%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT229^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 07:48:35 AM UTC 2026
% Result : Theorem 1.21s 0.54s
% Output : Refutation 1.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT229^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n001.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Sep 29 18:18:51 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running higher-order theorem proving
% 0.23/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.50/0.42 % (1626783)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.50/0.42 % (1626791)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=3455556110: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)
% 0.50/0.42 % (1626794)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.50/0.42 % (1626794)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
% 0.50/0.42 % (1626788)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1235179733:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.50/0.42 % (1626792)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3950411593:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.50/0.42 % (1626790)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1495934913:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.50/0.42 % (1626793)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=861974998:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.50/0.42 % (1626794)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=640252404:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.50/0.42 % (1626789)lrs+10_16_si=on:nwc=1.5:random_seed=1786718544:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.50/0.42 % (1626790)Instruction limit reached!
% 0.50/0.42 % (1626790)------------------------------
% 0.50/0.42 % (1626790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (1626790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (1626790)CaDiCaL version: 2.1.3
% 0.50/0.42 % (1626790)Termination reason: Instruction limit
% 0.50/0.42 % (1626790)Termination phase: shuffling
% 0.50/0.42 % (1626790)Time elapsed: 0.002 s
% 0.50/0.42 % (1626790)Peak memory usage: 10 MB
% 0.50/0.42 % (1626790)Instructions burned: 4 (million)
% 0.50/0.42 % (1626792)Instruction limit reached!
% 0.50/0.42 % (1626792)------------------------------
% 0.50/0.42 % (1626792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (1626792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (1626792)CaDiCaL version: 2.1.3
% 0.50/0.42 % (1626792)Termination reason: Instruction limit
% 0.50/0.42 % (1626792)Termination phase: Property scanning
% 0.50/0.42 % (1626792)Time elapsed: 0.013 s
% 0.50/0.42 % (1626792)Peak memory usage: 10 MB
% 0.50/0.42 % (1626792)Instructions burned: 25 (million)
% 0.50/0.42 % (1626789)Instruction limit reached!
% 0.50/0.42 % (1626789)------------------------------
% 0.50/0.42 % (1626789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (1626789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (1626789)CaDiCaL version: 2.1.3
% 0.50/0.42 % (1626789)Termination reason: Instruction limit
% 0.50/0.42 % (1626789)Termination phase: shuffling
% 0.50/0.42 % (1626789)Time elapsed: 0.016 s
% 0.50/0.42 % (1626789)Peak memory usage: 10 MB
% 0.50/0.42 % (1626789)Instructions burned: 18 (million)
% 0.50/0.42 % (1626802)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2292449807:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.50/0.42 % (1626802)Instruction limit reached!
% 0.50/0.42 % (1626802)------------------------------
% 0.50/0.42 % (1626802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (1626802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (1626802)CaDiCaL version: 2.1.3
% 0.50/0.42 % (1626802)Termination reason: Instruction limit
% 0.50/0.42 % (1626802)Termination phase: shuffling
% 0.50/0.42 % (1626802)Time elapsed: 0.003 s
% 0.50/0.42 % (1626802)Peak memory usage: 10 MB
% 0.50/0.42 % (1626802)Instructions burned: 5 (million)
% 0.50/0.42 % (1626804)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.50/0.46 % (1626803)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=26995116:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.50/0.46 % (1626793)Instruction limit reached!
% 0.50/0.46 % (1626793)------------------------------
% 0.50/0.46 % (1626793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.46 % (1626793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.46 % (1626793)CaDiCaL version: 2.1.3
% 0.50/0.46 % (1626793)Termination reason: Instruction limit
% 0.50/0.46 % (1626793)Termination phase: Property scanning
% 0.50/0.46 % (1626793)Time elapsed: 0.037 s
% 0.50/0.46 % (1626793)Peak memory usage: 12 MB
% 0.50/0.46 % (1626793)Instructions burned: 75 (million)
% 0.50/0.46 % (1626804)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=872716447:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.50/0.46 % (1626803)Instruction limit reached!
% 0.50/0.46 % (1626803)------------------------------
% 0.50/0.46 % (1626803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.46 % (1626803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.46 % (1626803)CaDiCaL version: 2.1.3
% 0.50/0.46 % (1626803)Termination reason: Instruction limit
% 0.50/0.46 % (1626803)Termination phase: shuffling
% 0.50/0.46 % (1626803)Time elapsed: 0.003 s
% 0.50/0.46 % (1626803)Peak memory usage: 10 MB
% 0.50/0.46 % (1626803)Instructions burned: 13 (million)
% 0.50/0.46 % (1626788)Instruction limit reached!
% 0.50/0.46 % (1626788)------------------------------
% 0.50/0.46 % (1626788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.46 % (1626788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.46 % (1626788)CaDiCaL version: 2.1.3
% 0.50/0.46 % (1626788)Termination reason: Instruction limit
% 0.50/0.46 % (1626788)Termination phase: Property scanning
% 0.50/0.46 % (1626788)Time elapsed: 0.042 s
% 0.50/0.46 % (1626788)Peak memory usage: 12 MB
% 0.50/0.46 % (1626788)Instructions burned: 87 (million)
% 0.50/0.46 % (1626804)Instruction limit reached!
% 0.50/0.46 % (1626804)------------------------------
% 0.50/0.46 % (1626804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.46 % (1626804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.46 % (1626804)CaDiCaL version: 2.1.3
% 0.50/0.46 % (1626804)Termination reason: Instruction limit
% 0.50/0.46 % (1626804)Termination phase: shuffling
% 0.50/0.46 % (1626804)Time elapsed: 0.005 s
% 0.50/0.46 % (1626804)Peak memory usage: 10 MB
% 0.50/0.46 % (1626804)Instructions burned: 8 (million)
% 0.50/0.46 % (1626806)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=67014145:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.50/0.46 % (1626810)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=4015184900:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.50/0.46 % (1626806)Instruction limit reached!
% 0.50/0.46 % (1626806)------------------------------
% 0.50/0.46 % (1626806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.46 % (1626806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.46 % (1626806)CaDiCaL version: 2.1.3
% 0.50/0.46 % (1626806)Termination reason: Instruction limit
% 0.50/0.46 % (1626806)Termination phase: shuffling
% 0.50/0.46 % (1626806)Time elapsed: 0.007 s
% 0.50/0.46 % (1626806)Peak memory usage: 10 MB
% 0.50/0.46 % (1626806)Instructions burned: 14 (million)
% 0.50/0.46 % (1626809)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
% 0.50/0.46 % (1626809)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.50/0.46 % (1626812)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.50/0.46 % (1626809)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=808378158:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.21/0.48 % (1626811)lrs+10_1_si=on:cs=on:random_seed=4234739292:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.21/0.48 % (1626812)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=4243749115:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.21/0.48 % (1626811)Instruction limit reached!
% 1.21/0.48 % (1626811)------------------------------
% 1.21/0.48 % (1626811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.48 % (1626811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.48 % (1626811)CaDiCaL version: 2.1.3
% 1.21/0.48 % (1626811)Termination reason: Instruction limit
% 1.21/0.48 % (1626811)Termination phase: shuffling
% 1.21/0.48 % (1626811)Time elapsed: 0.004 s
% 1.21/0.48 % (1626811)Peak memory usage: 10 MB
% 1.21/0.48 % (1626811)Instructions burned: 8 (million)
% 1.21/0.48 % (1626812)Instruction limit reached!
% 1.21/0.48 % (1626812)------------------------------
% 1.21/0.48 % (1626812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.49 % (1626812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.49 % (1626812)CaDiCaL version: 2.1.3
% 1.21/0.49 % (1626812)Termination reason: Instruction limit
% 1.21/0.49 % (1626812)Termination phase: shuffling
% 1.21/0.49 % (1626812)Time elapsed: 0.004 s
% 1.21/0.49 % (1626812)Peak memory usage: 10 MB
% 1.21/0.49 % (1626812)Instructions burned: 7 (million)
% 1.21/0.49 % (1626810)Instruction limit reached!
% 1.21/0.49 % (1626810)------------------------------
% 1.21/0.49 % (1626810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.49 % (1626810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.49 % (1626810)CaDiCaL version: 2.1.3
% 1.21/0.49 % (1626810)Termination reason: Instruction limit
% 1.21/0.49 % (1626810)Termination phase: Preprocessing 1
% 1.21/0.49 % (1626810)Time elapsed: 0.021 s
% 1.21/0.49 % (1626810)Peak memory usage: 11 MB
% 1.21/0.49 % (1626810)Instructions burned: 89 (million)
% 1.21/0.49 % (1626815)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=851517656:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.21/0.49 % (1626809)Instruction limit reached!
% 1.21/0.49 % (1626809)------------------------------
% 1.21/0.49 % (1626809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.49 % (1626809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.49 % (1626809)CaDiCaL version: 2.1.3
% 1.21/0.49 % (1626809)Termination reason: Instruction limit
% 1.21/0.49 % (1626809)Termination phase: shuffling
% 1.21/0.49 % (1626809)Time elapsed: 0.014 s
% 1.21/0.49 % (1626809)Peak memory usage: 10 MB
% 1.21/0.49 % (1626809)Instructions burned: 29 (million)
% 1.21/0.49 % (1626821)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2057395474:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.21/0.49 % (1626794)Instruction limit reached!
% 1.21/0.49 % (1626794)------------------------------
% 1.21/0.49 % (1626794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.49 % (1626794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.49 % (1626794)CaDiCaL version: 2.1.3
% 1.21/0.49 % (1626794)Termination reason: Instruction limit
% 1.21/0.49 % (1626794)Termination phase: Saturation
% 1.21/0.49 % (1626794)Time elapsed: 0.083 s
% 1.21/0.49 % (1626794)Peak memory usage: 14 MB
% 1.21/0.49 % (1626794)Instructions burned: 158 (million)
% 1.21/0.49 % (1626821)Instruction limit reached!
% 1.21/0.49 % (1626821)------------------------------
% 1.21/0.49 % (1626821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.49 % (1626821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.49 % (1626821)CaDiCaL version: 2.1.3
% 1.21/0.49 % (1626819)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2114717447:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.21/0.49 % (1626821)Termination reason: Instruction limit
% 1.21/0.49 % (1626821)Termination phase: shuffling
% 1.21/0.49 % (1626821)Time elapsed: 0.004 s
% 1.21/0.49 % (1626821)Peak memory usage: 10 MB
% 1.21/0.49 % (1626821)Instructions burned: 15 (million)
% 1.21/0.49 % (1626820)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1993499325:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.21/0.53 % (1626815)Instruction limit reached!
% 1.21/0.53 % (1626815)------------------------------
% 1.21/0.53 % (1626815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.53 % (1626815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.53 % (1626815)CaDiCaL version: 2.1.3
% 1.21/0.53 % (1626815)Termination reason: Instruction limit
% 1.21/0.53 % (1626815)Termination phase: Naming
% 1.21/0.53 % (1626815)Time elapsed: 0.019 s
% 1.21/0.53 % (1626815)Peak memory usage: 11 MB
% 1.21/0.53 % (1626815)Instructions burned: 38 (million)
% 1.21/0.53 % (1626823)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3112371549:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.21/0.53 % (1626820)Instruction limit reached!
% 1.21/0.53 % (1626820)------------------------------
% 1.21/0.53 % (1626820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.53 % (1626820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.53 % (1626820)CaDiCaL version: 2.1.3
% 1.21/0.53 % (1626820)Termination reason: Instruction limit
% 1.21/0.53 % (1626820)Termination phase: Property scanning
% 1.21/0.53 % (1626820)Time elapsed: 0.012 s
% 1.21/0.53 % (1626820)Peak memory usage: 10 MB
% 1.21/0.53 % (1626820)Instructions burned: 26 (million)
% 1.21/0.53 % (1626825)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2036247997:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.21/0.53 % (1626831)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3172277379:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.21/0.53 % (1626829)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2096734508:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.21/0.53 % (1626825)Instruction limit reached!
% 1.21/0.53 % (1626825)------------------------------
% 1.21/0.53 % (1626825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.53 % (1626825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.53 % (1626825)CaDiCaL version: 2.1.3
% 1.21/0.53 % (1626825)Termination reason: Instruction limit
% 1.21/0.53 % (1626825)Termination phase: shuffling
% 1.21/0.53 % (1626825)Time elapsed: 0.008 s
% 1.21/0.53 % (1626825)Peak memory usage: 10 MB
% 1.21/0.53 % (1626825)Instructions burned: 15 (million)
% 1.21/0.53 % (1626819)Refutation not found, incomplete strategy
% 1.21/0.53 % (1626819)------------------------------
% 1.21/0.53 % (1626819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.53 % (1626819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.53 % (1626819)CaDiCaL version: 2.1.3
% 1.21/0.53 % (1626819)Termination reason: Refutation not found, incomplete strategy
% 1.21/0.53 % (1626819)Time elapsed: 0.029 s
% 1.21/0.53 % (1626819)Peak memory usage: 13 MB
% 1.21/0.53 % (1626819)Instructions burned: 59 (million)
% 1.21/0.53 % (1626819)------------------------------
% 1.21/0.53 % (1626819)------------------------------
% 1.21/0.53 % (1626831)Instruction limit reached!
% 1.21/0.53 % (1626831)------------------------------
% 1.21/0.53 % (1626831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.53 % (1626831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.53 % (1626828)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2582061407: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)
% 1.21/0.53 % (1626831)CaDiCaL version: 2.1.3
% 1.21/0.53 % (1626831)Termination reason: Instruction limit
% 1.21/0.53 % (1626831)Termination phase: Property scanning
% 1.21/0.53 % (1626831)Time elapsed: 0.007 s
% 1.21/0.53 % (1626831)Peak memory usage: 11 MB
% 1.21/0.53 % (1626831)Instructions burned: 25 (million)
% 1.21/0.53 % (1626828)Instruction limit reached!
% 1.21/0.53 % (1626828)------------------------------
% 1.21/0.53 % (1626828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.53 % (1626828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.53 % (1626828)CaDiCaL version: 2.1.3
% 1.21/0.53 % (1626828)Termination reason: Instruction limit
% 1.21/0.53 % (1626828)Termination phase: shuffling
% 1.21/0.54 % (1626828)Time elapsed: 0.003 s
% 1.21/0.54 % (1626828)Peak memory usage: 10 MB
% 1.21/0.54 % (1626828)Instructions burned: 3 (million)
% 1.21/0.54 % (1626829)Instruction limit reached!
% 1.21/0.54 % (1626829)------------------------------
% 1.21/0.54 % (1626829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.54 % (1626829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.54 % (1626829)CaDiCaL version: 2.1.3
% 1.21/0.54 % (1626829)Termination reason: Instruction limit
% 1.21/0.54 % (1626829)Termination phase: shuffling
% 1.21/0.54 % (1626829)Time elapsed: 0.014 s
% 1.21/0.54 % (1626829)Peak memory usage: 10 MB
% 1.21/0.54 % (1626829)Instructions burned: 29 (million)
% 1.21/0.54 % (1626837)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
% 1.21/0.54 % (1626837)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.21/0.54 % (1626837)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=2247353340:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.21/0.54 % (1626835)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=687877619:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.21/0.54 % (1626837)Instruction limit reached!
% 1.21/0.54 % (1626837)------------------------------
% 1.21/0.54 % (1626837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.54 % (1626837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.54 % (1626837)CaDiCaL version: 2.1.3
% 1.21/0.54 % (1626837)Termination reason: Instruction limit
% 1.21/0.54 % (1626837)Termination phase: shuffling
% 1.21/0.54 % (1626837)Time elapsed: 0.004 s
% 1.21/0.54 % (1626837)Peak memory usage: 10 MB
% 1.21/0.54 % (1626837)Instructions burned: 17 (million)
% 1.21/0.54 % (1626838)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.21/0.54 % (1626838)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=2084899691:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.21/0.54 % (1626843)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2623657651:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.21/0.54 % (1626840)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=442666822:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.21/0.54 % (1626839)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=2427069241:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.21/0.54 % (1626838)Instruction limit reached!
% 1.21/0.54 % (1626838)------------------------------
% 1.21/0.54 % (1626838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.54 % (1626838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.54 % (1626838)CaDiCaL version: 2.1.3
% 1.21/0.54 % (1626838)Termination reason: Instruction limit
% 1.21/0.54 % (1626838)Termination phase: shuffling
% 1.21/0.54 % (1626838)Time elapsed: 0.004 s
% 1.21/0.54 % (1626838)Peak memory usage: 10 MB
% 1.21/0.54 % (1626838)Instructions burned: 8 (million)
% 1.21/0.54 % (1626840)Instruction limit reached!
% 1.21/0.54 % (1626840)------------------------------
% 1.21/0.54 % (1626840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.54 % (1626840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.54 % (1626840)CaDiCaL version: 2.1.3
% 1.21/0.54 % (1626840)Termination reason: Instruction limit
% 1.21/0.54 % (1626840)Termination phase: shuffling
% 1.21/0.54 % (1626840)Time elapsed: 0.004 s
% 1.21/0.54 % (1626840)Peak memory usage: 10 MB
% 1.21/0.54 % (1626840)Instructions burned: 8 (million)
% 1.21/0.54 % (1626843)Instruction limit reached!
% 1.21/0.54 % (1626843)------------------------------
% 1.21/0.54 % (1626843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.54 % (1626843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.54 % (1626843)CaDiCaL version: 2.1.3
% 1.21/0.54 % (1626843)Termination reason: Instruction limit
% 1.21/0.54 % (1626843)Termination phase: shuffling
% 1.21/0.54 % (1626843)Time elapsed: 0.007 s
% 1.21/0.54 % (1626843)Peak memory usage: 10 MB
% 1.21/0.54 % (1626843)Instructions burned: 27 (million)
% 1.21/0.54 % (1626839)Instruction limit reached!
% 1.21/0.54 % (1626839)------------------------------
% 1.21/0.54 % (1626839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.54 % (1626839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.54 % (1626839)CaDiCaL version: 2.1.3
% 1.21/0.54 % (1626839)Termination reason: Instruction limit
% 1.21/0.54 % (1626839)Termination phase: shuffling
% 1.21/0.54 % (1626839)Time elapsed: 0.015 s
% 1.21/0.54 % (1626850)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2164823983:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.21/0.54 % (1626839)Peak memory usage: 10 MB
% 1.21/0.54 % (1626839)Instructions burned: 33 (million)
% 1.21/0.54 % (1626835)Instruction limit reached!
% 1.21/0.54 % (1626835)------------------------------
% 1.21/0.54 % (1626835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.54 % (1626835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.54 % (1626835)CaDiCaL version: 2.1.3
% 1.21/0.54 % (1626835)Termination reason: Instruction limit
% 1.21/0.54 % (1626835)Termination phase: Preprocessing 3
% 1.21/0.54 % (1626835)Time elapsed: 0.029 s
% 1.21/0.54 % (1626835)Peak memory usage: 11 MB
% 1.21/0.54 % (1626835)Instructions burned: 60 (million)
% 1.21/0.54 % (1626848)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=377564495:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.21/0.54 % (1626849)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1924317670:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.21/0.54 % (1626848)Instruction limit reached!
% 1.21/0.54 % (1626848)------------------------------
% 1.21/0.54 % (1626848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.54 % (1626848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.54 % (1626848)CaDiCaL version: 2.1.3
% 1.21/0.54 % (1626848)Termination reason: Instruction limit
% 1.21/0.54 % (1626848)Termination phase: Property scanning
% 1.21/0.54 % (1626848)Time elapsed: 0.010 s
% 1.21/0.54 % (1626848)Peak memory usage: 10 MB
% 1.21/0.54 % (1626848)Instructions burned: 21 (million)
% 1.21/0.54 % (1626852)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1946125675:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.21/0.54 % (1626853)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4179915929:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.21/0.54 % (1626856)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.21/0.54 % (1626856)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3835243359:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.21/0.54 % (1626850)Instruction limit reached!
% 1.21/0.54 % (1626850)------------------------------
% 1.21/0.54 % (1626850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.54 % (1626850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.54 % (1626850)CaDiCaL version: 2.1.3
% 1.21/0.54 % (1626850)Termination reason: Instruction limit
% 1.21/0.54 % (1626850)Termination phase: Saturation
% 1.21/0.54 % (1626850)Time elapsed: 0.035 s
% 1.21/0.54 % (1626850)Peak memory usage: 13 MB
% 1.21/0.54 % (1626850)Instructions burned: 144 (million)
% 1.21/0.54 % (1626856)Instruction limit reached!
% 1.21/0.54 % (1626856)------------------------------
% 1.21/0.54 % (1626856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.54 % (1626856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.54 % (1626856)CaDiCaL version: 2.1.3
% 1.21/0.54 % (1626856)Termination reason: Instruction limit
% 1.21/0.54 % (1626856)Termination phase: shuffling
% 1.21/0.54 % (1626856)Time elapsed: 0.004 s
% 1.21/0.54 % (1626856)Peak memory usage: 10 MB
% 1.21/0.54 % (1626856)Instructions burned: 8 (million)
% 1.21/0.54 % (1626823) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1626783-1626823"...
% 1.21/0.54 % (1626853)Instruction limit reached!
% 1.21/0.54 % (1626853)------------------------------
% 1.21/0.54 % (1626853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.54 % (1626853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.54 % (1626853)CaDiCaL version: 2.1.3
% 1.21/0.54 % (1626853)Termination reason: Instruction limit
% 1.21/0.54 % (1626853)Termination phase: Preprocessing 3
% 1.21/0.54 % (1626853)Time elapsed: 0.020 s
% 1.21/0.54 % (1626853)Peak memory usage: 11 MB
% 1.21/0.54 % (1626853)Instructions burned: 43 (million)
% 1.21/0.54 % (1626823)...printing done.
% 1.21/0.54 % (1626823)Refutation found. Thanks to Tanya!
% 1.21/0.54 % SZS status Theorem for theBenchmark
% 1.21/0.54 % SZS output start Proof for theBenchmark
% 1.21/0.54 thf(type_def_5, type, rBT_Im1923302023_color: $tType).
% 1.21/0.54 thf(type_def_6, type, rBT_Im246033960le_rbt: ($tType * $tType) > $tType).
% 1.21/0.54 thf(type_def_7, type, set: $tType > $tType).
% 1.21/0.54 thf(type_def_8, type, nat: $tType).
% 1.21/0.54 thf(type_def_9, type, itself: $tType > $tType).
% 1.21/0.54 thf(type_def_10, type, b: $tType).
% 1.21/0.54 thf(type_def_11, type, a: $tType).
% 1.21/0.54 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 1.21/0.54 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.21/0.54 thf(func_def_1, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.21/0.54 thf(func_def_2, type, bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.21/0.54 thf(func_def_3, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.21/0.54 thf(func_def_4, type, order_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.21/0.54 thf(func_def_5, type, bounded_lattice_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.21/0.54 thf(func_def_6, type, bounde1808546759up_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.21/0.54 thf(func_def_7, type, bNF_id_bnf: !>[X0: $tType]:((X0 > X0))).
% 1.21/0.54 thf(func_def_8, type, bNF_eq_onp: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > $o))).
% 1.21/0.54 thf(func_def_9, type, bNF_vimage2p: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X0 > X1) > (X2 > X3) > (X1 > X3 > X4) > X0 > X2 > X4))).
% 1.21/0.54 thf(func_def_10, type, finite_finite: !>[X0: $tType]:((set @ X0 > $o))).
% 1.21/0.54 thf(func_def_11, type, bij_betw: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1 > $o))).
% 1.21/0.54 thf(func_def_12, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 1.21/0.54 thf(func_def_13, type, map_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > (X1 > X2) > X0 > X3))).
% 1.21/0.54 thf(func_def_14, type, override_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > set @ X0 > X0 > X1))).
% 1.21/0.54 thf(func_def_15, type, comm_monoid: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 1.21/0.54 thf(func_def_16, type, monoid: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 1.21/0.54 thf(func_def_17, type, zero_zero: !>[X0: $tType]:(X0)).
% 1.21/0.54 thf(func_def_18, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.21/0.54 thf(func_def_19, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.21/0.54 thf(func_def_20, type, semilattice_neutr: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 1.21/0.54 thf(func_def_21, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.21/0.54 thf(func_def_22, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 1.21/0.54 thf(func_def_23, type, bot_bot: !>[X0: $tType]:(X0)).
% 1.21/0.54 thf(func_def_24, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.21/0.54 thf(func_def_25, type, type2: !>[X0: $tType]:(itself @ X0)).
% 1.21/0.54 thf(func_def_26, type, rBT_Impl_Mirabelle_B: rBT_Im1923302023_color).
% 1.21/0.54 thf(func_def_27, type, rBT_Impl_Mirabelle_R: rBT_Im1923302023_color).
% 1.21/0.54 thf(func_def_28, type, rBT_Im1975547051_color: !>[X0: $tType]:((X0 > X0 > rBT_Im1923302023_color > X0))).
% 1.21/0.54 thf(func_def_29, type, rBT_Im1059957627_color: !>[X0: $tType]:((X0 > X0 > rBT_Im1923302023_color > X0))).
% 1.21/0.54 thf(func_def_30, type, rBT_Im800559290_color: (rBT_Im1923302023_color > nat)).
% 1.21/0.54 thf(func_def_31, type, rBT_Im480247531Branch: !>[X0: $tType, X1: $tType]:((rBT_Im1923302023_color > rBT_Im246033960le_rbt @ X0 @ X1 > X0 > X1 > rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 1.21/0.54 thf(func_def_32, type, rBT_Im418718756_Empty: !>[X0: $tType, X1: $tType]:(rBT_Im246033960le_rbt @ X0 @ X1)).
% 1.21/0.54 thf(func_def_33, type, rBT_Im858806507se_rbt: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (rBT_Im1923302023_color > rBT_Im246033960le_rbt @ X1 @ X2 > X1 > X2 > rBT_Im246033960le_rbt @ X1 @ X2 > X0) > rBT_Im246033960le_rbt @ X1 @ X2 > X0))).
% 1.21/0.54 thf(func_def_34, type, rBT_Im206295089ap_rbt: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > rBT_Im246033960le_rbt @ X0 @ X2 > rBT_Im246033960le_rbt @ X1 @ X3))).
% 1.21/0.54 thf(func_def_35, type, rBT_Im1931894874ed_rbt: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 1.21/0.54 thf(func_def_36, type, rBT_Im1947144893ec_rbt: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (rBT_Im1923302023_color > rBT_Im246033960le_rbt @ X1 @ X2 > X1 > X2 > rBT_Im246033960le_rbt @ X1 @ X2 > X0 > X0 > X0) > rBT_Im246033960le_rbt @ X1 @ X2 > X0))).
% 1.21/0.54 thf(func_def_37, type, rBT_Im1000242676el_rbt: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (X2 > X3 > $o) > rBT_Im246033960le_rbt @ X0 @ X2 > rBT_Im246033960le_rbt @ X1 @ X3 > $o))).
% 1.21/0.54 thf(func_def_38, type, rBT_Im1178217900t1_rbt: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > set @ X0))).
% 1.21/0.54 thf(func_def_39, type, rBT_Im1550225131t2_rbt: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > set @ X1))).
% 1.21/0.54 thf(func_def_40, type, rBT_Im1485196410ze_rbt: !>[X0: $tType, X1: $tType]:(((X0 > nat) > (X1 > nat) > rBT_Im246033960le_rbt @ X0 @ X1 > nat))).
% 1.21/0.54 thf(func_def_41, type, ball: !>[X0: $tType]:((set @ X0 > (X0 > $o) > $o))).
% 1.21/0.54 thf(func_def_42, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.21/0.54 thf(func_def_43, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 1.21/0.54 thf(func_def_44, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 1.21/0.54 thf(func_def_45, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 1.21/0.54 thf(func_def_46, type, pairwise: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 1.21/0.54 thf(func_def_47, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 1.21/0.54 thf(func_def_48, type, vimage: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X1 > set @ X0))).
% 1.21/0.54 thf(func_def_49, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.21/0.54 thf(func_def_50, type, t: rBT_Im246033960le_rbt @ a @ b).
% 1.21/0.54 thf(func_def_51, type, thesis: $o).
% 1.21/0.54 thf(func_def_55, type, db1: !>[X0: $tType]:(X0)).
% 1.21/0.54 thf(func_def_56, type, db0: !>[X0: $tType]:(X0)).
% 1.21/0.54 thf(func_def_57, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.21/0.54 thf(func_def_58, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.21/0.54 thf(func_def_59, type, vAND: ($o > $o > $o)).
% 1.21/0.54 thf(func_def_60, type, vNOT: ($o > $o)).
% 1.21/0.54 thf(func_def_61, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.21/0.54 thf(func_def_62, type, vIMP: ($o > $o > $o)).
% 1.21/0.54 thf(func_def_63, type, db2: !>[X0: $tType]:(X0)).
% 1.21/0.54 thf(func_def_64, type, db3: !>[X0: $tType]:(X0)).
% 1.21/0.54 thf(func_def_65, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.21/0.54 thf(func_def_66, type, vOR: ($o > $o > $o)).
% 1.21/0.54 thf(func_def_67, type, sP0: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rBT_Im246033960le_rbt @ X0 @ X3 > rBT_Im246033960le_rbt @ X1 @ X2 > (X1 > X0 > $o) > (X1 > X0 > $o) > $o))).
% 1.21/0.54 thf(func_def_68, type, sP1: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > (X0 > $o) > (X0 > $o) > $o))).
% 1.21/0.54 thf(func_def_69, type, sP2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rBT_Im246033960le_rbt @ X1 @ X3 > rBT_Im246033960le_rbt @ X0 @ X2 > (X1 > X0 > $o) > (X1 > X0 > $o) > $o))).
% 1.21/0.54 thf(func_def_70, type, sP3: !>[X0: $tType, X1: $tType, X2: $tType]:((rBT_Im246033960le_rbt @ X2 @ X1 > rBT_Im246033960le_rbt @ X2 @ X1 > (X1 > X0) > (X1 > X0) > $o))).
% 1.21/0.54 thf(func_def_71, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > rBT_Im246033960le_rbt @ X2 @ X0 > (X0 > X1) > X0))).
% 1.21/0.54 thf(func_def_72, type, sK5: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > rBT_Im246033960le_rbt @ X2 @ X0 > (X2 > X1) > X2))).
% 1.21/0.54 thf(func_def_73, type, sK6: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0))).
% 1.21/0.54 thf(func_def_74, type, sK7: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > X1))).
% 1.21/0.54 thf(func_def_75, type, sK8: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > X0))).
% 1.21/0.54 thf(func_def_76, type, sK9: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im1923302023_color))).
% 1.21/0.54 thf(func_def_77, type, sK10: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0))).
% 1.21/0.54 thf(func_def_78, type, sK11: !>[X0: $tType, X1: $tType]:(((X0 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.54 thf(func_def_79, type, sK12: !>[X0: $tType, X1: $tType]:(((X1 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.54 thf(func_def_80, type, sK13: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 1.21/0.54 thf(func_def_81, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rBT_Im246033960le_rbt @ X0 @ X3 > rBT_Im246033960le_rbt @ X1 @ X2 > (X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 1.21/0.54 thf(func_def_82, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rBT_Im246033960le_rbt @ X0 @ X3 > rBT_Im246033960le_rbt @ X1 @ X2 > (X1 > X0 > $o) > (X1 > X0 > $o) > X1))).
% 1.21/0.54 thf(func_def_83, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rBT_Im246033960le_rbt @ X3 @ X1 > rBT_Im246033960le_rbt @ X2 @ X0 > (X1 > X0 > $o) > (X1 > X0 > $o) > X1))).
% 1.21/0.54 thf(func_def_84, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rBT_Im246033960le_rbt @ X3 @ X1 > rBT_Im246033960le_rbt @ X2 @ X0 > (X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 1.21/0.54 thf(func_def_85, type, sK18: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X1 > X1))).
% 1.21/0.54 thf(func_def_86, type, sK19: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X1 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 1.21/0.54 thf(func_def_87, type, sK20: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X1 > X0))).
% 1.21/0.54 thf(func_def_88, type, sK21: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X1 > rBT_Im1923302023_color))).
% 1.21/0.54 thf(func_def_89, type, sK22: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X1 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 1.21/0.54 thf(func_def_90, type, sK23: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X1 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 1.21/0.54 thf(func_def_91, type, sK24: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X1 > rBT_Im1923302023_color))).
% 1.21/0.54 thf(func_def_92, type, sK25: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X1 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 1.21/0.54 thf(func_def_93, type, sK26: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X1 > X0))).
% 1.21/0.54 thf(func_def_94, type, sK27: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X1 > rBT_Im1923302023_color))).
% 1.21/0.54 thf(func_def_95, type, sK28: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X1 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 1.21/0.54 thf(func_def_96, type, sK29: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X1 > X1))).
% 1.21/0.54 thf(func_def_97, type, sK30: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X1 > X0))).
% 1.21/0.54 thf(func_def_98, type, sK31: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X1 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 1.21/0.54 thf(func_def_99, type, sK32: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.21/0.54 thf(func_def_100, type, sK33: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.21/0.54 thf(func_def_101, type, sK34: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 1.21/0.54 thf(func_def_102, type, sK35: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 1.21/0.54 thf(func_def_103, type, sK36: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.21/0.54 thf(func_def_104, type, sK37: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > $o) > rBT_Im246033960le_rbt @ X1 @ X0 > X1))).
% 1.21/0.54 thf(func_def_105, type, sK38: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 1.21/0.54 thf(func_def_106, type, sK39: !>[X0: $tType]:((set @ X0 > X0))).
% 1.21/0.54 thf(func_def_107, type, sK40: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 1.21/0.54 thf(func_def_108, type, sK41: !>[X0: $tType]:(((X0 > $o) > set @ X0 > (X0 > $o) > X0))).
% 1.21/0.54 thf(func_def_109, type, sK42: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > (X0 > $o) > X1))).
% 1.21/0.54 thf(func_def_110, type, sK43: !>[X0: $tType]:((set @ X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.21/0.54 thf(func_def_111, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rBT_Im246033960le_rbt @ X1 @ X3 > rBT_Im246033960le_rbt @ X0 @ X2 > (X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 1.21/0.54 thf(func_def_112, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rBT_Im246033960le_rbt @ X1 @ X3 > rBT_Im246033960le_rbt @ X0 @ X2 > (X1 > X0 > $o) > (X1 > X0 > $o) > X1))).
% 1.21/0.54 thf(func_def_113, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X2 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > X2 > $o) > rBT_Im246033960le_rbt @ X3 @ X2 > X2))).
% 1.21/0.54 thf(func_def_114, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X2 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > X2 > $o) > rBT_Im246033960le_rbt @ X3 @ X2 > X1))).
% 1.21/0.54 thf(func_def_115, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > (X0 > X2) > rBT_Im246033960le_rbt @ X0 @ X1 > X0))).
% 1.21/0.54 thf(func_def_116, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > (X2 > X0) > rBT_Im246033960le_rbt @ X1 @ X2 > X2))).
% 1.21/0.54 thf(func_def_117, type, sK50: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X0 @ X1 > $o) > X0))).
% 1.21/0.54 thf(func_def_118, type, sK51: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X0 @ X1 > $o) > X1))).
% 1.21/0.54 thf(func_def_119, type, sK52: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X0 @ X1 > $o) > rBT_Im1923302023_color))).
% 1.21/0.54 thf(func_def_120, type, sK53: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X0 @ X1 > $o) > rBT_Im246033960le_rbt @ X0 @ X1))).
% 1.21/0.54 thf(func_def_121, type, sK54: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X0 @ X1 > $o) > rBT_Im246033960le_rbt @ X0 @ X1))).
% 1.21/0.54 thf(func_def_122, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType]:((rBT_Im246033960le_rbt @ X2 @ X1 > rBT_Im246033960le_rbt @ X2 @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 1.21/0.54 thf(func_def_123, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType]:((rBT_Im246033960le_rbt @ X2 @ X1 > rBT_Im246033960le_rbt @ X2 @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 1.21/0.54 thf(func_def_124, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType]:((rBT_Im246033960le_rbt @ X0 @ X2 > rBT_Im246033960le_rbt @ X0 @ X2 > (X0 > X1) > (X0 > X1) > X0))).
% 1.21/0.54 thf(func_def_125, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType]:((rBT_Im246033960le_rbt @ X0 @ X2 > rBT_Im246033960le_rbt @ X0 @ X2 > (X0 > X1) > (X0 > X1) > X0))).
% 1.21/0.54 thf(func_def_126, type, sK59: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 1.21/0.54 thf(func_def_127, type, sK60: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > X1 > $o) > X1))).
% 1.21/0.54 thf(func_def_128, type, sK61: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > X0 > $o) > X0))).
% 1.21/0.54 thf(func_def_129, type, sK62: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X0 > rBT_Im1923302023_color))).
% 1.21/0.54 thf(func_def_130, type, sK63: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X0 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 1.21/0.54 thf(func_def_131, type, sK64: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X0 > X0))).
% 1.21/0.54 thf(func_def_132, type, sK65: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X0 > X1))).
% 1.21/0.54 thf(func_def_133, type, sK66: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X0 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 1.21/0.54 thf(func_def_134, type, sK67: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X0 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 1.21/0.54 thf(func_def_135, type, sK68: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X0 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 1.21/0.54 thf(func_def_136, type, sK69: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X0 > rBT_Im1923302023_color))).
% 1.21/0.54 thf(func_def_137, type, sK70: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X0 > X1))).
% 1.21/0.54 thf(func_def_138, type, sK71: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X0 > rBT_Im1923302023_color))).
% 1.21/0.54 thf(func_def_139, type, sK72: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X0 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 1.21/0.54 thf(func_def_140, type, sK73: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X0 > X0))).
% 1.21/0.54 thf(func_def_141, type, sK74: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X0 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 1.21/0.54 thf(func_def_142, type, sK75: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X0 > X1))).
% 1.21/0.54 thf(func_def_143, type, sK76: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 1.21/0.54 thf(func_def_144, type, sK77: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.54 thf(func_def_145, type, sK78: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.54 thf(func_def_146, type, sK79: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.54 thf(func_def_147, type, sK80: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.54 thf(func_def_148, type, sK81: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.54 thf(func_def_149, type, sK82: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.54 thf(func_def_150, type, sK83: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_151, type, sK84: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_152, type, sK85: !>[X0: $tType]:((set @ X0 > X0))).
% 1.21/0.55 thf(func_def_153, type, sK86: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_154, type, sK87: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_155, type, sK88: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_156, type, sK89: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_157, type, sK90: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_158, type, sK91: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_159, type, sK92: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_160, type, sK93: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_161, type, sK94: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_162, type, sK95: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_163, type, sK96: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_164, type, sK97: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_165, type, sK98: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_166, type, sK99: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_167, type, sK100: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_168, type, sK101: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 1.21/0.55 thf(func_def_169, type, sK102: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 1.21/0.55 thf(func_def_170, type, sK103: !>[X0: $tType]:(((X0 > $o) > set @ X0 > set @ X0 > X0))).
% 1.21/0.55 thf(func_def_171, type, sK104: !>[X0: $tType]:(((X0 > $o) > set @ X0 > set @ X0 > X0))).
% 1.21/0.55 thf(func_def_172, type, sK105: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_173, type, sK106: !>[X0: $tType]:((set @ X0 > X0 > X0 > set @ X0 > set @ X0))).
% 1.21/0.55 thf(func_def_174, type, sK107: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_175, type, sK108: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_176, type, sK109: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_177, type, sK110: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_178, type, sK111: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_179, type, sK112: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_180, type, sK113: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_181, type, sK114: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_182, type, sK115: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_183, type, sK116: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_184, type, sK117: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_185, type, sK118: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_186, type, sK119: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_187, type, sK120: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_188, type, sK121: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_189, type, sK122: !>[X0: $tType]:((set @ X0 > X0))).
% 1.21/0.55 thf(func_def_190, type, sK123: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 1.21/0.55 thf(func_def_191, type, sK124: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 1.21/0.55 thf(func_def_192, type, sK125: !>[X0: $tType, X1: $tType]:(((X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0 > X0))).
% 1.21/0.55 thf(func_def_193, type, sK126: !>[X0: $tType, X1: $tType]:(((X1 > $o) > rBT_Im246033960le_rbt @ X1 @ X0 > X1))).
% 1.21/0.55 thf(func_def_194, type, sK127: !>[X0: $tType, X1: $tType]:(((X1 > $o) > rBT_Im246033960le_rbt @ X1 @ X0 > X1))).
% 1.21/0.55 thf(func_def_195, type, sK128: !>[X0: $tType, X1: $tType]:(((X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0 > X0))).
% 1.21/0.55 thf(func_def_196, type, sK129: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_197, type, sK130: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_198, type, sK131: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_199, type, sK132: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_200, type, sK133: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_201, type, sK134: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_202, type, sK135: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_203, type, sK136: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_204, type, sK137: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_205, type, sK138: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_206, type, sK139: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_207, type, sK140: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_208, type, sK141: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_209, type, sK142: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_210, type, sK143: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_211, type, sK144: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_212, type, sK145: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_213, type, sK146: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_214, type, sK147: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_215, type, sK148: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_216, type, sK149: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_217, type, sK150: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_218, type, sK151: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_219, type, sK152: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_220, type, sK153: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_221, type, sK154: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_222, type, sK155: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_223, type, sK156: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_224, type, sK157: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_225, type, sK158: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_226, type, sK159: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_227, type, sK160: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_228, type, sK161: !>[X0: $tType, X1: $tType]:((X1 > rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im1923302023_color > X0 > (X0 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > X0))).
% 1.21/0.55 thf(func_def_229, type, sK162: !>[X0: $tType, X1: $tType]:((X1 > (X1 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im1923302023_color > X0 > rBT_Im246033960le_rbt @ X0 @ X1 > X1))).
% 1.21/0.55 thf(func_def_230, type, sK163: !>[X0: $tType, X1: $tType]:((X1 > (X1 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im1923302023_color > X0 > rBT_Im246033960le_rbt @ X0 @ X1 > X1))).
% 1.21/0.55 thf(func_def_231, type, sK164: !>[X0: $tType, X1: $tType]:((X1 > rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im1923302023_color > X0 > (X0 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > X0))).
% 1.21/0.55 thf(func_def_232, type, sK165: !>[X0: $tType, X1: $tType]:((X1 > rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im1923302023_color > X0 > (X0 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > X0))).
% 1.21/0.55 thf(func_def_233, type, sK166: !>[X0: $tType, X1: $tType]:((X1 > (X1 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im1923302023_color > X0 > rBT_Im246033960le_rbt @ X0 @ X1 > X1))).
% 1.21/0.55 thf(func_def_234, type, sK167: !>[X0: $tType, X1: $tType]:((X1 > (X1 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im1923302023_color > X0 > rBT_Im246033960le_rbt @ X0 @ X1 > X1))).
% 1.21/0.55 thf(func_def_235, type, sK168: !>[X0: $tType, X1: $tType]:((X1 > rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im1923302023_color > X0 > (X0 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > X0))).
% 1.21/0.55 thf(func_def_236, type, sK169: !>[X0: $tType, X1: $tType]:((X1 > (X1 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im1923302023_color > X0 > rBT_Im246033960le_rbt @ X0 @ X1 > X1))).
% 1.21/0.55 thf(func_def_237, type, sK170: !>[X0: $tType, X1: $tType]:((X1 > rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im1923302023_color > X0 > (X0 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > X0))).
% 1.21/0.55 thf(func_def_238, type, sK171: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_239, type, sK172: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_240, type, sK173: !>[X0: $tType, X1: $tType]:(((X0 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > X0))).
% 1.21/0.55 thf(func_def_241, type, sK174: !>[X0: $tType, X1: $tType]:(((X1 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > X1))).
% 1.21/0.55 thf(func_def_242, type, sK175: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X1 > $o) > X1))).
% 1.21/0.55 thf(func_def_243, type, sK176: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > $o) > X0))).
% 1.21/0.55 thf(func_def_244, type, sK177: !>[X0: $tType, X1: $tType]:(((X0 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > X0))).
% 1.21/0.55 thf(func_def_245, type, sK178: !>[X0: $tType, X1: $tType]:(((X1 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > X1))).
% 1.21/0.55 thf(func_def_246, type, sK179: !>[X0: $tType, X1: $tType]:(((X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0 > X0))).
% 1.21/0.55 thf(func_def_247, type, sK180: !>[X0: $tType, X1: $tType]:(((X1 > $o) > rBT_Im246033960le_rbt @ X1 @ X0 > X1))).
% 1.21/0.55 thf(func_def_248, type, sK181: !>[X0: $tType, X1: $tType]:(((X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0 > X0))).
% 1.21/0.55 thf(func_def_249, type, sK182: !>[X0: $tType, X1: $tType]:(((X1 > $o) > rBT_Im246033960le_rbt @ X1 @ X0 > X1))).
% 1.21/0.55 thf(func_def_250, type, sK183: !>[X0: $tType, X1: $tType]:(((X1 > $o) > rBT_Im246033960le_rbt @ X1 @ X0 > X1))).
% 1.21/0.55 thf(func_def_251, type, sK184: !>[X0: $tType, X1: $tType]:(((X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0 > X0))).
% 1.21/0.55 thf(func_def_252, type, sK185: !>[X0: $tType, X1: $tType]:(((X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0 > X0))).
% 1.21/0.55 thf(func_def_253, type, sK186: !>[X0: $tType, X1: $tType]:(((X1 > $o) > rBT_Im246033960le_rbt @ X1 @ X0 > X1))).
% 1.21/0.55 thf(func_def_254, type, sK187: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > $o) > (X3 > X2) > rBT_Im246033960le_rbt @ X3 @ X1 > (X1 > X0) > X0))).
% 1.21/0.55 thf(func_def_255, type, sK188: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > $o) > (X3 > X2) > rBT_Im246033960le_rbt @ X3 @ X1 > (X1 > X0) > X2))).
% 1.21/0.55 thf(func_def_256, type, sK189: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > $o) > (X3 > X2) > rBT_Im246033960le_rbt @ X3 @ X1 > (X1 > X0) > X2))).
% 1.21/0.55 thf(func_def_257, type, sK190: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > $o) > rBT_Im246033960le_rbt @ X2 @ X1 > (X1 > X0) > X1))).
% 1.21/0.55 thf(func_def_258, type, sK191: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > $o) > (X2 > X0) > rBT_Im246033960le_rbt @ X2 @ X1 > X2))).
% 1.21/0.55 thf(func_def_259, type, sK192: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0 > X0))).
% 1.21/0.55 thf(func_def_260, type, sK193: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 1.21/0.55 thf(func_def_261, type, sK194: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 1.21/0.55 thf(func_def_262, type, sK195: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 1.21/0.55 thf(func_def_263, type, sK196: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 1.21/0.55 thf(func_def_264, type, sK197: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 1.21/0.55 thf(func_def_265, type, sK198: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0 > X0))).
% 1.21/0.55 thf(func_def_266, type, sK199: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0 > X0))).
% 1.21/0.55 thf(func_def_267, type, sK200: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0 > X0))).
% 1.21/0.55 thf(func_def_268, type, sK201: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0 > X0))).
% 1.21/0.55 thf(func_def_269, type, sK202: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0 > X0))).
% 1.21/0.55 thf(func_def_270, type, sK203: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0 > X0))).
% 1.21/0.55 thf(func_def_271, type, db4: !>[X0: $tType]:(X0)).
% 1.21/0.55 thf(f1,axiom,(
% 1.21/0.55 (t = rBT_Im418718756_Empty @ a @ b) => thesis),
% 1.21/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_Empty)).
% 1.21/0.55 thf(f8,axiom,(
% 1.21/0.55 ! [X1 : $tType,X0 : $tType,X2 : rBT_Im246033960le_rbt @ X1 @ X0] : ((X2 != rBT_Im418718756_Empty @ X1 @ X0) => ~ ! [X5 : X1,X4 : rBT_Im246033960le_rbt @ X1 @ X0,X7 : rBT_Im246033960le_rbt @ X1 @ X0,X6 : X0,X3 : rBT_Im1923302023_color] : (X2 != ((rBT_Im480247531Branch @ X1 @ X0 @ X3 @ X4 @ X5 @ X6 @ X7))))),
% 1.21/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_rbt_Oexhaust)).
% 1.21/0.55 thf(f10,axiom,(
% 1.21/0.55 ! [X0 : rBT_Im1923302023_color] : ((X0 != rBT_Impl_Mirabelle_R) => (X0 = rBT_Impl_Mirabelle_B))),
% 1.21/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_color_Oexhaust)).
% 1.21/0.55 thf(f282,axiom,(
% 1.21/0.55 ! [X0 : rBT_Im246033960le_rbt @ a @ b,X2 : b,X3 : rBT_Im246033960le_rbt @ a @ b,X1 : a] : ((t = ((rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ X0 @ X1 @ X2 @ X3))) => thesis)),
% 1.21/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 1.21/0.55 thf(f283,axiom,(
% 1.21/0.55 ! [X2 : b,X3 : rBT_Im246033960le_rbt @ a @ b,X0 : rBT_Im246033960le_rbt @ a @ b,X1 : a] : ((t = ((rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ X0 @ X1 @ X2 @ X3))) => thesis)),
% 1.21/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2)).
% 1.21/0.55 thf(f284,conjecture,(
% 1.21/0.55 thesis),
% 1.21/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3)).
% 1.21/0.55 thf(f285,negated_conjecture,(
% 1.21/0.55 ~thesis),
% 1.21/0.55 inference(negated_conjecture,[status(cth)],[f284])).
% 1.21/0.55 thf(f463,plain,(
% 1.21/0.55 ! [X0 : b,X1 : rBT_Im246033960le_rbt @ a @ b,X2 : rBT_Im246033960le_rbt @ a @ b,X3 : a] : ((t = ((rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ X2 @ X3 @ X0 @ X1))) => thesis)),
% 1.21/0.55 inference(rectify,[],[f283])).
% 1.21/0.55 thf(f464,plain,(
% 1.21/0.55 ! [X3 : a,X2 : rBT_Im246033960le_rbt @ a @ b,X1 : rBT_Im246033960le_rbt @ a @ b,X0 : b] : ((t = ((rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ X2 @ X3 @ X0 @ X1))) => (thesis = $true))),
% 1.21/0.55 inference(fool_elimination,[],[f463])).
% 1.21/0.55 thf(f589,plain,(
% 1.21/0.55 ! [X0 : rBT_Im246033960le_rbt @ a @ b,X1 : b,X2 : rBT_Im246033960le_rbt @ a @ b,X3 : a] : ((t = ((rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ X0 @ X3 @ X1 @ X2))) => thesis)),
% 1.21/0.55 inference(rectify,[],[f282])).
% 1.21/0.55 thf(f590,plain,(
% 1.21/0.55 ! [X0 : rBT_Im246033960le_rbt @ a @ b,X3 : a,X1 : b,X2 : rBT_Im246033960le_rbt @ a @ b] : ((t = ((rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ X0 @ X3 @ X1 @ X2))) => (thesis = $true))),
% 1.21/0.55 inference(fool_elimination,[],[f589])).
% 1.21/0.55 thf(f603,plain,(
% 1.21/0.55 ~thesis),
% 1.21/0.55 inference(rectify,[],[f285])).
% 1.21/0.55 thf(f604,plain,(
% 1.21/0.55 ~ (thesis = $true)),
% 1.21/0.55 inference(fool_elimination,[],[f603])).
% 1.21/0.55 thf(f613,plain,(
% 1.21/0.55 (t = rBT_Im418718756_Empty @ a @ b) => thesis),
% 1.21/0.55 inference(rectify,[],[f1])).
% 1.21/0.55 thf(f614,plain,(
% 1.21/0.55 (t = rBT_Im418718756_Empty @ a @ b) => (thesis = $true)),
% 1.21/0.55 inference(fool_elimination,[],[f613])).
% 1.21/0.55 thf(f673,plain,(
% 1.21/0.55 (thesis != $true)),
% 1.21/0.55 inference(flattening,[],[f604])).
% 1.21/0.55 thf(f676,plain,(
% 1.21/0.55 ! [X0 : $tType,X1 : $tType,X2 : rBT_Im246033960le_rbt @ X0 @ X1] : ((rBT_Im418718756_Empty @ X0 @ X1 != X2) => ~ ! [X5 : rBT_Im246033960le_rbt @ X0 @ X1,X7 : rBT_Im1923302023_color,X6 : X1,X4 : rBT_Im246033960le_rbt @ X0 @ X1,X3 : X0] : (((rBT_Im480247531Branch @ X0 @ X1 @ X7 @ X4 @ X3 @ X6 @ X5)) != X2))),
% 1.21/0.55 inference(rectify,[],[f8])).
% 1.21/0.55 thf(f742,plain,(
% 1.21/0.55 ! [X0 : rBT_Im1923302023_color] : ((rBT_Impl_Mirabelle_R = X0) | (X0 = rBT_Impl_Mirabelle_B))),
% 1.21/0.55 inference(ennf_transformation,[],[f10])).
% 1.21/0.55 thf(f748,plain,(
% 1.21/0.55 ! [X1 : rBT_Im246033960le_rbt @ a @ b,X0 : b,X3 : a,X2 : rBT_Im246033960le_rbt @ a @ b] : ((t != ((rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ X2 @ X3 @ X0 @ X1))) | (thesis = $true))),
% 1.21/0.55 inference(ennf_transformation,[],[f464])).
% 1.21/0.55 thf(f793,plain,(
% 1.21/0.55 ! [X1 : $tType,X0 : $tType,X2 : rBT_Im246033960le_rbt @ X0 @ X1] : ((rBT_Im418718756_Empty @ X0 @ X1 = X2) | ? [X5 : rBT_Im246033960le_rbt @ X0 @ X1,X3 : X0,X6 : X1,X7 : rBT_Im1923302023_color,X4 : rBT_Im246033960le_rbt @ X0 @ X1] : (((rBT_Im480247531Branch @ X0 @ X1 @ X7 @ X4 @ X3 @ X6 @ X5)) = X2))),
% 1.21/0.55 inference(ennf_transformation,[],[f676])).
% 1.21/0.55 thf(f807,plain,(
% 1.21/0.55 (t != rBT_Im418718756_Empty @ a @ b) | (thesis = $true)),
% 1.21/0.55 inference(ennf_transformation,[],[f614])).
% 1.21/0.55 thf(f830,plain,(
% 1.21/0.55 ! [X2 : rBT_Im246033960le_rbt @ a @ b,X0 : rBT_Im246033960le_rbt @ a @ b,X3 : a,X1 : b] : ((t != ((rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ X0 @ X3 @ X1 @ X2))) | (thesis = $true))),
% 1.21/0.55 inference(ennf_transformation,[],[f590])).
% 1.21/0.55 thf(f851,plain,(
% 1.21/0.55 ! [X0 : $tType,X1 : $tType,X2 : rBT_Im246033960le_rbt @ X1 @ X0] : ((rBT_Im418718756_Empty @ X1 @ X0 = X2) | ? [X3 : rBT_Im246033960le_rbt @ X1 @ X0,X4 : X1,X5 : X0,X6 : rBT_Im1923302023_color,X7 : rBT_Im246033960le_rbt @ X1 @ X0] : (((rBT_Im480247531Branch @ X1 @ X0 @ X6 @ X7 @ X4 @ X5 @ X3)) = X2))),
% 1.21/0.55 inference(rectify,[],[f793])).
% 1.21/0.55 thf(f852,plain,(
% 1.21/0.55 ! [X0 : $tType,X1 : $tType,X2 : rBT_Im246033960le_rbt @ X1 @ X0] : ((rBT_Im418718756_Empty @ X1 @ X0 = X2) | (((rBT_Im480247531Branch @ X1 @ X0 @ (sK9 @ X0 @ X1 @ X2) @ (sK10 @ X0 @ X1 @ X2) @ (sK7 @ X0 @ X1 @ X2) @ (sK8 @ X0 @ X1 @ X2) @ (sK6 @ X0 @ X1 @ X2))) = X2))),
% 1.21/0.55 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,vAPP,vAPP,vAPP]),skolemize(X11,sK5 @ X0 @ X2 @ X3 @ X8 @ X7 @ X4),skolemize(X11,sK5 @ X0 @ X2 @ X3 @ X8 @ X7 @ X4),skolemize(X11,sK5 @ X0 @ X2 @ X3 @ X8 @ X7 @ X4),skolemize(X11,sK5 @ X0 @ X2 @ X3 @ X8 @ X7 @ X4),skolemize(X11,sK5 @ X0 @ X2 @ X3 @ X8 @ X7 @ X4)],[f851])).
% 1.21/0.55 thf(f966,plain,(
% 1.21/0.55 ! [X0 : rBT_Im246033960le_rbt @ a @ b,X1 : rBT_Im246033960le_rbt @ a @ b,X2 : a,X3 : b] : ((t != ((rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ X1 @ X2 @ X3 @ X0))) | (thesis = $true))),
% 1.21/0.55 inference(rectify,[],[f830])).
% 1.21/0.55 thf(f975,plain,(
% 1.21/0.55 ! [X0 : rBT_Im246033960le_rbt @ a @ b,X1 : b,X2 : a,X3 : rBT_Im246033960le_rbt @ a @ b] : ((t != ((rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ X3 @ X2 @ X1 @ X0))) | (thesis = $true))),
% 1.21/0.55 inference(rectify,[],[f748])).
% 1.21/0.55 thf(f1011,plain,(
% 1.21/0.55 ( ! [X1 : $tType,X0 : $tType,X2 : rBT_Im246033960le_rbt @ X1 @ X0] : ((((rBT_Im480247531Branch @ X1 @ X0 @ (sK9 @ X0 @ X1 @ X2) @ (sK10 @ X0 @ X1 @ X2) @ (sK7 @ X0 @ X1 @ X2) @ (sK8 @ X0 @ X1 @ X2) @ (sK6 @ X0 @ X1 @ X2))) = X2) | (rBT_Im418718756_Empty @ X1 @ X0 = X2)) )),
% 1.21/0.55 inference(cnf_transformation,[],[f852])).
% 1.21/0.55 thf(f1095,plain,(
% 1.21/0.55 (t != rBT_Im418718756_Empty @ a @ b) | (thesis = $true)),
% 1.21/0.55 inference(cnf_transformation,[],[f807])).
% 1.21/0.55 thf(f1154,plain,(
% 1.21/0.55 ( ! [X0 : rBT_Im1923302023_color] : ((rBT_Impl_Mirabelle_R = X0) | (rBT_Impl_Mirabelle_B = X0)) )),
% 1.21/0.55 inference(cnf_transformation,[],[f742])).
% 1.21/0.55 thf(f1202,plain,(
% 1.21/0.55 ( ! [X2 : a,X3 : b,X0 : rBT_Im246033960le_rbt @ a @ b,X1 : rBT_Im246033960le_rbt @ a @ b] : ((t != ((rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ X1 @ X2 @ X3 @ X0))) | (thesis = $true)) )),
% 1.21/0.55 inference(cnf_transformation,[],[f966])).
% 1.21/0.55 thf(f1203,plain,(
% 1.21/0.55 (thesis != $true)),
% 1.21/0.55 inference(cnf_transformation,[],[f673])).
% 1.21/0.55 thf(f1215,plain,(
% 1.21/0.55 ( ! [X2 : a,X3 : rBT_Im246033960le_rbt @ a @ b,X0 : rBT_Im246033960le_rbt @ a @ b,X1 : b] : ((t != ((rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ X3 @ X2 @ X1 @ X0))) | (thesis = $true)) )),
% 1.21/0.55 inference(cnf_transformation,[],[f975])).
% 1.21/0.55 thf(f2749,definition,(
% 1.21/0.55 spl204_1 <=> (thesis = $true)),
% 1.21/0.55 introduced(definition,[new_symbols(definition,[spl204_1])],[avatar_definition])).
% 1.21/0.55 thf(f2753,definition,(
% 1.21/0.55 spl204_2 <=> ! [X2 : b,X0 : a,X1 : rBT_Im246033960le_rbt @ a @ b,X3 : rBT_Im246033960le_rbt @ a @ b] : (t != ((rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ X3 @ X0 @ X2 @ X1)))),
% 1.21/0.55 introduced(definition,[new_symbols(definition,[spl204_2])],[avatar_definition])).
% 1.21/0.55 thf(f2754,plain,(
% 1.21/0.55 ( ! [X2 : b,X3 : rBT_Im246033960le_rbt @ a @ b,X0 : a,X1 : rBT_Im246033960le_rbt @ a @ b] : ((t != ((rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ X3 @ X0 @ X2 @ X1)))) ) | ~spl204_2),
% 1.21/0.55 inference(avatar_component_clause,[],[f2753])).
% 1.21/0.55 thf(f2781,definition,(
% 1.21/0.55 spl204_9 <=> ! [X2 : b,X0 : rBT_Im246033960le_rbt @ a @ b,X1 : rBT_Im246033960le_rbt @ a @ b,X3 : a] : (t != ((rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ X0 @ X3 @ X2 @ X1)))),
% 1.21/0.55 introduced(definition,[new_symbols(definition,[spl204_9])],[avatar_definition])).
% 1.21/0.55 thf(f2782,plain,(
% 1.21/0.55 ( ! [X2 : b,X3 : a,X0 : rBT_Im246033960le_rbt @ a @ b,X1 : rBT_Im246033960le_rbt @ a @ b] : ((t != ((rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ X0 @ X3 @ X2 @ X1)))) ) | ~spl204_9),
% 1.21/0.55 inference(avatar_component_clause,[],[f2781])).
% 1.21/0.55 thf(f2784,plain,(
% 1.21/0.55 spl204_9 | spl204_1),
% 1.21/0.55 inference(avatar_split_clause,[],[f1215,f2749,f2781])).
% 1.21/0.55 thf(f2786,plain,(
% 1.21/0.55 ~spl204_1),
% 1.21/0.55 inference(avatar_split_clause,[],[f1203,f2749])).
% 1.21/0.55 thf(f2787,plain,(
% 1.21/0.55 spl204_2 | spl204_1),
% 1.21/0.55 inference(avatar_split_clause,[],[f1202,f2749,f2753])).
% 1.21/0.55 thf(f2789,definition,(
% 1.21/0.55 spl204_10 <=> (t = rBT_Im418718756_Empty @ a @ b)),
% 1.21/0.55 introduced(definition,[new_symbols(definition,[spl204_10])],[avatar_definition])).
% 1.21/0.55 thf(f2791,plain,(
% 1.21/0.55 (t != rBT_Im418718756_Empty @ a @ b) | spl204_10),
% 1.21/0.55 inference(avatar_component_clause,[],[f2789])).
% 1.21/0.55 thf(f2792,plain,(
% 1.21/0.55 spl204_1 | ~spl204_10),
% 1.21/0.55 inference(avatar_split_clause,[],[f1095,f2789,f2749])).
% 1.21/0.55 thf(f2837,plain,(
% 1.21/0.55 ( ! [X2 : a,X3 : b,X0 : rBT_Im1923302023_color,X1 : rBT_Im246033960le_rbt @ a @ b,X4 : rBT_Im246033960le_rbt @ a @ b] : ((t != ((rBT_Im480247531Branch @ a @ b @ X0 @ X1 @ X2 @ X3 @ X4))) | (rBT_Impl_Mirabelle_B = X0)) ) | ~spl204_2),
% 1.21/0.55 inference(superposition,[],[f2754,f1154])).
% 1.21/0.55 thf(f3059,plain,(
% 1.21/0.55 ( ! [X0 : rBT_Im246033960le_rbt @ a @ b] : ((t != X0) | (rBT_Im418718756_Empty @ a @ b = X0) | (rBT_Impl_Mirabelle_B = ((sK9 @ b @ a @ X0)))) ) | ~spl204_2),
% 1.21/0.55 inference(superposition,[],[f2837,f1011])).
% 1.21/0.55 thf(f3238,plain,(
% 1.21/0.55 (rBT_Impl_Mirabelle_B = ((sK9 @ b @ a @ t))) | (t != t) | (t = rBT_Im418718756_Empty @ a @ b) | ~spl204_2),
% 1.21/0.55 inference(imitation,[],[f3059])).
% 1.21/0.55 thf(f3240,plain,(
% 1.21/0.55 (rBT_Impl_Mirabelle_B = ((sK9 @ b @ a @ t))) | (t = rBT_Im418718756_Empty @ a @ b) | ~spl204_2),
% 1.21/0.55 inference(trivial_inequality_removal,[],[f3238])).
% 1.21/0.55 thf(f3241,plain,(
% 1.21/0.55 (rBT_Impl_Mirabelle_B = ((sK9 @ b @ a @ t))) | (~spl204_2 | spl204_10)),
% 1.21/0.55 inference(forward_subsumption_resolution,[],[f3240,f2791])).
% 1.21/0.55 thf(f3246,plain,(
% 1.21/0.55 (t = ((rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ (sK10 @ b @ a @ t) @ (sK7 @ b @ a @ t) @ (sK8 @ b @ a @ t) @ (sK6 @ b @ a @ t)))) | (t = rBT_Im418718756_Empty @ a @ b) | (~spl204_2 | spl204_10)),
% 1.21/0.55 inference(superposition,[],[f1011,f3241])).
% 1.21/0.55 thf(f3249,plain,(
% 1.21/0.55 (t = rBT_Im418718756_Empty @ a @ b) | (~spl204_2 | ~spl204_9 | spl204_10)),
% 1.21/0.55 inference(forward_subsumption_resolution,[],[f3246,f2782])).
% 1.21/0.55 thf(f3250,plain,(
% 1.21/0.55 $false | (~spl204_2 | ~spl204_9 | spl204_10)),
% 1.21/0.55 inference(forward_subsumption_resolution,[],[f3249,f2791])).
% 1.21/0.55 thf(f3251,plain,(
% 1.21/0.55 ~spl204_2 | ~spl204_9 | spl204_10),
% 1.21/0.55 inference(avatar_contradiction_clause,[],[f3250])).
% 1.21/0.55 cnf(s9, plain, spl204_1 | spl204_9, inference(sat_conversion,[],[f2784])).
% 1.21/0.55 cnf(s11, plain, ~spl204_1, inference(sat_conversion,[],[f2786])).
% 1.21/0.55 cnf(s12, plain, spl204_1 | spl204_2, inference(sat_conversion,[],[f2787])).
% 1.21/0.55 cnf(s13, plain, spl204_1 | ~spl204_10, inference(sat_conversion,[],[f2792])).
% 1.21/0.55 cnf(s14, plain, ~spl204_2 | ~spl204_9 | spl204_10, inference(sat_conversion,[],[f3251])).
% 1.21/0.55 cnf(s15, plain, ~spl204_10, inference(rat,[],[s13,s11])).
% 1.21/0.55 cnf(s16, plain, spl204_2, inference(rat,[],[s12,s11])).
% 1.21/0.55 cnf(s17, plain, ~spl204_9, inference(rat,[],[s14,s15,s16])).
% 1.21/0.55 cnf(s18, plain, $false, inference(rat,[],[s9,s17,s11])).
% 1.21/0.55 thf(f3252,plain,(
% 1.21/0.55 $false),
% 1.21/0.55 inference(avatar_sat_refutation,[],[s18])).
% 1.21/0.55 % SZS output end Proof for theBenchmark
% 1.21/0.55 % (1626823)------------------------------
% 1.21/0.55 % (1626823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.55 % (1626823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.55 % (1626823)CaDiCaL version: 2.1.3
% 1.21/0.55 % (1626823)Termination reason: Refutation
% 1.21/0.55 % (1626823)Time elapsed: 0.110 s
% 1.21/0.55 % (1626823)Peak memory usage: 15 MB
% 1.21/0.55 % (1626823)Instructions burned: 226 (million)
% 1.21/0.55 % (1626783)Success in time 0.258 s
% 1.21/0.55 % Vampire exiting
%------------------------------------------------------------------------------