Vampire---5.0.1.THM-Ref.s

View TPTP
Problem Process solution in
SystemOnTSTP Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWX183^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:40:40 AM UTC 2026

% Result   : Theorem 2.99s 0.83s
% Output   : Refutation 2.99s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWX183^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21  % Computer : n026.cluster.edu
% 0.08/0.21  % Model    : x86_64 x86_64
% 0.08/0.21  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21  % Memory   : 8046.5625MB
% 0.08/0.21  % OS       : Linux 6.8.0-71-generic
% 0.08/0.21  % CPULimit : 300
% 0.08/0.21  % WCLimit  : 300
% 0.08/0.21  % DateTime : Tue Sep 29 16:13:12 UTC 2026
% 0.08/0.21  % CPUTime  : 
% 0.08/0.21  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24  Running higher-order theorem proving
% 0.08/0.27  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
% 0.23/0.40  % (798456)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.23/0.40  % (798461)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2667958035:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.23/0.40  % (798467)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.23/0.40  % (798467)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.23/0.40  % (798462)lrs+10_16_si=on:nwc=1.5:random_seed=2829543597:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.23/0.40  % (798463)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1176269312:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.23/0.40  % (798464)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=2891432581:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.23/0.40  % (798465)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2045078387:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.23/0.40  % (798466)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3977771699:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.23/0.40  % (798467)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=3726990487:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.23/0.40  % (798463)Instruction limit reached! 
% 0.23/0.40  % (798463)------------------------------
% 0.23/0.40  % (798463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.40  % (798463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.40  % (798463)CaDiCaL version: 2.1.3
% 0.23/0.40  % (798463)Termination reason: Instruction limit
% 0.23/0.40  % (798463)Termination phase: shuffling
% 0.23/0.40  % (798463)Time elapsed: 0.002 s
% 0.23/0.40  % (798463)Peak memory usage: 9 MB
% 0.23/0.40  % (798463)Instructions burned: 3 (million)
% 0.23/0.40  % (798462)Instruction limit reached! 
% 0.23/0.40  % (798462)------------------------------
% 0.23/0.40  % (798462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.40  % (798462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.40  % (798462)CaDiCaL version: 2.1.3
% 0.23/0.40  % (798462)Termination reason: Instruction limit
% 0.23/0.40  % (798462)Termination phase: Property scanning
% 0.23/0.40  % (798462)Time elapsed: 0.008 s
% 0.23/0.40  % (798462)Peak memory usage: 10 MB
% 0.23/0.40  % (798462)Instructions burned: 18 (million)
% 0.23/0.40  % (798465)Instruction limit reached! 
% 0.23/0.40  % (798465)------------------------------
% 0.23/0.40  % (798465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.40  % (798465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.40  % (798465)CaDiCaL version: 2.1.3
% 0.23/0.40  % (798465)Termination reason: Instruction limit
% 0.23/0.40  % (798465)Termination phase: Property scanning
% 0.23/0.40  % (798465)Time elapsed: 0.011 s
% 0.23/0.40  % (798465)Peak memory usage: 10 MB
% 0.23/0.40  % (798465)Instructions burned: 26 (million)
% 0.23/0.40  % (798461)Instruction limit reached! 
% 0.23/0.40  % (798461)------------------------------
% 0.23/0.40  % (798461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.40  % (798461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.40  % (798461)CaDiCaL version: 2.1.3
% 0.23/0.40  % (798461)Termination reason: Instruction limit
% 0.23/0.40  % (798461)Termination phase: Saturation
% 0.23/0.40  % (798461)Time elapsed: 0.020 s
% 0.23/0.40  % (798461)Peak memory usage: 13 MB
% 0.23/0.40  % (798461)Instructions burned: 88 (million)
% 0.23/0.40  % (798475)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3513956212:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.23/0.40  % (798478)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4040079687:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.23/0.40  % (798475)Instruction limit reached! 
% 0.82/0.44  % (798475)------------------------------
% 0.82/0.44  % (798475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.44  % (798475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.44  % (798475)CaDiCaL version: 2.1.3
% 0.82/0.44  % (798475)Termination reason: Instruction limit
% 0.82/0.44  % (798475)Termination phase: shuffling
% 0.82/0.44  % (798475)Time elapsed: 0.001 s
% 0.82/0.44  % (798475)Peak memory usage: 9 MB
% 0.82/0.44  % (798475)Instructions burned: 2 (million)
% 0.82/0.44  % (798478)Instruction limit reached! 
% 0.82/0.44  % (798478)------------------------------
% 0.82/0.44  % (798478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.44  % (798478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.44  % (798478)CaDiCaL version: 2.1.3
% 0.82/0.44  % (798478)Termination reason: Instruction limit
% 0.82/0.44  % (798478)Termination phase: Property scanning
% 0.82/0.44  % (798478)Time elapsed: 0.003 s
% 0.82/0.44  % (798478)Peak memory usage: 10 MB
% 0.82/0.44  % (798476)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=804317557:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.82/0.44  % (798478)Instructions burned: 14 (million)
% 0.82/0.44  % (798477)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.82/0.44  % (798476)Instruction limit reached! 
% 0.82/0.44  % (798476)------------------------------
% 0.82/0.44  % (798476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.44  % (798476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.44  % (798476)CaDiCaL version: 2.1.3
% 0.82/0.44  % (798476)Termination reason: Instruction limit
% 0.82/0.44  % (798476)Termination phase: shuffling
% 0.82/0.44  % (798476)Time elapsed: 0.003 s
% 0.82/0.44  % (798476)Peak memory usage: 10 MB
% 0.82/0.44  % (798476)Instructions burned: 7 (million)
% 0.82/0.44  % (798477)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3312397464:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.82/0.44  % (798466)Instruction limit reached! 
% 0.82/0.44  % (798466)------------------------------
% 0.82/0.44  % (798466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.44  % (798466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.44  % (798466)CaDiCaL version: 2.1.3
% 0.82/0.44  % (798466)Termination reason: Instruction limit
% 0.82/0.44  % (798466)Termination phase: Saturation
% 0.82/0.44  % (798466)Time elapsed: 0.032 s
% 0.82/0.44  % (798466)Peak memory usage: 12 MB
% 0.82/0.44  % (798466)Instructions burned: 76 (million)
% 0.82/0.44  % (798477)Instruction limit reached! 
% 0.82/0.44  % (798477)------------------------------
% 0.82/0.44  % (798477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.44  % (798477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.44  % (798477)CaDiCaL version: 2.1.3
% 0.82/0.44  % (798477)Termination reason: Instruction limit
% 0.82/0.44  % (798477)Termination phase: shuffling
% 0.82/0.44  % (798477)Time elapsed: 0.003 s
% 0.82/0.44  % (798477)Peak memory usage: 9 MB
% 0.82/0.44  % (798477)Instructions burned: 7 (million)
% 0.82/0.44  % (798483)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=2973201234:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.82/0.44  % (798481)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.82/0.44  % (798481)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.82/0.44  % (798486)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.82/0.44  % (798486)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=3254030751:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.82/0.44  % (798487)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2513326692:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.82/0.48  % (798481)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=863439149:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.82/0.48  % (798486)Instruction limit reached! 
% 0.82/0.48  % (798486)------------------------------
% 0.82/0.48  % (798486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.48  % (798486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.48  % (798486)CaDiCaL version: 2.1.3
% 0.82/0.48  % (798486)Termination reason: Instruction limit
% 0.82/0.48  % (798486)Termination phase: shuffling
% 0.82/0.48  % (798486)Time elapsed: 0.002 s
% 0.82/0.48  % (798486)Peak memory usage: 9 MB
% 0.82/0.48  % (798486)Instructions burned: 4 (million)
% 0.82/0.48  % (798483)Instruction limit reached! 
% 0.82/0.48  % (798483)------------------------------
% 0.82/0.48  % (798483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.48  % (798483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.48  % (798483)CaDiCaL version: 2.1.3
% 0.82/0.48  % (798483)Termination reason: Instruction limit
% 0.82/0.48  % (798483)Termination phase: Saturation
% 0.82/0.48  % (798483)Time elapsed: 0.022 s
% 0.82/0.48  % (798483)Peak memory usage: 13 MB
% 0.82/0.48  % (798483)Instructions burned: 90 (million)
% 0.82/0.48  % (798485)lrs+10_1_si=on:cs=on:random_seed=543990821:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.82/0.48  % (798487)Refutation not found, incomplete strategy
% 0.82/0.48  % (798487)------------------------------
% 0.82/0.48  % (798487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.48  % (798487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.48  % (798487)CaDiCaL version: 2.1.3
% 0.82/0.48  % (798487)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.48  % (798487)Time elapsed: 0.012 s
% 0.82/0.48  % (798487)Peak memory usage: 12 MB
% 0.82/0.48  % (798487)Instructions burned: 26 (million)
% 0.82/0.48  % (798481)Instruction limit reached! 
% 0.82/0.48  % (798481)------------------------------
% 0.82/0.48  % (798481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.48  % (798481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.48  % (798481)CaDiCaL version: 2.1.3
% 0.82/0.48  % (798481)Termination reason: Instruction limit
% 0.82/0.48  % (798481)Termination phase: Property scanning
% 0.82/0.48  % (798481)Time elapsed: 0.012 s
% 0.82/0.48  % (798481)Peak memory usage: 9 MB
% 0.82/0.48  % (798481)Instructions burned: 30 (million)
% 0.82/0.48  % (798485)Instruction limit reached! 
% 0.82/0.48  % (798485)------------------------------
% 0.82/0.48  % (798485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.48  % (798485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.48  % (798485)CaDiCaL version: 2.1.3
% 0.82/0.48  % (798485)Termination reason: Instruction limit
% 0.82/0.48  % (798485)Termination phase: Property scanning
% 0.82/0.48  % (798485)Time elapsed: 0.003 s
% 0.82/0.48  % (798485)Peak memory usage: 10 MB
% 0.82/0.48  % (798485)Instructions burned: 13 (million)
% 0.82/0.48  % (798487)------------------------------
% 0.82/0.48  % (798487)------------------------------
% 0.82/0.48  % (798492)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4065306312:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.82/0.48  % (798496)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4116989055:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.82/0.48  % (798467)Instruction limit reached! 
% 0.82/0.48  % (798467)------------------------------
% 0.82/0.48  % (798467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.48  % (798467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.48  % (798467)CaDiCaL version: 2.1.3
% 0.82/0.48  % (798467)Termination reason: Instruction limit
% 0.82/0.48  % (798467)Termination phase: Saturation
% 0.82/0.48  % (798467)Time elapsed: 0.083 s
% 0.82/0.48  % (798467)Peak memory usage: 14 MB
% 0.82/0.48  % (798467)Instructions burned: 159 (million)
% 0.82/0.48  % (798495)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1342193540:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.82/0.48  % (798497)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3561326754:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.49/0.52  % (798495)Instruction limit reached! 
% 1.49/0.52  % (798495)------------------------------
% 1.49/0.52  % (798495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.52  % (798495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.52  % (798495)CaDiCaL version: 2.1.3
% 1.49/0.52  % (798495)Termination reason: Instruction limit
% 1.49/0.52  % (798495)Termination phase: Property scanning
% 1.49/0.52  % (798495)Time elapsed: 0.006 s
% 1.49/0.52  % (798495)Peak memory usage: 10 MB
% 1.49/0.52  % (798495)Instructions burned: 14 (million)
% 1.49/0.52  % (798497)Instruction limit reached! 
% 1.49/0.52  % (798497)------------------------------
% 1.49/0.52  % (798497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.52  % (798497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.52  % (798497)CaDiCaL version: 2.1.3
% 1.49/0.52  % (798497)Termination reason: Instruction limit
% 1.49/0.52  % (798497)Termination phase: Property scanning
% 1.49/0.52  % (798497)Time elapsed: 0.007 s
% 1.49/0.52  % (798497)Peak memory usage: 10 MB
% 1.49/0.52  % (798497)Instructions burned: 16 (million)
% 1.49/0.52  % (798493)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3265098399:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 1.49/0.52  % (798500)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3173403189:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.49/0.52  % (798493)Instruction limit reached! 
% 1.49/0.52  % (798493)------------------------------
% 1.49/0.52  % (798493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.52  % (798493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.52  % (798493)CaDiCaL version: 2.1.3
% 1.49/0.52  % (798493)Termination reason: Instruction limit
% 1.49/0.52  % (798493)Termination phase: SInE selection
% 1.49/0.52  % (798493)Time elapsed: 0.011 s
% 1.49/0.52  % (798493)Peak memory usage: 10 MB
% 1.49/0.52  % (798493)Instructions burned: 26 (million)
% 1.49/0.52  % (798500)Instruction limit reached! 
% 1.49/0.52  % (798500)------------------------------
% 1.49/0.52  % (798500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.52  % (798500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.52  % (798500)CaDiCaL version: 2.1.3
% 1.49/0.52  % (798500)Termination reason: Instruction limit
% 1.49/0.52  % (798500)Termination phase: shuffling
% 1.49/0.52  % (798500)Time elapsed: 0.003 s
% 1.49/0.52  % (798500)Peak memory usage: 10 MB
% 1.49/0.52  % (798500)Instructions burned: 6 (million)
% 1.49/0.52  % (798503)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1405540300:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.49/0.52  % (798505)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1215717622:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.49/0.52  % (798508)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
% 1.49/0.52  % (798508)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.49/0.52  % (798503)Instruction limit reached! 
% 1.49/0.52  % (798503)------------------------------
% 1.49/0.52  % (798503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.52  % (798503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.52  % (798503)CaDiCaL version: 2.1.3
% 1.49/0.52  % (798503)Termination reason: Instruction limit
% 1.49/0.52  % (798503)Termination phase: Property scanning
% 1.49/0.52  % (798503)Time elapsed: 0.011 s
% 1.49/0.52  % (798503)Peak memory usage: 10 MB
% 1.49/0.52  % (798503)Instructions burned: 27 (million)
% 1.49/0.52  % (798505)Instruction limit reached! 
% 1.49/0.52  % (798505)------------------------------
% 1.49/0.52  % (798505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.52  % (798505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.59  % (798505)CaDiCaL version: 2.1.3
% 2.02/0.59  % (798505)Termination reason: Instruction limit
% 2.02/0.59  % (798505)Termination phase: Preprocessing 3
% 2.02/0.59  % (798505)Time elapsed: 0.010 s
% 2.02/0.59  % (798505)Peak memory usage: 10 MB
% 2.02/0.59  % (798505)Instructions burned: 25 (million)
% 2.02/0.59  % (798507)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=386905883:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.02/0.59  % (798508)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=1508148609:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.02/0.59  % (798508)Instruction limit reached! 
% 2.02/0.59  % (798508)------------------------------
% 2.02/0.59  % (798508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.02/0.59  % (798508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.59  % (798508)CaDiCaL version: 2.1.3
% 2.02/0.59  % (798508)Termination reason: Instruction limit
% 2.02/0.59  % (798508)Termination phase: Property scanning
% 2.02/0.59  % (798508)Time elapsed: 0.007 s
% 2.02/0.59  % (798508)Peak memory usage: 9 MB
% 2.02/0.59  % (798508)Instructions burned: 16 (million)
% 2.02/0.59  % (798511)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.02/0.59  % (798511)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=2563688137:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.02/0.59  % (798513)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=436491096:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.02/0.59  % (798511)Instruction limit reached! 
% 2.02/0.59  % (798511)------------------------------
% 2.02/0.59  % (798511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.02/0.59  % (798511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.59  % (798511)CaDiCaL version: 2.1.3
% 2.02/0.59  % (798511)Termination reason: Instruction limit
% 2.02/0.59  % (798511)Termination phase: shuffling
% 2.02/0.59  % (798511)Time elapsed: 0.004 s
% 2.02/0.59  % (798511)Peak memory usage: 10 MB
% 2.02/0.59  % (798511)Instructions burned: 9 (million)
% 2.02/0.59  % (798515)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2599374415:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.02/0.59  % (798515)Instruction limit reached! 
% 2.02/0.59  % (798515)------------------------------
% 2.02/0.59  % (798515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.02/0.59  % (798515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.59  % (798515)CaDiCaL version: 2.1.3
% 2.02/0.59  % (798515)Termination reason: Instruction limit
% 2.02/0.59  % (798515)Termination phase: shuffling
% 2.02/0.59  % (798515)Time elapsed: 0.004 s
% 2.02/0.59  % (798515)Peak memory usage: 10 MB
% 2.02/0.59  % (798515)Instructions burned: 8 (million)
% 2.02/0.59  % (798513)Instruction limit reached! 
% 2.02/0.59  % (798513)------------------------------
% 2.02/0.59  % (798513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.02/0.59  % (798513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.59  % (798513)CaDiCaL version: 2.1.3
% 2.02/0.59  % (798513)Termination reason: Instruction limit
% 2.02/0.59  % (798513)Termination phase: Property scanning
% 2.02/0.59  % (798513)Time elapsed: 0.013 s
% 2.02/0.59  % (798513)Peak memory usage: 10 MB
% 2.02/0.59  % (798513)Instructions burned: 32 (million)
% 2.02/0.59  % (798496)Instruction limit reached! 
% 2.02/0.59  % (798496)------------------------------
% 2.02/0.59  % (798496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.02/0.59  % (798496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.59  % (798496)CaDiCaL version: 2.1.3
% 2.02/0.59  % (798496)Termination reason: Instruction limit
% 2.02/0.59  % (798496)Termination phase: Saturation
% 2.02/0.59  % (798496)Time elapsed: 0.084 s
% 2.02/0.59  % (798496)Peak memory usage: 16 MB
% 2.02/0.59  % (798496)Instructions burned: 327 (million)
% 2.02/0.59  % (798518)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4088763631:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.28/0.66  % (798507)Instruction limit reached! 
% 2.28/0.66  % (798507)------------------------------
% 2.28/0.66  % (798507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.66  % (798507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.66  % (798507)CaDiCaL version: 2.1.3
% 2.28/0.66  % (798507)Termination reason: Instruction limit
% 2.28/0.66  % (798507)Termination phase: Saturation
% 2.28/0.66  % (798507)Time elapsed: 0.044 s
% 2.28/0.66  % (798507)Peak memory usage: 13 MB
% 2.28/0.66  % (798507)Instructions burned: 61 (million)
% 2.28/0.66  % (798518)Instruction limit reached! 
% 2.28/0.66  % (798518)------------------------------
% 2.28/0.66  % (798518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.66  % (798518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.66  % (798518)CaDiCaL version: 2.1.3
% 2.28/0.66  % (798518)Termination reason: Instruction limit
% 2.28/0.66  % (798518)Termination phase: Property scanning
% 2.28/0.66  % (798518)Time elapsed: 0.010 s
% 2.28/0.66  % (798518)Peak memory usage: 10 MB
% 2.28/0.66  % (798518)Instructions burned: 25 (million)
% 2.28/0.66  % (798492)Instruction limit reached! 
% 2.28/0.66  % (798492)------------------------------
% 2.28/0.66  % (798492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.66  % (798492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.66  % (798492)CaDiCaL version: 2.1.3
% 2.28/0.66  % (798492)Termination reason: Instruction limit
% 2.28/0.66  % (798492)Termination phase: Saturation
% 2.28/0.66  % (798492)Time elapsed: 0.106 s
% 2.28/0.66  % (798492)Peak memory usage: 14 MB
% 2.28/0.66  % (798492)Instructions burned: 250 (million)
% 2.28/0.66  % (798520)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=997874940:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.28/0.66  % (798521)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1670451242:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.28/0.66  % (798525)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=435196584:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.28/0.66  % (798522)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2916555648:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.28/0.66  % (798526)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.28/0.66  % (798525)Instruction limit reached! 
% 2.28/0.66  % (798525)------------------------------
% 2.28/0.66  % (798525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.66  % (798525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.66  % (798525)CaDiCaL version: 2.1.3
% 2.28/0.66  % (798525)Termination reason: Instruction limit
% 2.28/0.66  % (798525)Termination phase: Saturation
% 2.28/0.66  % (798525)Time elapsed: 0.009 s
% 2.28/0.66  % (798525)Peak memory usage: 12 MB
% 2.28/0.66  % (798525)Instructions burned: 43 (million)
% 2.28/0.66  % (798526)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=962117585:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.28/0.66  % (798520)Instruction limit reached! 
% 2.28/0.66  % (798520)------------------------------
% 2.28/0.66  % (798520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.66  % (798520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.66  % (798520)CaDiCaL version: 2.1.3
% 2.28/0.66  % (798520)Termination reason: Instruction limit
% 2.28/0.66  % (798520)Termination phase: SInE selection
% 2.28/0.66  % (798520)Time elapsed: 0.016 s
% 2.28/0.66  % (798520)Peak memory usage: 10 MB
% 2.28/0.66  % (798520)Instructions burned: 22 (million)
% 2.28/0.66  % (798526)Instruction limit reached! 
% 2.28/0.66  % (798526)------------------------------
% 2.28/0.66  % (798526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.66  % (798526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.66  % (798526)CaDiCaL version: 2.1.3
% 2.28/0.66  % (798526)Termination reason: Instruction limit
% 2.28/0.66  % (798526)Termination phase: shuffling
% 2.28/0.66  % (798526)Time elapsed: 0.004 s
% 2.28/0.66  % (798526)Peak memory usage: 9 MB
% 2.46/0.76  % (798526)Instructions burned: 10 (million)
% 2.46/0.76  % (798524)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1186450470:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.46/0.76  % (798532)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=607475499:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.46/0.76  % (798532)Refutation not found, incomplete strategy
% 2.46/0.76  % (798532)------------------------------
% 2.46/0.76  % (798532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.76  % (798532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.76  % (798532)CaDiCaL version: 2.1.3
% 2.46/0.76  % (798532)Termination reason: Refutation not found, incomplete strategy
% 2.46/0.76  % (798532)Time elapsed: 0.006 s
% 2.46/0.76  % (798532)Peak memory usage: 12 MB
% 2.46/0.76  % (798532)Instructions burned: 27 (million)
% 2.46/0.76  % (798532)------------------------------
% 2.46/0.76  % (798532)------------------------------
% 2.46/0.76  % (798535)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.46/0.76  % (798533)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=3288763557:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.46/0.76  % (798535)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1342843829:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.46/0.76  % (798535)Instruction limit reached! 
% 2.46/0.76  % (798535)------------------------------
% 2.46/0.76  % (798535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.76  % (798535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.76  % (798535)CaDiCaL version: 2.1.3
% 2.46/0.76  % (798535)Termination reason: Instruction limit
% 2.46/0.76  % (798535)Termination phase: shuffling
% 2.46/0.76  % (798535)Time elapsed: 0.003 s
% 2.46/0.76  % (798535)Peak memory usage: 9 MB
% 2.46/0.76  % (798535)Instructions burned: 7 (million)
% 2.46/0.76  % (798540)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3872242206:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.46/0.76  % (798540)Instruction limit reached! 
% 2.46/0.76  % (798540)------------------------------
% 2.46/0.76  % (798540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.76  % (798540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.76  % (798540)CaDiCaL version: 2.1.3
% 2.46/0.76  % (798540)Termination reason: Instruction limit
% 2.46/0.76  % (798540)Termination phase: Property scanning
% 2.46/0.76  % (798540)Time elapsed: 0.005 s
% 2.46/0.76  % (798540)Peak memory usage: 9 MB
% 2.46/0.76  % (798540)Instructions burned: 23 (million)
% 2.46/0.76  % (798522)Instruction limit reached! 
% 2.46/0.76  % (798522)------------------------------
% 2.46/0.76  % (798522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.76  % (798522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.76  % (798522)CaDiCaL version: 2.1.3
% 2.46/0.76  % (798522)Termination reason: Instruction limit
% 2.46/0.76  % (798522)Termination phase: Saturation
% 2.46/0.76  % (798522)Time elapsed: 0.063 s
% 2.46/0.76  % (798522)Peak memory usage: 14 MB
% 2.46/0.76  % (798522)Instructions burned: 143 (million)
% 2.46/0.76  % (798537)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4056106796:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.46/0.76  % (798542)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=3994743393:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.46/0.76  % (798544)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=3818109050:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.46/0.76  % (798537)Instruction limit reached! 
% 2.46/0.76  % (798537)------------------------------
% 2.46/0.76  % (798537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.83  % (798537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.83  % (798537)CaDiCaL version: 2.1.3
% 2.99/0.83  % (798537)Termination reason: Instruction limit
% 2.99/0.83  % (798537)Termination phase: Preprocessing 3
% 2.99/0.83  % (798537)Time elapsed: 0.022 s
% 2.99/0.83  % (798537)Peak memory usage: 10 MB
% 2.99/0.83  % (798537)Instructions burned: 25 (million)
% 2.99/0.83  % (798547)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=3240225329:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.99/0.83  % (798547)Instruction limit reached! 
% 2.99/0.83  % (798547)------------------------------
% 2.99/0.83  % (798547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.83  % (798547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.83  % (798547)CaDiCaL version: 2.1.3
% 2.99/0.83  % (798547)Termination reason: Instruction limit
% 2.99/0.83  % (798547)Termination phase: Saturation
% 2.99/0.83  % (798547)Time elapsed: 0.011 s
% 2.99/0.83  % (798547)Peak memory usage: 12 MB
% 2.99/0.83  % (798547)Instructions burned: 50 (million)
% 2.99/0.83  % (798549)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2763661799:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.99/0.83  % (798524)Instruction limit reached! 
% 2.99/0.83  % (798524)------------------------------
% 2.99/0.83  % (798524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.83  % (798524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.83  % (798524)CaDiCaL version: 2.1.3
% 2.99/0.83  % (798524)Termination reason: Instruction limit
% 2.99/0.83  % (798524)Termination phase: Saturation
% 2.99/0.83  % (798524)Time elapsed: 0.114 s
% 2.99/0.83  % (798524)Peak memory usage: 14 MB
% 2.99/0.83  % (798524)Instructions burned: 195 (million)
% 2.99/0.83  % (798464)Instruction limit reached! 
% 2.99/0.83  % (798464)------------------------------
% 2.99/0.83  % (798464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.83  % (798464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.83  % (798464)CaDiCaL version: 2.1.3
% 2.99/0.83  % (798464)Termination reason: Instruction limit
% 2.99/0.83  % (798464)Termination phase: Saturation
% 2.99/0.83  % (798464)Time elapsed: 0.322 s
% 2.99/0.83  % (798464)Peak memory usage: 18 MB
% 2.99/0.83  % (798464)Instructions burned: 634 (million)
% 2.99/0.83  % (798549)Refutation not found, incomplete strategy
% 2.99/0.83  % (798549)------------------------------
% 2.99/0.83  % (798549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.83  % (798549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.83  % (798549)CaDiCaL version: 2.1.3
% 2.99/0.83  % (798549)Termination reason: Refutation not found, incomplete strategy
% 2.99/0.83  % (798549)Time elapsed: 0.011 s
% 2.99/0.83  % (798549)Peak memory usage: 12 MB
% 2.99/0.83  % (798549)Instructions burned: 42 (million)
% 2.99/0.83  % (798549)------------------------------
% 2.99/0.83  % (798549)------------------------------
% 2.99/0.83  % (798552)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.99/0.83  % (798551)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=267250695:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.99/0.83  % (798553)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3301542751:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.99/0.83  % (798552)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3793794016:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.99/0.83  % (798553)Instruction limit reached! 
% 2.99/0.83  % (798553)------------------------------
% 2.99/0.83  % (798553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.83  % (798553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.83  % (798553)CaDiCaL version: 2.1.3
% 2.99/0.83  % (798553)Termination reason: Instruction limit
% 2.99/0.83  % (798553)Termination phase: Property scanning
% 2.99/0.83  % (798553)Time elapsed: 0.004 s
% 2.99/0.83  % (798553)Peak memory usage: 10 MB
% 2.99/0.83  % (798553)Instructions burned: 17 (million)
% 2.99/0.83  % (798533)Instruction limit reached! 
% 2.99/0.83  % (798533)------------------------------
% 2.99/0.83  % (798533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.83  % (798551)Instruction limit reached! 
% 2.99/0.83  % (798551)------------------------------
% 2.99/0.83  % (798551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.83  % (798551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.83  % (798551)CaDiCaL version: 2.1.3
% 2.99/0.83  % (798551)Termination reason: Instruction limit
% 2.99/0.83  % (798551)Termination phase: Preprocessing 3
% 2.99/0.83  % (798551)Time elapsed: 0.010 s
% 2.99/0.83  % (798551)Peak memory usage: 10 MB
% 2.99/0.83  % (798551)Instructions burned: 22 (million)
% 2.99/0.83  % (798533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.83  % (798533)CaDiCaL version: 2.1.3
% 2.99/0.83  % (798533)Termination reason: Instruction limit
% 2.99/0.83  % (798533)Termination phase: Saturation
% 2.99/0.83  % (798533)Time elapsed: 0.129 s
% 2.99/0.83  % (798533)Peak memory usage: 14 MB
% 2.99/0.83  % (798533)Instructions burned: 176 (million)
% 2.99/0.83  % (798558)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=89137272:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.99/0.83  % (798557)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=1325494090:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.99/0.83  % (798559)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=483921993:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.99/0.83  % (798558)Instruction limit reached! 
% 2.99/0.83  % (798558)------------------------------
% 2.99/0.83  % (798558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.83  % (798558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.83  % (798558)CaDiCaL version: 2.1.3
% 2.99/0.83  % (798558)Termination reason: Instruction limit
% 2.99/0.83  % (798558)Termination phase: Saturation
% 2.99/0.83  % (798558)Time elapsed: 0.021 s
% 2.99/0.83  % (798558)Peak memory usage: 12 MB
% 2.99/0.83  % (798558)Instructions burned: 51 (million)
% 2.99/0.83  % (798563)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1028813330:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 2.99/0.83  % (798559)Instruction limit reached! 
% 2.99/0.83  % (798559)------------------------------
% 2.99/0.83  % (798559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.83  % (798559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.83  % (798559)CaDiCaL version: 2.1.3
% 2.99/0.83  % (798559)Termination reason: Instruction limit
% 2.99/0.83  % (798559)Termination phase: Property scanning
% 2.99/0.83  % (798559)Time elapsed: 0.024 s
% 2.99/0.83  % (798559)Peak memory usage: 10 MB
% 2.99/0.83  % (798559)Instructions burned: 32 (million)
% 2.99/0.83  % (798557)Instruction limit reached! 
% 2.99/0.83  % (798557)------------------------------
% 2.99/0.83  % (798557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.83  % (798557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.83  % (798557)CaDiCaL version: 2.1.3
% 2.99/0.83  % (798557)Termination reason: Instruction limit
% 2.99/0.83  % (798557)Termination phase: Saturation
% 2.99/0.83  % (798557)Time elapsed: 0.054 s
% 2.99/0.83  % (798557)Peak memory usage: 13 MB
% 2.99/0.83  % (798557)Instructions burned: 67 (million)
% 2.99/0.83  % (798542)Instruction limit reached! 
% 2.99/0.83  % (798542)------------------------------
% 2.99/0.83  % (798542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.83  % (798542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.83  % (798542)CaDiCaL version: 2.1.3
% 2.99/0.83  % (798542)Termination reason: Instruction limit
% 2.99/0.83  % (798542)Termination phase: Saturation
% 2.99/0.83  % (798542)Time elapsed: 0.178 s
% 2.99/0.83  % (798542)Peak memory usage: 16 MB
% 2.99/0.83  % (798542)Instructions burned: 316 (million)
% 2.99/0.83  % (798567)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=352567623:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 2.99/0.83  % (798568)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2077358131:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 2.99/0.83  % (798567)Instruction limit reached! 
% 2.99/0.83  % (798567)------------------------------
% 2.99/0.83  % (798567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.83  % (798567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.83  % (798567)CaDiCaL version: 2.1.3
% 2.99/0.83  % (798567)Termination reason: Instruction limit
% 2.99/0.83  % (798567)Termination phase: Saturation
% 2.99/0.83  % (798567)Time elapsed: 0.015 s
% 2.99/0.83  % (798567)Peak memory usage: 11 MB
% 2.99/0.83  % (798567)Instructions burned: 36 (million)
% 2.99/0.83  % (798569)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.99/0.83  % (798569)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=65320862:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 2.99/0.83  % (798568)Instruction limit reached! 
% 2.99/0.83  % (798568)------------------------------
% 2.99/0.83  % (798568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.83  % (798568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.83  % (798568)CaDiCaL version: 2.1.3
% 2.99/0.83  % (798568)Termination reason: Instruction limit
% 2.99/0.83  % (798568)Termination phase: Saturation
% 2.99/0.83  % (798568)Time elapsed: 0.029 s
% 2.99/0.83  % (798568)Peak memory usage: 12 MB
% 2.99/0.83  % (798568)Instructions burned: 67 (million)
% 2.99/0.83  % (798572)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1909764807:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 2.99/0.83  % (798544) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-798456-798544"...
% 2.99/0.83  % (798552)Instruction limit reached! 
% 2.99/0.83  % (798552)------------------------------
% 2.99/0.83  % (798552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.83  % (798552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.83  % (798552)CaDiCaL version: 2.1.3
% 2.99/0.83  % (798552)Termination reason: Instruction limit
% 2.99/0.83  % (798552)Termination phase: Saturation
% 2.99/0.83  % (798552)Time elapsed: 0.155 s
% 2.99/0.83  % (798552)Peak memory usage: 14 MB
% 2.99/0.83  % (798552)Instructions burned: 200 (million)
% 2.99/0.83  % (798574)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2515181632:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 2.99/0.83  % (798544)...printing done.
% 2.99/0.83  % (798544)Refutation found. Thanks to Tanya!
% 2.99/0.83  % SZS status Theorem for theBenchmark
% 2.99/0.83  % SZS output start Proof for theBenchmark
% 2.99/0.83  thf(type_def_5, type, unsorted: $tType).
% 2.99/0.83  thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 2.99/0.83  thf(type_def_7, type, d_unsorted: $tType).
% 2.99/0.83  thf(func_def_0, type, subrel: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 2.99/0.83  thf(func_def_1, type, inv: (($i > $i > $o) > $i > $i > $o)).
% 2.99/0.83  thf(func_def_2, type, idem: ((($i > $i > $o) > $i > $i > $o) > $o)).
% 2.99/0.83  thf(func_def_3, type, infl: ((($i > $i > $o) > $i > $i > $o) > $o)).
% 2.99/0.83  thf(func_def_4, type, mono: ((($i > $i > $o) > $i > $i > $o) > $o)).
% 2.99/0.83  thf(func_def_5, type, refl: (($i > $i > $o) > $o)).
% 2.99/0.83  thf(func_def_6, type, irrefl: (($i > $i > $o) > $o)).
% 2.99/0.83  thf(func_def_7, type, rc: (($i > $i > $o) > $i > $i > $o)).
% 2.99/0.83  thf(func_def_8, type, symm: (($i > $i > $o) > $o)).
% 2.99/0.83  thf(func_def_9, type, antisymm: (($i > $i > $o) > $o)).
% 2.99/0.83  thf(func_def_10, type, asymm: (($i > $i > $o) > $o)).
% 2.99/0.83  thf(func_def_11, type, sc: (($i > $i > $o) > $i > $i > $o)).
% 2.99/0.83  thf(func_def_12, type, trans: (($i > $i > $o) > $o)).
% 2.99/0.83  thf(func_def_13, type, tc: (($i > $i > $o) > $i > $i > $o)).
% 2.99/0.83  thf(func_def_14, type, trc: (($i > $i > $o) > $i > $i > $o)).
% 2.99/0.83  thf(func_def_15, type, trsc: (($i > $i > $o) > $i > $i > $o)).
% 2.99/0.83  thf(func_def_16, type, po: (($i > $i > $o) > $o)).
% 2.99/0.83  thf(func_def_17, type, so: (($i > $i > $o) > $o)).
% 2.99/0.83  thf(func_def_18, type, total: (($i > $i > $o) > $o)).
% 2.99/0.83  thf(func_def_19, type, term: (($i > $i > $o) > $o)).
% 2.99/0.83  thf(func_def_20, type, ind: (($i > $i > $o) > $o)).
% 2.99/0.83  thf(func_def_21, type, innf: (($i > $i > $o) > $i > $o)).
% 2.99/0.83  thf(func_def_22, type, nfof: (($i > $i > $o) > $i > $i > $o)).
% 2.99/0.83  thf(func_def_23, type, norm: (($i > $i > $o) > $o)).
% 2.99/0.83  thf(func_def_24, type, join: (($i > $i > $o) > $i > $i > $o)).
% 2.99/0.83  thf(func_def_25, type, lconfl: (($i > $i > $o) > $o)).
% 2.99/0.83  thf(func_def_26, type, sconfl: (($i > $i > $o) > $o)).
% 2.99/0.83  thf(func_def_27, type, confl: (($i > $i > $o) > $o)).
% 2.99/0.83  thf(func_def_28, type, cr: (($i > $i > $o) > $o)).
% 2.99/0.83  thf(func_def_29, type, d2unsorted: (d_unsorted > $i)).
% 2.99/0.83  thf(func_def_30, type, d_unsorted_0: d_unsorted).
% 2.99/0.83  thf(func_def_32, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.99/0.83  thf(func_def_33, type, vOR: ($o > $o > $o)).
% 2.99/0.83  thf(func_def_34, type, vNOT: ($o > $o)).
% 2.99/0.83  thf(func_def_35, type, db0: !>[X0: $tType]:(X0)).
% 2.99/0.83  thf(func_def_36, type, db1: !>[X0: $tType]:(X0)).
% 2.99/0.83  thf(func_def_37, type, db2: !>[X0: $tType]:(X0)).
% 2.99/0.83  thf(func_def_38, type, db4: !>[X0: $tType]:(X0)).
% 2.99/0.83  thf(func_def_39, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.99/0.83  thf(func_def_40, type, vAND: ($o > $o > $o)).
% 2.99/0.83  thf(func_def_41, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.99/0.83  thf(func_def_42, type, db3: !>[X0: $tType]:(X0)).
% 2.99/0.83  thf(func_def_43, type, db5: !>[X0: $tType]:(X0)).
% 2.99/0.83  thf(func_def_44, type, db7: !>[X0: $tType]:(X0)).
% 2.99/0.83  thf(func_def_45, type, db9: !>[X0: $tType]:(X0)).
% 2.99/0.83  thf(func_def_46, type, db6: !>[X0: $tType]:(X0)).
% 2.99/0.83  thf(func_def_47, type, db8: !>[X0: $tType]:(X0)).
% 2.99/0.83  thf(func_def_48, type, vIMP: ($o > $o > $o)).
% 2.99/0.83  thf(func_def_49, type, sK0: ($i > d_unsorted)).
% 2.99/0.83  thf(func_def_53, type, sK2: ($i > $i > $o)).
% 2.99/0.83  thf(func_def_57, type, sK6: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_58, type, sK7: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_59, type, sK8: (($i > $i > $o) > $i > $i > $o)).
% 2.99/0.83  thf(func_def_60, type, sK9: (($i > $i > $o) > $i > $i > $o)).
% 2.99/0.83  thf(func_def_61, type, sK10: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_62, type, sK11: (($i > $i > $o) > $i > $i > $i > $o)).
% 2.99/0.83  thf(func_def_63, type, sK12: (($i > $i > $o) > $i > $i > $i > $o)).
% 2.99/0.83  thf(func_def_64, type, sK13: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_65, type, sK14: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_66, type, sK15: (($i > $i > $o) > $i > $i > $i)).
% 2.99/0.83  thf(func_def_67, type, sK16: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_68, type, sK17: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_69, type, sK18: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_70, type, sK19: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_71, type, sK20: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_72, type, sK21: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_73, type, sK22: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_74, type, sK23: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_75, type, sK24: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_76, type, sK25: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_77, type, sK26: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_78, type, sK27: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_79, type, sK28: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_80, type, sK29: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_81, type, sK30: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_82, type, sK31: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_83, type, sK32: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_84, type, sK33: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_85, type, sK34: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_86, type, sK35: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_87, type, sK36: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_88, type, sK37: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_89, type, sK38: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_90, type, sK39: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_91, type, sK40: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_92, type, sK41: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_93, type, sK42: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_94, type, sK43: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_95, type, sK44: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_96, type, sK45: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_97, type, sK46: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_98, type, sK47: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_99, type, sK48: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_100, type, sK49: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_101, type, sK50: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_102, type, sK51: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_103, type, sK52: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_104, type, sK53: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_105, type, sK54: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_106, type, sK55: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_107, type, sK56: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_108, type, sK57: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_109, type, sK58: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_110, type, sK59: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_111, type, sK60: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_112, type, sK61: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_113, type, sK62: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_114, type, sK63: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_115, type, sK64: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_116, type, sK65: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_117, type, sK66: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_118, type, sK67: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_119, type, sK68: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_120, type, sK69: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_121, type, sK70: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_122, type, sK71: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_123, type, sK72: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_124, type, sK73: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_125, type, sK74: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_126, type, sK75: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_127, type, sK76: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_128, type, sK77: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_129, type, sK78: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_130, type, sK79: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_131, type, sK80: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_132, type, sK81: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_133, type, sK82: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_134, type, sK83: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_135, type, sK84: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_136, type, sK85: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_137, type, sK86: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_138, type, sK87: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_139, type, sK88: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_140, type, sK89: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_141, type, sK90: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_142, type, sK91: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_143, type, sK92: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_144, type, sK93: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_145, type, sK94: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_146, type, sK95: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_147, type, sK96: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_148, type, sK97: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_149, type, sK98: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_150, type, sK99: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_151, type, sK100: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_152, type, sK101: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_153, type, sK102: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_154, type, sK103: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_155, type, sK104: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_156, type, sK105: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_157, type, sK106: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_158, type, sK107: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_159, type, sK108: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_160, type, sK109: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_161, type, sK110: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_162, type, sK111: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_163, type, sK112: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_164, type, sK113: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_165, type, sK114: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_166, type, sK115: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_167, type, sK116: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_168, type, sK117: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_169, type, sK118: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_170, type, sK119: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_171, type, sK120: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_172, type, sK121: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_173, type, sK122: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_174, type, sK123: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_175, type, sK124: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_176, type, sK125: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_177, type, sK126: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_178, type, sK127: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_179, type, sK128: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_180, type, sK129: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_181, type, sK130: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_182, type, sK131: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_183, type, sK132: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_184, type, sK133: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_185, type, sK134: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_186, type, sK135: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_187, type, sK136: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_188, type, sK137: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_189, type, sK138: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_190, type, sK139: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_191, type, sK140: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_192, type, sK141: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_193, type, sK142: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_194, type, sK143: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_195, type, sK144: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_196, type, sK145: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_197, type, sK146: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_198, type, sK147: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_199, type, sK148: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_200, type, sK149: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_201, type, sK150: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_202, type, sK151: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_203, type, sK152: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_204, type, sK153: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_205, type, sK154: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_206, type, sK155: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_207, type, sK156: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_208, type, sK157: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_209, type, sK158: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_210, type, sK159: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_211, type, sK160: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_212, type, sK161: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_213, type, sK162: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_214, type, sK163: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_215, type, sK164: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_216, type, sK165: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_217, type, sK166: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_218, type, sK167: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_219, type, sK168: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_220, type, sK169: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_221, type, sK170: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_222, type, sK171: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_223, type, sK172: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_224, type, sK173: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_225, type, sK174: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_226, type, sK175: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_227, type, sK176: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_228, type, sK177: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_229, type, sK178: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_230, type, sK179: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_231, type, sK180: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_232, type, sK181: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_233, type, sK182: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_234, type, sK183: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_235, type, sK184: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_236, type, sK185: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_237, type, sK186: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_238, type, sK187: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_239, type, sK188: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_240, type, sK189: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_241, type, sK190: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_242, type, sK191: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_243, type, sK192: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_244, type, sK193: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_245, type, sK194: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_246, type, sK195: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_247, type, sK196: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_248, type, sK197: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_249, type, sK198: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_250, type, sK199: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_251, type, sK200: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_252, type, sK201: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_253, type, sK202: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_254, type, sK203: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_255, type, sK204: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_256, type, sK205: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_257, type, sK206: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_258, type, sK207: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_259, type, sK208: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_260, type, sK209: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_261, type, sK210: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_262, type, sK211: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_263, type, sK212: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_264, type, sK213: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_265, type, sK214: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_266, type, sK215: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_267, type, sK216: ($i > $i > $o)).
% 2.99/0.83  thf(func_def_273, type, sK222: ($i > $i > $o)).
% 2.99/0.83  thf(func_def_274, type, sK223: ($i > $i > $o)).
% 2.99/0.83  thf(func_def_276, type, sK225: ($i > $i > $i > $o)).
% 2.99/0.83  thf(func_def_277, type, sK226: ($i > $i > $i > $o)).
% 2.99/0.83  thf(func_def_279, type, sK228: ($i > $i > $i > $o)).
% 2.99/0.83  thf(func_def_280, type, sK229: ($i > $i > $i > $o)).
% 2.99/0.83  thf(func_def_282, type, sK231: ($i > $i > $i > $o)).
% 2.99/0.83  thf(func_def_283, type, sK232: ($i > $i > $i > $o)).
% 2.99/0.83  thf(func_def_284, type, sK233: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_285, type, sK234: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_286, type, sK235: ($i > $i > $i)).
% 2.99/0.83  thf(func_def_287, type, sK236: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_288, type, sK237: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_289, type, sK238: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_290, type, sK239: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_291, type, sK240: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_292, type, sK241: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_293, type, sK242: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_294, type, sK243: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_295, type, sK244: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_296, type, sK245: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_297, type, sK246: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_298, type, sK247: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_299, type, sK248: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_300, type, sK249: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_301, type, sK250: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_302, type, sK251: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_303, type, sK252: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_304, type, sK253: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_305, type, sK254: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_306, type, sK255: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_307, type, sK256: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_308, type, sK257: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_309, type, sK258: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_310, type, sK259: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_311, type, sK260: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_312, type, sK261: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_313, type, sK262: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_314, type, sK263: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_315, type, sK264: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_316, type, sK265: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_317, type, sK266: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_318, type, sK267: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_319, type, sK268: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_320, type, sK269: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_321, type, sK270: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_322, type, sK271: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_323, type, sK272: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_324, type, sK273: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_325, type, sK274: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_326, type, sK275: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_327, type, sK276: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_328, type, sK277: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_329, type, sK278: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_330, type, sK279: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_331, type, sK280: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_332, type, sK281: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_333, type, sK282: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_334, type, sK283: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_335, type, sK284: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_336, type, sK285: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_337, type, sK286: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_338, type, sK287: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_339, type, sK288: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_340, type, sK289: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_341, type, sK290: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_342, type, sK291: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_343, type, sK292: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_344, type, sK293: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_345, type, sK294: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_346, type, sK295: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_347, type, sK296: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_348, type, sK297: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_349, type, sK298: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_350, type, sK299: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_351, type, sK300: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_352, type, sK301: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_353, type, sK302: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_354, type, sK303: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_355, type, sK304: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_356, type, sK305: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_357, type, sK306: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_358, type, sK307: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_359, type, sK308: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_360, type, sK309: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_361, type, sK310: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_362, type, sK311: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_363, type, sK312: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_364, type, sK313: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_365, type, sK314: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_366, type, sK315: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_367, type, sK316: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_368, type, sK317: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_369, type, sK318: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_370, type, sK319: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_371, type, sK320: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_372, type, sK321: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_373, type, sK322: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_374, type, sK323: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_375, type, sK324: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_376, type, sK325: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_377, type, sK326: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_378, type, sK327: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_379, type, sK328: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_380, type, sK329: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_381, type, sK330: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_382, type, sK331: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_383, type, sK332: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_384, type, sK333: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_385, type, sK334: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_386, type, sK335: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_387, type, sK336: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_388, type, sK337: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_389, type, sK338: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_390, type, sK339: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_391, type, sK340: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_392, type, sK341: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_393, type, sK342: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_394, type, sK343: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_395, type, sK344: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_396, type, sK345: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_397, type, sK346: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_398, type, sK347: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_399, type, sK348: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_400, type, sK349: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_401, type, sK350: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_402, type, sK351: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_403, type, sK352: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_404, type, sK353: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_405, type, sK354: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_406, type, sK355: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_407, type, sK356: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_408, type, sK357: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_409, type, sK358: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_410, type, sK359: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_411, type, sK360: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_412, type, sK361: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_413, type, sK362: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_414, type, sK363: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_415, type, sK364: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_416, type, sK365: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_417, type, sK366: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_418, type, sK367: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_419, type, sK368: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_420, type, sK369: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_421, type, sK370: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_422, type, sK371: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_423, type, sK372: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_424, type, sK373: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_425, type, sK374: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_426, type, sK375: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_427, type, sK376: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_428, type, sK377: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_429, type, sK378: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_430, type, sK379: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_431, type, sK380: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_432, type, sK381: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_433, type, sK382: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_434, type, sK383: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_435, type, sK384: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_436, type, sK385: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_437, type, sK386: (($i > $i > $o) > $i)).
% 2.99/0.83  thf(func_def_438, type, sK387: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_439, type, sK388: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_440, type, sK389: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_441, type, sK390: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_442, type, sK391: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_443, type, sK392: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_444, type, sK393: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_445, type, sK394: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_446, type, sK395: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_447, type, sK396: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_448, type, sK397: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_449, type, sK398: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_450, type, sK399: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_451, type, sK400: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_452, type, sK401: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_453, type, sK402: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_454, type, sK403: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_455, type, sK404: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_456, type, sK405: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_457, type, sK406: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_458, type, sK407: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_459, type, sK408: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_460, type, sK409: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_461, type, sK410: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_462, type, sK411: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_463, type, sK412: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_464, type, sK413: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_465, type, sK414: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_466, type, sK415: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_467, type, sK416: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_468, type, sK417: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_469, type, sK418: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_470, type, sK419: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_471, type, sK420: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_472, type, sK421: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_473, type, sK422: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_474, type, sK423: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_475, type, sK424: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_476, type, sK425: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_477, type, sK426: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_478, type, sK427: ($i > ($i > $i > $o) > $i > $i > $i > $o)).
% 2.99/0.84  thf(func_def_479, type, sK428: ($i > ($i > $i > $o) > $i > $i > $i > $o)).
% 2.99/0.84  thf(func_def_480, type, sK429: ($i > ($i > $i > $o) > $i > $i > $i > $o)).
% 2.99/0.84  thf(func_def_481, type, sK430: ($i > ($i > $i > $o) > $i > $i > $i > $o)).
% 2.99/0.84  thf(func_def_482, type, sK431: ($i > ($i > $i > $o) > $i > $i)).
% 2.99/0.84  thf(func_def_483, type, sK432: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_484, type, sK433: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_485, type, sK434: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_486, type, sK435: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_487, type, sK436: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_488, type, sK437: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_489, type, sK438: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_490, type, sK439: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_491, type, sK440: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_492, type, sK441: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_493, type, sK442: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_494, type, sK443: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_495, type, sK444: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_496, type, sK445: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_497, type, sK446: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_498, type, sK447: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_499, type, sK448: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_500, type, sK449: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_501, type, sK450: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_502, type, sK451: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_503, type, sK452: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_504, type, sK453: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_505, type, sK454: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_506, type, sK455: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_507, type, sK456: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_508, type, sK457: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_509, type, sK458: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_510, type, sK459: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_511, type, sK460: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_512, type, sK461: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_513, type, sK462: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_514, type, sK463: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_515, type, sK464: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_516, type, sK465: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_517, type, sK466: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_518, type, sK467: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_519, type, sK468: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_520, type, sK469: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_521, type, sK470: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_522, type, sK471: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_523, type, sK472: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_524, type, sK473: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_525, type, sK474: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_526, type, sK475: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_527, type, sK476: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_528, type, sK477: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_529, type, sK478: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_530, type, sK479: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_531, type, sK480: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_532, type, sK481: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_533, type, sK482: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_534, type, sK483: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_535, type, sK484: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_536, type, sK485: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_537, type, sK486: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_538, type, sK487: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_539, type, sK488: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_540, type, sK489: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_541, type, sK490: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_542, type, sK491: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_543, type, sK492: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_544, type, sK493: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_545, type, sK494: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_546, type, sK495: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_547, type, sK496: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_548, type, sK497: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_549, type, sK498: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_550, type, sK499: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_551, type, sK500: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_552, type, sK501: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_553, type, sK502: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_554, type, sK503: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_555, type, sK504: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_556, type, sK505: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_557, type, sK506: (($i > $i > $o) > ($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_558, type, sK507: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_559, type, sK508: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_560, type, sK509: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_561, type, sK510: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(func_def_562, type, sK511: (($i > $i > $o) > $i)).
% 2.99/0.84  thf(f1,axiom,(
% 2.99/0.84    ((^[X4 : ($i > $i > $o)] : (! [X20 : ($i > $o),X21 : $i] : ((X20 @ X21) | ~ ! [X6 : $i] : ((X20 @ X6) | ~ ! [X7 : $i] : ((X20 @ X7) | ~ ! [X5 : ($i > $i > $o)] : (~ ! [X11 : $i,X12 : $i,X13 : $i] : (~(X5 @ X12 @ X13) | ~(X5 @ X13 @ X11) | (X5 @ X12 @ X11)) | (X5 @ X6 @ X7) | ~ ! [X14 : $i,X15 : $i] : (~(X4 @ X14 @ X15) | (X5 @ X14 @ X15)))))))) = ind) & (sconfl = (^[X4 : ($i > $i > $o)] : (! [X30 : ($i > $i > $o),X31 : ($i > $i > $o),X6 : $i,X11 : $i,X7 : $i] : ((X7 = X11) | (~ ! [X5 : ($i > $i > $o)] : (~ ! [X14 : $i,X15 : $i] : ((X5 @ X14 @ X15) | ~(X4 @ X14 @ X15)) | ~ ! [X12 : $i,X13 : $i,X32 : $i] : ((X5 @ X12 @ X32) | ~(X5 @ X12 @ X13) | ~(X5 @ X13 @ X32)) | (X5 @ X6 @ X7)) & (X6 != X7)) | (X30 @ X7 @ X11) | ~ ! [X27 : $i] : (~ ! [X5 : ($i > $i > $o)] : (~ ! [X14 : $i,X15 : $i] : ((X5 @ X14 @ X15) | ~(X4 @ X14 @ X15)) | ~ ! [X13 : $i,X12 : $i,X25 : $i] : ((X5 @ X12 @ X25) | ~(X5 @ X13 @ X25) | ~(X5 @ X12 @ X13)) | (X5 @ X7 @ X27)) | ~ ! [X5 : ($i > $i > $o)] : (~ ! [X12 : $i,X26 : $i,X13 : $i] : ((X5 @ X12 @ X26) | ~(X5 @ X12 @ X13) | ~(X5 @ X13 @ X26)) | ~ ! [X14 : $i,X15 : $i] : (~(X4 @ X14 @ X15) | (X5 @ X14 @ X15)) | (X5 @ X11 @ X27))) | ~ ! [X15 : $i,X14 : $i] : ((X30 @ X14 @ X15) | ~(X4 @ X14 @ X15)) | ~ ! [X26 : $i,X12 : $i,X13 : $i] : (~(X31 @ X12 @ X13) | (X31 @ X12 @ X26) | ~(X31 @ X13 @ X26)) | ~(X4 @ X6 @ X11) | ~ ! [X25 : $i,X13 : $i,X12 : $i] : (~(X30 @ X12 @ X13) | ~(X30 @ X13 @ X25) | (X30 @ X12 @ X25)) | ~ ! [X14 : $i,X15 : $i] : (~(X4 @ X14 @ X15) | (X31 @ X14 @ X15)) | (X31 @ X11 @ X7))))) & ((^[X4 : ($i > $i > $o), X6 : $i, X7 : $i] : (! [X5 : ($i > $i > $o)] : ((X5 @ X6 @ X7) | ~ ! [X12 : $i,X11 : $i,X13 : $i] : (~(X5 @ X13 @ X11) | (X5 @ X12 @ X11) | ~(X5 @ X12 @ X13)) | ~ ! [X14 : $i,X15 : $i] : (~(X4 @ X14 @ X15) | (X5 @ X14 @ X15))))) = tc) & (antisymm = (^[X4 : ($i > $i > $o)] : (! [X6 : $i,X7 : $i] : (~(X4 @ X7 @ X6) | (X6 = X7) | ~(X4 @ X6 @ X7))))) & (rc = (^[X4 : ($i > $i > $o), X6 : $i, X7 : $i] : ((X4 @ X6 @ X7) | (X6 = X7)))) & ((^[X4 : ($i > $i > $o)] : (! [X6 : $i,X23 : $i] : (~ ! [X24 : $i] : (~ ! [X5 : ($i > $i > $o)] : (~ ! [X12 : $i,X11 : $i,X13 : $i] : (~(X5 @ X12 @ X13) | (X5 @ X12 @ X11) | ~(X5 @ X13 @ X11)) | (X5 @ X6 @ X24) | ~ ! [X14 : $i,X15 : $i] : ((X5 @ X14 @ X15) | ~(X4 @ X14 @ X15))) | ~ ! [X22 : $i] : ~(X4 @ X24 @ X22)) | ~(X4 @ X6 @ X23)))) = norm) & ! [X1 : d_unsorted] : (X1 = d_unsorted_0) & ((^[X4 : ($i > $i > $o), X6 : $i, X7 : $i] : (~(! [X27 : $i] : (~ ! [X5 : ($i > $i > $o)] : (~ ! [X15 : $i,X14 : $i] : ((X5 @ X14 @ X15) | ~(X4 @ X14 @ X15)) | ~ ! [X26 : $i,X12 : $i,X13 : $i] : (~(X5 @ X13 @ X26) | ~(X5 @ X12 @ X13) | (X5 @ X12 @ X26)) | (X5 @ X6 @ X27)) | ~ ! [X5 : ($i > $i > $o)] : (~ ! [X14 : $i,X15 : $i] : (~(X4 @ X14 @ X15) | (X5 @ X14 @ X15)) | ~ ! [X25 : $i,X13 : $i,X12 : $i] : ((X5 @ X12 @ X25) | ~(X5 @ X12 @ X13) | ~(X5 @ X13 @ X25)) | (X5 @ X7 @ X27))) & ~ ! [X5 : ($i > $i > $o)] : (~ ! [X14 : $i,X15 : $i] : (~(X4 @ X14 @ X15) | (X5 @ X14 @ X15)) | ~ ! [X25 : $i,X13 : $i,X12 : $i] : (~(X5 @ X12 @ X13) | (X5 @ X12 @ X25) | ~(X5 @ X13 @ X25)) | (X5 @ X7 @ X6)) & ~ ! [X5 : ($i > $i > $o)] : ((X5 @ X6 @ X7) | ~ ! [X15 : $i,X14 : $i] : ((X5 @ X14 @ X15) | ~(X4 @ X14 @ X15)) | ~ ! [X12 : $i,X13 : $i,X26 : $i] : ((X5 @ X12 @ X26) | ~(X5 @ X13 @ X26) | ~(X5 @ X12 @ X13))) & (X6 != X7)))) = join) & ((^[X4 : ($i > $i > $o)] : (! [X7 : $i,X6 : $i] : ((X6 = X7) | (X4 @ X7 @ X6) | (X4 @ X6 @ X7)))) = total) & ((^[X8 : (($i > $i > $o) > $i > $i > $o)] : (! [X10 : $i,X4 : ($i > $i > $o),X5 : ($i > $i > $o),X9 : $i] : (~(X8 @ X4 @ X9 @ X10) | (X8 @ X5 @ X9 @ X10) | ~ ! [X7 : $i,X6 : $i] : (~(X4 @ X6 @ X7) | (X5 @ X6 @ X7))))) = mono) & ((^[X4 : ($i > $i > $o), X6 : $i] : (! [X7 : $i] : ~(X4 @ X6 @ X7))) = innf) & ((^[X4 : ($i > $i > $o)] : (! [X37 : ($i > $i > $o),X7 : $i,X6 : $i,X36 : ($i > $i > $o)] : (~ ! [X14 : $i,X15 : $i] : ((X37 @ X14 @ X15) | ~(X4 @ X14 @ X15)) | ~ ! [X13 : $i,X25 : $i,X12 : $i] : (~(X36 @ X12 @ X13) | (X36 @ X12 @ X25) | ~(X36 @ X13 @ X25)) | ~ ! [X27 : $i] : (~ ! [X5 : ($i > $i > $o)] : ((X5 @ X6 @ X27) | ~ ! [X12 : $i,X26 : $i,X13 : $i] : (~(X5 @ X13 @ X26) | (X5 @ X12 @ X26) | ~(X5 @ X12 @ X13)) | ~ ! [X14 : $i,X15 : $i] : (~(X4 @ X14 @ X15) | (X5 @ X14 @ X15))) | ~ ! [X5 : ($i > $i > $o)] : ((X5 @ X7 @ X27) | ~ ! [X13 : $i,X25 : $i,X12 : $i] : (~(X5 @ X13 @ X25) | ~(X5 @ X12 @ X13) | (X5 @ X12 @ X25)) | ~ ! [X14 : $i,X15 : $i] : ((X5 @ X14 @ X15) | ~(X4 @ X14 @ X15)))) | (~ ! [X5 : ($i > $i > $o)] : (~ ! [X15 : $i,X14 : $i] : ((X5 @ X14 @ X15) | ~(X4 @ X14 @ X15)) | ~ ! [X11 : $i,X12 : $i,X13 : $i] : ((X5 @ X12 @ X11) | ~(X5 @ X12 @ X13) | ~(X5 @ X13 @ X11)) | (X5 @ X6 @ X7)) & (X6 != X7) & ~ ! [X5 : ($i > $i > $o)] : (~ ! [X13 : $i,X11 : $i,X12 : $i] : ((X5 @ X12 @ X11) | ~(X5 @ X12 @ X13) | ~(X5 @ X13 @ X11)) | ~ ! [X14 : $i,X15 : $i] : ((X5 @ X14 @ X15) | ~(X4 @ X14 @ X15)) | (X5 @ X7 @ X6))) | ~ ! [X13 : $i,X12 : $i,X26 : $i] : (~(X37 @ X12 @ X13) | ~(X37 @ X13 @ X26) | (X37 @ X12 @ X26)) | ~ ! [X15 : $i,X14 : $i] : (~(X4 @ X14 @ X15) | (X36 @ X14 @ X15)) | (X6 = X7) | (X36 @ X7 @ X6) | (X37 @ X6 @ X7)))) = cr) & (sc = (^[X4 : ($i > $i > $o), X6 : $i, X7 : $i] : ((X4 @ X7 @ X6) | (X4 @ X6 @ X7)))) & ((^[X8 : (($i > $i > $o) > $i > $i > $o)] : (! [X7 : $i,X4 : ($i > $i > $o),X6 : $i] : (~(X4 @ X6 @ X7) | (X8 @ X4 @ X6 @ X7)))) = infl) & ((^[X8 : (($i > $i > $o) > $i > $i > $o)] : (! [X4 : ($i > $i > $o)] : (((X8 @ X4)) = ((X8 @ (X8 @ X4)))))) = idem) & ((^[X4 : ($i > $i > $o)] : (! [X6 : $i] : ~(X4 @ X6 @ X6))) = irrefl) & (symm = (^[X4 : ($i > $i > $o)] : (! [X6 : $i,X7 : $i] : (~(X4 @ X6 @ X7) | (X4 @ X7 @ X6))))) & ((^[X4 : ($i > $i > $o)] : (! [X6 : $i] : (X4 @ X6 @ X6))) = refl) & ((^[X4 : ($i > $i > $o)] : (! [X7 : $i,X6 : $i] : (~(X4 @ X7 @ X6) | (X6 = X7) | ~(X4 @ X6 @ X7)) & ! [X6 : $i] : (X4 @ X6 @ X6) & ! [X11 : $i,X7 : $i,X6 : $i] : (~(X4 @ X6 @ X7) | (X4 @ X6 @ X11) | ~(X4 @ X7 @ X11)))) = po) & (subrel = (^[X4 : ($i > $i > $o), X5 : ($i > $i > $o)] : (! [X6 : $i,X7 : $i] : ((X5 @ X6 @ X7) | ~(X4 @ X6 @ X7))))) & ((^[X4 : ($i > $i > $o)] : (! [X6 : $i,X7 : $i] : (~(X4 @ X6 @ X7) | ~(X4 @ X7 @ X6)) & ! [X7 : $i,X11 : $i,X6 : $i] : (~(X4 @ X6 @ X7) | (X4 @ X6 @ X11) | ~(X4 @ X7 @ X11)))) = so) & ((^[X4 : ($i > $i > $o)] : (! [X6 : $i,X33 : ($i > $i > $o),X11 : $i,X34 : ($i > $i > $o),X7 : $i] : (~ ! [X13 : $i,X12 : $i,X26 : $i] : (~(X34 @ X12 @ X13) | ~(X34 @ X13 @ X26) | (X34 @ X12 @ X26)) | (X34 @ X11 @ X7) | ~ ! [X15 : $i,X14 : $i] : (~(X4 @ X14 @ X15) | (X33 @ X14 @ X15)) | (X33 @ X7 @ X11) | ~ ! [X27 : $i] : (~ ! [X5 : ($i > $i > $o)] : ((X5 @ X11 @ X27) | ~ ! [X14 : $i,X15 : $i] : ((X5 @ X14 @ X15) | ~(X4 @ X14 @ X15)) | ~ ! [X13 : $i,X12 : $i,X26 : $i] : (~(X5 @ X13 @ X26) | ~(X5 @ X12 @ X13) | (X5 @ X12 @ X26))) | ~ ! [X5 : ($i > $i > $o)] : (~ ! [X15 : $i,X14 : $i] : (~(X4 @ X14 @ X15) | (X5 @ X14 @ X15)) | (X5 @ X7 @ X27) | ~ ! [X12 : $i,X25 : $i,X13 : $i] : ((X5 @ X12 @ X25) | ~(X5 @ X13 @ X25) | ~(X5 @ X12 @ X13)))) | (~ ! [X5 : ($i > $i > $o)] : (~ ! [X26 : $i,X13 : $i,X12 : $i] : (~(X5 @ X13 @ X26) | (X5 @ X12 @ X26) | ~(X5 @ X12 @ X13)) | ~ ! [X14 : $i,X15 : $i] : (~(X4 @ X14 @ X15) | (X5 @ X14 @ X15)) | (X5 @ X6 @ X11)) & (X6 != X11)) | (~ ! [X5 : ($i > $i > $o)] : (~ ! [X12 : $i,X13 : $i,X35 : $i] : (~(X5 @ X13 @ X35) | ~(X5 @ X12 @ X13) | (X5 @ X12 @ X35)) | ~ ! [X15 : $i,X14 : $i] : ((X5 @ X14 @ X15) | ~(X4 @ X14 @ X15)) | (X5 @ X6 @ X7)) & (X6 != X7)) | ~ ! [X13 : $i,X25 : $i,X12 : $i] : ((X33 @ X12 @ X25) | ~(X33 @ X13 @ X25) | ~(X33 @ X12 @ X13)) | ~ ! [X14 : $i,X15 : $i] : (~(X4 @ X14 @ X15) | (X34 @ X14 @ X15)) | (X7 = X11)))) = confl) & (lconfl = (^[X4 : ($i > $i > $o)] : (! [X11 : $i,X29 : ($i > $i > $o),X28 : ($i > $i > $o),X6 : $i,X7 : $i] : (~(X4 @ X6 @ X7) | ~ ! [X26 : $i,X12 : $i,X13 : $i] : ((X29 @ X12 @ X26) | ~(X29 @ X13 @ X26) | ~(X29 @ X12 @ X13)) | ~ ! [X15 : $i,X14 : $i] : ((X29 @ X14 @ X15) | ~(X4 @ X14 @ X15)) | (X7 = X11) | ~ ! [X27 : $i] : (~ ! [X5 : ($i > $i > $o)] : (~ ! [X14 : $i,X15 : $i] : ((X5 @ X14 @ X15) | ~(X4 @ X14 @ X15)) | (X5 @ X7 @ X27) | ~ ! [X13 : $i,X25 : $i,X12 : $i] : (~(X5 @ X12 @ X13) | ~(X5 @ X13 @ X25) | (X5 @ X12 @ X25))) | ~ ! [X5 : ($i > $i > $o)] : (~ ! [X14 : $i,X15 : $i] : ((X5 @ X14 @ X15) | ~(X4 @ X14 @ X15)) | (X5 @ X11 @ X27) | ~ ! [X13 : $i,X12 : $i,X26 : $i] : (~(X5 @ X13 @ X26) | (X5 @ X12 @ X26) | ~(X5 @ X12 @ X13)))) | (X28 @ X7 @ X11) | (X29 @ X11 @ X7) | ~(X4 @ X6 @ X11) | ~ ! [X25 : $i,X13 : $i,X12 : $i] : (~(X28 @ X12 @ X13) | (X28 @ X12 @ X25) | ~(X28 @ X13 @ X25)) | ~ ! [X14 : $i,X15 : $i] : ((X28 @ X14 @ X15) | ~(X4 @ X14 @ X15)))))) & ! [X0 : $i] : ? [X1 : d_unsorted] : (X0 = ((d2unsorted @ X1))) & ((^[X4 : ($i > $i > $o)] : (! [X11 : $i,X7 : $i,X6 : $i] : (~(X4 @ X6 @ X7) | (X4 @ X6 @ X11) | ~(X4 @ X7 @ X11)))) = trans) & ((^[X4 : ($i > $i > $o), X16 : $i, X17 : $i] : ((X16 = X17) | ! [X5 : ($i > $i > $o)] : (~ ! [X15 : $i,X14 : $i] : (~(X4 @ X14 @ X15) | (X5 @ X14 @ X15)) | ~ ! [X12 : $i,X11 : $i,X13 : $i] : (~(X5 @ X12 @ X13) | ~(X5 @ X13 @ X11) | (X5 @ X12 @ X11)) | (X5 @ X16 @ X17)))) = trc) & ! [X3 : d_unsorted,X2 : d_unsorted] : ((((d2unsorted @ X2)) = ((d2unsorted @ X3))) => (X2 = X3)) & (trsc = (^[X4 : ($i > $i > $o), X16 : $i, X17 : $i] : ((X16 = X17) | ! [X5 : ($i > $i > $o)] : (~ ! [X11 : $i,X12 : $i,X13 : $i] : (~(X5 @ X12 @ X13) | ~(X5 @ X13 @ X11) | (X5 @ X12 @ X11)) | (X5 @ X16 @ X17) | ~ ! [X14 : $i,X15 : $i] : (~(X4 @ X14 @ X15) | (X5 @ X14 @ X15))) | ! [X5 : ($i > $i > $o)] : ((X5 @ X17 @ X16) | ~ ! [X12 : $i,X11 : $i,X13 : $i] : ((X5 @ X12 @ X11) | ~(X5 @ X13 @ X11) | ~(X5 @ X12 @ X13)) | ~ ! [X14 : $i,X15 : $i] : ((X5 @ X14 @ X15) | ~(X4 @ X14 @ X15)))))) & (inv = (^[X4 : ($i > $i > $o), X6 : $i, X7 : $i] : ((X4 @ X7 @ X6)))) & ((^[X4 : ($i > $i > $o), X6 : $i, X7 : $i] : (! [X22 : $i] : ~(X4 @ X6 @ X22) & (! [X5 : ($i > $i > $o)] : (~ ! [X14 : $i,X15 : $i] : ((X5 @ X14 @ X15) | ~(X4 @ X14 @ X15)) | ~ ! [X11 : $i,X13 : $i,X12 : $i] : ((X5 @ X12 @ X11) | ~(X5 @ X12 @ X13) | ~(X5 @ X13 @ X11)) | (X5 @ X7 @ X6)) | (X6 = X7)))) = nfof) & (asymm = (^[X4 : ($i > $i > $o)] : (! [X6 : $i,X7 : $i] : (~(X4 @ X6 @ X7) | ~(X4 @ X7 @ X6))))) & (term = (^[X4 : ($i > $i > $o)] : (! [X18 : ($i > $o),X19 : $i] : (~ ! [X6 : $i] : (~ ! [X7 : $i] : (~(X4 @ X6 @ X7) | ~(X18 @ X7)) | ~(X18 @ X6)) | ~(X18 @ X19)))))),
% 2.99/0.84    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sev441_1)).
% 2.99/0.84  thf(f2,conjecture,(
% 2.99/0.84    (lconfl = (^[X0 : ($i > $i > $o)] : (! [X2 : $i,X1 : $i,X3 : $i] : (((X0 @ X1 @ X2) & (X0 @ X1 @ X3)) => (join @ X0 @ X3 @ X2)))))),
% 2.99/0.84    file('/export/starexec/sandbox/benchmark/theBenchmark.p',locally_confluent)).
% 2.99/0.84  thf(f3,negated_conjecture,(
% 2.99/0.84    ~ (lconfl = (^[X0 : ($i > $i > $o)] : (! [X2 : $i,X1 : $i,X3 : $i] : (((X0 @ X1 @ X2) & (X0 @ X1 @ X3)) => (join @ X0 @ X3 @ X2)))))),
% 2.99/0.84    inference(negated_conjecture,[status(cth)],[f2])).
% 2.99/0.84  thf(f4,plain,(
% 2.99/0.84    ((^[X0 : ($i > $i > $o)] : (! [X1 : ($i > $o),X2 : $i] : ((X1 @ X2) | ~ ! [X3 : $i] : ((X1 @ X3) | ~ ! [X4 : $i] : ((X1 @ X4) | ~ ! [X5 : ($i > $i > $o)] : (~ ! [X6 : $i,X7 : $i,X8 : $i] : (~(X5 @ X7 @ X8) | ~(X5 @ X8 @ X6) | (X5 @ X7 @ X6)) | (X5 @ X3 @ X4) | ~ ! [X9 : $i,X10 : $i] : (~(X0 @ X9 @ X10) | (X5 @ X9 @ X10)))))))) = ind) & (sconfl = (^[X11 : ($i > $i > $o)] : (! [X12 : ($i > $i > $o),X13 : ($i > $i > $o),X14 : $i,X15 : $i,X16 : $i] : ((X15 = X16) | (~ ! [X17 : ($i > $i > $o)] : (~ ! [X18 : $i,X19 : $i] : ((X17 @ X18 @ X19) | ~(X11 @ X18 @ X19)) | ~ ! [X20 : $i,X21 : $i,X22 : $i] : ((X17 @ X20 @ X22) | ~(X17 @ X20 @ X21) | ~(X17 @ X21 @ X22)) | (X17 @ X14 @ X16)) & (X14 != X16)) | (X12 @ X16 @ X15) | ~ ! [X23 : $i] : (~ ! [X24 : ($i > $i > $o)] : (~ ! [X25 : $i,X26 : $i] : ((X24 @ X25 @ X26) | ~(X11 @ X25 @ X26)) | ~ ! [X27 : $i,X28 : $i,X29 : $i] : ((X24 @ X28 @ X29) | ~(X24 @ X27 @ X29) | ~(X24 @ X28 @ X27)) | (X24 @ X16 @ X23)) | ~ ! [X30 : ($i > $i > $o)] : (~ ! [X31 : $i,X32 : $i,X33 : $i] : ((X30 @ X31 @ X32) | ~(X30 @ X31 @ X33) | ~(X30 @ X33 @ X32)) | ~ ! [X34 : $i,X35 : $i] : (~(X11 @ X34 @ X35) | (X30 @ X34 @ X35)) | (X30 @ X15 @ X23))) | ~ ! [X36 : $i,X37 : $i] : ((X12 @ X37 @ X36) | ~(X11 @ X37 @ X36)) | ~ ! [X38 : $i,X39 : $i,X40 : $i] : (~(X13 @ X39 @ X40) | (X13 @ X39 @ X38) | ~(X13 @ X40 @ X38)) | ~(X11 @ X14 @ X15) | ~ ! [X41 : $i,X42 : $i,X43 : $i] : (~(X12 @ X43 @ X42) | ~(X12 @ X42 @ X41) | (X12 @ X43 @ X41)) | ~ ! [X44 : $i,X45 : $i] : (~(X11 @ X44 @ X45) | (X13 @ X44 @ X45)) | (X13 @ X15 @ X16))))) & ((^[X46 : ($i > $i > $o), X47 : $i, X48 : $i] : (! [X49 : ($i > $i > $o)] : ((X49 @ X47 @ X48) | ~ ! [X50 : $i,X51 : $i,X52 : $i] : (~(X49 @ X52 @ X51) | (X49 @ X50 @ X51) | ~(X49 @ X50 @ X52)) | ~ ! [X53 : $i,X54 : $i] : (~(X46 @ X53 @ X54) | (X49 @ X53 @ X54))))) = tc) & (antisymm = (^[X55 : ($i > $i > $o)] : (! [X56 : $i,X57 : $i] : (~(X55 @ X57 @ X56) | (X56 = X57) | ~(X55 @ X56 @ X57))))) & (rc = (^[X58 : ($i > $i > $o), X59 : $i, X60 : $i] : ((X58 @ X59 @ X60) | (X59 = X60)))) & ((^[X61 : ($i > $i > $o)] : (! [X62 : $i,X63 : $i] : (~ ! [X64 : $i] : (~ ! [X65 : ($i > $i > $o)] : (~ ! [X66 : $i,X67 : $i,X68 : $i] : (~(X65 @ X66 @ X68) | (X65 @ X66 @ X67) | ~(X65 @ X68 @ X67)) | (X65 @ X62 @ X64) | ~ ! [X69 : $i,X70 : $i] : ((X65 @ X69 @ X70) | ~(X61 @ X69 @ X70))) | ~ ! [X71 : $i] : ~(X61 @ X64 @ X71)) | ~(X61 @ X62 @ X63)))) = norm) & ! [X72 : d_unsorted] : (d_unsorted_0 = X72) & ((^[X73 : ($i > $i > $o), X74 : $i, X75 : $i] : (~(! [X76 : $i] : (~ ! [X77 : ($i > $i > $o)] : (~ ! [X78 : $i,X79 : $i] : ((X77 @ X79 @ X78) | ~(X73 @ X79 @ X78)) | ~ ! [X80 : $i,X81 : $i,X82 : $i] : (~(X77 @ X82 @ X80) | ~(X77 @ X81 @ X82) | (X77 @ X81 @ X80)) | (X77 @ X74 @ X76)) | ~ ! [X83 : ($i > $i > $o)] : (~ ! [X84 : $i,X85 : $i] : (~(X73 @ X84 @ X85) | (X83 @ X84 @ X85)) | ~ ! [X86 : $i,X87 : $i,X88 : $i] : ((X83 @ X88 @ X86) | ~(X83 @ X88 @ X87) | ~(X83 @ X87 @ X86)) | (X83 @ X75 @ X76))) & ~ ! [X89 : ($i > $i > $o)] : (~ ! [X90 : $i,X91 : $i] : (~(X73 @ X90 @ X91) | (X89 @ X90 @ X91)) | ~ ! [X92 : $i,X93 : $i,X94 : $i] : (~(X89 @ X94 @ X93) | (X89 @ X94 @ X92) | ~(X89 @ X93 @ X92)) | (X89 @ X75 @ X74)) & ~ ! [X95 : ($i > $i > $o)] : ((X95 @ X74 @ X75) | ~ ! [X96 : $i,X97 : $i] : ((X95 @ X97 @ X96) | ~(X73 @ X97 @ X96)) | ~ ! [X98 : $i,X99 : $i,X100 : $i] : ((X95 @ X98 @ X100) | ~(X95 @ X99 @ X100) | ~(X95 @ X98 @ X99))) & (X74 != X75)))) = join) & ((^[X101 : ($i > $i > $o)] : (! [X102 : $i,X103 : $i] : ((X102 = X103) | (X101 @ X102 @ X103) | (X101 @ X103 @ X102)))) = total) & ((^[X104 : (($i > $i > $o) > $i > $i > $o)] : (! [X105 : $i,X106 : ($i > $i > $o),X107 : ($i > $i > $o),X108 : $i] : (~(X104 @ X106 @ X108 @ X105) | (X104 @ X107 @ X108 @ X105) | ~ ! [X109 : $i,X110 : $i] : (~(X106 @ X110 @ X109) | (X107 @ X110 @ X109))))) = mono) & ((^[X111 : ($i > $i > $o), X112 : $i] : (! [X113 : $i] : ~(X111 @ X112 @ X113))) = innf) & ((^[X114 : ($i > $i > $o)] : (! [X115 : ($i > $i > $o),X116 : $i,X117 : $i,X118 : ($i > $i > $o)] : (~ ! [X119 : $i,X120 : $i] : ((X115 @ X119 @ X120) | ~(X114 @ X119 @ X120)) | ~ ! [X121 : $i,X122 : $i,X123 : $i] : (~(X118 @ X123 @ X121) | (X118 @ X123 @ X122) | ~(X118 @ X121 @ X122)) | ~ ! [X124 : $i] : (~ ! [X125 : ($i > $i > $o)] : ((X125 @ X117 @ X124) | ~ ! [X126 : $i,X127 : $i,X128 : $i] : (~(X125 @ X128 @ X127) | (X125 @ X126 @ X127) | ~(X125 @ X126 @ X128)) | ~ ! [X129 : $i,X130 : $i] : (~(X114 @ X129 @ X130) | (X125 @ X129 @ X130))) | ~ ! [X131 : ($i > $i > $o)] : ((X131 @ X116 @ X124) | ~ ! [X132 : $i,X133 : $i,X134 : $i] : (~(X131 @ X132 @ X133) | ~(X131 @ X134 @ X132) | (X131 @ X134 @ X133)) | ~ ! [X135 : $i,X136 : $i] : ((X131 @ X135 @ X136) | ~(X114 @ X135 @ X136)))) | (~ ! [X137 : ($i > $i > $o)] : (~ ! [X138 : $i,X139 : $i] : ((X137 @ X139 @ X138) | ~(X114 @ X139 @ X138)) | ~ ! [X140 : $i,X141 : $i,X142 : $i] : ((X137 @ X141 @ X140) | ~(X137 @ X141 @ X142) | ~(X137 @ X142 @ X140)) | (X137 @ X117 @ X116)) & (X116 != X117) & ~ ! [X143 : ($i > $i > $o)] : (~ ! [X144 : $i,X145 : $i,X146 : $i] : ((X143 @ X146 @ X145) | ~(X143 @ X146 @ X144) | ~(X143 @ X144 @ X145)) | ~ ! [X147 : $i,X148 : $i] : ((X143 @ X147 @ X148) | ~(X114 @ X147 @ X148)) | (X143 @ X116 @ X117))) | ~ ! [X149 : $i,X150 : $i,X151 : $i] : (~(X115 @ X150 @ X149) | ~(X115 @ X149 @ X151) | (X115 @ X150 @ X151)) | ~ ! [X152 : $i,X153 : $i] : (~(X114 @ X153 @ X152) | (X118 @ X153 @ X152)) | (X116 = X117) | (X118 @ X116 @ X117) | (X115 @ X117 @ X116)))) = cr) & (sc = (^[X154 : ($i > $i > $o), X155 : $i, X156 : $i] : ((X154 @ X156 @ X155) | (X154 @ X155 @ X156)))) & ((^[X157 : (($i > $i > $o) > $i > $i > $o)] : (! [X158 : $i,X159 : ($i > $i > $o),X160 : $i] : (~(X159 @ X160 @ X158) | (X157 @ X159 @ X160 @ X158)))) = infl) & ((^[X161 : (($i > $i > $o) > $i > $i > $o)] : (! [X162 : ($i > $i > $o)] : (((X161 @ X162)) = ((X161 @ (X161 @ X162)))))) = idem) & ((^[X163 : ($i > $i > $o)] : (! [X164 : $i] : ~(X163 @ X164 @ X164))) = irrefl) & (symm = (^[X165 : ($i > $i > $o)] : (! [X166 : $i,X167 : $i] : (~(X165 @ X166 @ X167) | (X165 @ X167 @ X166))))) & ((^[X168 : ($i > $i > $o)] : (! [X169 : $i] : (X168 @ X169 @ X169))) = refl) & ((^[X170 : ($i > $i > $o)] : (! [X171 : $i,X172 : $i] : (~(X170 @ X171 @ X172) | (X171 = X172) | ~(X170 @ X172 @ X171)) & ! [X173 : $i] : (X170 @ X173 @ X173) & ! [X174 : $i,X175 : $i,X176 : $i] : (~(X170 @ X176 @ X175) | (X170 @ X176 @ X174) | ~(X170 @ X175 @ X174)))) = po) & (subrel = (^[X177 : ($i > $i > $o), X178 : ($i > $i > $o)] : (! [X179 : $i,X180 : $i] : ((X178 @ X179 @ X180) | ~(X177 @ X179 @ X180))))) & ((^[X181 : ($i > $i > $o)] : (! [X182 : $i,X183 : $i] : (~(X181 @ X182 @ X183) | ~(X181 @ X183 @ X182)) & ! [X184 : $i,X185 : $i,X186 : $i] : (~(X181 @ X186 @ X184) | (X181 @ X186 @ X185) | ~(X181 @ X184 @ X185)))) = so) & ((^[X187 : ($i > $i > $o)] : (! [X188 : $i,X189 : ($i > $i > $o),X190 : $i,X191 : ($i > $i > $o),X192 : $i] : (~ ! [X193 : $i,X194 : $i,X195 : $i] : (~(X191 @ X194 @ X193) | ~(X191 @ X193 @ X195) | (X191 @ X194 @ X195)) | (X191 @ X190 @ X192) | ~ ! [X196 : $i,X197 : $i] : (~(X187 @ X197 @ X196) | (X189 @ X197 @ X196)) | (X189 @ X192 @ X190) | ~ ! [X198 : $i] : (~ ! [X199 : ($i > $i > $o)] : ((X199 @ X190 @ X198) | ~ ! [X200 : $i,X201 : $i] : ((X199 @ X200 @ X201) | ~(X187 @ X200 @ X201)) | ~ ! [X202 : $i,X203 : $i,X204 : $i] : (~(X199 @ X202 @ X204) | ~(X199 @ X203 @ X202) | (X199 @ X203 @ X204))) | ~ ! [X205 : ($i > $i > $o)] : (~ ! [X206 : $i,X207 : $i] : (~(X187 @ X207 @ X206) | (X205 @ X207 @ X206)) | (X205 @ X192 @ X198) | ~ ! [X208 : $i,X209 : $i,X210 : $i] : ((X205 @ X208 @ X209) | ~(X205 @ X210 @ X209) | ~(X205 @ X208 @ X210)))) | (~ ! [X211 : ($i > $i > $o)] : (~ ! [X212 : $i,X213 : $i,X214 : $i] : (~(X211 @ X213 @ X212) | (X211 @ X214 @ X212) | ~(X211 @ X214 @ X213)) | ~ ! [X215 : $i,X216 : $i] : (~(X187 @ X215 @ X216) | (X211 @ X215 @ X216)) | (X211 @ X188 @ X190)) & (X188 != X190)) | (~ ! [X217 : ($i > $i > $o)] : (~ ! [X218 : $i,X219 : $i,X220 : $i] : (~(X217 @ X219 @ X220) | ~(X217 @ X218 @ X219) | (X217 @ X218 @ X220)) | ~ ! [X221 : $i,X222 : $i] : ((X217 @ X222 @ X221) | ~(X187 @ X222 @ X221)) | (X217 @ X188 @ X192)) & (X188 != X192)) | ~ ! [X223 : $i,X224 : $i,X225 : $i] : ((X189 @ X225 @ X224) | ~(X189 @ X223 @ X224) | ~(X189 @ X225 @ X223)) | ~ ! [X226 : $i,X227 : $i] : (~(X187 @ X226 @ X227) | (X191 @ X226 @ X227)) | (X190 = X192)))) = confl) & (lconfl = (^[X228 : ($i > $i > $o)] : (! [X229 : $i,X230 : ($i > $i > $o),X231 : ($i > $i > $o),X232 : $i,X233 : $i] : (~(X228 @ X232 @ X233) | ~ ! [X234 : $i,X235 : $i,X236 : $i] : ((X230 @ X235 @ X234) | ~(X230 @ X236 @ X234) | ~(X230 @ X235 @ X236)) | ~ ! [X237 : $i,X238 : $i] : ((X230 @ X238 @ X237) | ~(X228 @ X238 @ X237)) | (X229 = X233) | ~ ! [X239 : $i] : (~ ! [X240 : ($i > $i > $o)] : (~ ! [X241 : $i,X242 : $i] : ((X240 @ X241 @ X242) | ~(X228 @ X241 @ X242)) | (X240 @ X233 @ X239) | ~ ! [X243 : $i,X244 : $i,X245 : $i] : (~(X240 @ X245 @ X243) | ~(X240 @ X243 @ X244) | (X240 @ X245 @ X244))) | ~ ! [X246 : ($i > $i > $o)] : (~ ! [X247 : $i,X248 : $i] : ((X246 @ X247 @ X248) | ~(X228 @ X247 @ X248)) | (X246 @ X229 @ X239) | ~ ! [X249 : $i,X250 : $i,X251 : $i] : (~(X246 @ X249 @ X251) | (X246 @ X250 @ X251) | ~(X246 @ X250 @ X249)))) | (X231 @ X233 @ X229) | (X230 @ X229 @ X233) | ~(X228 @ X232 @ X229) | ~ ! [X252 : $i,X253 : $i,X254 : $i] : (~(X231 @ X254 @ X253) | (X231 @ X254 @ X252) | ~(X231 @ X253 @ X252)) | ~ ! [X255 : $i,X256 : $i] : ((X231 @ X255 @ X256) | ~(X228 @ X255 @ X256)))))) & ! [X257 : $i] : ? [X258 : d_unsorted] : (((d2unsorted @ X258)) = X257) & ((^[X259 : ($i > $i > $o)] : (! [X260 : $i,X261 : $i,X262 : $i] : (~(X259 @ X262 @ X261) | (X259 @ X262 @ X260) | ~(X259 @ X261 @ X260)))) = trans) & ((^[X263 : ($i > $i > $o), X264 : $i, X265 : $i] : ((X264 = X265) | ! [X266 : ($i > $i > $o)] : (~ ! [X267 : $i,X268 : $i] : (~(X263 @ X268 @ X267) | (X266 @ X268 @ X267)) | ~ ! [X269 : $i,X270 : $i,X271 : $i] : (~(X266 @ X269 @ X271) | ~(X266 @ X271 @ X270) | (X266 @ X269 @ X270)) | (X266 @ X264 @ X265)))) = trc) & ! [X272 : d_unsorted,X273 : d_unsorted] : ((((d2unsorted @ X272)) = ((d2unsorted @ X273))) => (X272 = X273)) & (trsc = (^[X274 : ($i > $i > $o), X275 : $i, X276 : $i] : ((X275 = X276) | ! [X277 : ($i > $i > $o)] : (~ ! [X278 : $i,X279 : $i,X280 : $i] : (~(X277 @ X279 @ X280) | ~(X277 @ X280 @ X278) | (X277 @ X279 @ X278)) | (X277 @ X275 @ X276) | ~ ! [X281 : $i,X282 : $i] : (~(X274 @ X281 @ X282) | (X277 @ X281 @ X282))) | ! [X283 : ($i > $i > $o)] : ((X283 @ X276 @ X275) | ~ ! [X284 : $i,X285 : $i,X286 : $i] : ((X283 @ X284 @ X285) | ~(X283 @ X286 @ X285) | ~(X283 @ X284 @ X286)) | ~ ! [X287 : $i,X288 : $i] : ((X283 @ X287 @ X288) | ~(X274 @ X287 @ X288)))))) & (inv = (^[X289 : ($i > $i > $o), X290 : $i, X291 : $i] : ((X289 @ X291 @ X290)))) & ((^[X292 : ($i > $i > $o), X293 : $i, X294 : $i] : (! [X295 : $i] : ~(X292 @ X293 @ X295) & (! [X296 : ($i > $i > $o)] : (~ ! [X297 : $i,X298 : $i] : ((X296 @ X297 @ X298) | ~(X292 @ X297 @ X298)) | ~ ! [X299 : $i,X300 : $i,X301 : $i] : ((X296 @ X301 @ X299) | ~(X296 @ X301 @ X300) | ~(X296 @ X300 @ X299)) | (X296 @ X294 @ X293)) | (X293 = X294)))) = nfof) & (asymm = (^[X302 : ($i > $i > $o)] : (! [X303 : $i,X304 : $i] : (~(X302 @ X303 @ X304) | ~(X302 @ X304 @ X303))))) & (term = (^[X305 : ($i > $i > $o)] : (! [X306 : ($i > $o),X307 : $i] : (~ ! [X308 : $i] : (~ ! [X309 : $i] : (~(X305 @ X308 @ X309) | ~(X306 @ X309)) | ~(X306 @ X308)) | ~(X306 @ X307)))))),
% 2.99/0.84    inference(rectify,[],[f1])).
% 2.99/0.84  thf(f5,plain,(
% 2.99/0.84    (ind = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6)))))))) | (Y5 @ Y3 @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y7 @ Y8) | (~ (Y5 @ Y6 @ Y8))) | (~ (Y5 @ Y7 @ Y6)))))))))))))) | (Y2 @ Y4))))) | (Y2 @ Y3))))) | (Y2 @ Y1)))))))) & (sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: ((((((((((Y4 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y6 @ Y8) | (~ (Y5 @ Y7 @ Y8))) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (Y0 @ Y3 @ Y2))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y6 @ Y8)) | (Y4 @ Y7 @ Y8)) | (~ (Y4 @ Y7 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y5 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y2 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y8 @ Y9)) | (~ (Y7 @ Y10 @ Y8))) | (Y7 @ Y10 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y1 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y10)) | (~ (Y7 @ Y10 @ Y8))) | (Y7 @ Y9 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 @ Y1 @ Y2)) | ((~ (Y3 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y3 @ Y1) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y8 @ Y7)) | (~ (Y6 @ Y9 @ Y8))) | (Y6 @ Y9 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))))))))) | (Y2 = Y1)))))))))))))) & (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y4 @ Y5))))))))))) | (Y3 @ Y1 @ Y2)))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (Y2 = Y1)) | (~ (Y0 @ Y1 @ Y2))))))))) & (rc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y1 = Y2) | (Y0 @ Y1 @ Y2)))))))) & (norm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5))))))) | (Y4 @ Y2 @ Y3)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y5 @ Y6)) | (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y7 @ Y5))))))))))))))))))))))))) & ! [X72 : d_unsorted] : (d_unsorted_0 = X72) & (join = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((~ (Y1 = Y2)) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y6 @ Y4))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y1 @ Y2)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y6)) | (Y3 @ Y4 @ Y6)) | (~ (Y3 @ Y4 @ Y5))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))))))) & (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y5 @ Y6))) | (Y4 @ Y5 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y6 @ Y7) | (~ (Y4 @ Y6 @ Y5))) | (~ (Y4 @ Y5 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6)))))))))))))))))))))) & (total = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y1 @ Y2) | (Y0 @ Y2 @ Y1)) | (Y2 = Y1)))))))) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y2 @ Y5 @ Y6) | (~ (Y3 @ Y5 @ Y6)))))))) | (Y0 @ Y2 @ Y1 @ Y4)) | (~ (Y0 @ Y3 @ Y1 @ Y4))))))))))))) & (innf = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2)))))))) & (cr = (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((((((((Y4 @ Y2 @ Y3) | (Y1 @ Y3 @ Y2)) | (Y3 = Y2)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y1 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y6 @ Y5) | (~ (Y4 @ Y7 @ Y5))) | (~ (Y4 @ Y6 @ Y7))))))))))) | (((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y3 @ Y2) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y5 @ Y7 @ Y6)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y8 @ Y7)) | (~ (Y5 @ Y6 @ Y8))) | (Y5 @ Y6 @ Y7))))))))))))) & (~ (Y3 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y7 @ Y6))) | (Y5 @ Y7 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y5 @ Y6 @ Y7))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y7 @ Y8) | (~ (Y6 @ Y7 @ Y9))) | (~ (Y6 @ Y9 @ Y8))))))))))) | (Y6 @ Y3 @ Y5))))) | (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (Y0 @ Y8 @ Y7)))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y9 @ Y8)) | (~ (Y6 @ Y7 @ Y8))))))))))) | (Y6 @ Y2 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y1 @ Y7 @ Y6)) | (Y1 @ Y5 @ Y6)) | (~ (Y1 @ Y5 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))))))))))))) & (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y0 @ Y2 @ Y1)))))))) & (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y1 @ Y3) | (~ (Y2 @ Y1 @ Y3))))))))))) & (idem = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ Y1) = (Y0 @ (Y0 @ Y1))))))) & (irrefl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1 @ Y1)))))) & (symm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y2 @ Y1))))))))) & (refl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y2 @ Y3)) | (Y0 @ Y1 @ Y3)) | (~ (Y0 @ Y1 @ Y2))))))))) & (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (Y2 = Y1)) | (~ (Y0 @ Y2 @ Y1)))))))))) & (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2)))))))))) & (so = (^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y1 @ Y3))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & (confl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: ((((((((((Y3 = Y1) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y2 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y6 @ Y8)) | (~ (Y4 @ Y8 @ Y7))) | (Y4 @ Y6 @ Y7)))))))))) | ((~ (Y5 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y5 @ Y1) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y7 @ Y8)) | (Y6 @ Y7 @ Y8)))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y9 @ Y7) | (~ (Y6 @ Y9 @ Y8))) | (~ (Y6 @ Y8 @ Y7)))))))))))))))) | ((~ (Y5 = Y3)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y5 @ Y3) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (Y0 @ Y8 @ Y7))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y7 @ Y8)) | (Y6 @ Y7 @ Y9)) | (~ (Y6 @ Y8 @ Y9)))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y8 @ Y9))) | (Y7 @ Y10 @ Y9))))))))) | (Y7 @ Y1 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y8 @ Y9) | (~ (Y0 @ Y8 @ Y9)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y9 @ Y8) | (~ (Y7 @ Y9 @ Y10))) | (~ (Y7 @ Y10 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))) | (Y7 @ Y3 @ Y6)))))))))) | (Y4 @ Y1 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7))))))))) | (Y2 @ Y3 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y2 @ Y7 @ Y6) | (~ (Y2 @ Y8 @ Y6))) | (~ (Y2 @ Y7 @ Y8))))))))))))))))))))))) & (lconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: ((((((((((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y3 @ Y7 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y3 @ Y7 @ Y8)) | (Y3 @ Y6 @ Y8)) | (~ (Y3 @ Y6 @ Y7))))))))))) | (~ (Y0 @ Y2 @ Y5))) | (Y4 @ Y5 @ Y1)) | (Y3 @ Y1 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y10)) | (Y7 @ Y9 @ Y8)) | (~ (Y7 @ Y10 @ Y8)))))))))) | (Y7 @ Y5 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y9) | (~ (Y7 @ Y10 @ Y9))) | (~ (Y7 @ Y8 @ Y10)))))))))) | (Y7 @ Y1 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y4 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y8))) | (Y4 @ Y7 @ Y8)))))))))) | (~ (Y0 @ Y2 @ Y1))))))))))))))) & ! [X257 : $i] : ? [X258 : d_unsorted] : (((d2unsorted @ X258)) = X257) & (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y2 @ Y3)) | (Y0 @ Y1 @ Y3)) | (~ (Y0 @ Y1 @ Y2))))))))))) & (trc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y6 @ Y5) | (~ (Y3 @ Y4 @ Y5))) | (~ (Y3 @ Y6 @ Y4))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))) | (Y1 = Y2)))))))) & ! [X272 : d_unsorted,X273 : d_unsorted] : ((((d2unsorted @ X272)) = ((d2unsorted @ X273))) => (X272 = X273)) & (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y6 @ Y5)))))))))) | (Y3 @ Y2 @ Y1)))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y5 @ Y6) | (~ (Y3 @ Y4 @ Y6))) | (~ (Y3 @ Y5 @ Y4)))))))))))))) | (Y1 = Y2)))))))) & (inv = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1))))))) & (nfof = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y6)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y4 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4))))))))))) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3))))))))))) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1))))))))) & (term = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y2 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y2 @ Y4)) | (~ (Y0 @ Y3 @ Y4)))))))))))))))))),
% 2.99/0.84    inference(fool_elimination,[],[f4])).
% 2.99/0.84  thf(f6,plain,(
% 2.99/0.84    ~ (lconfl = (^[X0 : ($i > $i > $o)] : (! [X1 : $i,X2 : $i,X3 : $i] : (((X0 @ X2 @ X1) & (X0 @ X2 @ X3)) => (join @ X0 @ X3 @ X1)))))),
% 2.99/0.84    inference(rectify,[],[f3])).
% 2.99/0.84  thf(f7,plain,(
% 2.99/0.84    ~ (lconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y2 @ Y3)) => (join @ Y0 @ Y1 @ Y3))))))))))),
% 2.99/0.84    inference(fool_elimination,[],[f6])).
% 2.99/0.84  thf(f8,plain,(
% 2.99/0.84    (lconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: ((((((((((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y3 @ Y7 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y3 @ Y7 @ Y8)) | (Y3 @ Y6 @ Y8)) | (~ (Y3 @ Y6 @ Y7))))))))))) | (~ (Y0 @ Y2 @ Y5))) | (Y4 @ Y5 @ Y1)) | (Y3 @ Y1 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y10)) | (Y7 @ Y9 @ Y8)) | (~ (Y7 @ Y10 @ Y8)))))))))) | (Y7 @ Y5 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y9) | (~ (Y7 @ Y10 @ Y9))) | (~ (Y7 @ Y8 @ Y10)))))))))) | (Y7 @ Y1 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y4 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y8))) | (Y4 @ Y7 @ Y8)))))))))) | (~ (Y0 @ Y2 @ Y1))))))))))))))) & (confl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: ((((((((((Y3 = Y1) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y2 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y6 @ Y8)) | (~ (Y4 @ Y8 @ Y7))) | (Y4 @ Y6 @ Y7)))))))))) | ((~ (Y5 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y5 @ Y1) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y7 @ Y8)) | (Y6 @ Y7 @ Y8)))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y9 @ Y7) | (~ (Y6 @ Y9 @ Y8))) | (~ (Y6 @ Y8 @ Y7)))))))))))))))) | ((~ (Y5 = Y3)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y5 @ Y3) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (Y0 @ Y8 @ Y7))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y7 @ Y8)) | (Y6 @ Y7 @ Y9)) | (~ (Y6 @ Y8 @ Y9)))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y8 @ Y9))) | (Y7 @ Y10 @ Y9))))))))) | (Y7 @ Y1 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y8 @ Y9) | (~ (Y0 @ Y8 @ Y9)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y9 @ Y8) | (~ (Y7 @ Y9 @ Y10))) | (~ (Y7 @ Y10 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))) | (Y7 @ Y3 @ Y6)))))))))) | (Y4 @ Y1 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7))))))))) | (Y2 @ Y3 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y2 @ Y7 @ Y6) | (~ (Y2 @ Y8 @ Y6))) | (~ (Y2 @ Y7 @ Y8))))))))))))))))))))))) & (innf = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2)))))))) & (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y6 @ Y5)))))))))) | (Y3 @ Y2 @ Y1)))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y5 @ Y6) | (~ (Y3 @ Y4 @ Y6))) | (~ (Y3 @ Y5 @ Y4)))))))))))))) | (Y1 = Y2)))))))) & (term = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y2 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y2 @ Y4)) | (~ (Y0 @ Y3 @ Y4))))))))))))))))) & (so = (^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y1 @ Y3))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & (total = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y1 @ Y2) | (Y0 @ Y2 @ Y1)) | (Y2 = Y1)))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (Y2 = Y1)) | (~ (Y0 @ Y1 @ Y2))))))))) & ! [X0 : d_unsorted] : (d_unsorted_0 = X0) & ! [X3 : d_unsorted,X4 : d_unsorted] : ((((d2unsorted @ X3)) = ((d2unsorted @ X4))) => (X3 = X4)) & (irrefl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1 @ Y1)))))) & (refl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))) & (join = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((~ (Y1 = Y2)) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y6 @ Y4))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y1 @ Y2)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y6)) | (Y3 @ Y4 @ Y6)) | (~ (Y3 @ Y4 @ Y5))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))))))) & (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y5 @ Y6))) | (Y4 @ Y5 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y6 @ Y7) | (~ (Y4 @ Y6 @ Y5))) | (~ (Y4 @ Y5 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6)))))))))))))))))))))) & (nfof = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y6)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y4 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4))))))))))) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3))))))))))) & (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2)))))))))) & (rc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y1 = Y2) | (Y0 @ Y1 @ Y2)))))))) & (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y0 @ Y2 @ Y1)))))))) & (trc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y6 @ Y5) | (~ (Y3 @ Y4 @ Y5))) | (~ (Y3 @ Y6 @ Y4))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))) | (Y1 = Y2)))))))) & (norm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5))))))) | (Y4 @ Y2 @ Y3)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y5 @ Y6)) | (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y7 @ Y5))))))))))))))))))))))))) & (cr = (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((((((((Y4 @ Y2 @ Y3) | (Y1 @ Y3 @ Y2)) | (Y3 = Y2)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y1 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y6 @ Y5) | (~ (Y4 @ Y7 @ Y5))) | (~ (Y4 @ Y6 @ Y7))))))))))) | (((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y3 @ Y2) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y5 @ Y7 @ Y6)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y8 @ Y7)) | (~ (Y5 @ Y6 @ Y8))) | (Y5 @ Y6 @ Y7))))))))))))) & (~ (Y3 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y7 @ Y6))) | (Y5 @ Y7 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y5 @ Y6 @ Y7))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y7 @ Y8) | (~ (Y6 @ Y7 @ Y9))) | (~ (Y6 @ Y9 @ Y8))))))))))) | (Y6 @ Y3 @ Y5))))) | (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (Y0 @ Y8 @ Y7)))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y9 @ Y8)) | (~ (Y6 @ Y7 @ Y8))))))))))) | (Y6 @ Y2 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y1 @ Y7 @ Y6)) | (Y1 @ Y5 @ Y6)) | (~ (Y1 @ Y5 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))))))))))))) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y2 @ Y3)) | (Y0 @ Y1 @ Y3)) | (~ (Y0 @ Y1 @ Y2))))))))) & (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (Y2 = Y1)) | (~ (Y0 @ Y2 @ Y1)))))))))) & (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y4 @ Y5))))))))))) | (Y3 @ Y1 @ Y2)))))))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6)))))))) | (Y5 @ Y3 @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y7 @ Y8) | (~ (Y5 @ Y6 @ Y8))) | (~ (Y5 @ Y7 @ Y6)))))))))))))) | (Y2 @ Y4))))) | (Y2 @ Y3))))) | (Y2 @ Y1)))))))) & (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y1 @ Y3) | (~ (Y2 @ Y1 @ Y3))))))))))) & ! [X1 : $i] : ? [X2 : d_unsorted] : (((d2unsorted @ X2)) = X1) & (idem = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ Y1) = (Y0 @ (Y0 @ Y1))))))) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1))))))))) & (symm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y2 @ Y1))))))))) & (sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: ((((((((((Y4 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y6 @ Y8) | (~ (Y5 @ Y7 @ Y8))) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (Y0 @ Y3 @ Y2))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y6 @ Y8)) | (Y4 @ Y7 @ Y8)) | (~ (Y4 @ Y7 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y5 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y2 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y8 @ Y9)) | (~ (Y7 @ Y10 @ Y8))) | (Y7 @ Y10 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y1 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y10)) | (~ (Y7 @ Y10 @ Y8))) | (Y7 @ Y9 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 @ Y1 @ Y2)) | ((~ (Y3 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y3 @ Y1) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y8 @ Y7)) | (~ (Y6 @ Y9 @ Y8))) | (Y6 @ Y9 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))))))))) | (Y2 = Y1)))))))))))))) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y2 @ Y5 @ Y6) | (~ (Y3 @ Y5 @ Y6)))))))) | (Y0 @ Y2 @ Y1 @ Y4)) | (~ (Y0 @ Y3 @ Y1 @ Y4))))))))))))) & (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y2 @ Y3)) | (Y0 @ Y1 @ Y3)) | (~ (Y0 @ Y1 @ Y2))))))))))) & (inv = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 2.99/0.84    inference(rectify,[],[f5])).
% 2.99/0.84  thf(f9,plain,(
% 2.99/0.84    (lconfl != (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y2 @ Y3)) => (join @ Y0 @ Y1 @ Y3))))))))))),
% 2.99/0.84    inference(flattening,[],[f7])).
% 2.99/0.84  thf(f10,plain,(
% 2.99/0.84    (norm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5))))))) | (Y4 @ Y2 @ Y3)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y5 @ Y6)) | (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y7 @ Y5))))))))))))))))))))))))) & (nfof = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y6)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y4 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4))))))))))) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3))))))))))) & (irrefl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1 @ Y1)))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6)))))))) | (Y5 @ Y3 @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y7 @ Y8) | (~ (Y5 @ Y6 @ Y8))) | (~ (Y5 @ Y7 @ Y6)))))))))))))) | (Y2 @ Y4))))) | (Y2 @ Y3))))) | (Y2 @ Y1)))))))) & (lconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: ((((((((((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y3 @ Y7 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y3 @ Y7 @ Y8)) | (Y3 @ Y6 @ Y8)) | (~ (Y3 @ Y6 @ Y7))))))))))) | (~ (Y0 @ Y2 @ Y5))) | (Y4 @ Y5 @ Y1)) | (Y3 @ Y1 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y10)) | (Y7 @ Y9 @ Y8)) | (~ (Y7 @ Y10 @ Y8)))))))))) | (Y7 @ Y5 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y9) | (~ (Y7 @ Y10 @ Y9))) | (~ (Y7 @ Y8 @ Y10)))))))))) | (Y7 @ Y1 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y4 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y8))) | (Y4 @ Y7 @ Y8)))))))))) | (~ (Y0 @ Y2 @ Y1))))))))))))))) & (join = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((~ (Y1 = Y2)) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y6 @ Y4))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y1 @ Y2)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y6)) | (Y3 @ Y4 @ Y6)) | (~ (Y3 @ Y4 @ Y5))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))))))) & (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y5 @ Y6))) | (Y4 @ Y5 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y6 @ Y7) | (~ (Y4 @ Y6 @ Y5))) | (~ (Y4 @ Y5 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6)))))))))))))))))))))) & (rc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y1 = Y2) | (Y0 @ Y1 @ Y2)))))))) & (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y6 @ Y5)))))))))) | (Y3 @ Y2 @ Y1)))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y5 @ Y6) | (~ (Y3 @ Y4 @ Y6))) | (~ (Y3 @ Y5 @ Y4)))))))))))))) | (Y1 = Y2)))))))) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1))))))))) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y2 @ Y3)) | (Y0 @ Y1 @ Y3)) | (~ (Y0 @ Y1 @ Y2))))))))) & (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (Y2 = Y1)) | (~ (Y0 @ Y2 @ Y1)))))))))) & (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y2 @ Y3)) | (Y0 @ Y1 @ Y3)) | (~ (Y0 @ Y1 @ Y2))))))))))) & (sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: ((((((((((Y4 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y6 @ Y8) | (~ (Y5 @ Y7 @ Y8))) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (Y0 @ Y3 @ Y2))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y6 @ Y8)) | (Y4 @ Y7 @ Y8)) | (~ (Y4 @ Y7 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y5 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y2 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y8 @ Y9)) | (~ (Y7 @ Y10 @ Y8))) | (Y7 @ Y10 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y1 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y10)) | (~ (Y7 @ Y10 @ Y8))) | (Y7 @ Y9 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 @ Y1 @ Y2)) | ((~ (Y3 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y3 @ Y1) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y8 @ Y7)) | (~ (Y6 @ Y9 @ Y8))) | (Y6 @ Y9 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))))))))) | (Y2 = Y1)))))))))))))) & (confl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: ((((((((((Y3 = Y1) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y2 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y6 @ Y8)) | (~ (Y4 @ Y8 @ Y7))) | (Y4 @ Y6 @ Y7)))))))))) | ((~ (Y5 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y5 @ Y1) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y7 @ Y8)) | (Y6 @ Y7 @ Y8)))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y9 @ Y7) | (~ (Y6 @ Y9 @ Y8))) | (~ (Y6 @ Y8 @ Y7)))))))))))))))) | ((~ (Y5 = Y3)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y5 @ Y3) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (Y0 @ Y8 @ Y7))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y7 @ Y8)) | (Y6 @ Y7 @ Y9)) | (~ (Y6 @ Y8 @ Y9)))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y8 @ Y9))) | (Y7 @ Y10 @ Y9))))))))) | (Y7 @ Y1 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y8 @ Y9) | (~ (Y0 @ Y8 @ Y9)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y9 @ Y8) | (~ (Y7 @ Y9 @ Y10))) | (~ (Y7 @ Y10 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))) | (Y7 @ Y3 @ Y6)))))))))) | (Y4 @ Y1 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7))))))))) | (Y2 @ Y3 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y2 @ Y7 @ Y6) | (~ (Y2 @ Y8 @ Y6))) | (~ (Y2 @ Y7 @ Y8))))))))))))))))))))))) & (so = (^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y1 @ Y3))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & ! [X4 : d_unsorted,X3 : d_unsorted] : ((((d2unsorted @ X3)) != ((d2unsorted @ X4))) | (X3 = X4)) & (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y1 @ Y3) | (~ (Y2 @ Y1 @ Y3))))))))))) & (refl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))) & (inv = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1))))))) & (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2)))))))))) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y2 @ Y5 @ Y6) | (~ (Y3 @ Y5 @ Y6)))))))) | (Y0 @ Y2 @ Y1 @ Y4)) | (~ (Y0 @ Y3 @ Y1 @ Y4))))))))))))) & ! [X1 : $i] : ? [X2 : d_unsorted] : (((d2unsorted @ X2)) = X1) & (symm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y2 @ Y1))))))))) & (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y0 @ Y2 @ Y1)))))))) & (total = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y1 @ Y2) | (Y0 @ Y2 @ Y1)) | (Y2 = Y1)))))))) & (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y4 @ Y5))))))))))) | (Y3 @ Y1 @ Y2)))))))))) & ! [X0 : d_unsorted] : (d_unsorted_0 = X0) & (cr = (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((((((((Y4 @ Y2 @ Y3) | (Y1 @ Y3 @ Y2)) | (Y3 = Y2)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y1 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y6 @ Y5) | (~ (Y4 @ Y7 @ Y5))) | (~ (Y4 @ Y6 @ Y7))))))))))) | (((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y3 @ Y2) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y5 @ Y7 @ Y6)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y8 @ Y7)) | (~ (Y5 @ Y6 @ Y8))) | (Y5 @ Y6 @ Y7))))))))))))) & (~ (Y3 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y7 @ Y6))) | (Y5 @ Y7 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y5 @ Y6 @ Y7))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y7 @ Y8) | (~ (Y6 @ Y7 @ Y9))) | (~ (Y6 @ Y9 @ Y8))))))))))) | (Y6 @ Y3 @ Y5))))) | (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (Y0 @ Y8 @ Y7)))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y9 @ Y8)) | (~ (Y6 @ Y7 @ Y8))))))))))) | (Y6 @ Y2 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y1 @ Y7 @ Y6)) | (Y1 @ Y5 @ Y6)) | (~ (Y1 @ Y5 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))))))))))))) & (trc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y6 @ Y5) | (~ (Y3 @ Y4 @ Y5))) | (~ (Y3 @ Y6 @ Y4))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))) | (Y1 = Y2)))))))) & (idem = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ Y1) = (Y0 @ (Y0 @ Y1))))))) & (innf = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2)))))))) & (term = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y2 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y2 @ Y4)) | (~ (Y0 @ Y3 @ Y4))))))))))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (Y2 = Y1)) | (~ (Y0 @ Y1 @ Y2)))))))))),
% 2.99/0.84    inference(ennf_transformation,[],[f8])).
% 2.99/0.84  thf(f11,plain,(
% 2.99/0.84    (norm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5))))))) | (Y4 @ Y2 @ Y3)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y5 @ Y6)) | (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y7 @ Y5))))))))))))))))))))))))) & (nfof = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y6)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y4 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4))))))))))) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3))))))))))) & (irrefl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1 @ Y1)))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6)))))))) | (Y5 @ Y3 @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y7 @ Y8) | (~ (Y5 @ Y6 @ Y8))) | (~ (Y5 @ Y7 @ Y6)))))))))))))) | (Y2 @ Y4))))) | (Y2 @ Y3))))) | (Y2 @ Y1)))))))) & (lconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: ((((((((((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y3 @ Y7 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y3 @ Y7 @ Y8)) | (Y3 @ Y6 @ Y8)) | (~ (Y3 @ Y6 @ Y7))))))))))) | (~ (Y0 @ Y2 @ Y5))) | (Y4 @ Y5 @ Y1)) | (Y3 @ Y1 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y10)) | (Y7 @ Y9 @ Y8)) | (~ (Y7 @ Y10 @ Y8)))))))))) | (Y7 @ Y5 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y9) | (~ (Y7 @ Y10 @ Y9))) | (~ (Y7 @ Y8 @ Y10)))))))))) | (Y7 @ Y1 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y4 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y8))) | (Y4 @ Y7 @ Y8)))))))))) | (~ (Y0 @ Y2 @ Y1))))))))))))))) & (join = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((~ (Y1 = Y2)) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y6 @ Y4))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y1 @ Y2)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y6)) | (Y3 @ Y4 @ Y6)) | (~ (Y3 @ Y4 @ Y5))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))))))) & (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y5 @ Y6))) | (Y4 @ Y5 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y6 @ Y7) | (~ (Y4 @ Y6 @ Y5))) | (~ (Y4 @ Y5 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6)))))))))))))))))))))) & (rc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y1 = Y2) | (Y0 @ Y1 @ Y2)))))))) & (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y6 @ Y5)))))))))) | (Y3 @ Y2 @ Y1)))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y5 @ Y6) | (~ (Y3 @ Y4 @ Y6))) | (~ (Y3 @ Y5 @ Y4)))))))))))))) | (Y1 = Y2)))))))) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1))))))))) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y2 @ Y3)) | (Y0 @ Y1 @ Y3)) | (~ (Y0 @ Y1 @ Y2))))))))) & (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (Y2 = Y1)) | (~ (Y0 @ Y2 @ Y1)))))))))) & (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y2 @ Y3)) | (Y0 @ Y1 @ Y3)) | (~ (Y0 @ Y1 @ Y2))))))))))) & (sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: ((((((((((Y4 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y6 @ Y8) | (~ (Y5 @ Y7 @ Y8))) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (Y0 @ Y3 @ Y2))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y6 @ Y8)) | (Y4 @ Y7 @ Y8)) | (~ (Y4 @ Y7 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y5 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y2 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y8 @ Y9)) | (~ (Y7 @ Y10 @ Y8))) | (Y7 @ Y10 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y1 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y10)) | (~ (Y7 @ Y10 @ Y8))) | (Y7 @ Y9 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 @ Y1 @ Y2)) | ((~ (Y3 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y3 @ Y1) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y8 @ Y7)) | (~ (Y6 @ Y9 @ Y8))) | (Y6 @ Y9 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))))))))) | (Y2 = Y1)))))))))))))) & (confl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: ((((((((((Y3 = Y1) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y2 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y6 @ Y8)) | (~ (Y4 @ Y8 @ Y7))) | (Y4 @ Y6 @ Y7)))))))))) | ((~ (Y5 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y5 @ Y1) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y7 @ Y8)) | (Y6 @ Y7 @ Y8)))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y9 @ Y7) | (~ (Y6 @ Y9 @ Y8))) | (~ (Y6 @ Y8 @ Y7)))))))))))))))) | ((~ (Y5 = Y3)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y5 @ Y3) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (Y0 @ Y8 @ Y7))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y7 @ Y8)) | (Y6 @ Y7 @ Y9)) | (~ (Y6 @ Y8 @ Y9)))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y8 @ Y9))) | (Y7 @ Y10 @ Y9))))))))) | (Y7 @ Y1 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y8 @ Y9) | (~ (Y0 @ Y8 @ Y9)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y9 @ Y8) | (~ (Y7 @ Y9 @ Y10))) | (~ (Y7 @ Y10 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))) | (Y7 @ Y3 @ Y6)))))))))) | (Y4 @ Y1 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7))))))))) | (Y2 @ Y3 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y2 @ Y7 @ Y6) | (~ (Y2 @ Y8 @ Y6))) | (~ (Y2 @ Y7 @ Y8))))))))))))))))))))))) & (so = (^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y1 @ Y3))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & ! [X0 : d_unsorted,X1 : d_unsorted] : ((((d2unsorted @ X1)) != ((d2unsorted @ X0))) | (X0 = X1)) & (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y1 @ Y3) | (~ (Y2 @ Y1 @ Y3))))))))))) & (refl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))) & (inv = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1))))))) & (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2)))))))))) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y2 @ Y5 @ Y6) | (~ (Y3 @ Y5 @ Y6)))))))) | (Y0 @ Y2 @ Y1 @ Y4)) | (~ (Y0 @ Y3 @ Y1 @ Y4))))))))))))) & ! [X2 : $i] : ? [X3 : d_unsorted] : (((d2unsorted @ X3)) = X2) & (symm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y2 @ Y1))))))))) & (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y0 @ Y2 @ Y1)))))))) & (total = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y1 @ Y2) | (Y0 @ Y2 @ Y1)) | (Y2 = Y1)))))))) & (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y4 @ Y5))))))))))) | (Y3 @ Y1 @ Y2)))))))))) & ! [X4 : d_unsorted] : (d_unsorted_0 = X4) & (cr = (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((((((((Y4 @ Y2 @ Y3) | (Y1 @ Y3 @ Y2)) | (Y3 = Y2)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y1 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y6 @ Y5) | (~ (Y4 @ Y7 @ Y5))) | (~ (Y4 @ Y6 @ Y7))))))))))) | (((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y3 @ Y2) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y5 @ Y7 @ Y6)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y8 @ Y7)) | (~ (Y5 @ Y6 @ Y8))) | (Y5 @ Y6 @ Y7))))))))))))) & (~ (Y3 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y7 @ Y6))) | (Y5 @ Y7 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y5 @ Y6 @ Y7))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y7 @ Y8) | (~ (Y6 @ Y7 @ Y9))) | (~ (Y6 @ Y9 @ Y8))))))))))) | (Y6 @ Y3 @ Y5))))) | (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (Y0 @ Y8 @ Y7)))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y9 @ Y8)) | (~ (Y6 @ Y7 @ Y8))))))))))) | (Y6 @ Y2 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y1 @ Y7 @ Y6)) | (Y1 @ Y5 @ Y6)) | (~ (Y1 @ Y5 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))))))))))))) & (trc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y6 @ Y5) | (~ (Y3 @ Y4 @ Y5))) | (~ (Y3 @ Y6 @ Y4))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))) | (Y1 = Y2)))))))) & (idem = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ Y1) = (Y0 @ (Y0 @ Y1))))))) & (innf = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2)))))))) & (term = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y2 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y2 @ Y4)) | (~ (Y0 @ Y3 @ Y4))))))))))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (Y2 = Y1)) | (~ (Y0 @ Y1 @ Y2)))))))))),
% 2.99/0.84    inference(rectify,[],[f10])).
% 2.99/0.84  thf(f12,plain,(
% 2.99/0.84    (norm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: (~ (Y0 @ Y3 @ Y4))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5))))))) | (Y4 @ Y2 @ Y3)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y5 @ Y6)) | (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y7 @ Y5))))))))))))))))))))))))) & (nfof = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y6)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y4 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4))))))))))) & (!! @ $i @ (^[Y3 : $i]: (~ (Y0 @ Y1 @ Y3))))))))))) & (irrefl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1 @ Y1)))))) & (ind = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6)))))))) | (Y5 @ Y3 @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y7 @ Y8) | (~ (Y5 @ Y6 @ Y8))) | (~ (Y5 @ Y7 @ Y6)))))))))))))) | (Y2 @ Y4))))) | (Y2 @ Y3))))) | (Y2 @ Y1)))))))) & (lconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: ((((((((((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y3 @ Y7 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y3 @ Y7 @ Y8)) | (Y3 @ Y6 @ Y8)) | (~ (Y3 @ Y6 @ Y7))))))))))) | (~ (Y0 @ Y2 @ Y5))) | (Y4 @ Y5 @ Y1)) | (Y3 @ Y1 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y10)) | (Y7 @ Y9 @ Y8)) | (~ (Y7 @ Y10 @ Y8)))))))))) | (Y7 @ Y5 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y9) | (~ (Y7 @ Y10 @ Y9))) | (~ (Y7 @ Y8 @ Y10)))))))))) | (Y7 @ Y1 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y4 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y8))) | (Y4 @ Y7 @ Y8)))))))))) | (~ (Y0 @ Y2 @ Y1))))))))))))))) & (join = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((~ (Y1 = Y2)) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y6 @ Y4))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y1 @ Y2)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y6)) | (Y3 @ Y4 @ Y6)) | (~ (Y3 @ Y4 @ Y5))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))))))) & (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y5 @ Y6))) | (Y4 @ Y5 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y6 @ Y7) | (~ (Y4 @ Y6 @ Y5))) | (~ (Y4 @ Y5 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6)))))))))))))))))))))) & (rc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y1 = Y2) | (Y0 @ Y1 @ Y2)))))))) & (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y6 @ Y5)))))))))) | (Y3 @ Y2 @ Y1)))) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y5 @ Y6) | (~ (Y3 @ Y4 @ Y6))) | (~ (Y3 @ Y5 @ Y4)))))))))))))) | (Y1 = Y2)))))))) & (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1))))))))) & (po = (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y2 @ Y3)) | (Y0 @ Y1 @ Y3)) | (~ (Y0 @ Y1 @ Y2))))))))) & (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y1 @ Y2)) | (Y2 = Y1)) | (~ (Y0 @ Y2 @ Y1)))))))))) & (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y2 @ Y3)) | (Y0 @ Y1 @ Y3)) | (~ (Y0 @ Y1 @ Y2))))))))))) & (sconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: ((((((((((Y4 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y6 @ Y8) | (~ (Y5 @ Y7 @ Y8))) | (~ (Y5 @ Y6 @ Y7))))))))))) | (~ (Y0 @ Y3 @ Y2))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y6 @ Y8)) | (Y4 @ Y7 @ Y8)) | (~ (Y4 @ Y7 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y5 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y2 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y9 @ Y8) | (~ (Y0 @ Y9 @ Y8))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y8 @ Y9)) | (~ (Y7 @ Y10 @ Y8))) | (Y7 @ Y10 @ Y9))))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((Y7 @ Y1 @ Y6) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y10)) | (~ (Y7 @ Y10 @ Y8))) | (Y7 @ Y9 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 @ Y1 @ Y2)) | ((~ (Y3 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y3 @ Y1) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y8 @ Y7)) | (~ (Y6 @ Y9 @ Y8))) | (Y6 @ Y9 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))))))))) | (Y2 = Y1)))))))))))))) & (confl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: ((((((((((Y3 = Y1) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y2 @ Y7 @ Y6) | (~ (Y0 @ Y7 @ Y6))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y6 @ Y8)) | (~ (Y4 @ Y8 @ Y7))) | (Y4 @ Y6 @ Y7)))))))))) | ((~ (Y5 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y5 @ Y1) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y7 @ Y8)) | (Y6 @ Y7 @ Y8)))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y9 @ Y7) | (~ (Y6 @ Y9 @ Y8))) | (~ (Y6 @ Y8 @ Y7)))))))))))))))) | ((~ (Y5 = Y3)) & (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((Y6 @ Y5 @ Y3) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (Y0 @ Y8 @ Y7))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y7 @ Y8)) | (Y6 @ Y7 @ Y9)) | (~ (Y6 @ Y8 @ Y9)))))))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y10 @ Y8)) | (~ (Y7 @ Y8 @ Y9))) | (Y7 @ Y10 @ Y9))))))))) | (Y7 @ Y1 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y7 @ Y8 @ Y9) | (~ (Y0 @ Y8 @ Y9)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y9 @ Y8) | (~ (Y7 @ Y9 @ Y10))) | (~ (Y7 @ Y10 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))) | (Y7 @ Y3 @ Y6)))))))))) | (Y4 @ Y1 @ Y3)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) | (~ (Y0 @ Y6 @ Y7))))))))) | (Y2 @ Y3 @ Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y2 @ Y7 @ Y6) | (~ (Y2 @ Y8 @ Y6))) | (~ (Y2 @ Y7 @ Y8))))))))))))))))))))))) & (so = (^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y1 @ Y3))))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (Y0 @ Y1 @ Y2)) | (~ (Y0 @ Y2 @ Y1)))))))))) & ! [X0 : d_unsorted,X1 : d_unsorted] : ((((d2unsorted @ X1)) != ((d2unsorted @ X0))) | (X0 = X1)) & (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y1 @ Y3) | (~ (Y2 @ Y1 @ Y3))))))))))) & (refl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))) & (inv = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1))))))) & (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2)))))))))) & (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y2 @ Y5 @ Y6) | (~ (Y3 @ Y5 @ Y6)))))))) | (Y0 @ Y2 @ Y1 @ Y4)) | (~ (Y0 @ Y3 @ Y1 @ Y4))))))))))))) & ! [X2 : $i] : (((d2unsorted @ (sK0 @ X2))) = X2) & (symm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (~ (Y0 @ Y2 @ Y1))))))))) & (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y0 @ Y2 @ Y1)))))))) & (total = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y1 @ Y2) | (Y0 @ Y2 @ Y1)) | (Y2 = Y1)))))))) & (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y4)) | (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y4 @ Y5))))))))))) | (Y3 @ Y1 @ Y2)))))))))) & ! [X4 : d_unsorted] : (d_unsorted_0 = X4) & (cr = (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((((((((Y4 @ Y2 @ Y3) | (Y1 @ Y3 @ Y2)) | (Y3 = Y2)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y1 @ Y5 @ Y6) | (~ (Y0 @ Y5 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y6 @ Y5) | (~ (Y4 @ Y7 @ Y5))) | (~ (Y4 @ Y6 @ Y7))))))))))) | (((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y3 @ Y2) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y5 @ Y7 @ Y6)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y8 @ Y7)) | (~ (Y5 @ Y6 @ Y8))) | (Y5 @ Y6 @ Y7))))))))))))) & (~ (Y3 = Y2))) & (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((Y5 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y6 @ Y8)) | (~ (Y5 @ Y7 @ Y6))) | (Y5 @ Y7 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y5 @ Y6 @ Y7))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (Y0 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y7 @ Y8) | (~ (Y6 @ Y7 @ Y9))) | (~ (Y6 @ Y9 @ Y8))))))))))) | (Y6 @ Y3 @ Y5))))) | (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y6 @ Y8 @ Y7) | (~ (Y0 @ Y8 @ Y7)))))))) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y9 @ Y7)) | (Y6 @ Y9 @ Y8)) | (~ (Y6 @ Y7 @ Y8))))))))))) | (Y6 @ Y2 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y1 @ Y7 @ Y6)) | (Y1 @ Y5 @ Y6)) | (~ (Y1 @ Y5 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))))))))))))) & (trc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y6 @ Y5) | (~ (Y3 @ Y4 @ Y5))) | (~ (Y3 @ Y6 @ Y4))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y4 @ Y5) | (~ (Y0 @ Y4 @ Y5))))))))))) | (Y1 = Y2)))))))) & (idem = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((Y0 @ Y1) = (Y0 @ (Y0 @ Y1))))))) & (innf = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (~ (Y0 @ Y1 @ Y2)))))))) & (term = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((~ (Y2 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y2 @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (Y2 @ Y4)) | (~ (Y0 @ Y3 @ Y4))))))))))))))))) & (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (Y0 @ Y2 @ Y1)) | (Y2 = Y1)) | (~ (Y0 @ Y1 @ Y2)))))))))),
% 2.99/0.84    inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X3,sK0 @ X2)],[f11])).
% 2.99/0.84  thf(f19,plain,(
% 2.99/0.84    ( ! [X4 : d_unsorted] : ((d_unsorted_0 = X4)) )),
% 2.99/0.84    inference(cnf_transformation,[],[f12])).
% 2.99/0.84  thf(f24,plain,(
% 2.99/0.84    ( ! [X2 : $i] : ((((d2unsorted @ (sK0 @ X2))) = X2)) )),
% 2.99/0.84    inference(cnf_transformation,[],[f12])).
% 2.99/0.84  thf(f39,plain,(
% 2.99/0.84    (join = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((~ (Y1 = Y2)) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y6 @ Y4))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y1 @ Y2)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y6)) | (Y3 @ Y4 @ Y6)) | (~ (Y3 @ Y4 @ Y5))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))))))) & (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y5 @ Y6))) | (Y4 @ Y5 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y6 @ Y7) | (~ (Y4 @ Y6 @ Y5))) | (~ (Y4 @ Y5 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6))))))))))))))))))))))),
% 2.99/0.84    inference(cnf_transformation,[],[f12])).
% 2.99/0.84  thf(f40,plain,(
% 2.99/0.84    (lconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: ((((((((((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y3 @ Y7 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y3 @ Y7 @ Y8)) | (Y3 @ Y6 @ Y8)) | (~ (Y3 @ Y6 @ Y7))))))))))) | (~ (Y0 @ Y2 @ Y5))) | (Y4 @ Y5 @ Y1)) | (Y3 @ Y1 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y10)) | (Y7 @ Y9 @ Y8)) | (~ (Y7 @ Y10 @ Y8)))))))))) | (Y7 @ Y5 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y9) | (~ (Y7 @ Y10 @ Y9))) | (~ (Y7 @ Y8 @ Y10)))))))))) | (Y7 @ Y1 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y4 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y8))) | (Y4 @ Y7 @ Y8)))))))))) | (~ (Y0 @ Y2 @ Y1)))))))))))))))),
% 2.99/0.84    inference(cnf_transformation,[],[f12])).
% 2.99/0.84  thf(f45,plain,(
% 2.99/0.84    (lconfl != (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y2 @ Y3)) => (join @ Y0 @ Y1 @ Y3))))))))))),
% 2.99/0.84    inference(cnf_transformation,[],[f9])).
% 2.99/0.84  thf(f49,definition,(
% 2.99/0.84    spl1_1 <=> (lconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: ((((((((((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y3 @ Y7 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y3 @ Y7 @ Y8)) | (Y3 @ Y6 @ Y8)) | (~ (Y3 @ Y6 @ Y7))))))))))) | (~ (Y0 @ Y2 @ Y5))) | (Y4 @ Y5 @ Y1)) | (Y3 @ Y1 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y10)) | (Y7 @ Y9 @ Y8)) | (~ (Y7 @ Y10 @ Y8)))))))))) | (Y7 @ Y5 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y9) | (~ (Y7 @ Y10 @ Y9))) | (~ (Y7 @ Y8 @ Y10)))))))))) | (Y7 @ Y1 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y4 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y8))) | (Y4 @ Y7 @ Y8)))))))))) | (~ (Y0 @ Y2 @ Y1)))))))))))))))),
% 2.99/0.84    introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition])).
% 2.99/0.84  thf(f51,plain,(
% 2.99/0.84    (lconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: ((((((((((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y3 @ Y7 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y3 @ Y7 @ Y8)) | (Y3 @ Y6 @ Y8)) | (~ (Y3 @ Y6 @ Y7))))))))))) | (~ (Y0 @ Y2 @ Y5))) | (Y4 @ Y5 @ Y1)) | (Y3 @ Y1 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y10)) | (Y7 @ Y9 @ Y8)) | (~ (Y7 @ Y10 @ Y8)))))))))) | (Y7 @ Y5 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y9) | (~ (Y7 @ Y10 @ Y9))) | (~ (Y7 @ Y8 @ Y10)))))))))) | (Y7 @ Y1 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y4 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y8))) | (Y4 @ Y7 @ Y8)))))))))) | (~ (Y0 @ Y2 @ Y1))))))))))))))) | ~spl1_1),
% 2.99/0.84    inference(avatar_component_clause,[],[f49])).
% 2.99/0.84  thf(f52,plain,(
% 2.99/0.84    spl1_1),
% 2.99/0.84    inference(avatar_split_clause,[],[f40,f49])).
% 2.99/0.84  thf(f54,definition,(
% 2.99/0.84    spl1_2 <=> (join = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((~ (Y1 = Y2)) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y6 @ Y4))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y1 @ Y2)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y6)) | (Y3 @ Y4 @ Y6)) | (~ (Y3 @ Y4 @ Y5))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))))))) & (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y5 @ Y6))) | (Y4 @ Y5 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y6 @ Y7) | (~ (Y4 @ Y6 @ Y5))) | (~ (Y4 @ Y5 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6))))))))))))))))))))))),
% 2.99/0.84    introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition])).
% 2.99/0.84  thf(f56,plain,(
% 2.99/0.84    (join = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((~ (Y1 = Y2)) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y6 @ Y4))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y1 @ Y2)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y6)) | (Y3 @ Y4 @ Y6)) | (~ (Y3 @ Y4 @ Y5))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))))))) & (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y5 @ Y6))) | (Y4 @ Y5 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y6 @ Y7) | (~ (Y4 @ Y6 @ Y5))) | (~ (Y4 @ Y5 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6)))))))))))))))))))))) | ~spl1_2),
% 2.99/0.84    inference(avatar_component_clause,[],[f54])).
% 2.99/0.84  thf(f57,plain,(
% 2.99/0.84    spl1_2),
% 2.99/0.84    inference(avatar_split_clause,[],[f39,f54])).
% 2.99/0.84  thf(f59,definition,(
% 2.99/0.84    spl1_3 <=> (lconfl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y2 @ Y3)) => (join @ Y0 @ Y1 @ Y3))))))))))),
% 2.99/0.84    introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition])).
% 2.99/0.84  thf(f61,plain,(
% 2.99/0.84    (lconfl != (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y2 @ Y3)) => (join @ Y0 @ Y1 @ Y3)))))))))) | spl1_3),
% 2.99/0.84    inference(avatar_component_clause,[],[f59])).
% 2.99/0.84  thf(f62,plain,(
% 2.99/0.84    ~spl1_3),
% 2.99/0.84    inference(avatar_split_clause,[],[f45,f59])).
% 2.99/0.84  thf(f63,plain,(
% 2.99/0.84    ((((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y2 @ Y3)) => (join @ Y0 @ Y1 @ Y3))))))))) @ sK2)) != ((lconfl @ sK2))) | spl1_3),
% 2.99/0.84    inference(negative_extensionality,[],[f61])).
% 2.99/0.84  thf(f65,plain,(
% 2.99/0.84    ((((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y2 @ Y3)) => (join @ Y0 @ Y1 @ Y3))))))))) @ sK2)) = $false) | (((lconfl @ sK2)) = $false) | spl1_3),
% 2.99/0.84    inference(xor_proxy_clausification,[],[f63])).
% 2.99/0.84  thf(f66,plain,(
% 2.99/0.84    (((lconfl @ sK2)) = $false) | (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y1 @ Y0) & (sK2 @ Y1 @ Y2)) => (join @ sK2 @ Y0 @ Y2))))))))) = $false) | spl1_3),
% 2.99/0.84    inference(beta-eta_normalization,[],[f65])).
% 2.99/0.84  thf(f67,plain,(
% 2.99/0.84    (((lconfl @ sK2)) = $false) | ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK2 @ Y1 @ Y0) & (sK2 @ Y1 @ Y2)) => (join @ sK2 @ Y0 @ Y2))))))) @ sK3)) = $false) | spl1_3),
% 2.99/0.84    inference(sigma_proxy_clausification,[],[f66])).
% 2.99/0.84  thf(f68,plain,(
% 2.99/0.84    (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK2 @ Y0 @ sK3) & (sK2 @ Y0 @ Y1)) => (join @ sK2 @ sK3 @ Y1))))))) = $false) | (((lconfl @ sK2)) = $false) | spl1_3),
% 2.99/0.84    inference(beta-eta_normalization,[],[f67])).
% 2.99/0.84  thf(f69,plain,(
% 2.99/0.84    ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK2 @ Y0 @ sK3) & (sK2 @ Y0 @ Y1)) => (join @ sK2 @ sK3 @ Y1))))) @ sK4)) = $false) | (((lconfl @ sK2)) = $false) | spl1_3),
% 2.99/0.84    inference(sigma_proxy_clausification,[],[f68])).
% 2.99/0.84  thf(f70,plain,(
% 2.99/0.84    (((!! @ $i @ (^[Y0 : $i]: (((sK2 @ sK4 @ sK3) & (sK2 @ sK4 @ Y0)) => (join @ sK2 @ sK3 @ Y0))))) = $false) | (((lconfl @ sK2)) = $false) | spl1_3),
% 2.99/0.84    inference(beta-eta_normalization,[],[f69])).
% 2.99/0.84  thf(f71,plain,(
% 2.99/0.84    ((((^[Y0 : $i]: (((sK2 @ sK4 @ sK3) & (sK2 @ sK4 @ Y0)) => (join @ sK2 @ sK3 @ Y0))) @ sK5)) = $false) | (((lconfl @ sK2)) = $false) | spl1_3),
% 2.99/0.84    inference(sigma_proxy_clausification,[],[f70])).
% 2.99/0.84  thf(f72,plain,(
% 2.99/0.84    (((((sK2 @ sK4 @ sK3) & (sK2 @ sK4 @ sK5)) => (join @ sK2 @ sK3 @ sK5))) = $false) | (((lconfl @ sK2)) = $false) | spl1_3),
% 2.99/0.84    inference(beta-eta_normalization,[],[f71])).
% 2.99/0.84  thf(f73,plain,(
% 2.99/0.84    (((join @ sK2 @ sK3 @ sK5)) = $false) | (((lconfl @ sK2)) = $false) | spl1_3),
% 2.99/0.84    inference(imp_proxy_clausification,[],[f72])).
% 2.99/0.84  thf(f87,definition,(
% 2.99/0.84    spl1_4 <=> (((lconfl @ sK2)) = $false)),
% 2.99/0.84    introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition])).
% 2.99/0.84  thf(f89,plain,(
% 2.99/0.84    (((lconfl @ sK2)) = $false) | ~spl1_4),
% 2.99/0.84    inference(avatar_component_clause,[],[f87])).
% 2.99/0.84  thf(f101,definition,(
% 2.99/0.84    spl1_7 <=> (((join @ sK2 @ sK3 @ sK5)) = $false)),
% 2.99/0.84    introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition])).
% 2.99/0.84  thf(f103,plain,(
% 2.99/0.84    (((join @ sK2 @ sK3 @ sK5)) = $false) | ~spl1_7),
% 2.99/0.84    inference(avatar_component_clause,[],[f101])).
% 2.99/0.84  thf(f104,plain,(
% 2.99/0.84    spl1_7 | spl1_4 | spl1_3),
% 2.99/0.84    inference(avatar_split_clause,[],[f73,f59,f87,f101])).
% 2.99/0.84  thf(f114,plain,(
% 2.99/0.84    ( ! [X0 : $i] : ((((d2unsorted @ d_unsorted_0)) = X0)) )),
% 2.99/0.84    inference(superposition,[],[f24,f19])).
% 2.99/0.84  thf(f120,plain,(
% 2.99/0.84    ( ! [X1 : ($i > $i > $o)] : (((((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (~ ((((~ (Y1 = Y2)) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y5 @ Y4))) | (Y3 @ Y6 @ Y4))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y0 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5)))))))) | (Y3 @ Y1 @ Y2)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y2 @ Y1) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y6)) | (Y3 @ Y4 @ Y6)) | (~ (Y3 @ Y4 @ Y5))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (Y0 @ Y5 @ Y4))))))))))))) & (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y2 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y6 @ Y7)) | (~ (Y4 @ Y5 @ Y6))) | (Y4 @ Y5 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y4 @ Y6 @ Y5) | (~ (Y0 @ Y6 @ Y5)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((Y4 @ Y1 @ Y3) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y6 @ Y7) | (~ (Y4 @ Y6 @ Y5))) | (~ (Y4 @ Y5 @ Y7))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y0 @ Y5 @ Y6)) | (Y4 @ Y5 @ Y6))))))))))))))))))))) @ X1)) = ((join @ X1)))) ) | ~spl1_2),
% 2.99/0.84    inference(argument_congruence,[],[f56])).
% 2.99/0.84  thf(f121,plain,(
% 2.99/0.84    ( ! [X1 : ($i > $i > $o)] : (((^[Y0 : $i]: ((^[Y1 : $i]: (~ ((((~ (Y0 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y5 @ Y4)) | (~ (Y2 @ Y4 @ Y3))) | (Y2 @ Y5 @ Y3))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y3 @ Y4)) | (Y2 @ Y3 @ Y4)))))))) | (Y2 @ Y0 @ Y1)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ Y1 @ Y0) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y4 @ Y5)) | (Y2 @ Y3 @ Y5)) | (~ (Y2 @ Y3 @ Y4))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) | (~ (X1 @ Y4 @ Y3))))))))))))) & (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y6)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y4 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (X1 @ Y5 @ Y4)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y0 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y5 @ Y6) | (~ (Y3 @ Y5 @ Y4))) | (~ (Y3 @ Y4 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (X1 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5))))))))))))))))))) = ((join @ X1)))) ) | ~spl1_2),
% 2.99/0.84    inference(beta-eta_normalization,[],[f120])).
% 2.99/0.84  thf(f133,plain,(
% 2.99/0.84    ( ! [X0 : $i,X1 : $i] : ((X0 = X1)) )),
% 2.99/0.84    inference(superposition,[],[f114,f114])).
% 2.99/0.84  thf(f239,plain,(
% 2.99/0.84    ( ! [X1 : ($i > $i > $o)] : (((((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: ((((((((((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y3 @ Y7 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y3 @ Y7 @ Y8)) | (Y3 @ Y6 @ Y8)) | (~ (Y3 @ Y6 @ Y7))))))))))) | (~ (Y0 @ Y2 @ Y5))) | (Y4 @ Y5 @ Y1)) | (Y3 @ Y1 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y10)) | (Y7 @ Y9 @ Y8)) | (~ (Y7 @ Y10 @ Y8)))))))))) | (Y7 @ Y5 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y9) | (~ (Y7 @ Y10 @ Y9))) | (~ (Y7 @ Y8 @ Y10)))))))))) | (Y7 @ Y1 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y4 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y8))) | (Y4 @ Y7 @ Y8)))))))))) | (~ (Y0 @ Y2 @ Y1)))))))))))))) @ X1)) = ((lconfl @ X1)))) ) | ~spl1_1),
% 2.99/0.84    inference(argument_congruence,[],[f51])).
% 2.99/0.84  thf(f241,plain,(
% 2.99/0.84    ( ! [X1 : ($i > $i > $o)] : (((((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: ((((((((((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y7 @ Y6)) | (Y3 @ Y7 @ Y6))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y3 @ Y7 @ Y8)) | (Y3 @ Y6 @ Y8)) | (~ (Y3 @ Y6 @ Y7))))))))))) | (~ (Y0 @ Y2 @ Y5))) | (Y4 @ Y5 @ Y1)) | (Y3 @ Y1 @ Y5)) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((~ (Y7 @ Y9 @ Y10)) | (Y7 @ Y9 @ Y8)) | (~ (Y7 @ Y10 @ Y8)))))))))) | (Y7 @ Y5 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (((Y7 @ Y8 @ Y9) | (~ (Y7 @ Y10 @ Y9))) | (~ (Y7 @ Y8 @ Y10)))))))))) | (Y7 @ Y1 @ Y6)) | (~ (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((~ (Y0 @ Y9 @ Y8)) | (Y7 @ Y9 @ Y8)))))))))))))))) | (Y5 = Y1)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y0 @ Y6 @ Y7)) | (Y4 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y4 @ Y7 @ Y6)) | (~ (Y4 @ Y6 @ Y8))) | (Y4 @ Y7 @ Y8)))))))))) | (~ (Y0 @ Y2 @ Y1)))))))))))))) @ X1)) = $false) | ($true = ((lconfl @ X1)))) ) | ~spl1_1),
% 2.99/0.84    inference(iff_proxy_clausification,[],[f239])).
% 2.99/0.84  thf(f242,plain,(
% 2.99/0.84    ( ! [X1 : ($i > $i > $o)] : (($true = ((lconfl @ X1))) | (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: ((((((((((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (X1 @ Y6 @ Y5)) | (Y2 @ Y6 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y2 @ Y6 @ Y7)) | (Y2 @ Y5 @ Y7)) | (~ (Y2 @ Y5 @ Y6))))))))))) | (~ (X1 @ Y1 @ Y4))) | (Y3 @ Y4 @ Y0)) | (Y2 @ Y0 @ Y4)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y8 @ Y9)) | (Y6 @ Y8 @ Y7)) | (~ (Y6 @ Y9 @ Y7)))))))))) | (Y6 @ Y4 @ Y5)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (X1 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y7 @ Y8) | (~ (Y6 @ Y9 @ Y8))) | (~ (Y6 @ Y7 @ Y9)))))))))) | (Y6 @ Y0 @ Y5)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (X1 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7)))))))))))))))) | (Y4 = Y0)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (X1 @ Y5 @ Y6)) | (Y3 @ Y5 @ Y6)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y5 @ Y7))) | (Y3 @ Y6 @ Y7)))))))))) | (~ (X1 @ Y1 @ Y0)))))))))))))) = $false)) ) | ~spl1_1),
% 2.99/0.84    inference(beta-eta_normalization,[],[f241])).
% 2.99/0.84  thf(f243,plain,(
% 2.99/0.84    ( ! [X1 : ($i > $i > $o)] : (((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: ((((((((((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (X1 @ Y6 @ Y5)) | (Y2 @ Y6 @ Y5))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y2 @ Y6 @ Y7)) | (Y2 @ Y5 @ Y7)) | (~ (Y2 @ Y5 @ Y6))))))))))) | (~ (X1 @ Y1 @ Y4))) | (Y3 @ Y4 @ Y0)) | (Y2 @ Y0 @ Y4)) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((~ (Y6 @ Y8 @ Y9)) | (Y6 @ Y8 @ Y7)) | (~ (Y6 @ Y9 @ Y7)))))))))) | (Y6 @ Y4 @ Y5)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (X1 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y6 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: (((Y6 @ Y7 @ Y8) | (~ (Y6 @ Y9 @ Y8))) | (~ (Y6 @ Y7 @ Y9)))))))))) | (Y6 @ Y0 @ Y5)) | (~ (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((~ (X1 @ Y8 @ Y7)) | (Y6 @ Y8 @ Y7)))))))))))))))) | (Y4 = Y0)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (X1 @ Y5 @ Y6)) | (Y3 @ Y5 @ Y6)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y3 @ Y6 @ Y5)) | (~ (Y3 @ Y5 @ Y7))) | (Y3 @ Y6 @ Y7)))))))))) | (~ (X1 @ Y1 @ Y0)))))))))))) @ (sK6 @ X1))) = $false) | ($true = ((lconfl @ X1)))) ) | ~spl1_1),
% 2.99/0.84    inference(sigma_proxy_clausification,[],[f242])).
% 2.99/0.84  thf(f244,plain,(
% 2.99/0.84    ( ! [X1 : ($i > $i > $o)] : ((((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((((((((((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (X1 @ Y5 @ Y4)) | (Y1 @ Y5 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y1 @ Y5 @ Y6)) | (Y1 @ Y4 @ Y6)) | (~ (Y1 @ Y4 @ Y5))))))))))) | (~ (X1 @ Y0 @ Y3))) | (Y2 @ Y3 @ (sK6 @ X1))) | (Y1 @ (sK6 @ X1) @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y7 @ Y8)) | (Y5 @ Y7 @ Y6)) | (~ (Y5 @ Y8 @ Y6)))))))))) | (Y5 @ Y3 @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (X1 @ Y7 @ Y6)) | (Y5 @ Y7 @ Y6))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y6 @ Y7) | (~ (Y5 @ Y8 @ Y7))) | (~ (Y5 @ Y6 @ Y8)))))))))) | (Y5 @ (sK6 @ X1) @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (X1 @ Y7 @ Y6)) | (Y5 @ Y7 @ Y6)))))))))))))))) | (Y3 = (sK6 @ X1))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (X1 @ Y4 @ Y5)) | (Y2 @ Y4 @ Y5)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y2 @ Y5 @ Y4)) | (~ (Y2 @ Y4 @ Y6))) | (Y2 @ Y5 @ Y6)))))))))) | (~ (X1 @ Y0 @ (sK6 @ X1))))))))))))) = $false) | ($true = ((lconfl @ X1)))) ) | ~spl1_1),
% 2.99/0.84    inference(beta-eta_normalization,[],[f243])).
% 2.99/0.84  thf(f245,plain,(
% 2.99/0.84    ( ! [X1 : ($i > $i > $o)] : (((((^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((((((((((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (X1 @ Y5 @ Y4)) | (Y1 @ Y5 @ Y4))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y1 @ Y5 @ Y6)) | (Y1 @ Y4 @ Y6)) | (~ (Y1 @ Y4 @ Y5))))))))))) | (~ (X1 @ Y0 @ Y3))) | (Y2 @ Y3 @ (sK6 @ X1))) | (Y1 @ (sK6 @ X1) @ Y3)) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((~ (Y5 @ Y7 @ Y8)) | (Y5 @ Y7 @ Y6)) | (~ (Y5 @ Y8 @ Y6)))))))))) | (Y5 @ Y3 @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (X1 @ Y7 @ Y6)) | (Y5 @ Y7 @ Y6))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y5 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y6 @ Y7) | (~ (Y5 @ Y8 @ Y7))) | (~ (Y5 @ Y6 @ Y8)))))))))) | (Y5 @ (sK6 @ X1) @ Y4)) | (~ (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (X1 @ Y7 @ Y6)) | (Y5 @ Y7 @ Y6)))))))))))))))) | (Y3 = (sK6 @ X1))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (X1 @ Y4 @ Y5)) | (Y2 @ Y4 @ Y5)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y2 @ Y5 @ Y4)) | (~ (Y2 @ Y4 @ Y6))) | (Y2 @ Y5 @ Y6)))))))))) | (~ (X1 @ Y0 @ (sK6 @ X1))))))))))) @ (sK7 @ X1))) = $false) | ($true = ((lconfl @ X1)))) ) | ~spl1_1),
% 2.99/0.84    inference(sigma_proxy_clausification,[],[f244])).
% 2.99/0.84  thf(f246,plain,(
% 2.99/0.84    ( ! [X1 : ($i > $i > $o)] : (($true = ((lconfl @ X1))) | (((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((((((((((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y4 @ Y3)) | (Y0 @ Y4 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y0 @ Y4 @ Y5)) | (Y0 @ Y3 @ Y5)) | (~ (Y0 @ Y3 @ Y4))))))))))) | (~ (X1 @ (sK7 @ X1) @ Y2))) | (Y1 @ Y2 @ (sK6 @ X1))) | (Y0 @ (sK6 @ X1) @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y6 @ Y7)) | (Y4 @ Y6 @ Y5)) | (~ (Y4 @ Y7 @ Y5)))))))))) | (Y4 @ Y2 @ Y3)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (X1 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y5 @ Y6) | (~ (Y4 @ Y7 @ Y6))) | (~ (Y4 @ Y5 @ Y7)))))))))) | (Y4 @ (sK6 @ X1) @ Y3)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (X1 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))))))))))) | (Y2 = (sK6 @ X1))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y3 @ Y4)) | (Y1 @ Y3 @ Y4)))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y1 @ Y4 @ Y3)) | (~ (Y1 @ Y3 @ Y5))) | (Y1 @ Y4 @ Y5)))))))))) | (~ (X1 @ (sK7 @ X1) @ (sK6 @ X1))))))))))) = $false)) ) | ~spl1_1),
% 2.99/0.84    inference(beta-eta_normalization,[],[f245])).
% 2.99/0.84  thf(f247,plain,(
% 2.99/0.84    ( ! [X1 : ($i > $i > $o)] : (($true = ((lconfl @ X1))) | ((((^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((((((((((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y4 @ Y3)) | (Y0 @ Y4 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y0 @ Y4 @ Y5)) | (Y0 @ Y3 @ Y5)) | (~ (Y0 @ Y3 @ Y4))))))))))) | (~ (X1 @ (sK7 @ X1) @ Y2))) | (Y1 @ Y2 @ (sK6 @ X1))) | (Y0 @ (sK6 @ X1) @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((~ (Y4 @ Y6 @ Y7)) | (Y4 @ Y6 @ Y5)) | (~ (Y4 @ Y7 @ Y5)))))))))) | (Y4 @ Y2 @ Y3)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (X1 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y5 @ Y6) | (~ (Y4 @ Y7 @ Y6))) | (~ (Y4 @ Y5 @ Y7)))))))))) | (Y4 @ (sK6 @ X1) @ Y3)) | (~ (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (X1 @ Y6 @ Y5)) | (Y4 @ Y6 @ Y5)))))))))))))))) | (Y2 = (sK6 @ X1))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y3 @ Y4)) | (Y1 @ Y3 @ Y4)))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y1 @ Y4 @ Y3)) | (~ (Y1 @ Y3 @ Y5))) | (Y1 @ Y4 @ Y5)))))))))) | (~ (X1 @ (sK7 @ X1) @ (sK6 @ X1))))))))) @ (sK8 @ X1))) = $false)) ) | ~spl1_1),
% 2.99/0.84    inference(sigma_proxy_clausification,[],[f246])).
% 2.99/0.84  thf(f248,plain,(
% 2.99/0.84    ( ! [X1 : ($i > $i > $o)] : (($true = ((lconfl @ X1))) | (((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((((((((((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (sK8 @ X1 @ Y3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (sK8 @ X1 @ Y3 @ Y4)) | (sK8 @ X1 @ Y2 @ Y4)) | (~ (sK8 @ X1 @ Y2 @ Y3))))))))))) | (~ (X1 @ (sK7 @ X1) @ Y1))) | (Y0 @ Y1 @ (sK6 @ X1))) | (sK8 @ X1 @ (sK6 @ X1) @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y6)) | (Y3 @ Y5 @ Y4)) | (~ (Y3 @ Y6 @ Y4)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (X1 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y6 @ Y5))) | (~ (Y3 @ Y4 @ Y6)))))))))) | (Y3 @ (sK6 @ X1) @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (X1 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))))))))))) | (Y1 = (sK6 @ X1))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y2 @ Y3)) | (Y0 @ Y2 @ Y3)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (~ (Y0 @ Y2 @ Y4))) | (Y0 @ Y3 @ Y4)))))))))) | (~ (X1 @ (sK7 @ X1) @ (sK6 @ X1))))))))) = $false)) ) | ~spl1_1),
% 2.99/0.84    inference(beta-eta_normalization,[],[f247])).
% 2.99/0.84  thf(f249,plain,(
% 2.99/0.84    ( ! [X1 : ($i > $i > $o)] : (($true = ((lconfl @ X1))) | ((((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((((((((((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (sK8 @ X1 @ Y3 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (sK8 @ X1 @ Y3 @ Y4)) | (sK8 @ X1 @ Y2 @ Y4)) | (~ (sK8 @ X1 @ Y2 @ Y3))))))))))) | (~ (X1 @ (sK7 @ X1) @ Y1))) | (Y0 @ Y1 @ (sK6 @ X1))) | (sK8 @ X1 @ (sK6 @ X1) @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y6)) | (Y3 @ Y5 @ Y4)) | (~ (Y3 @ Y6 @ Y4)))))))))) | (Y3 @ Y1 @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (X1 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y5) | (~ (Y3 @ Y6 @ Y5))) | (~ (Y3 @ Y4 @ Y6)))))))))) | (Y3 @ (sK6 @ X1) @ Y2)) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (X1 @ Y5 @ Y4)) | (Y3 @ Y5 @ Y4)))))))))))))))) | (Y1 = (sK6 @ X1))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y2 @ Y3)) | (Y0 @ Y2 @ Y3)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (~ (Y0 @ Y2 @ Y4))) | (Y0 @ Y3 @ Y4)))))))))) | (~ (X1 @ (sK7 @ X1) @ (sK6 @ X1))))))) @ (sK9 @ X1))) = $false)) ) | ~spl1_1),
% 2.99/0.84    inference(sigma_proxy_clausification,[],[f248])).
% 2.99/0.84  thf(f250,plain,(
% 2.99/0.84    ( ! [X1 : ($i > $i > $o)] : ((((!! @ $i @ (^[Y0 : $i]: ((((((((((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y2 @ Y1)) | (sK8 @ X1 @ Y2 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (sK8 @ X1 @ Y2 @ Y3)) | (sK8 @ X1 @ Y1 @ Y3)) | (~ (sK8 @ X1 @ Y1 @ Y2))))))))))) | (~ (X1 @ (sK7 @ X1) @ Y0))) | (sK9 @ X1 @ Y0 @ (sK6 @ X1))) | (sK8 @ X1 @ (sK6 @ X1) @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y4 @ Y5)) | (Y2 @ Y4 @ Y3)) | (~ (Y2 @ Y5 @ Y3)))))))))) | (Y2 @ Y0 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y4 @ Y3)) | (Y2 @ Y4 @ Y3))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y3 @ Y4) | (~ (Y2 @ Y5 @ Y4))) | (~ (Y2 @ Y3 @ Y5)))))))))) | (Y2 @ (sK6 @ X1) @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y4 @ Y3)) | (Y2 @ Y4 @ Y3)))))))))))))))) | (Y0 = (sK6 @ X1))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y1 @ Y2)) | (sK9 @ X1 @ Y1 @ Y2)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (sK9 @ X1 @ Y2 @ Y1)) | (~ (sK9 @ X1 @ Y1 @ Y3))) | (sK9 @ X1 @ Y2 @ Y3)))))))))) | (~ (X1 @ (sK7 @ X1) @ (sK6 @ X1))))))) = $false) | ($true = ((lconfl @ X1)))) ) | ~spl1_1),
% 2.99/0.84    inference(beta-eta_normalization,[],[f249])).
% 2.99/0.84  thf(f251,plain,(
% 2.99/0.84    ( ! [X1 : ($i > $i > $o)] : (((((^[Y0 : $i]: ((((((((((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y2 @ Y1)) | (sK8 @ X1 @ Y2 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (sK8 @ X1 @ Y2 @ Y3)) | (sK8 @ X1 @ Y1 @ Y3)) | (~ (sK8 @ X1 @ Y1 @ Y2))))))))))) | (~ (X1 @ (sK7 @ X1) @ Y0))) | (sK9 @ X1 @ Y0 @ (sK6 @ X1))) | (sK8 @ X1 @ (sK6 @ X1) @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y4 @ Y5)) | (Y2 @ Y4 @ Y3)) | (~ (Y2 @ Y5 @ Y3)))))))))) | (Y2 @ Y0 @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y4 @ Y3)) | (Y2 @ Y4 @ Y3))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y3 @ Y4) | (~ (Y2 @ Y5 @ Y4))) | (~ (Y2 @ Y3 @ Y5)))))))))) | (Y2 @ (sK6 @ X1) @ Y1)) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y4 @ Y3)) | (Y2 @ Y4 @ Y3)))))))))))))))) | (Y0 = (sK6 @ X1))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y1 @ Y2)) | (sK9 @ X1 @ Y1 @ Y2)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (sK9 @ X1 @ Y2 @ Y1)) | (~ (sK9 @ X1 @ Y1 @ Y3))) | (sK9 @ X1 @ Y2 @ Y3)))))))))) | (~ (X1 @ (sK7 @ X1) @ (sK6 @ X1))))) @ (sK10 @ X1))) = $false) | ($true = ((lconfl @ X1)))) ) | ~spl1_1),
% 2.99/0.84    inference(sigma_proxy_clausification,[],[f250])).
% 2.99/0.84  thf(f252,plain,(
% 2.99/0.84    ( ! [X1 : ($i > $i > $o)] : (((((((((((((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (X1 @ Y1 @ Y0)) | (sK8 @ X1 @ Y1 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK8 @ X1 @ Y1 @ Y2)) | (sK8 @ X1 @ Y0 @ Y2)) | (~ (sK8 @ X1 @ Y0 @ Y1))))))))))) | (~ (X1 @ (sK7 @ X1) @ (sK10 @ X1)))) | (sK9 @ X1 @ (sK10 @ X1) @ (sK6 @ X1))) | (sK8 @ X1 @ (sK6 @ X1) @ (sK10 @ X1))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y3 @ Y4)) | (Y1 @ Y3 @ Y2)) | (~ (Y1 @ Y4 @ Y2)))))))))) | (Y1 @ (sK10 @ X1) @ Y0)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y3) | (~ (Y1 @ Y4 @ Y3))) | (~ (Y1 @ Y2 @ Y4)))))))))) | (Y1 @ (sK6 @ X1) @ Y0)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2)))))))))))))))) | ((sK10 @ X1) = (sK6 @ X1))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (X1 @ Y0 @ Y1)) | (sK9 @ X1 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK9 @ X1 @ Y1 @ Y0)) | (~ (sK9 @ X1 @ Y0 @ Y2))) | (sK9 @ X1 @ Y1 @ Y2)))))))))) | (~ (X1 @ (sK7 @ X1) @ (sK6 @ X1))))) = $false) | ($true = ((lconfl @ X1)))) ) | ~spl1_1),
% 2.99/0.84    inference(beta-eta_normalization,[],[f251])).
% 2.99/0.84  thf(f254,plain,(
% 2.99/0.84    ( ! [X1 : ($i > $i > $o)] : (($true = ((lconfl @ X1))) | (((((((((((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (X1 @ Y1 @ Y0)) | (sK8 @ X1 @ Y1 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK8 @ X1 @ Y1 @ Y2)) | (sK8 @ X1 @ Y0 @ Y2)) | (~ (sK8 @ X1 @ Y0 @ Y1))))))))))) | (~ (X1 @ (sK7 @ X1) @ (sK10 @ X1)))) | (sK9 @ X1 @ (sK10 @ X1) @ (sK6 @ X1))) | (sK8 @ X1 @ (sK6 @ X1) @ (sK10 @ X1))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y3 @ Y4)) | (Y1 @ Y3 @ Y2)) | (~ (Y1 @ Y4 @ Y2)))))))))) | (Y1 @ (sK10 @ X1) @ Y0)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y3) | (~ (Y1 @ Y4 @ Y3))) | (~ (Y1 @ Y2 @ Y4)))))))))) | (Y1 @ (sK6 @ X1) @ Y0)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2)))))))))))))))) | ((sK10 @ X1) = (sK6 @ X1))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (X1 @ Y0 @ Y1)) | (sK9 @ X1 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK9 @ X1 @ Y1 @ Y0)) | (~ (sK9 @ X1 @ Y0 @ Y2))) | (sK9 @ X1 @ Y1 @ Y2))))))))))) = $false)) ) | ~spl1_1),
% 2.99/0.84    inference(or_proxy_clausification,[],[f252])).
% 2.99/0.84  thf(f256,plain,(
% 2.99/0.84    ( ! [X1 : ($i > $i > $o)] : (($true = ((lconfl @ X1))) | ((((((((((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (X1 @ Y1 @ Y0)) | (sK8 @ X1 @ Y1 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK8 @ X1 @ Y1 @ Y2)) | (sK8 @ X1 @ Y0 @ Y2)) | (~ (sK8 @ X1 @ Y0 @ Y1))))))))))) | (~ (X1 @ (sK7 @ X1) @ (sK10 @ X1)))) | (sK9 @ X1 @ (sK10 @ X1) @ (sK6 @ X1))) | (sK8 @ X1 @ (sK6 @ X1) @ (sK10 @ X1))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y3 @ Y4)) | (Y1 @ Y3 @ Y2)) | (~ (Y1 @ Y4 @ Y2)))))))))) | (Y1 @ (sK10 @ X1) @ Y0)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y3) | (~ (Y1 @ Y4 @ Y3))) | (~ (Y1 @ Y2 @ Y4)))))))))) | (Y1 @ (sK6 @ X1) @ Y0)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2)))))))))))))))) | ((sK10 @ X1) = (sK6 @ X1))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (X1 @ Y0 @ Y1)) | (sK9 @ X1 @ Y0 @ Y1))))))))) = $false)) ) | ~spl1_1),
% 2.99/0.84    inference(or_proxy_clausification,[],[f254])).
% 2.99/0.84  thf(f258,plain,(
% 2.99/0.84    ( ! [X1 : ($i > $i > $o)] : ((((((((((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (X1 @ Y1 @ Y0)) | (sK8 @ X1 @ Y1 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((~ (sK8 @ X1 @ Y1 @ Y2)) | (sK8 @ X1 @ Y0 @ Y2)) | (~ (sK8 @ X1 @ Y0 @ Y1))))))))))) | (~ (X1 @ (sK7 @ X1) @ (sK10 @ X1)))) | (sK9 @ X1 @ (sK10 @ X1) @ (sK6 @ X1))) | (sK8 @ X1 @ (sK6 @ X1) @ (sK10 @ X1))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y3 @ Y4)) | (Y1 @ Y3 @ Y2)) | (~ (Y1 @ Y4 @ Y2)))))))))) | (Y1 @ (sK10 @ X1) @ Y0)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y3) | (~ (Y1 @ Y4 @ Y3))) | (~ (Y1 @ Y2 @ Y4)))))))))) | (Y1 @ (sK6 @ X1) @ Y0)) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y3 @ Y2)) | (Y1 @ Y3 @ Y2)))))))))))))))) | ((sK10 @ X1) = (sK6 @ X1)))) = $false) | ($true = ((lconfl @ X1)))) ) | ~spl1_1),
% 2.99/0.84    inference(or_proxy_clausification,[],[f256])).
% 2.99/0.84  thf(f259,plain,(
% 2.99/0.84    ( ! [X1 : ($i > $i > $o)] : (($true = ((lconfl @ X1))) | ((((sK10 @ X1) = (sK6 @ X1))) = $false)) ) | ~spl1_1),
% 2.99/0.84    inference(or_proxy_clausification,[],[f258])).
% 2.99/0.84  thf(f412,plain,(
% 2.99/0.84    ( ! [X1 : ($i > $i > $o)] : ((((sK10 @ X1)) != ((sK6 @ X1))) | ($true = ((lconfl @ X1)))) ) | ~spl1_1),
% 2.99/0.84    inference(equality_proxy_clausification,[],[f259])).
% 2.99/0.84  thf(f2232,plain,(
% 2.99/0.84    ( ! [X1 : ($i > $i > $o)] : (($true = ((lconfl @ X1)))) ) | ~spl1_1),
% 2.99/0.84    inference(forward_subsumption_resolution,[],[f412,f133])).
% 2.99/0.84  thf(f2245,plain,(
% 2.99/0.84    ($true = $false) | (~spl1_1 | ~spl1_4)),
% 2.99/0.84    inference(backward_demodulation,[],[f89,f2232])).
% 2.99/0.84  thf(f2246,plain,(
% 2.99/0.84    $false | (~spl1_1 | ~spl1_4)),
% 2.99/0.84    inference(trivial_inequality_removal,[],[f2245])).
% 2.99/0.84  thf(f2247,plain,(
% 2.99/0.84    ~spl1_1 | ~spl1_4),
% 2.99/0.84    inference(avatar_contradiction_clause,[],[f2246])).
% 2.99/0.84  thf(f2251,plain,(
% 2.99/0.84    ( ! [X0 : $i] : ((((join @ sK2 @ sK3 @ X0)) = $false)) ) | ~spl1_7),
% 2.99/0.84    inference(superposition,[],[f103,f133])).
% 2.99/0.84  thf(f4843,plain,(
% 2.99/0.84    ( ! [X0 : $i,X1 : $i] : ((((join @ sK2 @ X0 @ X1)) = $false)) ) | ~spl1_7),
% 2.99/0.84    inference(superposition,[],[f2251,f133])).
% 2.99/0.84  thf(f4876,plain,(
% 2.99/0.84    ( ! [X2 : $i,X1 : ($i > $i > $o)] : (((((^[Y0 : $i]: ((^[Y1 : $i]: (~ ((((~ (Y0 = Y1)) & (~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y5 @ Y4)) | (~ (Y2 @ Y4 @ Y3))) | (Y2 @ Y5 @ Y3))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y3 @ Y4)) | (Y2 @ Y3 @ Y4)))))))) | (Y2 @ Y0 @ Y1)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ Y1 @ Y0) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y4 @ Y5)) | (Y2 @ Y3 @ Y5)) | (~ (Y2 @ Y3 @ Y4))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) | (~ (X1 @ Y4 @ Y3))))))))))))) & (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y1 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((~ (Y3 @ Y5 @ Y6)) | (~ (Y3 @ Y4 @ Y5))) | (Y3 @ Y4 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) | (~ (X1 @ Y5 @ Y4)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((Y3 @ Y0 @ Y2) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y5 @ Y6) | (~ (Y3 @ Y5 @ Y4))) | (~ (Y3 @ Y4 @ Y6))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (X1 @ Y4 @ Y5)) | (Y3 @ Y4 @ Y5))))))))))))))))))) @ X2)) = ((join @ X1 @ X2)))) ) | ~spl1_2),
% 2.99/0.84    inference(argument_congruence,[],[f121])).
% 2.99/0.84  thf(f4877,plain,(
% 2.99/0.84    ( ! [X2 : $i,X1 : ($i > $i > $o)] : ((((join @ X1 @ X2)) = (^[Y0 : $i]: (~ ((((~ (X2 = Y0)) & (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y3)) | (~ (Y1 @ Y3 @ Y2))) | (Y1 @ Y4 @ Y2))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y2 @ Y3)) | (Y1 @ Y2 @ Y3)))))))) | (Y1 @ X2 @ Y0)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((Y1 @ Y0 @ X2) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y3 @ Y4)) | (Y1 @ Y2 @ Y4)) | (~ (Y1 @ Y2 @ Y3))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (X1 @ Y3 @ Y2))))))))))))) & (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ Y0 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y4 @ Y5)) | (~ (Y2 @ Y3 @ Y4))) | (Y2 @ Y3 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) | (~ (X1 @ Y4 @ Y3)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ X2 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y4 @ Y5) | (~ (Y2 @ Y4 @ Y3))) | (~ (Y2 @ Y3 @ Y5))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y3 @ Y4)) | (Y2 @ Y3 @ Y4))))))))))))))))))) ) | ~spl1_2),
% 2.99/0.84    inference(beta-eta_normalization,[],[f4876])).
% 2.99/0.84  thf(f4878,plain,(
% 2.99/0.84    ( ! [X2 : $i,X3 : $i,X1 : ($i > $i > $o)] : (((((^[Y0 : $i]: (~ ((((~ (X2 = Y0)) & (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y3)) | (~ (Y1 @ Y3 @ Y2))) | (Y1 @ Y4 @ Y2))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y2 @ Y3)) | (Y1 @ Y2 @ Y3)))))))) | (Y1 @ X2 @ Y0)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((Y1 @ Y0 @ X2) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y3 @ Y4)) | (Y1 @ Y2 @ Y4)) | (~ (Y1 @ Y2 @ Y3))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (X1 @ Y3 @ Y2))))))))))))) & (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ Y0 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y4 @ Y5)) | (~ (Y2 @ Y3 @ Y4))) | (Y2 @ Y3 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) | (~ (X1 @ Y4 @ Y3)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ X2 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y4 @ Y5) | (~ (Y2 @ Y4 @ Y3))) | (~ (Y2 @ Y3 @ Y5))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y3 @ Y4)) | (Y2 @ Y3 @ Y4))))))))))))))))) @ X3)) = ((join @ X1 @ X2 @ X3)))) ) | ~spl1_2),
% 2.99/0.84    inference(argument_congruence,[],[f4877])).
% 2.99/0.84  thf(f4880,plain,(
% 2.99/0.84    ( ! [X2 : $i,X3 : $i,X1 : ($i > $i > $o)] : (((((^[Y0 : $i]: (~ ((((~ (X2 = Y0)) & (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y4 @ Y3)) | (~ (Y1 @ Y3 @ Y2))) | (Y1 @ Y4 @ Y2))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y2 @ Y3)) | (Y1 @ Y2 @ Y3)))))))) | (Y1 @ X2 @ Y0)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((Y1 @ Y0 @ X2) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y3 @ Y4)) | (Y1 @ Y2 @ Y4)) | (~ (Y1 @ Y2 @ Y3))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (X1 @ Y3 @ Y2))))))))))))) & (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ Y0 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((~ (Y2 @ Y4 @ Y5)) | (~ (Y2 @ Y3 @ Y4))) | (Y2 @ Y3 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) | (~ (X1 @ Y4 @ Y3)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ X2 @ Y1) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y4 @ Y5) | (~ (Y2 @ Y4 @ Y3))) | (~ (Y2 @ Y3 @ Y5))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (X1 @ Y3 @ Y4)) | (Y2 @ Y3 @ Y4))))))))))))))))) @ X3)) = $false) | ($true = ((join @ X1 @ X2 @ X3)))) ) | ~spl1_2),
% 2.99/0.84    inference(iff_proxy_clausification,[],[f4878])).
% 2.99/0.84  thf(f4881,plain,(
% 2.99/0.84    ( ! [X2 : $i,X3 : $i,X1 : ($i > $i > $o)] : ((((~ ((((~ (X2 = X3)) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (~ (Y0 @ Y2 @ Y1))) | (Y0 @ Y3 @ Y1))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y1 @ Y2)) | (Y0 @ Y1 @ Y2)))))))) | (Y0 @ X2 @ X3)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ X3 @ X2) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y2 @ Y3)) | (Y0 @ Y1 @ Y3)) | (~ (Y0 @ Y1 @ Y2))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (~ (X1 @ Y2 @ Y1))))))))))))) & (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((Y1 @ X3 @ Y0) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y3 @ Y4)) | (~ (Y1 @ Y2 @ Y3))) | (Y1 @ Y2 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (X1 @ Y3 @ Y2)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((Y1 @ X2 @ Y0) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y3 @ Y4) | (~ (Y1 @ Y3 @ Y2))) | (~ (Y1 @ Y2 @ Y4))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y2 @ Y3)) | (Y1 @ Y2 @ Y3))))))))))))))))) = $false) | ($true = ((join @ X1 @ X2 @ X3)))) ) | ~spl1_2),
% 2.99/0.84    inference(beta-eta_normalization,[],[f4880])).
% 2.99/0.84  thf(f4882,plain,(
% 2.99/0.84    ( ! [X2 : $i,X3 : $i,X1 : ($i > $i > $o)] : (($true = ((join @ X1 @ X2 @ X3))) | ($true = (((((~ (X2 = X3)) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (~ (Y0 @ Y2 @ Y1))) | (Y0 @ Y3 @ Y1))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y1 @ Y2)) | (Y0 @ Y1 @ Y2)))))))) | (Y0 @ X2 @ X3)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ X3 @ X2) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y2 @ Y3)) | (Y0 @ Y1 @ Y3)) | (~ (Y0 @ Y1 @ Y2))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (~ (X1 @ Y2 @ Y1))))))))))))) & (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((Y1 @ X3 @ Y0) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((~ (Y1 @ Y3 @ Y4)) | (~ (Y1 @ Y2 @ Y3))) | (Y1 @ Y2 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (~ (X1 @ Y3 @ Y2)))))))))))) | (~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((Y1 @ X2 @ Y0) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y3 @ Y4) | (~ (Y1 @ Y3 @ Y2))) | (~ (Y1 @ Y2 @ Y4))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (X1 @ Y2 @ Y3)) | (Y1 @ Y2 @ Y3)))))))))))))))))) ) | ~spl1_2),
% 2.99/0.84    inference(not_proxy_clausification,[],[f4881])).
% 2.99/0.84  thf(f4884,plain,(
% 2.99/0.84    ( ! [X2 : $i,X3 : $i,X1 : ($i > $i > $o)] : (($true = ((join @ X1 @ X2 @ X3))) | ($true = ((((~ (X2 = X3)) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (~ (Y0 @ Y2 @ Y1))) | (Y0 @ Y3 @ Y1))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y1 @ Y2)) | (Y0 @ Y1 @ Y2)))))))) | (Y0 @ X2 @ X3)))))) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ X3 @ X2) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y2 @ Y3)) | (Y0 @ Y1 @ Y3)) | (~ (Y0 @ Y1 @ Y2))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (~ (X1 @ Y2 @ Y1)))))))))))))))) ) | ~spl1_2),
% 2.99/0.84    inference(and_proxy_clausification,[],[f4882])).
% 2.99/0.84  thf(f4886,plain,(
% 2.99/0.84    ( ! [X2 : $i,X3 : $i,X1 : ($i > $i > $o)] : (($true = ((join @ X1 @ X2 @ X3))) | ($true = (((~ (X2 = X3)) & (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((~ (Y0 @ Y3 @ Y2)) | (~ (Y0 @ Y2 @ Y1))) | (Y0 @ Y3 @ Y1))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (X1 @ Y1 @ Y2)) | (Y0 @ Y1 @ Y2)))))))) | (Y0 @ X2 @ X3))))))))) ) | ~spl1_2),
% 2.99/0.84    inference(and_proxy_clausification,[],[f4884])).
% 2.99/0.84  thf(f4888,plain,(
% 2.99/0.84    ( ! [X2 : $i,X3 : $i,X1 : ($i > $i > $o)] : (($true = ((~ (X2 = X3)))) | ($true = ((join @ X1 @ X2 @ X3)))) ) | ~spl1_2),
% 2.99/0.84    inference(and_proxy_clausification,[],[f4886])).
% 2.99/0.84  thf(f4889,plain,(
% 2.99/0.84    ( ! [X2 : $i,X3 : $i,X1 : ($i > $i > $o)] : (($true = ((join @ X1 @ X2 @ X3))) | (((X2 = X3)) = $false)) ) | ~spl1_2),
% 2.99/0.84    inference(not_proxy_clausification,[],[f4888])).
% 2.99/0.84  thf(f4890,plain,(
% 2.99/0.84    ( ! [X2 : $i,X3 : $i,X1 : ($i > $i > $o)] : ((X2 != X3) | ($true = ((join @ X1 @ X2 @ X3)))) ) | ~spl1_2),
% 2.99/0.84    inference(equality_proxy_clausification,[],[f4889])).
% 2.99/0.84  thf(f6682,plain,(
% 2.99/0.84    ( ! [X2 : $i,X3 : $i,X1 : ($i > $i > $o)] : (($true = ((join @ X1 @ X2 @ X3)))) ) | ~spl1_2),
% 2.99/0.84    inference(forward_subsumption_resolution,[],[f4890,f133])).
% 2.99/0.84  thf(f6711,plain,(
% 2.99/0.84    ($true = $false) | (~spl1_2 | ~spl1_7)),
% 2.99/0.84    inference(backward_demodulation,[],[f4843,f6682])).
% 2.99/0.84  thf(f6712,plain,(
% 2.99/0.84    $false | (~spl1_2 | ~spl1_7)),
% 2.99/0.84    inference(trivial_inequality_removal,[],[f6711])).
% 2.99/0.84  thf(f6713,plain,(
% 2.99/0.84    ~spl1_2 | ~spl1_7),
% 2.99/0.84    inference(avatar_contradiction_clause,[],[f6712])).
% 2.99/0.84  cnf(s1, plain, spl1_1, inference(sat_conversion,[],[f52])).
% 2.99/0.84  cnf(s2, plain, spl1_2, inference(sat_conversion,[],[f57])).
% 2.99/0.84  cnf(s3, plain, ~spl1_3, inference(sat_conversion,[],[f62])).
% 2.99/0.84  cnf(s6, plain, spl1_3 | spl1_4 | spl1_7, inference(sat_conversion,[],[f104])).
% 2.99/0.84  cnf(s31, plain, ~spl1_1 | ~spl1_4, inference(sat_conversion,[],[f2247])).
% 2.99/0.84  cnf(s108, plain, ~spl1_2 | ~spl1_7, inference(sat_conversion,[],[f6713])).
% 2.99/0.84  cnf(s109, plain, ~spl1_7, inference(rat,[],[s108,s2])).
% 2.99/0.84  cnf(s112, plain, spl1_4, inference(rat,[],[s6,s3,s109])).
% 2.99/0.84  cnf(s113, plain, ~spl1_1, inference(rat,[],[s31,s112])).
% 2.99/0.84  cnf(s116, plain, $false, inference(rat,[],[s1,s113])).
% 2.99/0.84  thf(f6714,plain,(
% 2.99/0.84    $false),
% 2.99/0.84    inference(avatar_sat_refutation,[],[s116])).
% 2.99/0.84  % SZS output end Proof for theBenchmark
% 2.99/0.84  % (798544)------------------------------
% 2.99/0.84  % (798544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.84  % (798544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.84  % (798544)CaDiCaL version: 2.1.3
% 2.99/0.84  % (798544)Termination reason: Refutation
% 2.99/0.84  % (798544)Time elapsed: 0.237 s
% 2.99/0.84  % (798544)Peak memory usage: 17 MB
% 2.99/0.84  % (798544)Instructions burned: 495 (million)
% 2.99/0.84  % (798456)Success in time 0.555 s
% 2.99/0.84  % Vampire exiting
%------------------------------------------------------------------------------