (^[Y13 : $o]: (((c_In @ Y12 @ Y9) => (((!! @ $i @ (^[Y14 : $i]: ((c_In @ Y14 @ Y9) => (c_In @ Y14 @ (c_Power @ Y12))))) => c_False) => Y13)) => Y13))))) => Y11)) => Y11))) => Y10)) => Y10))))) => Y8)) => Y8))) => Y7)) => Y7))))) => Y5)) => Y5))) => Y4)) => Y4))))) => Y2)) => Y2))) => Y1)) => Y1))))) => c_False) => X1))) = $false)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f783])).
% 180.16/26.10 thf(f786,plain,(
% 180.16/26.10 ( ! [X1 : $o] : ((((?? @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: (((!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ c_Empty)))) => ((!! @ $o @ (^[Y2 : $o]: ((((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ c_Empty) => (c_In @ Y3 @ Y0)))) => c_False) => ((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y0)))) => ((!! @ $o @ (^[Y5 : $o]: ((((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y0) => (c_In @ Y6 @ Y3)))) => c_False) => ((?? @ $i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ Y3)))) => ((!! @ $o @ (^[Y8 : $o]: ((((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y3) => (c_In @ Y9 @ Y6)))) => c_False) => ((?? @ $i @ (^[Y9 : $i]: (!! @ $o @ (^[Y10 : $o]: (((c_In @ Y9 @ Y6) => (((!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y6) => (c_In @ Y11 @ (c_Power @ Y9))))) => c_False) => Y10)) => Y10))))) => Y8)) => Y8))) => Y7)) => Y7))))) => Y5)) => Y5))) => Y4)) => Y4))))) => Y2)) => Y2))) => Y1)) => Y1)))))) = $true) | ($true = X1) | ($false = sF25)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f784])).
% 180.16/26.10 thf(f787,plain,(
% 180.16/26.10 ( ! [X1 : $o] : (($true = X1) | ((((^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: (((!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ c_Empty)))) => ((!! @ $o @ (^[Y2 : $o]: ((((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ c_Empty) => (c_In @ Y3 @ Y0)))) => c_False) => ((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y0)))) => ((!! @ $o @ (^[Y5 : $o]: ((((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y0) => (c_In @ Y6 @ Y3)))) => c_False) => ((?? @ $i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ Y3)))) => ((!! @ $o @ (^[Y8 : $o]: ((((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y3) => (c_In @ Y9 @ Y6)))) => c_False) => ((?? @ $i @ (^[Y9 : $i]: (!! @ $o @ (^[Y10 : $o]: (((c_In @ Y9 @ Y6) => (((!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y6) => (c_In @ Y11 @ (c_Power @ Y9))))) => c_False) => Y10)) => Y10))))) => Y8)) => Y8))) => Y7)) => Y7))))) => Y5)) => Y5))) => Y4)) => Y4))))) => Y2)) => Y2))) => Y1)) => Y1)))) @ sK47)) = $true) | ($false = sF25)) )),
% 180.16/26.10 inference(sigma_proxy_clausification,[],[f786])).
% 180.16/26.10 thf(f788,plain,(
% 180.16/26.10 ( ! [X1 : $o] : (($true = X1) | ($false = sF25) | (((!! @ $o @ (^[Y0 : $o]: (((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ sK47) => (c_In @ Y1 @ c_Empty)))) => ((!! @ $o @ (^[Y1 : $o]: ((((!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ c_Empty) => (c_In @ Y2 @ sK47)))) => c_False) => ((?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ sK47)))) => ((!! @ $o @ (^[Y4 : $o]: ((((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ sK47) => (c_In @ Y5 @ Y2)))) => c_False) => ((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y2)))) => ((!! @ $o @ (^[Y7 : $o]: ((((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y2) => (c_In @ Y8 @ Y5)))) => c_False) => ((?? @ $i @ (^[Y8 : $i]: (!! @ $o @ (^[Y9 : $o]: (((c_In @ Y8 @ Y5) => (((!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y5) => (c_In @ Y10 @ (c_Power @ Y8))))) => c_False) => Y9)) => Y9))))) => Y7)) => Y7))) => Y6)) => Y6))))) => Y4)) => Y4))) => Y3)) => Y3))))) => Y1)) => Y1))) => Y0)) => Y0)))) = $true)) )),
% 180.16/26.10 inference(beta-eta_normalization,[],[f787])).
% 180.16/26.10 thf(f789,plain,(
% 180.16/26.10 ( ! [X2 : $o,X1 : $o] : (($false = sF25) | ($true = X1) | ((((^[Y0 : $o]: (((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ sK47) => (c_In @ Y1 @ c_Empty)))) => ((!! @ $o @ (^[Y1 : $o]: ((((!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ c_Empty) => (c_In @ Y2 @ sK47)))) => c_False) => ((?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ sK47)))) => ((!! @ $o @ (^[Y4 : $o]: ((((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ sK47) => (c_In @ Y5 @ Y2)))) => c_False) => ((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y2)))) => ((!! @ $o @ (^[Y7 : $o]: ((((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y2) => (c_In @ Y8 @ Y5)))) => c_False) => ((?? @ $i @ (^[Y8 : $i]: (!! @ $o @ (^[Y9 : $o]: (((c_In @ Y8 @ Y5) => (((!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y5) => (c_In @ Y10 @ (c_Power @ Y8))))) => c_False) => Y9)) => Y9))))) => Y7)) => Y7))) => Y6)) => Y6))))) => Y4)) => Y4))) => Y3)) => Y3))))) => Y1)) => Y1))) => Y0)) => Y0)) @ X2)) = $true)) )),
% 180.16/26.10 inference(pi_proxy_clausification,[],[f788])).
% 180.16/26.10 thf(f790,plain,(
% 180.16/26.10 ( ! [X2 : $o,X1 : $o] : ((((((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ sK47) => (c_In @ Y0 @ c_Empty)))) => ((!! @ $o @ (^[Y0 : $o]: ((((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ c_Empty) => (c_In @ Y1 @ sK47)))) => c_False) => ((?? @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y1) => (c_In @ Y3 @ sK47)))) => ((!! @ $o @ (^[Y3 : $o]: ((((!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ sK47) => (c_In @ Y4 @ Y1)))) => c_False) => ((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y1)))) => ((!! @ $o @ (^[Y6 : $o]: ((((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y1) => (c_In @ Y7 @ Y4)))) => c_False) => ((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((c_In @ Y7 @ Y4) => (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y4) => (c_In @ Y9 @ (c_Power @ Y7))))) => c_False) => Y8)) => Y8))))) => Y6)) => Y6))) => Y5)) => Y5))))) => Y3)) => Y3))) => Y2)) => Y2))))) => Y0)) => Y0))) => X2)) => X2)) = $true) | ($false = sF25) | ($true = X1)) )),
% 180.16/26.10 inference(beta-eta_normalization,[],[f789])).
% 180.16/26.10 thf(f791,plain,(
% 180.16/26.10 ( ! [X2 : $o,X1 : $o] : (($true = X2) | ($false = sF25) | ((((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ sK47) => (c_In @ Y0 @ c_Empty)))) => ((!! @ $o @ (^[Y0 : $o]: ((((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ c_Empty) => (c_In @ Y1 @ sK47)))) => c_False) => ((?? @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y1) => (c_In @ Y3 @ sK47)))) => ((!! @ $o @ (^[Y3 : $o]: ((((!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ sK47) => (c_In @ Y4 @ Y1)))) => c_False) => ((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y1)))) => ((!! @ $o @ (^[Y6 : $o]: ((((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y1) => (c_In @ Y7 @ Y4)))) => c_False) => ((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((c_In @ Y7 @ Y4) => (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y4) => (c_In @ Y9 @ (c_Power @ Y7))))) => c_False) => Y8)) => Y8))))) => Y6)) => Y6))) => Y5)) => Y5))))) => Y3)) => Y3))) => Y2)) => Y2))))) => Y0)) => Y0))) => X2))) = $false) | ($true = X1)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f790])).
% 180.16/26.10 thf(f792,plain,(
% 180.16/26.10 ( ! [X2 : $o,X1 : $o] : (($false = (((!! @ $o @ (^[Y0 : $o]: ((((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ c_Empty) => (c_In @ Y1 @ sK47)))) => c_False) => ((?? @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y1) => (c_In @ Y3 @ sK47)))) => ((!! @ $o @ (^[Y3 : $o]: ((((!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ sK47) => (c_In @ Y4 @ Y1)))) => c_False) => ((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y1)))) => ((!! @ $o @ (^[Y6 : $o]: ((((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y1) => (c_In @ Y7 @ Y4)))) => c_False) => ((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((c_In @ Y7 @ Y4) => (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y4) => (c_In @ Y9 @ (c_Power @ Y7))))) => c_False) => Y8)) => Y8))))) => Y6)) => Y6))) => Y5)) => Y5))))) => Y3)) => Y3))) => Y2)) => Y2))))) => Y0)) => Y0))) => X2))) | ($false = sF25) | ($true = X1) | ($true = X2)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f791])).
% 180.16/26.10 thf(f798,plain,(
% 180.16/26.10 ( ! [X2 : $o,X1 : $o] : (($false = sF25) | (((!! @ $o @ (^[Y0 : $o]: ((((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ c_Empty) => (c_In @ Y1 @ sK47)))) => c_False) => ((?? @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y1) => (c_In @ Y3 @ sK47)))) => ((!! @ $o @ (^[Y3 : $o]: ((((!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ sK47) => (c_In @ Y4 @ Y1)))) => c_False) => ((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y1)))) => ((!! @ $o @ (^[Y6 : $o]: ((((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y1) => (c_In @ Y7 @ Y4)))) => c_False) => ((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((c_In @ Y7 @ Y4) => (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y4) => (c_In @ Y9 @ (c_Power @ Y7))))) => c_False) => Y8)) => Y8))))) => Y6)) => Y6))) => Y5)) => Y5))))) => Y3)) => Y3))) => Y2)) => Y2))))) => Y0)) => Y0)))) = $true) | ($true = X1) | ($true = X2)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f792])).
% 180.16/26.10 thf(f799,plain,(
% 180.16/26.10 ( ! [X2 : $o,X3 : $o,X1 : $o] : (((((^[Y0 : $o]: ((((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ c_Empty) => (c_In @ Y1 @ sK47)))) => c_False) => ((?? @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y1) => (c_In @ Y3 @ sK47)))) => ((!! @ $o @ (^[Y3 : $o]: ((((!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ sK47) => (c_In @ Y4 @ Y1)))) => c_False) => ((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y1)))) => ((!! @ $o @ (^[Y6 : $o]: ((((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y1) => (c_In @ Y7 @ Y4)))) => c_False) => ((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((c_In @ Y7 @ Y4) => (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y4) => (c_In @ Y9 @ (c_Power @ Y7))))) => c_False) => Y8)) => Y8))))) => Y6)) => Y6))) => Y5)) => Y5))))) => Y3)) => Y3))) => Y2)) => Y2))))) => Y0)) => Y0)) @ X3)) = $true) | ($false = sF25) | ($true = X1) | ($true = X2)) )),
% 180.16/26.10 inference(pi_proxy_clausification,[],[f798])).
% 180.16/26.10 thf(f800,plain,(
% 180.16/26.10 ( ! [X2 : $o,X3 : $o,X1 : $o] : (($true = X1) | ($true = X2) | ($false = sF25) | ((((((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ c_Empty) => (c_In @ Y0 @ sK47)))) => c_False) => ((?? @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: (((!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ sK47)))) => ((!! @ $o @ (^[Y2 : $o]: ((((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ sK47) => (c_In @ Y3 @ Y0)))) => c_False) => ((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y0)))) => ((!! @ $o @ (^[Y5 : $o]: ((((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y0) => (c_In @ Y6 @ Y3)))) => c_False) => ((?? @ $i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((c_In @ Y6 @ Y3) => (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y3) => (c_In @ Y8 @ (c_Power @ Y6))))) => c_False) => Y7)) => Y7))))) => Y5)) => Y5))) => Y4)) => Y4))))) => Y2)) => Y2))) => Y1)) => Y1))))) => X3)) => X3)) = $true)) )),
% 180.16/26.10 inference(beta-eta_normalization,[],[f799])).
% 180.16/26.10 thf(f801,plain,(
% 180.16/26.10 ( ! [X2 : $o,X3 : $o,X1 : $o] : (($true = X2) | ($false = sF25) | ($true = X3) | ($true = X1) | (((((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ c_Empty) => (c_In @ Y0 @ sK47)))) => c_False) => ((?? @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: (((!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ sK47)))) => ((!! @ $o @ (^[Y2 : $o]: ((((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ sK47) => (c_In @ Y3 @ Y0)))) => c_False) => ((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y0)))) => ((!! @ $o @ (^[Y5 : $o]: ((((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y0) => (c_In @ Y6 @ Y3)))) => c_False) => ((?? @ $i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((c_In @ Y6 @ Y3) => (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y3) => (c_In @ Y8 @ (c_Power @ Y6))))) => c_False) => Y7)) => Y7))))) => Y5)) => Y5))) => Y4)) => Y4))))) => Y2)) => Y2))) => Y1)) => Y1))))) => X3))) = $false)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f800])).
% 180.16/26.10 thf(f803,plain,(
% 180.16/26.10 ( ! [X2 : $o,X3 : $o,X1 : $o] : (($false = sF25) | ((((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ c_Empty) => (c_In @ Y0 @ sK47)))) => c_False)) = $true) | ($true = X1) | ($true = X3) | ($true = X2)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f801])).
% 180.16/26.10 thf(f804,plain,(
% 180.16/26.10 ( ! [X2 : $o,X3 : $o,X1 : $o] : (($false = sF25) | ($true = X2) | (((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ c_Empty) => (c_In @ Y0 @ sK47))))) = $false) | ($true = X3) | ($true = X1) | (c_False = $true)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f803])).
% 180.16/26.10 thf(f805,plain,(
% 180.16/26.10 ( ! [X2 : $o,X3 : $o,X1 : $o] : (($false = sF25) | ($true = X2) | ($true = X3) | ($true = X1) | ($false = (((^[Y0 : $i]: ((c_In @ Y0 @ c_Empty) => (c_In @ Y0 @ sK47))) @ sK48))) | (c_False = $true)) )),
% 180.16/26.10 inference(sigma_proxy_clausification,[],[f804])).
% 180.16/26.10 thf(f806,plain,(
% 180.16/26.10 ( ! [X2 : $o,X3 : $o,X1 : $o] : (($true = X2) | ($true = X3) | ($true = X1) | ((((c_In @ sK48 @ c_Empty) => (c_In @ sK48 @ sK47))) = $false) | ($false = sF25) | (c_False = $true)) )),
% 180.16/26.10 inference(beta-eta_normalization,[],[f805])).
% 180.16/26.10 thf(f808,plain,(
% 180.16/26.10 ( ! [X2 : $o,X3 : $o,X1 : $o] : (($true = X1) | (((c_In @ sK48 @ c_Empty)) = $true) | ($true = X3) | (c_False = $true) | ($true = X2) | ($false = sF25)) )),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f806])).
% 180.16/26.10 thf(f20333,plain,(
% 180.16/26.10 ((((?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty))) => c_False)) = $true)),
% 180.16/26.10 inference(beta-eta_normalization,[],[f542])).
% 180.16/26.10 thf(f20334,plain,(
% 180.16/26.10 (((?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty)))) = $false) | (c_False = $true)),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f20333])).
% 180.16/26.10 thf(f20335,plain,(
% 180.16/26.10 ( ! [X1 : $i] : ((c_False = $true) | ($false = (((^[Y0 : $i]: (c_In @ Y0 @ c_Empty)) @ X1)))) )),
% 180.16/26.10 inference(pi_proxy_clausification,[],[f20334])).
% 180.16/26.10 thf(f20336,plain,(
% 180.16/26.10 ( ! [X1 : $i] : ((((c_In @ X1 @ c_Empty)) = $false) | (c_False = $true)) )),
% 180.16/26.10 inference(beta-eta_normalization,[],[f20335])).
% 180.16/26.10 thf(f20337,plain,(
% 180.16/26.10 ((((^[Y0 : $o]: (Y0 => c_False)) @ sF27)) = $false) | (sF28 = $true)),
% 180.16/26.10 inference(iff_proxy_clausification,[],[f573])).
% 180.16/26.10 thf(f20341,plain,(
% 180.16/26.10 ($false = ((sF27 => c_False))) | (sF28 = $true)),
% 180.16/26.10 inference(beta-eta_normalization,[],[f20337])).
% 180.16/26.10 thf(f20342,plain,(
% 180.16/26.10 (sF28 = $true) | (c_False = $false)),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f20341])).
% 180.16/26.10 thf(f20343,plain,(
% 180.16/26.10 (sF27 = $true) | (sF28 = $true)),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f20341])).
% 180.16/26.10 thf(f20346,plain,(
% 180.16/26.10 ($false = (((^[Y0 : $o]: (Y0 => c_False)) @ sF25))) | (sF26 = $true)),
% 180.16/26.10 inference(iff_proxy_clausification,[],[f570])).
% 180.16/26.10 thf(f20350,plain,(
% 180.16/26.10 (sF26 = $true) | ($false = ((sF25 => c_False)))),
% 180.16/26.10 inference(beta-eta_normalization,[],[f20346])).
% 180.16/26.10 thf(f20352,plain,(
% 180.16/26.10 (sF25 = $true) | (sF26 = $true)),
% 180.16/26.10 inference(imp_proxy_clausification,[],[f20350])).
% 180.16/26.10 thf(f20357,definition,(
% 180.16/26.10 spl1885_2 <=> ! [X2 : $o] : ($true = X2)),
% 180.16/26.10 introduced(definition,[new_symbols(definition,[spl1885_2])],[avatar_definition])).
% 180.16/26.10 thf(f20358,plain,(
% 180.16/26.10 ( ! [X2 : $o] : (($true = X2)) ) | ~spl1885_2),
% 180.16/26.10 inference(avatar_component_clause,[],[f20357])).
% 180.16/26.10 thf(f20361,definition,(
% 180.16/26.10 spl1885_3 <=> ! [X0 : $i,X1 : $i] : ((((c_In @ (sK29 @ X1 @ X0) @ X0)) = $true) | (((c_In @ X0 @ (c_Power @ X1))) = $true))),
% 180.16/26.10 introduced(definition,[new_symbols(definition,[spl1885_3])],[avatar_definition])).
% 180.16/26.10 thf(f20362,plain,(
% 180.16/26.10 ( ! [X0 : $i,X1 : $i] : ((((c_In @ X0 @ (c_Power @ X1))) = $true) | (((c_In @ (sK29 @ X1 @ X0) @ X0)) = $true)) ) | ~spl1885_3),
% 180.16/26.10 inference(avatar_component_clause,[],[f20361])).
% 180.16/26.10 thf(f20363,plain,(
% 180.16/26.10 spl1885_2 | spl1885_3),
% 180.16/26.10 inference(avatar_split_clause,[],[f594,f20361,f20357])).
% 180.16/26.10 thf(f20365,definition,(
% 180.16/26.10 spl1885_4 <=> ! [X0 : $i,X1 : $i] : ((((c_In @ X0 @ (c_Power @ X1))) = $true) | (((c_In @ (sK29 @ X1 @ X0) @ X1)) = $false))),
% 180.16/26.10 introduced(definition,[new_symbols(definition,[spl1885_4])],[avatar_definition])).
% 180.16/26.10 thf(f20366,plain,(
% 180.16/26.10 ( ! [X0 : $i,X1 : $i] : ((((c_In @ X0 @ (c_Power @ X1))) = $true) | (((c_In @ (sK29 @ X1 @ X0) @ X1)) = $false)) ) | ~spl1885_4),
% 180.16/26.10 inference(avatar_component_clause,[],[f20365])).
% 180.16/26.10 thf(f20367,plain,(
% 180.16/26.10 spl1885_4 | spl1885_2),
% 180.16/26.10 inference(avatar_split_clause,[],[f593,f20357,f20365])).
% 180.16/26.10 thf(f20385,definition,(
% 180.16/26.10 spl1885_9 <=> (c_False = $false)),
% 180.16/26.10 introduced(definition,[new_symbols(definition,[spl1885_9])],[avatar_definition])).
% 180.16/26.10 thf(f20387,plain,(
% 180.16/26.10 (c_False = $false) | ~spl1885_9),
% 180.16/26.10 inference(avatar_component_clause,[],[f20385])).
% 180.16/26.10 thf(f20390,definition,(
% 180.16/26.10 spl1885_10 <=> (c_False = $true)),
% 180.16/26.10 introduced(definition,[new_symbols(definition,[spl1885_10])],[avatar_definition])).
% 180.16/26.10 thf(f20392,plain,(
% 180.16/26.10 (c_False = $true) | ~spl1885_10),
% 180.16/26.10 inference(avatar_component_clause,[],[f20390])).
% 180.16/26.10 thf(f20399,definition,(
% 180.16/26.10 spl1885_12 <=> (sF27 = $true)),
% 180.16/26.10 introduced(definition,[new_symbols(definition,[spl1885_12])],[avatar_definition])).
% 180.16/26.10 thf(f20401,plain,(
% 180.16/26.10 (sF27 = $true) | ~spl1885_12),
% 180.16/26.10 inference(avatar_component_clause,[],[f20399])).
% 180.16/26.10 thf(f20421,definition,(
% 180.16/26.10 spl1885_17 <=> (sF26 = $true)),
% 180.16/26.10 introduced(definition,[new_symbols(definition,[spl1885_17])],[avatar_definition])).
% 181.52/26.10 thf(f20423,plain,(
% 181.52/26.10 (sF26 = $true) | ~spl1885_17),
% 181.52/26.10 inference(avatar_component_clause,[],[f20421])).
% 181.52/26.10 thf(f20432,definition,(
% 181.52/26.10 spl1885_19 <=> (sF26 = $false)),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_19])],[avatar_definition])).
% 181.52/26.10 thf(f20434,plain,(
% 181.52/26.10 (sF26 = $false) | ~spl1885_19),
% 181.52/26.10 inference(avatar_component_clause,[],[f20432])).
% 181.52/26.10 thf(f20436,definition,(
% 181.52/26.10 spl1885_20 <=> ! [X3 : ($i > $i),X4 : $i,X5 : $i,X2 : ($i > $o),X1 : $i] : ((((sK39 @ X5 @ X2)) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((sK41 @ X5 @ X2)) = $true) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | (((c_In @ (sK40 @ X5) @ X5)) = $true) | (((X2 @ X5)) = $true) | ($false = ((X2 @ X4))))),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_20])],[avatar_definition])).
% 181.52/26.10 thf(f20437,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((sK41 @ X5 @ X2)) = $true) | (((c_In @ (sK40 @ X5) @ X5)) = $true) | (((sK39 @ X5 @ X2)) = $true) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | (((X2 @ X5)) = $true) | ($false = ((X2 @ X4))) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false)) ) | ~spl1885_20),
% 181.52/26.10 inference(avatar_component_clause,[],[f20436])).
% 181.52/26.10 thf(f20439,definition,(
% 181.52/26.10 spl1885_21 <=> ($false = sF27)),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_21])],[avatar_definition])).
% 181.52/26.10 thf(f20441,plain,(
% 181.52/26.10 ($false = sF27) | ~spl1885_21),
% 181.52/26.10 inference(avatar_component_clause,[],[f20439])).
% 181.52/26.10 thf(f20442,plain,(
% 181.52/26.10 spl1885_19 | spl1885_10 | spl1885_20 | spl1885_21),
% 181.52/26.10 inference(avatar_split_clause,[],[f705,f20439,f20436,f20390,f20432])).
% 181.52/26.10 thf(f20444,definition,(
% 181.52/26.10 spl1885_22 <=> ! [X5 : $i,X4 : $i,X3 : ($i > $i),X2 : ($i > $o),X1 : $i] : ((((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((sK39 @ X5 @ X2)) = $true) | (((c_In @ (sK40 @ X5) @ X5)) = $true) | (((sK41 @ X5 @ X2)) = $false) | ($false = ((X2 @ X4))))),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_22])],[avatar_definition])).
% 181.52/26.10 thf(f20445,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((sK41 @ X5 @ X2)) = $false) | ($false = ((X2 @ X4))) | (((sK39 @ X5 @ X2)) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | (((c_In @ (sK40 @ X5) @ X5)) = $true)) ) | ~spl1885_22),
% 181.52/26.10 inference(avatar_component_clause,[],[f20444])).
% 181.52/26.10 thf(f20446,plain,(
% 181.52/26.10 spl1885_10 | spl1885_21 | spl1885_22),
% 181.52/26.10 inference(avatar_split_clause,[],[f700,f20444,f20439,f20390])).
% 181.52/26.10 thf(f20448,definition,(
% 181.52/26.10 spl1885_23 <=> ! [X3 : ($i > $i),X4 : $i,X5 : $i,X2 : ($i > $o),X1 : $i] : ((((sK39 @ X5 @ X2)) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ($false = ((X2 @ X4))) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | (((c_In @ (sK40 @ X5) @ sF24)) = $false) | (((sK41 @ X5 @ X2)) = $true) | (((X2 @ X5)) = $true))),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_23])],[avatar_definition])).
% 181.52/26.10 thf(f20449,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((c_In @ (sK40 @ X5) @ sF24)) = $false) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | ($false = ((X2 @ X4))) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((sK41 @ X5 @ X2)) = $true) | (((sK39 @ X5 @ X2)) = $true) | (((X2 @ X5)) = $true)) ) | ~spl1885_23),
% 181.52/26.10 inference(avatar_component_clause,[],[f20448])).
% 181.52/26.10 thf(f20450,plain,(
% 181.52/26.10 spl1885_21 | spl1885_19 | spl1885_23 | spl1885_10),
% 181.52/26.10 inference(avatar_split_clause,[],[f711,f20390,f20448,f20432,f20439])).
% 181.52/26.10 thf(f20452,definition,(
% 181.52/26.10 spl1885_24 <=> ! [X3 : ($i > $i),X4 : $i,X5 : $i,X2 : ($i > $o),X1 : $i] : ((((sK41 @ X5 @ X2)) = $false) | (((sK39 @ X5 @ X2)) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | (((c_In @ (sK40 @ X5) @ sF24)) = $false) | ($false = ((X2 @ X4))))),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_24])],[avatar_definition])).
% 181.52/26.10 thf(f20453,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((c_In @ (sK40 @ X5) @ sF24)) = $false) | (((sK41 @ X5 @ X2)) = $false) | (((sK39 @ X5 @ X2)) = $true) | ($false = ((X2 @ X4))) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true)) ) | ~spl1885_24),
% 181.52/26.10 inference(avatar_component_clause,[],[f20452])).
% 181.52/26.10 thf(f20454,plain,(
% 181.52/26.10 spl1885_24 | spl1885_21 | spl1885_10),
% 181.52/26.10 inference(avatar_split_clause,[],[f706,f20390,f20439,f20452])).
% 181.52/26.10 thf(f20456,definition,(
% 181.52/26.10 spl1885_25 <=> ! [X2 : ($i > $o),X3 : ($i > $i),X4 : $i,X5 : $i,X1 : $i] : ((((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true) | (((sK39 @ X5 @ X2)) = $false) | ($false = ((X2 @ X4))) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false))),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_25])],[avatar_definition])).
% 181.52/26.10 thf(f20457,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((sK39 @ X5 @ X2)) = $false) | ($false = ((X2 @ X4))) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ (sK38 @ X1 @ X4) @ X4)) = $true)) ) | ~spl1885_25),
% 181.52/26.10 inference(avatar_component_clause,[],[f20456])).
% 181.52/26.10 thf(f20458,plain,(
% 181.52/26.10 spl1885_10 | spl1885_21 | spl1885_25),
% 181.52/26.10 inference(avatar_split_clause,[],[f691,f20456,f20439,f20390])).
% 181.52/26.10 thf(f20460,definition,(
% 181.52/26.10 spl1885_26 <=> ! [X2 : ($i > $o),X3 : ($i > $i),X4 : $i,X5 : $i,X1 : $i] : ((((c_In @ (sK38 @ X1 @ X4) @ X1)) = $false) | (((X2 @ X5)) = $true) | (((sK43 @ X5 @ X2)) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ (sK42 @ X5) @ X5)) = $true) | (((sK39 @ X5 @ X2)) = $true) | ($false = ((X2 @ X4))))),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_26])],[avatar_definition])).
% 181.52/26.10 thf(f20461,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((sK43 @ X5 @ X2)) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((sK39 @ X5 @ X2)) = $true) | (((X2 @ X5)) = $true) | ($false = ((X2 @ X4))) | (((c_In @ (sK38 @ X1 @ X4) @ X1)) = $false) | (((c_In @ (sK42 @ X5) @ X5)) = $true)) ) | ~spl1885_26),
% 181.52/26.10 inference(avatar_component_clause,[],[f20460])).
% 181.52/26.10 thf(f20462,plain,(
% 181.52/26.10 spl1885_21 | spl1885_19 | spl1885_10 | spl1885_26),
% 181.52/26.10 inference(avatar_split_clause,[],[f728,f20460,f20390,f20432,f20439])).
% 181.52/26.10 thf(f20464,definition,(
% 181.52/26.10 spl1885_27 <=> ! [X3 : ($i > $i),X4 : $i,X5 : $i,X2 : ($i > $o),X1 : $i] : ((((c_In @ (sK42 @ X5) @ X5)) = $true) | ($false = ((X2 @ X4))) | (((sK43 @ X5 @ X2)) = $false) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ (sK38 @ X1 @ X4) @ X1)) = $false) | (((sK39 @ X5 @ X2)) = $true))),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_27])],[avatar_definition])).
% 181.52/26.10 thf(f20465,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((sK43 @ X5 @ X2)) = $false) | ($false = ((X2 @ X4))) | (((c_In @ (sK38 @ X1 @ X4) @ X1)) = $false) | (((sK39 @ X5 @ X2)) = $true) | (((c_In @ (sK42 @ X5) @ X5)) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false)) ) | ~spl1885_27),
% 181.52/26.10 inference(avatar_component_clause,[],[f20464])).
% 181.52/26.10 thf(f20466,plain,(
% 181.52/26.10 spl1885_27 | spl1885_21 | spl1885_10),
% 181.52/26.10 inference(avatar_split_clause,[],[f723,f20390,f20439,f20464])).
% 181.52/26.10 thf(f20476,definition,(
% 181.52/26.10 spl1885_30 <=> ! [X3 : ($i > $i),X4 : $i,X5 : $i,X2 : ($i > $o),X1 : $i] : ((((sK39 @ X5 @ X2)) = $false) | (((c_In @ (sK38 @ X1 @ X4) @ X1)) = $false) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ($false = ((X2 @ X4))))),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_30])],[avatar_definition])).
% 181.52/26.10 thf(f20477,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X1 : $i,X4 : $i,X5 : $i] : ((((sK39 @ X5 @ X2)) = $false) | (((c_In @ (sK38 @ X1 @ X4) @ X1)) = $false) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ($false = ((X2 @ X4)))) ) | ~spl1885_30),
% 181.52/26.10 inference(avatar_component_clause,[],[f20476])).
% 181.52/26.10 thf(f20478,plain,(
% 181.52/26.10 spl1885_30 | spl1885_21 | spl1885_10),
% 181.52/26.10 inference(avatar_split_clause,[],[f714,f20390,f20439,f20476])).
% 181.52/26.10 thf(f20514,definition,(
% 181.52/26.10 spl1885_39 <=> ($false = sF25)),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_39])],[avatar_definition])).
% 181.52/26.10 thf(f20516,plain,(
% 181.52/26.10 ($false = sF25) | ~spl1885_39),
% 181.52/26.10 inference(avatar_component_clause,[],[f20514])).
% 181.52/26.10 thf(f20519,definition,(
% 181.52/26.10 spl1885_40 <=> (((c_In @ sK48 @ c_Empty)) = $true)),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_40])],[avatar_definition])).
% 181.52/26.10 thf(f20521,plain,(
% 181.52/26.10 (((c_In @ sK48 @ c_Empty)) = $true) | ~spl1885_40),
% 181.52/26.10 inference(avatar_component_clause,[],[f20519])).
% 181.52/26.10 thf(f20522,plain,(
% 181.52/26.10 spl1885_2 | spl1885_2 | spl1885_40 | spl1885_2 | spl1885_39 | spl1885_10),
% 181.52/26.10 inference(avatar_split_clause,[],[f808,f20390,f20514,f20357,f20519,f20357,f20357])).
% 181.52/26.10 thf(f20880,definition,(
% 181.52/26.10 spl1885_128 <=> (sF25 = $true)),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_128])],[avatar_definition])).
% 181.52/26.10 thf(f20882,plain,(
% 181.52/26.10 (sF25 = $true) | ~spl1885_128),
% 181.52/26.10 inference(avatar_component_clause,[],[f20880])).
% 181.52/26.10 thf(f29296,definition,(
% 181.52/26.10 spl1885_2135 <=> ! [X1 : $i] : (((c_In @ X1 @ c_Empty)) = $false)),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_2135])],[avatar_definition])).
% 181.52/26.10 thf(f29297,plain,(
% 181.52/26.10 ( ! [X1 : $i] : ((((c_In @ X1 @ c_Empty)) = $false)) ) | ~spl1885_2135),
% 181.52/26.10 inference(avatar_component_clause,[],[f29296])).
% 181.52/26.10 thf(f29298,plain,(
% 181.52/26.10 spl1885_2135 | spl1885_10),
% 181.52/26.10 inference(avatar_split_clause,[],[f20336,f20390,f29296])).
% 181.52/26.10 thf(f29305,definition,(
% 181.52/26.10 spl1885_2137 <=> (sF28 = $true)),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_2137])],[avatar_definition])).
% 181.52/26.10 thf(f29308,plain,(
% 181.52/26.10 spl1885_12 | spl1885_2137),
% 181.52/26.10 inference(avatar_split_clause,[],[f20343,f29305,f20399])).
% 181.52/26.10 thf(f29309,plain,(
% 181.52/26.10 spl1885_9 | spl1885_2137),
% 181.52/26.10 inference(avatar_split_clause,[],[f20342,f29305,f20385])).
% 181.52/26.10 thf(f29310,plain,(
% 181.52/26.10 ~spl1885_2137),
% 181.52/26.10 inference(avatar_split_clause,[],[f574,f29305])).
% 181.52/26.10 thf(f29312,plain,(
% 181.52/26.10 spl1885_128 | spl1885_17),
% 181.52/26.10 inference(avatar_split_clause,[],[f20352,f20421,f20880])).
% 181.52/26.10 thf(f29317,plain,(
% 181.52/26.10 ($false = $true) | (~spl1885_2 | ~spl1885_9)),
% 181.52/26.10 inference(forward_demodulation,[],[f20387,f20358])).
% 181.52/26.10 thf(f29318,plain,(
% 181.52/26.10 $false | (~spl1885_2 | ~spl1885_9)),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f29317])).
% 181.52/26.10 thf(f29319,plain,(
% 181.52/26.10 ~spl1885_2 | ~spl1885_9),
% 181.52/26.10 inference(avatar_contradiction_clause,[],[f29318])).
% 181.52/26.10 thf(f29323,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $o),X1 : $i] : (((((^[Y0 : $i]: (~ (X2 @ Y0))) @ (sK8 @ (^[Y0 : $i]: (~ (X2 @ Y0)))))) != $true) | ((((^[Y0 : $i]: (~ (X2 @ Y0))) @ X1)) = $true)) )),
% 181.52/26.10 inference(primitive_instantiation,[],[f449])).
% 181.52/26.10 thf(f29326,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $o),X1 : $i] : ((((~ (X2 @ X1))) = $true) | (((~ (X2 @ (sK8 @ (^[Y0 : $i]: (~ (X2 @ Y0))))))) != $true)) )),
% 181.52/26.10 inference(beta-eta_normalization,[],[f29323])).
% 181.52/26.10 thf(f29327,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $o),X1 : $i] : ((((~ (X2 @ (sK8 @ (^[Y0 : $i]: (~ (X2 @ Y0))))))) != $true) | (((X2 @ X1)) = $false)) )),
% 181.52/26.10 inference(not_proxy_clausification,[],[f29326])).
% 181.52/26.10 thf(f29328,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $o),X1 : $i] : ((((X2 @ (sK8 @ (^[Y0 : $i]: (~ (X2 @ Y0)))))) = $true) | (((X2 @ X1)) = $false)) )),
% 181.52/26.10 inference(not_proxy_clausification,[],[f29327])).
% 181.52/26.10 thf(f29331,plain,(
% 181.52/26.10 ($false = $true) | (~spl1885_9 | ~spl1885_10)),
% 181.52/26.10 inference(forward_demodulation,[],[f20392,f20387])).
% 181.52/26.10 thf(f29332,plain,(
% 181.52/26.10 $false | (~spl1885_9 | ~spl1885_10)),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f29331])).
% 181.52/26.10 thf(f29333,plain,(
% 181.52/26.10 ~spl1885_9 | ~spl1885_10),
% 181.52/26.10 inference(avatar_contradiction_clause,[],[f29332])).
% 181.52/26.10 thf(f29384,plain,(
% 181.52/26.10 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | ((((^[Y0 : $i]: (~ (c_In @ X0 @ Y0))) @ X1)) = $true) | ($true = (((^[Y0 : $i]: (~ (c_In @ X0 @ Y0))) @ X0))) | (((c_In @ X0 @ X2)) = $false)) )),
% 181.52/26.10 inference(superposition,[],[f448,f29328])).
% 181.52/26.10 thf(f29391,plain,(
% 181.52/26.10 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: (~ (c_In @ X0 @ Y0))) @ X0))) | ((((^[Y0 : $i]: (~ (c_In @ X0 @ Y0))) @ X1)) = $true) | (((c_In @ X0 @ X2)) = $false)) )),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f29384])).
% 181.52/26.10 thf(f29392,plain,(
% 181.52/26.10 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((~ (c_In @ X0 @ X1))) = $true) | (((c_In @ X0 @ X2)) = $false) | (((~ (c_In @ X0 @ X0))) = $true)) )),
% 181.52/26.10 inference(beta-eta_normalization,[],[f29391])).
% 181.52/26.10 thf(f29393,plain,(
% 181.52/26.10 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((~ (c_In @ X0 @ X0))) = $true) | (((c_In @ X0 @ X2)) = $false) | (((c_In @ X0 @ X1)) = $false)) )),
% 181.52/26.10 inference(not_proxy_clausification,[],[f29392])).
% 181.52/26.10 thf(f29394,plain,(
% 181.52/26.10 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((c_In @ X0 @ X2)) = $false) | (((c_In @ X0 @ X0)) = $false) | (((c_In @ X0 @ X1)) = $false)) )),
% 181.52/26.10 inference(not_proxy_clausification,[],[f29393])).
% 181.52/26.10 thf(f29400,plain,(
% 181.52/26.10 ($false = $true) | (~spl1885_12 | ~spl1885_21)),
% 181.52/26.10 inference(superposition,[],[f20441,f20401])).
% 181.52/26.10 thf(f29404,plain,(
% 181.52/26.10 $false | (~spl1885_12 | ~spl1885_21)),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f29400])).
% 181.52/26.10 thf(f29405,plain,(
% 181.52/26.10 ~spl1885_12 | ~spl1885_21),
% 181.52/26.10 inference(avatar_contradiction_clause,[],[f29404])).
% 181.52/26.10 thf(f29414,plain,(
% 181.52/26.10 ($false = $true) | (~spl1885_39 | ~spl1885_128)),
% 181.52/26.10 inference(forward_demodulation,[],[f20882,f20516])).
% 181.52/26.10 thf(f29415,plain,(
% 181.52/26.10 $false | (~spl1885_39 | ~spl1885_128)),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f29414])).
% 181.52/26.10 thf(f29416,plain,(
% 181.52/26.10 ~spl1885_39 | ~spl1885_128),
% 181.52/26.10 inference(avatar_contradiction_clause,[],[f29415])).
% 181.52/26.10 thf(f29417,plain,(
% 181.52/26.10 ($false = $true) | (~spl1885_40 | ~spl1885_2135)),
% 181.52/26.10 inference(forward_demodulation,[],[f20521,f29297])).
% 181.52/26.10 thf(f29418,plain,(
% 181.52/26.10 $false | (~spl1885_40 | ~spl1885_2135)),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f29417])).
% 181.52/26.10 thf(f29419,plain,(
% 181.52/26.10 ~spl1885_40 | ~spl1885_2135),
% 181.52/26.10 inference(avatar_contradiction_clause,[],[f29418])).
% 181.52/26.10 thf(f29423,plain,(
% 181.52/26.10 ($false = $true) | (~spl1885_17 | ~spl1885_19)),
% 181.52/26.10 inference(forward_demodulation,[],[f20423,f20434])).
% 181.52/26.10 thf(f29424,plain,(
% 181.52/26.10 $false | (~spl1885_17 | ~spl1885_19)),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f29423])).
% 181.52/26.10 thf(f29425,plain,(
% 181.52/26.10 ~spl1885_17 | ~spl1885_19),
% 181.52/26.10 inference(avatar_contradiction_clause,[],[f29424])).
% 181.52/26.10 thf(f29440,plain,(
% 181.52/26.10 ( ! [X0 : $i,X1 : $i] : (($false != $false) | (((c_In @ X0 @ X1)) = $false) | (((c_In @ X0 @ X0)) = $false)) )),
% 181.52/26.10 inference(equality_factoring,[],[f29394])).
% 181.52/26.10 thf(f29441,plain,(
% 181.52/26.10 ( ! [X0 : $i,X1 : $i] : ((((c_In @ X0 @ X1)) = $false) | (((c_In @ X0 @ X0)) = $false)) )),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f29440])).
% 181.52/26.10 thf(f29455,plain,(
% 181.52/26.10 ( ! [X0 : $i] : ((((c_In @ X0 @ X0)) = $false) | ($false != $false)) )),
% 181.52/26.10 inference(equality_factoring,[],[f29441])).
% 181.52/26.10 thf(f29456,plain,(
% 181.52/26.10 ( ! [X0 : $i] : ((((c_In @ X0 @ X0)) = $false)) )),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f29455])).
% 181.52/26.10 thf(f29505,plain,(
% 181.52/26.10 ( ! [X0 : $i] : ((((c_In @ (sK29 @ X0 @ (c_Power @ X0)) @ (c_Power @ X0))) = $true) | ($false = $true)) ) | ~spl1885_3),
% 181.52/26.10 inference(superposition,[],[f29456,f20362])).
% 181.52/26.10 thf(f29510,plain,(
% 181.52/26.10 ( ! [X0 : $i] : ((((c_In @ (sK29 @ X0 @ (c_Power @ X0)) @ (c_Power @ X0))) = $true)) ) | ~spl1885_3),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f29505])).
% 181.52/26.10 thf(f30530,plain,(
% 181.52/26.10 ( ! [X0 : $i] : (($false = $true) | ($false = ((c_In @ (sK29 @ X0 @ (c_Power @ X0)) @ X0)))) ) | ~spl1885_4),
% 181.52/26.10 inference(superposition,[],[f20366,f29456])).
% 181.52/26.10 thf(f30540,plain,(
% 181.52/26.10 ( ! [X0 : $i] : (($false = ((c_In @ (sK29 @ X0 @ (c_Power @ X0)) @ X0)))) ) | ~spl1885_4),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f30530])).
% 181.52/26.10 thf(f32291,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X0 : $i,X1 : $i] : ((((sK41 @ X1 @ (^[Y0 : $i]: (~ (Y0 = X1))))) = $true) | (((c_In @ (sK40 @ X1) @ X1)) = $true) | (((c_In @ (sK38 @ X2 @ X0) @ X0)) = $true) | (((sK39 @ X1 @ (^[Y0 : $i]: (~ (Y0 = X1))))) = $true) | (X0 = X1) | (((c_In @ X2 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false)) ) | ~spl1885_20),
% 181.52/26.10 inference(leibniz_equality_elimination,[],[f20437])).
% 181.52/26.10 thf(f32364,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X0 : $i,X1 : $i] : ((((sK43 @ X1 @ (^[Y0 : $i]: (~ (Y0 = X1))))) = $true) | (((sK39 @ X1 @ (^[Y0 : $i]: (~ (Y0 = X1))))) = $true) | (((c_In @ X2 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (X0 = X1) | (((c_In @ (sK38 @ X2 @ X0) @ X2)) = $false) | (((c_In @ (sK42 @ X1) @ X1)) = $true)) ) | ~spl1885_26),
% 181.52/26.10 inference(leibniz_equality_elimination,[],[f20461])).
% 181.52/26.10 thf(f32710,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X0 : $i,X1 : $i,X6 : ($i > $i),X4 : $i,X5 : $i] : (((((^[Y0 : $i]: (~ (Y0 = X0))) @ X4)) = $false) | (X0 = X2) | (((c_In @ (sK40 @ X0) @ X0)) = $true) | (((c_In @ (sK38 @ X1 @ X2) @ X2)) = $true) | (((c_In @ (sK38 @ X5 @ X4) @ X4)) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((sK39 @ X0 @ (^[Y0 : $i]: (~ (Y0 = X0))))) = $true) | (((c_In @ (sK40 @ X0) @ X0)) = $true) | (((sK39 @ X0 @ (^[Y0 : $i]: (~ (Y0 = X0))))) = $true) | (((c_In @ X5 @ (X6 @ (X6 @ (X6 @ sF20))))) = $false) | ($false = $true)) ) | (~spl1885_20 | ~spl1885_22)),
% 181.52/26.10 inference(superposition,[],[f32291,f20445])).
% 181.52/26.10 thf(f32712,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X0 : $i,X1 : $i,X6 : ($i > $i),X4 : $i,X5 : $i] : ((((c_In @ (sK38 @ X5 @ X4) @ X4)) = $true) | (((c_In @ (sK40 @ X0) @ X0)) = $true) | (((c_In @ (sK38 @ X1 @ X2) @ X2)) = $true) | (X0 = X2) | (((c_In @ X5 @ (X6 @ (X6 @ (X6 @ sF20))))) = $false) | ((((^[Y0 : $i]: (~ (Y0 = X0))) @ X4)) = $false) | ($false = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((sK39 @ X0 @ (^[Y0 : $i]: (~ (Y0 = X0))))) = $true)) ) | (~spl1885_20 | ~spl1885_22)),
% 181.52/26.10 inference(duplicate_literal_removal,[],[f32710])).
% 181.52/26.10 thf(f32713,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X0 : $i,X1 : $i,X6 : ($i > $i),X4 : $i,X5 : $i] : (((((^[Y0 : $i]: (~ (Y0 = X0))) @ X4)) = $false) | (((c_In @ X5 @ (X6 @ (X6 @ (X6 @ sF20))))) = $false) | (((c_In @ (sK38 @ X5 @ X4) @ X4)) = $true) | (((c_In @ (sK38 @ X1 @ X2) @ X2)) = $true) | (((sK39 @ X0 @ (^[Y0 : $i]: (~ (Y0 = X0))))) = $true) | (X0 = X2) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ (sK40 @ X0) @ X0)) = $true)) ) | (~spl1885_20 | ~spl1885_22)),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f32712])).
% 181.52/26.10 thf(f32714,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X0 : $i,X1 : $i,X6 : ($i > $i),X4 : $i,X5 : $i] : ((X0 = X2) | (((c_In @ X5 @ (X6 @ (X6 @ (X6 @ sF20))))) = $false) | (((sK39 @ X0 @ (^[Y0 : $i]: (~ (Y0 = X0))))) = $true) | (((~ (X4 = X0))) = $false) | (((c_In @ (sK40 @ X0) @ X0)) = $true) | (((c_In @ (sK38 @ X5 @ X4) @ X4)) = $true) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ (sK38 @ X1 @ X2) @ X2)) = $true)) ) | (~spl1885_20 | ~spl1885_22)),
% 181.52/26.10 inference(beta-eta_normalization,[],[f32713])).
% 181.52/26.10 thf(f32715,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X0 : $i,X1 : $i,X6 : ($i > $i),X4 : $i,X5 : $i] : ((((X4 = X0)) = $true) | (((c_In @ X5 @ (X6 @ (X6 @ (X6 @ sF20))))) = $false) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (X0 = X2) | (((sK39 @ X0 @ (^[Y0 : $i]: (~ (Y0 = X0))))) = $true) | (((c_In @ (sK38 @ X1 @ X2) @ X2)) = $true) | (((c_In @ (sK40 @ X0) @ X0)) = $true) | (((c_In @ (sK38 @ X5 @ X4) @ X4)) = $true)) ) | (~spl1885_20 | ~spl1885_22)),
% 181.52/26.10 inference(not_proxy_clausification,[],[f32714])).
% 181.52/26.10 thf(f32716,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X0 : $i,X1 : $i,X6 : ($i > $i),X4 : $i,X5 : $i] : ((((sK39 @ X0 @ (^[Y0 : $i]: (~ (Y0 = X0))))) = $true) | (((c_In @ (sK38 @ X1 @ X2) @ X2)) = $true) | (((c_In @ (sK38 @ X5 @ X4) @ X4)) = $true) | (X0 = X2) | (X0 = X4) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ X5 @ (X6 @ (X6 @ (X6 @ sF20))))) = $false) | (((c_In @ (sK40 @ X0) @ X0)) = $true)) ) | (~spl1885_20 | ~spl1885_22)),
% 181.52/26.10 inference(equality_proxy_clausification,[],[f32715])).
% 181.52/26.10 thf(f32761,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $i),X3 : $i,X0 : $i,X1 : $i,X6 : ($i > $i),X4 : $i,X5 : $i] : (($false = ((c_In @ (sK38 @ X1 @ X3) @ X1))) | (((c_In @ (sK38 @ X5 @ X4) @ X5)) = $false) | (((c_In @ X5 @ (X6 @ (X6 @ (X6 @ sF20))))) = $false) | ($false = $true) | (((c_In @ (sK42 @ X0) @ X0)) = $true) | (X0 = X3) | (((c_In @ X1 @ (X2 @ (X2 @ (X2 @ sF20))))) = $false) | ((((^[Y0 : $i]: (~ (Y0 = X0))) @ X4)) = $false) | (((sK39 @ X0 @ (^[Y0 : $i]: (~ (Y0 = X0))))) = $true) | (((sK39 @ X0 @ (^[Y0 : $i]: (~ (Y0 = X0))))) = $true) | (((c_In @ (sK42 @ X0) @ X0)) = $true)) ) | (~spl1885_26 | ~spl1885_27)),
% 181.52/26.10 inference(superposition,[],[f32364,f20465])).
% 181.52/26.10 thf(f32763,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $i),X3 : $i,X0 : $i,X1 : $i,X6 : ($i > $i),X4 : $i,X5 : $i] : ((((c_In @ X5 @ (X6 @ (X6 @ (X6 @ sF20))))) = $false) | ((((^[Y0 : $i]: (~ (Y0 = X0))) @ X4)) = $false) | ($false = $true) | (((sK39 @ X0 @ (^[Y0 : $i]: (~ (Y0 = X0))))) = $true) | (X0 = X3) | (((c_In @ X1 @ (X2 @ (X2 @ (X2 @ sF20))))) = $false) | (((c_In @ (sK38 @ X5 @ X4) @ X5)) = $false) | (((c_In @ (sK42 @ X0) @ X0)) = $true) | ($false = ((c_In @ (sK38 @ X1 @ X3) @ X1)))) ) | (~spl1885_26 | ~spl1885_27)),
% 181.52/26.10 inference(duplicate_literal_removal,[],[f32761])).
% 181.52/26.10 thf(f32764,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $i),X3 : $i,X0 : $i,X1 : $i,X6 : ($i > $i),X4 : $i,X5 : $i] : (($false = ((c_In @ (sK38 @ X1 @ X3) @ X1))) | (((c_In @ (sK38 @ X5 @ X4) @ X5)) = $false) | (((sK39 @ X0 @ (^[Y0 : $i]: (~ (Y0 = X0))))) = $true) | (X0 = X3) | (((c_In @ X1 @ (X2 @ (X2 @ (X2 @ sF20))))) = $false) | (((c_In @ (sK42 @ X0) @ X0)) = $true) | (((c_In @ X5 @ (X6 @ (X6 @ (X6 @ sF20))))) = $false) | ((((^[Y0 : $i]: (~ (Y0 = X0))) @ X4)) = $false)) ) | (~spl1885_26 | ~spl1885_27)),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f32763])).
% 181.52/26.10 thf(f32765,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $i),X3 : $i,X0 : $i,X1 : $i,X6 : ($i > $i),X4 : $i,X5 : $i] : ((((c_In @ (sK42 @ X0) @ X0)) = $true) | (X0 = X3) | (((sK39 @ X0 @ (^[Y0 : $i]: (~ (Y0 = X0))))) = $true) | (((c_In @ X1 @ (X2 @ (X2 @ (X2 @ sF20))))) = $false) | (((~ (X4 = X0))) = $false) | ($false = ((c_In @ (sK38 @ X1 @ X3) @ X1))) | (((c_In @ (sK38 @ X5 @ X4) @ X5)) = $false) | (((c_In @ X5 @ (X6 @ (X6 @ (X6 @ sF20))))) = $false)) ) | (~spl1885_26 | ~spl1885_27)),
% 181.52/26.10 inference(beta-eta_normalization,[],[f32764])).
% 181.52/26.10 thf(f32766,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $i),X3 : $i,X0 : $i,X1 : $i,X6 : ($i > $i),X4 : $i,X5 : $i] : (($false = ((c_In @ (sK38 @ X1 @ X3) @ X1))) | (((X4 = X0)) = $true) | (((c_In @ X5 @ (X6 @ (X6 @ (X6 @ sF20))))) = $false) | (X0 = X3) | (((sK39 @ X0 @ (^[Y0 : $i]: (~ (Y0 = X0))))) = $true) | (((c_In @ X1 @ (X2 @ (X2 @ (X2 @ sF20))))) = $false) | (((c_In @ (sK42 @ X0) @ X0)) = $true) | (((c_In @ (sK38 @ X5 @ X4) @ X5)) = $false)) ) | (~spl1885_26 | ~spl1885_27)),
% 181.52/26.10 inference(not_proxy_clausification,[],[f32765])).
% 181.52/26.10 thf(f32767,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $i),X3 : $i,X0 : $i,X1 : $i,X6 : ($i > $i),X4 : $i,X5 : $i] : ((((sK39 @ X0 @ (^[Y0 : $i]: (~ (Y0 = X0))))) = $true) | ($false = ((c_In @ (sK38 @ X1 @ X3) @ X1))) | (((c_In @ (sK42 @ X0) @ X0)) = $true) | (((c_In @ X1 @ (X2 @ (X2 @ (X2 @ sF20))))) = $false) | (X0 = X3) | (((c_In @ X5 @ (X6 @ (X6 @ (X6 @ sF20))))) = $false) | (((c_In @ (sK38 @ X5 @ X4) @ X5)) = $false) | (X0 = X4)) ) | (~spl1885_26 | ~spl1885_27)),
% 181.52/26.10 inference(equality_proxy_clausification,[],[f32766])).
% 181.52/26.10 thf(f33046,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X8 : $i,X6 : ($i > $i),X9 : ($i > $i),X7 : $i,X4 : $i,X5 : ($i > $i)] : ((((c_In @ (sK38 @ X3 @ X4) @ X4)) = $true) | (((c_In @ (sK40 @ X0) @ X0)) = $true) | (((c_In @ X3 @ (X6 @ (X6 @ (X6 @ sF20))))) = $false) | (((c_In @ (sK38 @ X1 @ X2) @ X2)) = $true) | ($false = $true) | (((c_In @ X1 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false) | ($false = ((c_In @ X8 @ (X9 @ (X9 @ (X9 @ sF20)))))) | ((((^[Y0 : $i]: (~ (Y0 = X0))) @ X7)) = $false) | (X0 = X4) | (X0 = X2) | (((c_In @ (sK38 @ X8 @ X7) @ X7)) = $true)) ) | (~spl1885_20 | ~spl1885_22 | ~spl1885_25)),
% 181.52/26.10 inference(superposition,[],[f32716,f20457])).
% 181.52/26.10 thf(f33049,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X8 : $i,X6 : ($i > $i),X9 : ($i > $i),X7 : $i,X4 : $i,X5 : ($i > $i)] : (($false = ((c_In @ X8 @ (X9 @ (X9 @ (X9 @ sF20)))))) | (((c_In @ (sK38 @ X8 @ X7) @ X7)) = $true) | (((c_In @ (sK38 @ X3 @ X4) @ X4)) = $true) | (X0 = X2) | (((c_In @ (sK38 @ X1 @ X2) @ X2)) = $true) | ((((^[Y0 : $i]: (~ (Y0 = X0))) @ X7)) = $false) | (X0 = X4) | (((c_In @ (sK40 @ X0) @ X0)) = $true) | (((c_In @ X1 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false) | (((c_In @ X3 @ (X6 @ (X6 @ (X6 @ sF20))))) = $false)) ) | (~spl1885_20 | ~spl1885_22 | ~spl1885_25)),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f33046])).
% 181.52/26.10 thf(f33050,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X8 : $i,X6 : ($i > $i),X9 : ($i > $i),X7 : $i,X4 : $i,X5 : ($i > $i)] : ((((c_In @ (sK40 @ X0) @ X0)) = $true) | (((c_In @ (sK38 @ X3 @ X4) @ X4)) = $true) | (X0 = X2) | (((c_In @ (sK38 @ X1 @ X2) @ X2)) = $true) | (((~ (X7 = X0))) = $false) | (X0 = X4) | ($false = ((c_In @ X8 @ (X9 @ (X9 @ (X9 @ sF20)))))) | (((c_In @ (sK38 @ X8 @ X7) @ X7)) = $true) | (((c_In @ X3 @ (X6 @ (X6 @ (X6 @ sF20))))) = $false) | (((c_In @ X1 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false)) ) | (~spl1885_20 | ~spl1885_22 | ~spl1885_25)),
% 181.52/26.10 inference(beta-eta_normalization,[],[f33049])).
% 181.52/26.10 thf(f33051,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X8 : $i,X6 : ($i > $i),X9 : ($i > $i),X7 : $i,X4 : $i,X5 : ($i > $i)] : (($false = ((c_In @ X8 @ (X9 @ (X9 @ (X9 @ sF20)))))) | (((c_In @ (sK38 @ X8 @ X7) @ X7)) = $true) | (X0 = X2) | (((c_In @ (sK38 @ X1 @ X2) @ X2)) = $true) | (((c_In @ (sK38 @ X3 @ X4) @ X4)) = $true) | (((c_In @ X3 @ (X6 @ (X6 @ (X6 @ sF20))))) = $false) | (((X7 = X0)) = $true) | (((c_In @ (sK40 @ X0) @ X0)) = $true) | (((c_In @ X1 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false) | (X0 = X4)) ) | (~spl1885_20 | ~spl1885_22 | ~spl1885_25)),
% 181.52/26.10 inference(not_proxy_clausification,[],[f33050])).
% 181.52/26.10 thf(f33052,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X8 : $i,X6 : ($i > $i),X9 : ($i > $i),X7 : $i,X4 : $i,X5 : ($i > $i)] : ((((c_In @ (sK40 @ X0) @ X0)) = $true) | (X0 = X2) | (((c_In @ (sK38 @ X1 @ X2) @ X2)) = $true) | ($false = ((c_In @ X8 @ (X9 @ (X9 @ (X9 @ sF20)))))) | (((c_In @ (sK38 @ X3 @ X4) @ X4)) = $true) | (X0 = X4) | (X0 = X7) | (((c_In @ (sK38 @ X8 @ X7) @ X7)) = $true) | (((c_In @ X1 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false) | (((c_In @ X3 @ (X6 @ (X6 @ (X6 @ sF20))))) = $false)) ) | (~spl1885_20 | ~spl1885_22 | ~spl1885_25)),
% 181.52/26.10 inference(equality_proxy_clausification,[],[f33051])).
% 181.52/26.10 thf(f33066,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X0 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : ($i > $i),X7 : $i,X4 : $i,X5 : ($i > $i)] : ((X0 = X6) | (((c_In @ X7 @ (X9 @ (X9 @ (X9 @ sF20))))) = $false) | (((c_In @ (sK38 @ X7 @ X8) @ X7)) = $false) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ (sK42 @ X0) @ X0)) = $true) | (X0 = X2) | (((c_In @ X4 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false) | ((((^[Y0 : $i]: (~ (Y0 = X0))) @ X8)) = $false) | (((c_In @ (sK38 @ X4 @ X6) @ X4)) = $false) | ($false = $true) | (((c_In @ (sK38 @ X1 @ X2) @ X1)) = $false)) ) | (~spl1885_26 | ~spl1885_27 | ~spl1885_30)),
% 181.52/26.10 inference(superposition,[],[f32767,f20477])).
% 181.52/26.10 thf(f33070,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X0 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : ($i > $i),X7 : $i,X4 : $i,X5 : ($i > $i)] : ((X0 = X6) | (((c_In @ X7 @ (X9 @ (X9 @ (X9 @ sF20))))) = $false) | (((c_In @ (sK38 @ X7 @ X8) @ X7)) = $false) | (((c_In @ (sK38 @ X4 @ X6) @ X4)) = $false) | (X0 = X2) | (((c_In @ X4 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ (sK38 @ X1 @ X2) @ X1)) = $false) | ((((^[Y0 : $i]: (~ (Y0 = X0))) @ X8)) = $false) | (((c_In @ (sK42 @ X0) @ X0)) = $true)) ) | (~spl1885_26 | ~spl1885_27 | ~spl1885_30)),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f33066])).
% 181.52/26.10 thf(f33071,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X0 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : ($i > $i),X7 : $i,X4 : $i,X5 : ($i > $i)] : ((X0 = X2) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (X0 = X6) | (((c_In @ X4 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false) | (((c_In @ (sK42 @ X0) @ X0)) = $true) | (((c_In @ (sK38 @ X7 @ X8) @ X7)) = $false) | ($false = ((~ (X8 = X0)))) | (((c_In @ X7 @ (X9 @ (X9 @ (X9 @ sF20))))) = $false) | (((c_In @ (sK38 @ X1 @ X2) @ X1)) = $false) | (((c_In @ (sK38 @ X4 @ X6) @ X4)) = $false)) ) | (~spl1885_26 | ~spl1885_27 | ~spl1885_30)),
% 181.52/26.10 inference(beta-eta_normalization,[],[f33070])).
% 181.52/26.10 thf(f33072,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X0 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : ($i > $i),X7 : $i,X4 : $i,X5 : ($i > $i)] : ((X0 = X2) | (((c_In @ (sK42 @ X0) @ X0)) = $true) | (X0 = X6) | (((X8 = X0)) = $true) | (((c_In @ X7 @ (X9 @ (X9 @ (X9 @ sF20))))) = $false) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ (sK38 @ X1 @ X2) @ X1)) = $false) | (((c_In @ (sK38 @ X4 @ X6) @ X4)) = $false) | (((c_In @ (sK38 @ X7 @ X8) @ X7)) = $false) | (((c_In @ X4 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false)) ) | (~spl1885_26 | ~spl1885_27 | ~spl1885_30)),
% 181.52/26.10 inference(not_proxy_clausification,[],[f33071])).
% 181.52/26.10 thf(f33073,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X0 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : ($i > $i),X7 : $i,X4 : $i,X5 : ($i > $i)] : ((((c_In @ (sK42 @ X0) @ X0)) = $true) | (((c_In @ (sK38 @ X4 @ X6) @ X4)) = $false) | (((c_In @ X7 @ (X9 @ (X9 @ (X9 @ sF20))))) = $false) | (((c_In @ (sK38 @ X7 @ X8) @ X7)) = $false) | (X0 = X6) | (((c_In @ X4 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false) | (((c_In @ (sK38 @ X1 @ X2) @ X1)) = $false) | (((c_In @ X1 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (X0 = X2) | (X0 = X8)) ) | (~spl1885_26 | ~spl1885_27 | ~spl1885_30)),
% 181.52/26.10 inference(equality_proxy_clausification,[],[f33072])).
% 181.52/26.10 thf(f33243,definition,(
% 181.52/26.10 spl1885_2319 <=> ! [X10 : $i,X11 : $i,X12 : ($i > $i),X9 : ($i > $o)] : ((((sK39 @ sF24 @ X9)) = $true) | (((c_In @ X11 @ (X12 @ (X12 @ (X12 @ sF20))))) = $false) | (((X9 @ X10)) = $false) | (((c_In @ (sK38 @ X11 @ X10) @ X10)) = $true) | (((sK41 @ sF24 @ X9)) = $false))),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_2319])],[avatar_definition])).
% 181.52/26.10 thf(f33244,plain,(
% 181.52/26.10 ( ! [X10 : $i,X11 : $i,X9 : ($i > $o),X12 : ($i > $i)] : ((((sK41 @ sF24 @ X9)) = $false) | (((sK39 @ sF24 @ X9)) = $true) | (((X9 @ X10)) = $false) | (((c_In @ X11 @ (X12 @ (X12 @ (X12 @ sF20))))) = $false) | (((c_In @ (sK38 @ X11 @ X10) @ X10)) = $true)) ) | ~spl1885_2319),
% 181.52/26.10 inference(avatar_component_clause,[],[f33243])).
% 181.52/26.10 thf(f33268,definition,(
% 181.52/26.10 spl1885_2325 <=> ! [X9 : $i,X11 : $i,X10 : ($i > $i)] : ((((c_In @ X9 @ (X10 @ (X10 @ (X10 @ sF20))))) = $false) | (sF24 = X11) | (((c_In @ (sK38 @ X9 @ X11) @ X11)) = $true))),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_2325])],[avatar_definition])).
% 181.52/26.10 thf(f33269,plain,(
% 181.52/26.10 ( ! [X10 : ($i > $i),X11 : $i,X9 : $i] : ((((c_In @ (sK38 @ X9 @ X11) @ X11)) = $true) | (((c_In @ X9 @ (X10 @ (X10 @ (X10 @ sF20))))) = $false) | (sF24 = X11)) ) | ~spl1885_2325),
% 181.52/26.10 inference(avatar_component_clause,[],[f33268])).
% 181.52/26.10 thf(f33273,definition,(
% 181.52/26.10 spl1885_2326 <=> ! [X10 : $i,X11 : ($i > $o),X12 : ($i > $i),X9 : $i] : ((((c_In @ (sK38 @ X9 @ X10) @ X10)) = $true) | (((c_In @ X9 @ (X12 @ (X12 @ (X12 @ sF20))))) = $false) | (((sK39 @ sF24 @ X11)) = $true) | (((X11 @ X10)) = $false) | (((X11 @ sF24)) = $true) | (((sK41 @ sF24 @ X11)) = $true))),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_2326])],[avatar_definition])).
% 181.52/26.10 thf(f33274,plain,(
% 181.52/26.10 ( ! [X10 : $i,X11 : ($i > $o),X9 : $i,X12 : ($i > $i)] : ((((sK41 @ sF24 @ X11)) = $true) | (((sK39 @ sF24 @ X11)) = $true) | (((X11 @ sF24)) = $true) | (((c_In @ X9 @ (X12 @ (X12 @ (X12 @ sF20))))) = $false) | (((c_In @ (sK38 @ X9 @ X10) @ X10)) = $true) | (((X11 @ X10)) = $false)) ) | ~spl1885_2326),
% 181.52/26.10 inference(avatar_component_clause,[],[f33273])).
% 181.52/26.10 thf(f33646,plain,(
% 181.52/26.10 ( ! [X0 : $i,X1 : ($i > $i)] : ((c_Empty = sF24) | ($false = $true) | (((c_In @ X0 @ (X1 @ (X1 @ (X1 @ sF20))))) = $false)) ) | (~spl1885_2135 | ~spl1885_2325)),
% 181.52/26.10 inference(superposition,[],[f33269,f29297])).
% 181.52/26.10 thf(f33716,plain,(
% 181.52/26.10 ( ! [X0 : $i,X1 : ($i > $i)] : ((((c_In @ X0 @ (X1 @ (X1 @ (X1 @ sF20))))) = $false) | (c_Empty = sF24)) ) | (~spl1885_2135 | ~spl1885_2325)),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f33646])).
% 181.52/26.10 thf(f33736,definition,(
% 181.52/26.10 spl1885_2354 <=> ! [X0 : $i,X1 : ($i > $i)] : (((c_In @ X0 @ (X1 @ (X1 @ (X1 @ sF20))))) = $false)),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_2354])],[avatar_definition])).
% 181.52/26.10 thf(f33737,plain,(
% 181.52/26.10 ( ! [X0 : $i,X1 : ($i > $i)] : ((((c_In @ X0 @ (X1 @ (X1 @ (X1 @ sF20))))) = $false)) ) | ~spl1885_2354),
% 181.52/26.10 inference(avatar_component_clause,[],[f33736])).
% 181.52/26.10 thf(f33745,definition,(
% 181.52/26.10 spl1885_2356 <=> (c_Empty = sF24)),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_2356])],[avatar_definition])).
% 181.52/26.10 thf(f33747,plain,(
% 181.52/26.10 (c_Empty = sF24) | ~spl1885_2356),
% 181.52/26.10 inference(avatar_component_clause,[],[f33745])).
% 181.52/26.10 thf(f33804,plain,(
% 181.52/26.10 spl1885_2356 | spl1885_2354 | ~spl1885_2135 | ~spl1885_2325),
% 181.52/26.10 inference(avatar_split_clause,[],[f33716,f33268,f29296,f33736,f33745])).
% 181.52/26.10 thf(f34195,definition,(
% 181.52/26.10 spl1885_2398 <=> (sF24 = ((sK29 @ (c_Power @ (c_Power @ sF20)) @ (c_Power @ (c_Power @ (c_Power @ sF20))))))),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_2398])],[avatar_definition])).
% 181.52/26.10 thf(f34197,plain,(
% 181.52/26.10 (sF24 = ((sK29 @ (c_Power @ (c_Power @ sF20)) @ (c_Power @ (c_Power @ (c_Power @ sF20)))))) | ~spl1885_2398),
% 181.52/26.10 inference(avatar_component_clause,[],[f34195])).
% 181.52/26.10 thf(f35003,definition,(
% 181.52/26.10 spl1885_2476 <=> ! [X0 : $i] : (((c_In @ X0 @ sF24)) = $false)),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_2476])],[avatar_definition])).
% 181.52/26.10 thf(f35004,plain,(
% 181.52/26.10 ( ! [X0 : $i] : ((((c_In @ X0 @ sF24)) = $false)) ) | ~spl1885_2476),
% 181.52/26.10 inference(avatar_component_clause,[],[f35003])).
% 181.52/26.10 thf(f35296,plain,(
% 181.52/26.10 ($false = $true) | (~spl1885_3 | ~spl1885_2354)),
% 181.52/26.10 inference(superposition,[],[f33737,f29510])).
% 181.52/26.10 thf(f35331,plain,(
% 181.52/26.10 $false | (~spl1885_3 | ~spl1885_2354)),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f35296])).
% 181.52/26.10 thf(f35332,plain,(
% 181.52/26.10 ~spl1885_3 | ~spl1885_2354),
% 181.52/26.10 inference(avatar_contradiction_clause,[],[f35331])).
% 181.52/26.10 thf(f35365,plain,(
% 181.52/26.10 ( ! [X0 : $i] : ((((c_In @ X0 @ sF24)) = $false)) ) | (~spl1885_2135 | ~spl1885_2356)),
% 181.52/26.10 inference(superposition,[],[f29297,f33747])).
% 181.52/26.10 thf(f35383,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $i),X3 : $i,X0 : ($i > $o),X1 : $i,X6 : ($i > $i),X4 : $i,X5 : $i] : (($false = ((c_In @ X4 @ (X6 @ (X6 @ (X6 @ sF20)))))) | (((sK39 @ sF24 @ X0)) = $true) | (((X0 @ X5)) = $false) | ($false = $true) | (((X0 @ X3)) = $false) | (((c_In @ X1 @ (X2 @ (X2 @ (X2 @ sF20))))) = $false) | (((c_In @ (sK38 @ X4 @ X5) @ X5)) = $true) | (((X0 @ sF24)) = $true) | (((sK39 @ sF24 @ X0)) = $true) | (((c_In @ (sK38 @ X1 @ X3) @ X3)) = $true)) ) | (~spl1885_2319 | ~spl1885_2326)),
% 181.52/26.10 inference(superposition,[],[f33274,f33244])).
% 181.52/26.10 thf(f35391,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $i),X3 : $i,X0 : ($i > $o),X1 : $i,X6 : ($i > $i),X4 : $i,X5 : $i] : ((((X0 @ sF24)) = $true) | (((X0 @ X3)) = $false) | (((c_In @ (sK38 @ X4 @ X5) @ X5)) = $true) | (((X0 @ X5)) = $false) | ($false = ((c_In @ X4 @ (X6 @ (X6 @ (X6 @ sF20)))))) | ($false = $true) | (((sK39 @ sF24 @ X0)) = $true) | (((c_In @ X1 @ (X2 @ (X2 @ (X2 @ sF20))))) = $false) | (((c_In @ (sK38 @ X1 @ X3) @ X3)) = $true)) ) | (~spl1885_2319 | ~spl1885_2326)),
% 181.52/26.10 inference(duplicate_literal_removal,[],[f35383])).
% 181.52/26.10 thf(f35392,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $i),X3 : $i,X0 : ($i > $o),X1 : $i,X6 : ($i > $i),X4 : $i,X5 : $i] : ((((sK39 @ sF24 @ X0)) = $true) | (((X0 @ sF24)) = $true) | ($false = ((c_In @ X4 @ (X6 @ (X6 @ (X6 @ sF20)))))) | (((c_In @ (sK38 @ X4 @ X5) @ X5)) = $true) | (((c_In @ X1 @ (X2 @ (X2 @ (X2 @ sF20))))) = $false) | (((X0 @ X5)) = $false) | (((c_In @ (sK38 @ X1 @ X3) @ X3)) = $true) | (((X0 @ X3)) = $false)) ) | (~spl1885_2319 | ~spl1885_2326)),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f35391])).
% 181.52/26.10 thf(f35423,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X0 : ($i > $o),X1 : $i,X8 : ($i > $i),X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : ($i > $i)] : ((((X0 @ X9)) = $false) | (((X0 @ sF24)) = $true) | (((c_In @ (sK38 @ X7 @ X9) @ X9)) = $true) | (((c_In @ X2 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ (sK38 @ X2 @ X1) @ X1)) = $true) | ($false = $true) | (((X0 @ X1)) = $false) | (((X0 @ X6)) = $false) | (((c_In @ X4 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false) | (((c_In @ (sK38 @ X4 @ X6) @ X6)) = $true) | (((c_In @ X7 @ (X8 @ (X8 @ (X8 @ sF20))))) = $false)) ) | (~spl1885_25 | ~spl1885_2319 | ~spl1885_2326)),
% 181.52/26.10 inference(superposition,[],[f20457,f35392])).
% 181.52/26.10 thf(f35425,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X0 : ($i > $o),X1 : $i,X8 : ($i > $i),X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : ($i > $i)] : ((((X0 @ sF24)) = $true) | (((X0 @ X1)) = $false) | (((c_In @ (sK38 @ X4 @ X6) @ X6)) = $true) | (((c_In @ X2 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ (sK38 @ X7 @ X9) @ X9)) = $true) | (((X0 @ X6)) = $false) | (((c_In @ (sK38 @ X2 @ X1) @ X1)) = $true) | (((c_In @ X4 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false) | (((c_In @ X7 @ (X8 @ (X8 @ (X8 @ sF20))))) = $false) | (((X0 @ X9)) = $false)) ) | (~spl1885_25 | ~spl1885_2319 | ~spl1885_2326)),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f35423])).
% 181.52/26.10 thf(f36160,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X10 : $i,X0 : $i,X11 : ($i > $i),X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : ($i > $i),X4 : $i,X5 : $i,X12 : ($i > $i)] : ((((X2 @ sF24)) = $true) | (((X2 @ X1)) = $false) | (((c_In @ (sK38 @ X0 @ X1) @ X1)) = $true) | (((c_In @ (sK38 @ X8 @ X9) @ X9)) = $true) | (((c_In @ (sK38 @ X5 @ X4) @ X4)) = $true) | (((c_In @ X6 @ (X7 @ (X7 @ (X7 @ sF20))))) = $false) | (((sK39 @ sF24 @ X2)) = $true) | (((c_In @ X0 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | ($false = $true) | (sF24 = X9) | (((c_In @ X8 @ (X12 @ (X12 @ (X12 @ sF20))))) = $false) | (sF24 = X4) | (((sK41 @ sF24 @ X2)) = $true) | (((c_In @ (sK38 @ X6 @ X10) @ X10)) = $true) | (sF24 = X10) | (((c_In @ X5 @ (X11 @ (X11 @ (X11 @ sF20))))) = $false)) ) | (~spl1885_20 | ~spl1885_22 | ~spl1885_23 | ~spl1885_25)),
% 181.52/26.10 inference(superposition,[],[f20449,f33052])).
% 181.52/26.10 thf(f36161,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X10 : $i,X0 : ($i > $o),X11 : ($i > $i),X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : ($i > $i),X4 : $i,X5 : $i,X12 : ($i > $i)] : ((((sK41 @ sF24 @ X0)) = $false) | (sF24 = X4) | ($false = $true) | (((c_In @ (sK38 @ X8 @ X9) @ X9)) = $true) | (((sK39 @ sF24 @ X0)) = $true) | (((c_In @ X2 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ (sK38 @ X5 @ X4) @ X4)) = $true) | (sF24 = X9) | (((c_In @ (sK38 @ X2 @ X1) @ X1)) = $true) | (((c_In @ X8 @ (X12 @ (X12 @ (X12 @ sF20))))) = $false) | (((c_In @ (sK38 @ X6 @ X10) @ X10)) = $true) | (((X0 @ X1)) = $false) | (((c_In @ X6 @ (X7 @ (X7 @ (X7 @ sF20))))) = $false) | (((c_In @ X5 @ (X11 @ (X11 @ (X11 @ sF20))))) = $false) | (sF24 = X10)) ) | (~spl1885_20 | ~spl1885_22 | ~spl1885_24 | ~spl1885_25)),
% 181.52/26.10 inference(superposition,[],[f20453,f33052])).
% 181.52/26.10 thf(f36198,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X10 : $i,X0 : ($i > $o),X11 : ($i > $i),X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : ($i > $i),X4 : $i,X5 : $i,X12 : ($i > $i)] : ((((c_In @ (sK38 @ X2 @ X1) @ X1)) = $true) | (((c_In @ (sK38 @ X8 @ X9) @ X9)) = $true) | (((X0 @ X1)) = $false) | (sF24 = X10) | (((c_In @ X8 @ (X12 @ (X12 @ (X12 @ sF20))))) = $false) | (((sK41 @ sF24 @ X0)) = $false) | (((c_In @ X2 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ X6 @ (X7 @ (X7 @ (X7 @ sF20))))) = $false) | (((c_In @ X5 @ (X11 @ (X11 @ (X11 @ sF20))))) = $false) | (((sK39 @ sF24 @ X0)) = $true) | (((c_In @ (sK38 @ X6 @ X10) @ X10)) = $true) | (sF24 = X4) | (((c_In @ (sK38 @ X5 @ X4) @ X4)) = $true) | (sF24 = X9)) ) | (~spl1885_20 | ~spl1885_22 | ~spl1885_24 | ~spl1885_25)),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f36161])).
% 181.52/26.10 thf(f36228,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $o),X3 : ($i > $i),X10 : $i,X0 : $i,X11 : ($i > $i),X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : ($i > $i),X4 : $i,X5 : $i,X12 : ($i > $i)] : ((((c_In @ (sK38 @ X6 @ X10) @ X10)) = $true) | (((c_In @ (sK38 @ X5 @ X4) @ X4)) = $true) | (sF24 = X10) | (((sK39 @ sF24 @ X2)) = $true) | (((sK41 @ sF24 @ X2)) = $true) | (((c_In @ X8 @ (X12 @ (X12 @ (X12 @ sF20))))) = $false) | (((c_In @ X5 @ (X11 @ (X11 @ (X11 @ sF20))))) = $false) | (((c_In @ (sK38 @ X8 @ X9) @ X9)) = $true) | (((X2 @ X1)) = $false) | (sF24 = X4) | (((X2 @ sF24)) = $true) | (sF24 = X9) | (((c_In @ (sK38 @ X0 @ X1) @ X1)) = $true) | (((c_In @ X0 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ X6 @ (X7 @ (X7 @ (X7 @ sF20))))) = $false)) ) | (~spl1885_20 | ~spl1885_22 | ~spl1885_23 | ~spl1885_25)),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f36160])).
% 181.52/26.10 thf(f36441,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X0 : $i,X1 : $i,X8 : ($i > $i),X6 : $i,X7 : $i,X4 : $i,X5 : ($i > $i)] : (($false = $true) | (c_Empty = X4) | ($false = ((c_In @ (sK38 @ X6 @ X7) @ X6))) | (c_Empty = X1) | (((c_In @ (sK38 @ X0 @ X1) @ X0)) = $false) | (((c_In @ X0 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false) | (c_Empty = X7) | (((c_In @ (sK38 @ X2 @ X4) @ X2)) = $false) | (((c_In @ X2 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ X6 @ (X8 @ (X8 @ (X8 @ sF20))))) = $false)) ) | (~spl1885_26 | ~spl1885_27 | ~spl1885_30 | ~spl1885_2135)),
% 181.52/26.10 inference(superposition,[],[f29297,f33073])).
% 181.52/26.10 thf(f36486,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X0 : $i,X1 : $i,X8 : ($i > $i),X6 : $i,X7 : $i,X4 : $i,X5 : ($i > $i)] : ((((c_In @ X0 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false) | (c_Empty = X7) | (((c_In @ (sK38 @ X2 @ X4) @ X2)) = $false) | ($false = ((c_In @ (sK38 @ X6 @ X7) @ X6))) | (((c_In @ X2 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (c_Empty = X1) | (c_Empty = X4) | (((c_In @ (sK38 @ X0 @ X1) @ X0)) = $false) | (((c_In @ X6 @ (X8 @ (X8 @ (X8 @ sF20))))) = $false)) ) | (~spl1885_26 | ~spl1885_27 | ~spl1885_30 | ~spl1885_2135)),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f36441])).
% 181.52/26.10 thf(f36512,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X0 : $i,X1 : $i,X8 : ($i > $i),X6 : $i,X7 : $i,X4 : $i,X5 : ($i > $i)] : ((((c_In @ X2 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ (sK38 @ X2 @ X4) @ X2)) = $false) | (((c_In @ X6 @ (X8 @ (X8 @ (X8 @ sF20))))) = $false) | ($false = ((c_In @ (sK38 @ X6 @ X7) @ X6))) | (((c_In @ (sK38 @ X0 @ X1) @ X0)) = $false) | (sF24 = X4) | (c_Empty = X1) | (((c_In @ X0 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false) | (c_Empty = X7)) ) | (~spl1885_26 | ~spl1885_27 | ~spl1885_30 | ~spl1885_2135 | ~spl1885_2356)),
% 181.52/26.10 inference(forward_demodulation,[],[f36486,f33747])).
% 181.52/26.10 thf(f36979,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X10 : ($i > $o),X1 : $i,X8 : ($i > $i),X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : ($i > $i)] : (((((^[Y0 : $i]: (~ (X10 @ Y0))) @ sF24)) = $true) | (((c_In @ (sK38 @ X4 @ X6) @ X6)) = $true) | (((c_In @ X4 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false) | ($false = (((^[Y0 : $i]: (~ (X10 @ Y0))) @ X9))) | ((((^[Y0 : $i]: (~ (X10 @ Y0))) @ X1)) = $false) | ((((^[Y0 : $i]: (~ (X10 @ Y0))) @ X6)) = $false) | (((c_In @ (sK38 @ X7 @ X9) @ X9)) = $true) | (((c_In @ X7 @ (X8 @ (X8 @ (X8 @ sF20))))) = $false) | (((c_In @ (sK38 @ X2 @ X1) @ X1)) = $true) | (((c_In @ X2 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false)) ) | (~spl1885_25 | ~spl1885_2319 | ~spl1885_2326)),
% 181.52/26.10 inference(primitive_instantiation,[],[f35425])).
% 181.52/26.10 thf(f37073,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X10 : ($i > $o),X1 : $i,X8 : ($i > $i),X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : ($i > $i)] : ((((c_In @ (sK38 @ X7 @ X9) @ X9)) = $true) | (((c_In @ X7 @ (X8 @ (X8 @ (X8 @ sF20))))) = $false) | ($false = ((~ (X10 @ X9)))) | (((c_In @ X4 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false) | (((c_In @ (sK38 @ X4 @ X6) @ X6)) = $true) | (((~ (X10 @ sF24))) = $true) | (((~ (X10 @ X6))) = $false) | (((~ (X10 @ X1))) = $false) | (((c_In @ (sK38 @ X2 @ X1) @ X1)) = $true) | (((c_In @ X2 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false)) ) | (~spl1885_25 | ~spl1885_2319 | ~spl1885_2326)),
% 181.52/26.10 inference(beta-eta_normalization,[],[f36979])).
% 181.52/26.10 thf(f37074,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X10 : ($i > $o),X1 : $i,X8 : ($i > $i),X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : ($i > $i)] : ((((~ (X10 @ sF24))) = $true) | (((~ (X10 @ X1))) = $false) | (((c_In @ (sK38 @ X7 @ X9) @ X9)) = $true) | (((c_In @ (sK38 @ X2 @ X1) @ X1)) = $true) | (((c_In @ X4 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false) | (((c_In @ X7 @ (X8 @ (X8 @ (X8 @ sF20))))) = $false) | (((X10 @ X9)) = $true) | (((c_In @ (sK38 @ X4 @ X6) @ X6)) = $true) | (((c_In @ X2 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((~ (X10 @ X6))) = $false)) ) | (~spl1885_25 | ~spl1885_2319 | ~spl1885_2326)),
% 181.52/26.10 inference(not_proxy_clausification,[],[f37073])).
% 181.52/26.10 thf(f37075,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X10 : ($i > $o),X1 : $i,X8 : ($i > $i),X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : ($i > $i)] : ((((c_In @ X2 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ (sK38 @ X7 @ X9) @ X9)) = $true) | (((c_In @ (sK38 @ X2 @ X1) @ X1)) = $true) | (((~ (X10 @ X6))) = $false) | (((c_In @ (sK38 @ X4 @ X6) @ X6)) = $true) | (((c_In @ X4 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false) | (((~ (X10 @ X1))) = $false) | (((c_In @ X7 @ (X8 @ (X8 @ (X8 @ sF20))))) = $false) | (((X10 @ sF24)) = $false) | (((X10 @ X9)) = $true)) ) | (~spl1885_25 | ~spl1885_2319 | ~spl1885_2326)),
% 181.52/26.10 inference(not_proxy_clausification,[],[f37074])).
% 181.52/26.10 thf(f37076,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X10 : ($i > $o),X1 : $i,X8 : ($i > $i),X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : ($i > $i)] : ((((c_In @ X4 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false) | (((c_In @ X2 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((X10 @ X6)) = $true) | (((~ (X10 @ X1))) = $false) | (((c_In @ X7 @ (X8 @ (X8 @ (X8 @ sF20))))) = $false) | (((c_In @ (sK38 @ X4 @ X6) @ X6)) = $true) | (((X10 @ X9)) = $true) | (((c_In @ (sK38 @ X7 @ X9) @ X9)) = $true) | (((c_In @ (sK38 @ X2 @ X1) @ X1)) = $true) | (((X10 @ sF24)) = $false)) ) | (~spl1885_25 | ~spl1885_2319 | ~spl1885_2326)),
% 181.52/26.10 inference(not_proxy_clausification,[],[f37075])).
% 181.52/26.10 thf(f37077,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X10 : ($i > $o),X1 : $i,X8 : ($i > $i),X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : ($i > $i)] : ((((X10 @ sF24)) = $false) | (((X10 @ X1)) = $true) | (((c_In @ X7 @ (X8 @ (X8 @ (X8 @ sF20))))) = $false) | (((c_In @ (sK38 @ X4 @ X6) @ X6)) = $true) | (((c_In @ X4 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false) | (((X10 @ X9)) = $true) | (((c_In @ X2 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((X10 @ X6)) = $true) | (((c_In @ (sK38 @ X2 @ X1) @ X1)) = $true) | (((c_In @ (sK38 @ X7 @ X9) @ X9)) = $true)) ) | (~spl1885_25 | ~spl1885_2319 | ~spl1885_2326)),
% 181.52/26.10 inference(not_proxy_clausification,[],[f37076])).
% 181.52/26.10 thf(f37309,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $i),X3 : $i,X0 : $i,X1 : $i,X8 : ($i > $i),X6 : $i,X7 : $i,X4 : $i,X5 : ($i > $i)] : ((((c_In @ (sK38 @ X3 @ X4) @ X4)) = $true) | (((sF24 = X4)) = $true) | (((c_In @ (sK38 @ X1 @ X6) @ X6)) = $true) | (((c_In @ (sK38 @ X7 @ X0) @ X0)) = $true) | (((c_In @ X7 @ (X8 @ (X8 @ (X8 @ sF20))))) = $false) | (sF24 = X0) | (((c_In @ X1 @ (X2 @ (X2 @ (X2 @ sF20))))) = $false) | ($false = ((c_In @ X3 @ (X5 @ (X5 @ (X5 @ sF20)))))) | (((sF24 = X6)) = $true)) ) | (~spl1885_25 | ~spl1885_2319 | ~spl1885_2326)),
% 181.52/26.10 inference(leibniz_equality_elimination,[],[f37077])).
% 181.52/26.10 thf(f37345,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $i),X3 : $i,X0 : $i,X1 : $i,X8 : ($i > $i),X6 : $i,X7 : $i,X4 : $i,X5 : ($i > $i)] : ((sF24 = X4) | (((sF24 = X6)) = $true) | (((c_In @ (sK38 @ X3 @ X4) @ X4)) = $true) | (((c_In @ X7 @ (X8 @ (X8 @ (X8 @ sF20))))) = $false) | (((c_In @ (sK38 @ X1 @ X6) @ X6)) = $true) | ($false = ((c_In @ X3 @ (X5 @ (X5 @ (X5 @ sF20)))))) | (sF24 = X0) | (((c_In @ (sK38 @ X7 @ X0) @ X0)) = $true) | (((c_In @ X1 @ (X2 @ (X2 @ (X2 @ sF20))))) = $false)) ) | (~spl1885_25 | ~spl1885_2319 | ~spl1885_2326)),
% 181.52/26.10 inference(equality_proxy_clausification,[],[f37309])).
% 181.52/26.10 thf(f37346,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $i),X3 : $i,X0 : $i,X1 : $i,X8 : ($i > $i),X6 : $i,X7 : $i,X4 : $i,X5 : ($i > $i)] : ((((c_In @ (sK38 @ X3 @ X4) @ X4)) = $true) | (((c_In @ (sK38 @ X1 @ X6) @ X6)) = $true) | (((c_In @ X7 @ (X8 @ (X8 @ (X8 @ sF20))))) = $false) | ($false = ((c_In @ X3 @ (X5 @ (X5 @ (X5 @ sF20)))))) | (sF24 = X4) | (sF24 = X0) | (sF24 = X6) | (((c_In @ X1 @ (X2 @ (X2 @ (X2 @ sF20))))) = $false) | (((c_In @ (sK38 @ X7 @ X0) @ X0)) = $true)) ) | (~spl1885_25 | ~spl1885_2319 | ~spl1885_2326)),
% 181.52/26.10 inference(equality_proxy_clausification,[],[f37345])).
% 181.52/26.10 thf(f49136,plain,(
% 181.52/26.10 (((c_In @ sF24 @ (c_Power @ (c_Power @ sF20)))) = $false) | (~spl1885_4 | ~spl1885_2398)),
% 181.52/26.10 inference(superposition,[],[f30540,f34197])).
% 181.52/26.10 thf(f49295,plain,(
% 181.52/26.10 (((c_In @ (sK29 @ (c_Power @ sF20) @ sF24) @ sF24)) = $true) | ($false = $true) | (~spl1885_3 | ~spl1885_4 | ~spl1885_2398)),
% 181.52/26.10 inference(superposition,[],[f20362,f49136])).
% 181.52/26.10 thf(f49301,plain,(
% 181.52/26.10 (((c_In @ (sK29 @ (c_Power @ sF20) @ sF24) @ sF24)) = $true) | (~spl1885_3 | ~spl1885_4 | ~spl1885_2398)),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f49295])).
% 181.52/26.10 thf(f49305,plain,(
% 181.52/26.10 ($false = $true) | (~spl1885_3 | ~spl1885_4 | ~spl1885_2398 | ~spl1885_2476)),
% 181.52/26.10 inference(forward_demodulation,[],[f49301,f35004])).
% 181.52/26.10 thf(f49306,plain,(
% 181.52/26.10 $false | (~spl1885_3 | ~spl1885_4 | ~spl1885_2398 | ~spl1885_2476)),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f49305])).
% 181.52/26.10 thf(f49307,plain,(
% 181.52/26.10 ~spl1885_3 | ~spl1885_4 | ~spl1885_2398 | ~spl1885_2476),
% 181.52/26.10 inference(avatar_contradiction_clause,[],[f49306])).
% 181.52/26.10 thf(f49316,plain,(
% 181.52/26.10 spl1885_2476 | ~spl1885_2135 | ~spl1885_2356),
% 181.52/26.10 inference(avatar_split_clause,[],[f35365,f33745,f29296,f35003])).
% 181.52/26.10 thf(f49489,definition,(
% 181.52/26.10 spl1885_3332 <=> ! [X2 : $i,X4 : $i,X3 : ($i > $i)] : ((((c_In @ X2 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (((c_In @ (sK38 @ X2 @ X4) @ X2)) = $false) | (sF24 = X4))),
% 181.52/26.10 introduced(definition,[new_symbols(definition,[spl1885_3332])],[avatar_definition])).
% 181.52/26.10 thf(f49490,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X4 : $i] : ((((c_In @ (sK38 @ X2 @ X4) @ X2)) = $false) | (((c_In @ X2 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (sF24 = X4)) ) | ~spl1885_3332),
% 181.52/26.10 inference(avatar_component_clause,[],[f49489])).
% 181.52/26.10 thf(f49559,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X0 : $i,X1 : $i,X8 : ($i > $i),X6 : $i,X7 : $i,X4 : $i,X5 : ($i > $i)] : ((((c_In @ X2 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false) | (sF24 = X1) | (c_Empty = X7) | ($false = ((c_In @ (sK38 @ X6 @ X7) @ X6))) | (((c_In @ (sK38 @ X0 @ X1) @ X0)) = $false) | (((c_In @ (sK38 @ X2 @ X4) @ X2)) = $false) | (sF24 = X4) | (((c_In @ X6 @ (X8 @ (X8 @ (X8 @ sF20))))) = $false) | (((c_In @ X0 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false)) ) | (~spl1885_26 | ~spl1885_27 | ~spl1885_30 | ~spl1885_2135 | ~spl1885_2356)),
% 181.52/26.10 inference(forward_demodulation,[],[f36512,f33747])).
% 181.52/26.10 thf(f49612,plain,(
% 181.52/26.10 ( ! [X2 : $i,X3 : ($i > $i),X0 : $i,X1 : $i,X8 : ($i > $i),X6 : $i,X7 : $i,X4 : $i,X5 : ($i > $i)] : (($false = ((c_In @ (sK38 @ X6 @ X7) @ X6))) | (((c_In @ (sK38 @ X0 @ X1) @ X0)) = $false) | (((c_In @ X6 @ (X8 @ (X8 @ (X8 @ sF20))))) = $false) | (sF24 = X1) | (((c_In @ X0 @ (X5 @ (X5 @ (X5 @ sF20))))) = $false) | (((c_In @ (sK38 @ X2 @ X4) @ X2)) = $false) | (sF24 = X7) | (sF24 = X4) | (((c_In @ X2 @ (X3 @ (X3 @ (X3 @ sF20))))) = $false)) ) | (~spl1885_26 | ~spl1885_27 | ~spl1885_30 | ~spl1885_2135 | ~spl1885_2356)),
% 181.52/26.10 inference(forward_demodulation,[],[f49559,f33747])).
% 181.52/26.10 thf(f49653,plain,(
% 181.52/26.10 spl1885_3332 | spl1885_3332 | spl1885_3332 | ~spl1885_26 | ~spl1885_27 | ~spl1885_30 | ~spl1885_2135 | ~spl1885_2356),
% 181.52/26.10 inference(avatar_split_clause,[],[f49612,f33745,f29296,f20476,f20464,f20460,f49489,f49489,f49489])).
% 181.52/26.10 thf(f50004,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $i),X0 : $i,X1 : ($i > $i)] : ((((c_In @ X0 @ (X1 @ (X1 @ (X1 @ sF20))))) = $false) | (((c_In @ X0 @ (X2 @ (X2 @ (X2 @ sF20))))) = $false) | (sF24 = X0) | (sF24 = X0) | ($false = $true)) ) | (~spl1885_2325 | ~spl1885_3332)),
% 181.52/26.10 inference(superposition,[],[f49490,f33269])).
% 181.52/26.10 thf(f50065,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $i),X0 : $i,X1 : ($i > $i)] : ((sF24 = X0) | (((c_In @ X0 @ (X2 @ (X2 @ (X2 @ sF20))))) = $false) | ($false = $true) | (((c_In @ X0 @ (X1 @ (X1 @ (X1 @ sF20))))) = $false)) ) | (~spl1885_2325 | ~spl1885_3332)),
% 181.52/26.10 inference(duplicate_literal_removal,[],[f50004])).
% 181.52/26.10 thf(f50066,plain,(
% 181.52/26.10 ( ! [X2 : ($i > $i),X0 : $i,X1 : ($i > $i)] : ((((c_In @ X0 @ (X2 @ (X2 @ (X2 @ sF20))))) = $false) | (sF24 = X0) | (((c_In @ X0 @ (X1 @ (X1 @ (X1 @ sF20))))) = $false)) ) | (~spl1885_2325 | ~spl1885_3332)),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f50065])).
% 181.52/26.10 thf(f50142,plain,(
% 181.52/26.10 ( ! [X0 : $i,X1 : ($i > $i)] : ((((c_In @ X0 @ (X1 @ (X1 @ (X1 @ sF20))))) = $false) | ($false != $false) | (sF24 = X0)) ) | (~spl1885_2325 | ~spl1885_3332)),
% 181.52/26.10 inference(equality_factoring,[],[f50066])).
% 181.52/26.10 thf(f50147,plain,(
% 181.52/26.10 ( ! [X0 : $i,X1 : ($i > $i)] : ((((c_In @ X0 @ (X1 @ (X1 @ (X1 @ sF20))))) = $false) | (sF24 = X0)) ) | (~spl1885_2325 | ~spl1885_3332)),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f50142])).
% 181.52/26.10 thf(f50196,plain,(
% 181.52/26.10 (sF24 = ((sK29 @ (c_Power @ (c_Power @ sF20)) @ (c_Power @ (c_Power @ (c_Power @ sF20)))))) | ($false = $true) | (~spl1885_3 | ~spl1885_2325 | ~spl1885_3332)),
% 181.52/26.10 inference(superposition,[],[f50147,f29510])).
% 181.52/26.10 thf(f50259,plain,(
% 181.52/26.10 (sF24 = ((sK29 @ (c_Power @ (c_Power @ sF20)) @ (c_Power @ (c_Power @ (c_Power @ sF20)))))) | (~spl1885_3 | ~spl1885_2325 | ~spl1885_3332)),
% 181.52/26.10 inference(trivial_inequality_removal,[],[f50196])).
% 181.52/26.10 thf(f50279,plain,(
% 181.52/26.10 spl1885_2398 | ~spl1885_3 | ~spl1885_2325 | ~spl1885_3332),
% 181.52/26.10 inference(avatar_split_clause,[],[f50259,f49489,f33268,f20361,f34195])).
% 181.52/26.10 thf(f50328,plain,(
% 181.52/26.10 spl1885_2325 | spl1885_2325 | spl1885_2325 | ~spl1885_25 | ~spl1885_2319 | ~spl1885_2326),
% 181.52/26.10 inference(avatar_split_clause,[],[f37346,f33273,f33243,f20456,f33268,f33268,f33268])).
% 181.52/26.10 thf(f50636,plain,(
% 181.52/26.10 spl1885_2325 | spl1885_2319 | spl1885_2325 | spl1885_2325 | ~spl1885_20 | ~spl1885_22 | ~spl1885_24 | ~spl1885_25),
% 181.52/26.10 inference(avatar_split_clause,[],[f36198,f20456,f20452,f20444,f20436,f33268,f33268,f33243,f33268])).
% 181.52/26.10 thf(f50745,plain,(
% 181.52/26.10 spl1885_2325 | spl1885_2325 | spl1885_2326 | spl1885_2325 | ~spl1885_20 | ~spl1885_22 | ~spl1885_23 | ~spl1885_25),
% 181.52/26.10 inference(avatar_split_clause,[],[f36228,f20456,f20448,f20444,f20436,f33268,f33273,f33268,f33268])).
% 181.52/26.10 cnf(s2, plain, spl1885_2 | spl1885_3, inference(sat_conversion,[],[f20363])).
% 181.52/26.10 cnf(s3, plain, spl1885_2 | spl1885_4, inference(sat_conversion,[],[f20367])).
% 181.52/26.10 cnf(s21, plain, spl1885_10 | spl1885_19 | spl1885_20 | spl1885_21, inference(sat_conversion,[],[f20442])).
% 181.52/26.10 cnf(s22, plain, spl1885_10 | spl1885_21 | spl1885_22, inference(sat_conversion,[],[f20446])).
% 181.52/26.10 cnf(s23, plain, spl1885_10 | spl1885_19 | spl1885_21 | spl1885_23, inference(sat_conversion,[],[f20450])).
% 181.52/26.10 cnf(s24, plain, spl1885_10 | spl1885_21 | spl1885_24, inference(sat_conversion,[],[f20454])).
% 181.52/26.10 cnf(s25, plain, spl1885_10 | spl1885_21 | spl1885_25, inference(sat_conversion,[],[f20458])).
% 181.52/26.10 cnf(s26, plain, spl1885_10 | spl1885_19 | spl1885_21 | spl1885_26, inference(sat_conversion,[],[f20462])).
% 181.52/26.10 cnf(s27, plain, spl1885_10 | spl1885_21 | spl1885_27, inference(sat_conversion,[],[f20466])).
% 181.52/26.10 cnf(s30, plain, spl1885_10 | spl1885_21 | spl1885_30, inference(sat_conversion,[],[f20478])).
% 181.52/26.10 cnf(s42, plain, spl1885_2 | spl1885_2 | spl1885_2 | spl1885_10 | spl1885_39 | spl1885_40, inference(sat_conversion,[],[f20522])).
% 181.52/26.10 cnf(s43, plain, spl1885_2 | spl1885_10 | spl1885_39 | spl1885_40, inference(rat,[],[s42])).
% 181.52/26.10 cnf(s3432, plain, spl1885_10 | spl1885_2135, inference(sat_conversion,[],[f29298])).
% 181.52/26.10 cnf(s3434, plain, spl1885_12 | spl1885_2137, inference(sat_conversion,[],[f29308])).
% 181.52/26.10 cnf(s3435, plain, spl1885_9 | spl1885_2137, inference(sat_conversion,[],[f29309])).
% 181.52/26.10 cnf(s3436, plain, ~spl1885_2137, inference(sat_conversion,[],[f29310])).
% 181.52/26.10 cnf(s3438, plain, spl1885_17 | spl1885_128, inference(sat_conversion,[],[f29312])).
% 181.52/26.10 cnf(s3440, plain, ~spl1885_2 | ~spl1885_9, inference(sat_conversion,[],[f29319])).
% 181.52/26.10 cnf(s3441, plain, ~spl1885_9 | ~spl1885_10, inference(sat_conversion,[],[f29333])).
% 181.52/26.10 cnf(s3443, plain, ~spl1885_12 | ~spl1885_21, inference(sat_conversion,[],[f29405])).
% 181.52/26.10 cnf(s3444, plain, ~spl1885_39 | ~spl1885_128, inference(sat_conversion,[],[f29416])).
% 181.52/26.10 cnf(s3445, plain, ~spl1885_40 | ~spl1885_2135, inference(sat_conversion,[],[f29419])).
% 181.52/26.10 cnf(s3446, plain, ~spl1885_17 | ~spl1885_19, inference(sat_conversion,[],[f29425])).
% 181.52/26.10 cnf(s3886, plain, ~spl1885_2135 | ~spl1885_2325 | spl1885_2354 | spl1885_2356, inference(sat_conversion,[],[f33804])).
% 181.52/26.10 cnf(s4111, plain, ~spl1885_3 | ~spl1885_2354, inference(sat_conversion,[],[f35332])).
% 181.52/26.10 cnf(s6035, plain, ~spl1885_3 | ~spl1885_4 | ~spl1885_2398 | ~spl1885_2476, inference(sat_conversion,[],[f49307])).
% 181.52/26.10 cnf(s6038, plain, ~spl1885_2135 | ~spl1885_2356 | spl1885_2476, inference(sat_conversion,[],[f49316])).
% 181.52/26.10 cnf(s6196, plain, spl1885_3332 | spl1885_3332 | ~spl1885_30 | ~spl1885_2135 | ~spl1885_2356 | ~spl1885_26 | ~spl1885_27 | spl1885_3332, inference(sat_conversion,[],[f49653])).
% 181.52/26.10 cnf(s6197, plain, ~spl1885_26 | ~spl1885_27 | ~spl1885_30 | ~spl1885_2135 | ~spl1885_2356 | spl1885_3332, inference(rat,[],[s6196])).
% 181.52/26.10 cnf(s6275, plain, ~spl1885_3 | ~spl1885_2325 | spl1885_2398 | ~spl1885_3332, inference(sat_conversion,[],[f50279])).
% 181.52/26.10 cnf(s6304, plain, spl1885_2325 | spl1885_2325 | ~spl1885_25 | ~spl1885_2319 | spl1885_2325 | ~spl1885_2326, inference(sat_conversion,[],[f50328])).
% 181.52/26.10 cnf(s6305, plain, ~spl1885_25 | ~spl1885_2319 | spl1885_2325 | ~spl1885_2326, inference(rat,[],[s6304])).
% 181.52/26.10 cnf(s6485, plain, spl1885_2325 | spl1885_2325 | ~spl1885_24 | ~spl1885_25 | spl1885_2319 | ~spl1885_20 | ~spl1885_22 | spl1885_2325, inference(sat_conversion,[],[f50636])).
% 181.52/26.10 cnf(s6486, plain, ~spl1885_20 | ~spl1885_22 | ~spl1885_24 | ~spl1885_25 | spl1885_2319 | spl1885_2325, inference(rat,[],[s6485])).
% 181.52/26.10 cnf(s6568, plain, spl1885_2325 | spl1885_2325 | ~spl1885_23 | ~spl1885_25 | ~spl1885_20 | ~spl1885_22 | spl1885_2325 | spl1885_2326, inference(sat_conversion,[],[f50745])).
% 181.52/26.10 cnf(s6569, plain, ~spl1885_20 | ~spl1885_22 | ~spl1885_23 | ~spl1885_25 | spl1885_2325 | spl1885_2326, inference(rat,[],[s6568])).
% 181.52/26.10 cnf(s6593, plain, spl1885_9, inference(rat,[],[s3435,s3436])).
% 181.52/26.10 cnf(s6594, plain, ~spl1885_10, inference(rat,[],[s3441,s6593])).
% 181.52/26.10 cnf(s6595, plain, ~spl1885_2, inference(rat,[],[s3440,s6593])).
% 181.52/26.10 cnf(s6596, plain, spl1885_12, inference(rat,[],[s3434,s3436])).
% 181.52/26.10 cnf(s6597, plain, ~spl1885_21, inference(rat,[],[s3443,s6596])).
% 181.52/26.10 cnf(s6599, plain, spl1885_2135, inference(rat,[],[s3432,s6594])).
% 181.52/26.10 cnf(s6605, plain, ~spl1885_40, inference(rat,[],[s3445,s6599])).
% 181.52/26.10 cnf(s7248, plain, spl1885_39, inference(rat,[],[s43,s6605,s6594,s6595])).
% 181.52/26.10 cnf(s7249, plain, ~spl1885_128, inference(rat,[],[s3444,s7248])).
% 181.52/26.10 cnf(s7250, plain, spl1885_17, inference(rat,[],[s3438,s7249])).
% 181.52/26.10 cnf(s7252, plain, ~spl1885_19, inference(rat,[],[s3446,s7250])).
% 181.52/26.10 cnf(s7295, plain, spl1885_30, inference(rat,[],[s30,s6597,s6594])).
% 181.52/26.10 cnf(s7298, plain, spl1885_27, inference(rat,[],[s27,s6597,s6594])).
% 181.52/26.10 cnf(s7299, plain, spl1885_26, inference(rat,[],[s26,s6597,s7252,s6594])).
% 181.52/26.10 cnf(s7302, plain, spl1885_25, inference(rat,[],[s25,s6597,s6594])).
% 181.52/26.10 cnf(s7304, plain, spl1885_24, inference(rat,[],[s24,s6597,s6594])).
% 181.52/26.10 cnf(s7305, plain, spl1885_23, inference(rat,[],[s23,s6597,s7252,s6594])).
% 181.52/26.10 cnf(s7306, plain, spl1885_22, inference(rat,[],[s22,s6597,s6594])).
% 181.52/26.10 cnf(s7307, plain, spl1885_20, inference(rat,[],[s21,s6597,s7252,s6594])).
% 181.52/26.10 cnf(s7314, plain, spl1885_4, inference(rat,[],[s3,s6595])).
% 181.52/26.10 cnf(s7319, plain, spl1885_3, inference(rat,[],[s2,s6595])).
% 181.52/26.10 cnf(s7320, plain, ~spl1885_2354, inference(rat,[],[s4111,s7319])).
% 181.52/26.10 cnf(s7342, plain, ~spl1885_2325, inference(rat,[],[s6275,s6035,s6197,s6038,s3886,s7319,s7314,s7295,s6599,s7298,s7299,s7320])).
% 181.52/26.10 cnf(s7344, plain, spl1885_2326, inference(rat,[],[s6569,s7307,s7306,s7302,s7305,s7342])).
% 181.52/26.10 cnf(s7349, plain, spl1885_2319, inference(rat,[],[s6486,s7307,s7306,s7302,s7304,s7342])).
% 181.52/26.10 cnf(s7350, plain, $false, inference(rat,[],[s6305,s7344,s7302,s7342,s7349])).
% 181.52/26.10 thf(f50752,plain,(
% 181.52/26.10 $false),
% 181.52/26.10 inference(avatar_sat_refutation,[],[s7350])).
% 181.52/26.10 % SZS output end Proof for theBenchmark
% 181.52/26.10 % (1106481)------------------------------
% 181.52/26.10 % (1106481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 181.52/26.10 % (1106481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 181.52/26.10 % (1106481)CaDiCaL version: 2.1.3
% 181.52/26.10 % (1106481)Termination reason: Refutation
% 181.52/26.10 % (1106481)Time elapsed: 5.373 s
% 181.52/26.10 % (1106481)Peak memory usage: 42 MB
% 181.52/26.10 % (1106481)Instructions burned: 7028 (million)
% 181.52/26.10 % (1105870)Success in time 25.747 s
% 181.52/26.10 % Vampire exiting
%------------------------------------------------------------------------------