%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT230^1 : 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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:48:35 AM UTC 2026
% Result : Theorem 0.60s 0.44s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT230^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n013.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 18:12:36 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.22/0.28 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
% 0.60/0.42 % (2464818)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.60/0.42 % (2464824)lrs+10_16_si=on:nwc=1.5:random_seed=3309507068:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.60/0.42 % (2464829)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.60/0.42 % (2464824)Instruction limit reached!
% 0.60/0.42 % (2464824)------------------------------
% 0.60/0.42 % (2464824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.42 % (2464824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.42 % (2464829)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
% 0.60/0.42 % (2464824)CaDiCaL version: 2.1.3
% 0.60/0.42 % (2464824)Termination reason: Instruction limit
% 0.60/0.42 % (2464824)Termination phase: shuffling
% 0.60/0.42 % (2464824)Time elapsed: 0.005 s
% 0.60/0.42 % (2464824)Peak memory usage: 10 MB
% 0.60/0.42 % (2464824)Instructions burned: 20 (million)
% 0.60/0.42 % (2464825)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1926652636:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.60/0.42 % (2464827)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3757266365:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.60/0.42 % (2464826)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=2841179066: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)
% 0.60/0.42 % (2464828)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3381944827:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.60/0.42 % (2464829)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=1676006694:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.60/0.42 % (2464825)Instruction limit reached!
% 0.60/0.42 % (2464825)------------------------------
% 0.60/0.42 % (2464825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.42 % (2464823)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4156160154:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.60/0.42 % (2464825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.42 % (2464825)CaDiCaL version: 2.1.3
% 0.60/0.42 % (2464825)Termination reason: Instruction limit
% 0.60/0.42 % (2464825)Termination phase: shuffling
% 0.60/0.42 % (2464825)Time elapsed: 0.004 s
% 0.60/0.42 % (2464825)Peak memory usage: 10 MB
% 0.60/0.42 % (2464825)Instructions burned: 7 (million)
% 0.60/0.42 % (2464831)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1188023657:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.60/0.42 % (2464831)Instruction limit reached!
% 0.60/0.42 % (2464831)------------------------------
% 0.60/0.42 % (2464831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.42 % (2464831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.42 % (2464831)CaDiCaL version: 2.1.3
% 0.60/0.42 % (2464831)Termination reason: Instruction limit
% 0.60/0.42 % (2464831)Termination phase: shuffling
% 0.60/0.42 % (2464831)Time elapsed: 0.001 s
% 0.60/0.42 % (2464831)Peak memory usage: 10 MB
% 0.60/0.42 % (2464831)Instructions burned: 5 (million)
% 0.60/0.42 % (2464827)Instruction limit reached!
% 0.60/0.42 % (2464827)------------------------------
% 0.60/0.42 % (2464827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.42 % (2464827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.42 % (2464827)CaDiCaL version: 2.1.3
% 0.60/0.42 % (2464827)Termination reason: Instruction limit
% 0.60/0.42 % (2464827)Termination phase: Property scanning
% 0.60/0.42 % (2464827)Time elapsed: 0.012 s
% 0.60/0.42 % (2464827)Peak memory usage: 10 MB
% 0.60/0.42 % (2464827)Instructions burned: 25 (million)
% 0.60/0.42 % (2464840)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.60/0.44 % (2464840)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2257868527:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.60/0.44 % (2464840)Instruction limit reached!
% 0.60/0.44 % (2464840)------------------------------
% 0.60/0.44 % (2464840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.44 % (2464840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.44 % (2464840)CaDiCaL version: 2.1.3
% 0.60/0.44 % (2464840)Termination reason: Instruction limit
% 0.60/0.44 % (2464840)Termination phase: shuffling
% 0.60/0.44 % (2464840)Time elapsed: 0.002 s
% 0.60/0.44 % (2464840)Peak memory usage: 10 MB
% 0.60/0.44 % (2464840)Instructions burned: 10 (million)
% 0.60/0.44 % (2464838)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1378175310:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.60/0.44 % (2464838)Instruction limit reached!
% 0.60/0.44 % (2464838)------------------------------
% 0.60/0.44 % (2464838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.44 % (2464838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.44 % (2464838)CaDiCaL version: 2.1.3
% 0.60/0.44 % (2464838)Termination reason: Instruction limit
% 0.60/0.44 % (2464838)Termination phase: shuffling
% 0.60/0.44 % (2464838)Time elapsed: 0.006 s
% 0.60/0.44 % (2464838)Peak memory usage: 10 MB
% 0.60/0.44 % (2464838)Instructions burned: 12 (million)
% 0.60/0.44 % (2464841)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3260791388:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.60/0.44 % (2464844)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
% 0.60/0.44 % (2464844)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.60/0.44 % (2464844)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4216854488:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.60/0.44 % (2464828)Instruction limit reached!
% 0.60/0.44 % (2464828)------------------------------
% 0.60/0.44 % (2464828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.44 % (2464828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.44 % (2464828)CaDiCaL version: 2.1.3
% 0.60/0.44 % (2464828)Termination reason: Instruction limit
% 0.60/0.44 % (2464828)Termination phase: Clausification
% 0.60/0.44 % (2464828)Time elapsed: 0.037 s
% 0.60/0.44 % (2464828)Peak memory usage: 12 MB
% 0.60/0.44 % (2464828)Instructions burned: 77 (million)
% 0.60/0.44 % (2464841)Instruction limit reached!
% 0.60/0.44 % (2464841)------------------------------
% 0.60/0.44 % (2464841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.44 % (2464841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.44 % (2464841)CaDiCaL version: 2.1.3
% 0.60/0.44 % (2464841)Termination reason: Instruction limit
% 0.60/0.44 % (2464841)Termination phase: shuffling
% 0.60/0.44 % (2464841)Time elapsed: 0.006 s
% 0.60/0.44 % (2464841)Peak memory usage: 10 MB
% 0.60/0.44 % (2464841)Instructions burned: 12 (million)
% 0.60/0.44 % (2464844)Instruction limit reached!
% 0.60/0.44 % (2464844)------------------------------
% 0.60/0.44 % (2464844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.44 % (2464844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.44 % (2464844)CaDiCaL version: 2.1.3
% 0.60/0.44 % (2464844)Termination reason: Instruction limit
% 0.60/0.44 % (2464844)Termination phase: shuffling
% 0.60/0.44 % (2464844)Time elapsed: 0.007 s
% 0.60/0.44 % (2464844)Peak memory usage: 10 MB
% 0.60/0.44 % (2464844)Instructions burned: 31 (million)
% 0.60/0.44 % (2464845)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=3507360713:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.60/0.44 % (2464850)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3366553533:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.60/0.44 % (2464849)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.60/0.44 % (2464848)lrs+10_1_si=on:cs=on:random_seed=758529225:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.60/0.44 % (2464849)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=1956904573:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.60/0.44 % (2464849)Instruction limit reached!
% 0.60/0.44 % (2464849)------------------------------
% 0.60/0.44 % (2464849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.44 % (2464849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.44 % (2464849)CaDiCaL version: 2.1.3
% 0.60/0.44 % (2464849)Termination reason: Instruction limit
% 0.60/0.44 % (2464849)Termination phase: shuffling
% 0.60/0.44 % (2464849)Time elapsed: 0.002 s
% 0.60/0.44 % (2464849)Peak memory usage: 10 MB
% 0.60/0.44 % (2464849)Instructions burned: 3 (million)
% 0.60/0.44 % (2464848)Instruction limit reached!
% 0.60/0.44 % (2464848)------------------------------
% 0.60/0.44 % (2464848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.44 % (2464848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.44 % (2464848)CaDiCaL version: 2.1.3
% 0.60/0.44 % (2464848)Termination reason: Instruction limit
% 0.60/0.44 % (2464848)Termination phase: shuffling
% 0.60/0.44 % (2464848)Time elapsed: 0.004 s
% 0.60/0.44 % (2464848)Peak memory usage: 10 MB
% 0.60/0.44 % (2464848)Instructions burned: 8 (million)
% 0.60/0.44 % (2464850)Instruction limit reached!
% 0.60/0.44 % (2464850)------------------------------
% 0.60/0.44 % (2464850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.44 % (2464850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.44 % (2464850)CaDiCaL version: 2.1.3
% 0.60/0.44 % (2464850)Termination reason: Instruction limit
% 0.60/0.44 % (2464850)Termination phase: Preprocessing 3
% 0.60/0.44 % (2464850)Time elapsed: 0.012 s
% 0.60/0.44 % (2464850)Peak memory usage: 11 MB
% 0.60/0.44 % (2464850)Instructions burned: 49 (million)
% 0.60/0.44 % (2464829)Instruction limit reached!
% 0.60/0.44 % (2464829)------------------------------
% 0.60/0.44 % (2464829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.44 % (2464829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.44 % (2464829)CaDiCaL version: 2.1.3
% 0.60/0.44 % (2464829)Termination reason: Instruction limit
% 0.60/0.44 % (2464829)Termination phase: Saturation
% 0.60/0.44 % (2464829)Time elapsed: 0.073 s
% 0.60/0.44 % (2464829)Peak memory usage: 14 MB
% 0.60/0.44 % (2464829)Instructions burned: 158 (million)
% 0.60/0.44 % (2464857)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=608222451:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.60/0.44 % (2464855)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4238632928:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.60/0.44 % (2464857)Instruction limit reached!
% 0.60/0.44 % (2464857)------------------------------
% 0.60/0.44 % (2464857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.44 % (2464857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.44 % (2464857)CaDiCaL version: 2.1.3
% 0.60/0.44 % (2464857)Termination reason: Instruction limit
% 0.60/0.44 % (2464857)Termination phase: shuffling
% 0.60/0.44 % (2464857)Time elapsed: 0.004 s
% 0.60/0.44 % (2464857)Peak memory usage: 10 MB
% 0.60/0.44 % (2464857)Instructions burned: 17 (million)
% 0.60/0.44 % (2464856)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2224069347:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.60/0.44 % (2464823)Instruction limit reached!
% 0.60/0.44 % (2464823)------------------------------
% 0.60/0.44 % (2464823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.44 % (2464823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.44 % (2464823)CaDiCaL version: 2.1.3
% 0.60/0.44 % (2464823)Termination reason: Instruction limit
% 0.60/0.44 % (2464823)Termination phase: Property scanning
% 0.60/0.44 % (2464823)Time elapsed: 0.079 s
% 0.60/0.44 % (2464823)Peak memory usage: 12 MB
% 0.60/0.44 % (2464823)Instructions burned: 88 (million)
% 0.60/0.44 % (2464845)Instruction limit reached!
% 0.60/0.44 % (2464845)------------------------------
% 0.60/0.44 % (2464845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.44 % (2464845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.44 % (2464845)CaDiCaL version: 2.1.3
% 0.60/0.44 % (2464845)Termination reason: Instruction limit
% 0.60/0.44 % (2464845)Termination phase: Preprocessing 1
% 0.60/0.44 % (2464845)Time elapsed: 0.037 s
% 0.60/0.44 % (2464845)Peak memory usage: 11 MB
% 0.60/0.44 % (2464845)Instructions burned: 87 (million)
% 0.60/0.44 % (2464862)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3142215741:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.60/0.44 % (2464858)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1807442379:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.60/0.44 % (2464856)Instruction limit reached!
% 0.60/0.44 % (2464856)------------------------------
% 0.60/0.44 % (2464856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.44 % (2464856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.44 % (2464856)CaDiCaL version: 2.1.3
% 0.60/0.44 % (2464856)Termination reason: Instruction limit
% 0.60/0.44 % (2464856)Termination phase: Property scanning
% 0.60/0.44 % (2464856)Time elapsed: 0.013 s
% 0.60/0.44 % (2464856)Peak memory usage: 10 MB
% 0.60/0.44 % (2464856)Instructions burned: 27 (million)
% 0.60/0.44 % (2464862)Instruction limit reached!
% 0.60/0.44 % (2464862)------------------------------
% 0.60/0.44 % (2464862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.44 % (2464862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.44 % (2464862)CaDiCaL version: 2.1.3
% 0.60/0.44 % (2464862)Termination reason: Instruction limit
% 0.60/0.44 % (2464862)Termination phase: shuffling
% 0.60/0.44 % (2464862)Time elapsed: 0.004 s
% 0.60/0.44 % (2464862)Peak memory usage: 10 MB
% 0.60/0.44 % (2464862)Instructions burned: 15 (million)
% 0.60/0.44 % (2464863)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1843139046: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)
% 0.60/0.44 % (2464826) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2464818-2464826"...
% 0.60/0.44 % (2464864)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3172061674:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.60/0.44 % (2464868)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2552780267:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.60/0.44 % (2464863)Instruction limit reached!
% 0.60/0.44 % (2464863)------------------------------
% 0.60/0.44 % (2464863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.44 % (2464863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.44 % (2464863)CaDiCaL version: 2.1.3
% 0.60/0.44 % (2464863)Termination reason: Instruction limit
% 0.60/0.44 % (2464863)Termination phase: shuffling
% 0.60/0.44 % (2464863)Time elapsed: 0.003 s
% 0.60/0.44 % (2464863)Peak memory usage: 10 MB
% 0.60/0.44 % (2464863)Instructions burned: 5 (million)
% 0.60/0.44 % (2464826)...printing done.
% 0.60/0.44 % (2464826)Refutation found. Thanks to Tanya!
% 0.60/0.44 % SZS status Theorem for theBenchmark
% 0.60/0.44 % SZS output start Proof for theBenchmark
% 0.60/0.44 thf(type_def_5, type, rBT_Im1923302023_color: $tType).
% 0.60/0.44 thf(type_def_6, type, rBT_Im246033960le_rbt: ($tType * $tType) > $tType).
% 0.60/0.44 thf(type_def_7, type, product_prod: ($tType * $tType) > $tType).
% 0.60/0.44 thf(type_def_8, type, option: $tType > $tType).
% 0.60/0.44 thf(type_def_9, type, list: $tType > $tType).
% 0.60/0.44 thf(type_def_10, type, set: $tType > $tType).
% 0.60/0.44 thf(type_def_11, type, itself: $tType > $tType).
% 0.60/0.44 thf(type_def_12, type, b: $tType).
% 0.60/0.44 thf(type_def_13, type, a: $tType).
% 0.60/0.44 thf(type_def_14, type, sTfun: ($tType * $tType) > $tType).
% 0.60/0.44 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.60/0.44 thf(func_def_1, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.60/0.44 thf(func_def_2, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.60/0.44 thf(func_def_3, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.60/0.44 thf(func_def_4, type, inj_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 0.60/0.44 thf(func_def_5, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.60/0.44 thf(func_def_6, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_7, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 0.60/0.44 thf(func_def_8, type, butlast: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_9, type, distinct: !>[X0: $tType]:((list @ X0 > $o))).
% 0.60/0.44 thf(func_def_10, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_11, type, last: !>[X0: $tType]:((list @ X0 > X0))).
% 0.60/0.44 thf(func_def_12, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_13, type, nil: !>[X0: $tType]:(list @ X0)).
% 0.60/0.44 thf(func_def_14, type, set2: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 0.60/0.44 thf(func_def_15, type, maps: !>[X0: $tType, X1: $tType]:(((X0 > list @ X1) > list @ X0 > list @ X1))).
% 0.60/0.44 thf(func_def_16, type, lexordp: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 0.60/0.44 thf(func_def_17, type, lexordp_eq: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 0.60/0.44 thf(func_def_18, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.60/0.44 thf(func_def_19, type, rotate1: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_20, type, sublists: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 0.60/0.44 thf(func_def_21, type, union: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_22, type, dom: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X0))).
% 0.60/0.44 thf(func_def_23, type, map_of: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > X0 > option @ X1))).
% 0.60/0.44 thf(func_def_24, type, none: !>[X0: $tType]:(option @ X0)).
% 0.60/0.44 thf(func_def_25, type, some: !>[X0: $tType]:((X0 > option @ X0))).
% 0.60/0.44 thf(func_def_26, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.60/0.44 thf(func_def_27, type, strict_mono: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > $o))).
% 0.60/0.44 thf(func_def_28, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.60/0.44 thf(func_def_29, type, rBT_Im954575269ntries: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > list @ product_prod @ X0 @ X1))).
% 0.60/0.44 thf(func_def_30, type, rBT_Im380146495e_keys: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > list @ X0))).
% 0.60/0.44 thf(func_def_31, type, rBT_Im1259024060reater: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > X0 > rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 0.60/0.44 thf(func_def_32, type, rBT_Im2075124343t_less: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > X0 > rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 0.60/0.44 thf(func_def_33, type, rBT_Im35466040lookup: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > X0 > option @ X1))).
% 0.60/0.44 thf(func_def_34, type, rBT_Im759614907sorted: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 0.60/0.44 thf(func_def_35, type, rBT_Im1332541288reater: !>[X0: $tType, X1: $tType]:((X0 > rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 0.60/0.44 thf(func_def_36, type, rBT_Im903026891t_less: !>[X0: $tType, X1: $tType]:((X0 > rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 0.60/0.44 thf(func_def_37, type, rBT_Im1183586831sorted: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 0.60/0.44 thf(func_def_38, 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))).
% 0.60/0.44 thf(func_def_39, type, rBT_Im418718756_Empty: !>[X0: $tType, X1: $tType]:(rBT_Im246033960le_rbt @ X0 @ X1)).
% 0.60/0.44 thf(func_def_40, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.60/0.44 thf(func_def_41, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 0.60/0.44 thf(func_def_42, type, set_greaterThan: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 0.60/0.44 thf(func_def_43, type, set_lessThan: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 0.60/0.44 thf(func_def_44, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.60/0.44 thf(func_def_45, type, c: rBT_Im1923302023_color).
% 0.60/0.44 thf(func_def_46, type, k: a).
% 0.60/0.44 thf(func_def_47, type, less: (a > a > $o)).
% 0.60/0.44 thf(func_def_48, type, t1: rBT_Im246033960le_rbt @ a @ b).
% 0.60/0.44 thf(func_def_49, type, t2: rBT_Im246033960le_rbt @ a @ b).
% 0.60/0.44 thf(func_def_50, type, v: b).
% 0.60/0.44 thf(func_def_54, type, db0: !>[X0: $tType]:(X0)).
% 0.60/0.44 thf(func_def_55, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.60/0.44 thf(func_def_56, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.60/0.44 thf(func_def_57, type, vIMP: ($o > $o > $o)).
% 0.60/0.44 thf(func_def_58, type, db1: !>[X0: $tType]:(X0)).
% 0.60/0.44 thf(func_def_59, type, db2: !>[X0: $tType]:(X0)).
% 0.60/0.44 thf(func_def_60, type, db3: !>[X0: $tType]:(X0)).
% 0.60/0.44 thf(func_def_61, type, vOR: ($o > $o > $o)).
% 0.60/0.44 thf(func_def_62, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.60/0.44 thf(func_def_63, type, vAND: ($o > $o > $o)).
% 0.60/0.44 thf(func_def_64, type, db5: !>[X0: $tType]:(X0)).
% 0.60/0.44 thf(func_def_65, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.60/0.44 thf(func_def_66, type, vNOT: ($o > $o)).
% 0.60/0.44 thf(func_def_67, type, db6: !>[X0: $tType]:(X0)).
% 0.60/0.44 thf(func_def_68, type, db4: !>[X0: $tType]:(X0)).
% 0.60/0.44 thf(func_def_69, type, sP0: (list @ a > list @ a > $o)).
% 0.60/0.44 thf(func_def_70, type, sP1: (list @ a > list @ a > $o)).
% 0.60/0.44 thf(func_def_71, type, sP2: (list @ a > list @ a > $o)).
% 0.60/0.44 thf(func_def_72, type, sP3: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > $o))).
% 0.60/0.44 thf(func_def_73, type, sP4: (list @ a > list @ a > $o)).
% 0.60/0.44 thf(func_def_74, type, sP5: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > $o))).
% 0.60/0.44 thf(func_def_75, type, sP6: (list @ a > list @ a > $o)).
% 0.60/0.44 thf(func_def_76, type, sK7: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_77, type, sK8: !>[X0: $tType]:((X0 > list @ X0 > X0))).
% 0.60/0.44 thf(func_def_78, type, sK9: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_79, type, sK10: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_80, type, sK11: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_81, type, sK12: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_82, type, sK13: !>[X0: $tType]:((rBT_Im246033960le_rbt @ a @ X0 > a > a))).
% 0.60/0.44 thf(func_def_83, type, sK14: !>[X0: $tType]:((list @ X0 > X0))).
% 0.60/0.44 thf(func_def_84, type, sK15: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_85, type, sK16: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_86, type, sK17: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_87, type, sK18: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_88, type, sK19: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_89, type, sK20: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_90, type, sK21: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_91, type, sK22: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_92, type, sK23: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_93, type, sK24: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_94, type, sK25: a).
% 0.60/0.44 thf(func_def_95, type, sK26: !>[X0: $tType, X1: $tType]:(((X1 > list @ X0) > list @ X1 > (X1 > list @ X0) > X1))).
% 0.60/0.44 thf(func_def_96, type, sK27: ((list @ a > list @ a > $o) > list @ a)).
% 0.60/0.44 thf(func_def_97, type, sK28: ((list @ a > list @ a > $o) > a)).
% 0.60/0.44 thf(func_def_98, type, sK29: ((list @ a > list @ a > $o) > a)).
% 0.60/0.44 thf(func_def_99, type, sK30: ((list @ a > list @ a > $o) > list @ a)).
% 0.60/0.44 thf(func_def_100, type, sK31: ((list @ a > list @ a > $o) > list @ a)).
% 0.60/0.44 thf(func_def_101, type, sK32: ((list @ a > list @ a > $o) > a)).
% 0.60/0.44 thf(func_def_102, type, sK33: ((list @ a > list @ a > $o) > list @ a)).
% 0.60/0.44 thf(func_def_103, type, sK34: ((list @ a > list @ a > $o) > list @ a)).
% 0.60/0.44 thf(func_def_104, type, sK35: ((list @ a > list @ a > $o) > a)).
% 0.60/0.44 thf(func_def_105, type, sK36: ((list @ a > list @ a > $o) > a)).
% 0.60/0.44 thf(func_def_106, type, sK37: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.60/0.44 thf(func_def_107, type, sK38: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_108, type, sK39: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.60/0.44 thf(func_def_109, type, sK40: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_110, type, sK41: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_111, type, sK42: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.60/0.44 thf(func_def_112, type, sK43: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_113, type, sK44: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_114, type, sK45: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_115, type, sK46: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_116, type, sK47: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_117, type, sK48: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_118, type, sK49: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_119, type, sK50: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_120, type, sK51: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_121, type, sK52: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_122, type, sK53: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_123, type, sK54: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_124, type, sK55: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_125, type, sK56: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_126, type, sK57: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_127, type, sK58: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_128, type, sK59: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_129, type, sK60: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_130, type, sK61: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_131, type, sK62: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_132, type, sK63: (list @ a > list @ a)).
% 0.60/0.44 thf(func_def_133, type, sK64: (list @ a > a)).
% 0.60/0.44 thf(func_def_134, type, sK65: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_135, type, sK66: !>[X0: $tType]:((list @ X0 > X0))).
% 0.60/0.44 thf(func_def_136, type, sK67: ((list @ a > list @ a > $o) > list @ a)).
% 0.60/0.44 thf(func_def_137, type, sK68: ((list @ a > list @ a > $o) > list @ a)).
% 0.60/0.44 thf(func_def_138, type, sK69: ((list @ a > list @ a > $o) > list @ a)).
% 0.60/0.44 thf(func_def_139, type, sK70: ((list @ a > list @ a > $o) > a)).
% 0.60/0.44 thf(func_def_140, type, sK71: ((list @ a > list @ a > $o) > a)).
% 0.60/0.44 thf(func_def_141, type, sK72: ((list @ a > list @ a > $o) > list @ a)).
% 0.60/0.44 thf(func_def_142, type, sK73: ((list @ a > list @ a > $o) > a)).
% 0.60/0.44 thf(func_def_143, type, sK74: ((list @ a > list @ a > $o) > list @ a)).
% 0.60/0.44 thf(func_def_144, type, sK75: ((list @ a > list @ a > $o) > a)).
% 0.60/0.44 thf(func_def_145, type, sK76: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_146, type, sK77: !>[X0: $tType]:((list @ X0 > list @ X0 > X0 > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_147, type, sK78: !>[X0: $tType]:(((a > X0) > a))).
% 0.60/0.44 thf(func_def_148, type, sK79: !>[X0: $tType]:(((a > X0) > a))).
% 0.60/0.44 thf(func_def_149, type, sK80: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 0.60/0.44 thf(func_def_150, type, sK81: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X0))).
% 0.60/0.44 thf(func_def_151, type, sK82: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X1))).
% 0.60/0.44 thf(func_def_152, type, sK83: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 0.60/0.44 thf(func_def_153, type, sK84: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im1923302023_color))).
% 0.60/0.44 thf(func_def_154, type, sK85: !>[X0: $tType]:(((a > X0) > a))).
% 0.60/0.44 thf(func_def_155, type, sK86: !>[X0: $tType]:(((a > X0) > a))).
% 0.60/0.44 thf(func_def_156, type, sK87: !>[X0: $tType]:((rBT_Im246033960le_rbt @ a @ X0 > a > a))).
% 0.60/0.44 thf(func_def_157, type, sK88: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_158, type, sK89: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_159, type, sK90: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_160, type, sK91: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_161, type, sK92: (list @ a > list @ a)).
% 0.60/0.44 thf(func_def_162, type, sK93: (list @ a > a)).
% 0.60/0.44 thf(func_def_163, type, sK94: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_164, type, sK95: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_165, type, sK96: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_166, type, sK97: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_167, type, sK98: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.60/0.44 thf(func_def_168, type, sK99: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 0.60/0.44 thf(func_def_169, type, sK100: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_170, type, sK101: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.60/0.44 thf(func_def_171, type, sK102: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_172, type, sK103: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_173, type, sK104: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_174, type, sK105: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_175, type, sK106: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.60/0.44 thf(func_def_176, type, sK107: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_177, type, sK108: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_178, type, sK109: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.60/0.44 thf(func_def_179, type, sK110: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_180, type, sK111: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_181, type, sK112: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_182, type, sK113: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_183, type, sK114: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_184, type, sK115: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_185, type, sK116: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_186, type, sK117: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_187, type, sK118: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_188, type, sK119: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_189, type, sK120: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_190, type, sK121: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_191, type, sK122: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_192, type, sK123: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_193, type, sK124: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_194, type, sK125: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_195, type, sK126: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0 > list @ X0))).
% 0.60/0.44 thf(func_def_196, type, sK127: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_197, type, sK128: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_198, type, sK129: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.60/0.44 thf(func_def_199, type, sK130: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_200, type, sK131: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_201, type, sK132: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_202, type, sK133: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_203, type, sK134: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_204, type, sK135: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_205, type, sK136: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_206, type, sK137: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_207, type, sK138: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_208, type, sK139: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_209, type, sK140: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.60/0.44 thf(func_def_210, type, sK141: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_211, type, sK142: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_212, type, sK143: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_213, type, sK144: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_214, type, sK145: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_215, type, sK146: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_216, type, sK147: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_217, type, sK148: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_218, type, sK149: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_219, type, sK150: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_220, type, sK151: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > X0))).
% 0.60/0.44 thf(func_def_221, type, sK152: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_222, type, sK153: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > X0))).
% 0.60/0.44 thf(func_def_223, type, sK154: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_224, type, sK155: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_225, type, sK156: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_226, type, sK157: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_227, type, sK158: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_228, type, sK159: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_229, type, sK160: !>[X0: $tType]:((list @ X0 > X0))).
% 0.60/0.44 thf(func_def_230, type, sK161: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_231, type, sK162: !>[X0: $tType]:((list @ X0 > X0))).
% 0.60/0.44 thf(func_def_232, type, sK163: !>[X0: $tType]:((list @ X0 > X0))).
% 0.60/0.44 thf(func_def_233, type, sK164: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_234, type, sK165: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_235, type, sK166: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_236, type, sK167: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_237, type, sK168: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_238, type, sK169: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_239, type, sK170: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_240, type, sK171: !>[X0: $tType]:((list @ X0 > X0))).
% 0.60/0.44 thf(func_def_241, type, sK172: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 0.60/0.44 thf(func_def_242, type, sK173: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 0.60/0.44 thf(func_def_243, type, sK174: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_244, type, sK175: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_245, type, sK176: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 0.60/0.44 thf(func_def_246, type, sK177: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.60/0.44 thf(func_def_247, type, sK178: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0))).
% 0.60/0.44 thf(func_def_248, type, sK179: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_249, type, sK180: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.60/0.44 thf(func_def_250, type, sK181: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 0.60/0.44 thf(func_def_251, type, sK182: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_252, type, sK183: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_253, type, sK184: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_254, type, sK185: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_255, type, sK186: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_256, type, sK187: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_257, type, sK188: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_258, type, sK189: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_259, type, sK190: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_260, type, sK191: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_261, type, sK192: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X0 @ X1 > $o) > X0))).
% 0.60/0.44 thf(func_def_262, type, sK193: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X0 @ X1 > $o) > rBT_Im1923302023_color))).
% 0.60/0.44 thf(func_def_263, type, sK194: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X0 @ X1 > $o) > X1))).
% 0.60/0.44 thf(func_def_264, type, sK195: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X0 @ X1 > $o) > rBT_Im246033960le_rbt @ X0 @ X1))).
% 0.60/0.44 thf(func_def_265, type, sK196: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X0 @ X1 > $o) > rBT_Im246033960le_rbt @ X0 @ X1))).
% 0.60/0.44 thf(func_def_266, type, sK197: ((list @ a > list @ a > $o) > list @ a)).
% 0.60/0.44 thf(func_def_267, type, sK198: ((list @ a > list @ a > $o) > list @ a)).
% 0.60/0.44 thf(func_def_268, type, sK199: ((list @ a > list @ a > $o) > a)).
% 0.60/0.44 thf(func_def_269, type, sK200: ((list @ a > list @ a > $o) > list @ a)).
% 0.60/0.44 thf(func_def_270, type, sK201: ((list @ a > list @ a > $o) > a)).
% 0.60/0.44 thf(func_def_271, type, sK202: ((list @ a > list @ a > $o) > a)).
% 0.60/0.44 thf(func_def_272, type, sK203: ((list @ a > list @ a > $o) > list @ a)).
% 0.60/0.44 thf(func_def_273, type, sK204: ((list @ a > list @ a > $o) > list @ a)).
% 0.60/0.44 thf(func_def_274, type, sK205: ((list @ a > list @ a > $o) > a)).
% 0.60/0.44 thf(func_def_275, type, sK206: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_276, type, sK207: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_277, type, sK208: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_278, type, sK209: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_279, type, sK210: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > X0))).
% 0.60/0.44 thf(func_def_280, type, sK211: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > X0))).
% 0.60/0.44 thf(func_def_281, type, sK212: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_282, type, sK213: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_283, type, sK214: !>[X0: $tType]:((list @ X0 > X0))).
% 0.60/0.44 thf(func_def_284, type, sK215: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_285, type, sK216: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_286, type, sK217: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_287, type, sK218: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_288, type, sK219: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_289, type, sK220: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_290, type, sK221: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_291, type, sK222: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_292, type, sK223: a).
% 0.60/0.44 thf(func_def_293, type, sK224: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_294, type, sK225: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_295, type, sK226: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_296, type, sK227: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_297, type, sK228: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_298, type, sK229: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_299, type, sK230: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_300, type, sK231: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_301, type, sK232: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_302, type, sK233: (list @ a > list @ a > a)).
% 0.60/0.44 thf(func_def_303, type, sK234: (list @ a > list @ a > list @ a)).
% 0.60/0.44 thf(func_def_304, type, sK235: (list @ a > list @ a)).
% 0.60/0.44 thf(func_def_305, type, sK236: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_306, type, sK237: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_307, type, sK238: a).
% 0.60/0.44 thf(func_def_308, type, sK239: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_309, type, sK240: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_310, type, sK241: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_311, type, sK242: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_312, type, sK243: !>[X0: $tType]:((list @ X0 > X0))).
% 0.60/0.44 thf(func_def_313, type, sK244: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_314, type, sK245: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_315, type, sK246: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_316, type, sK247: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 0.60/0.44 thf(func_def_317, type, sK248: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 0.60/0.44 thf(func_def_318, type, sK249: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 0.60/0.44 thf(func_def_319, type, sK250: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 0.60/0.44 thf(func_def_320, type, sK251: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 0.60/0.44 thf(func_def_321, type, sK252: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 0.60/0.44 thf(func_def_322, type, sK253: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_323, type, sK254: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_324, type, sK255: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.60/0.44 thf(func_def_325, type, sK256: !>[X0: $tType]:((list @ X0 > X0))).
% 0.60/0.44 thf(f26,axiom,(
% 0.60/0.44 ! [X0 : $tType,X1 : a,X2 : rBT_Im246033960le_rbt @ a @ X0] : (! [X3 : a] : ((member @ a @ X3 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ X0 @ X2))) => (less @ X1 @ X3)) = ((rBT_Im1259024060reater @ a @ X0 @ less @ X1 @ X2)))),
% 0.60/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_local_Orbt__greater__prop)).
% 0.60/0.44 thf(f28,axiom,(
% 0.60/0.44 (rBT_Im1259024060reater @ a @ b @ less @ k @ t2)),
% 0.60/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27__092_060open_062k_A_092_060guillemotleft_062_124_At2_092_060close_062)).
% 0.60/0.44 thf(f266,conjecture,(
% 0.60/0.44 ! [X0 : a] : ((member @ a @ X0 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ t2))) => (less @ k @ X0))),
% 0.60/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.60/0.44 thf(f267,negated_conjecture,(
% 0.60/0.44 ~ ! [X0 : a] : ((member @ a @ X0 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ t2))) => (less @ k @ X0))),
% 0.60/0.44 inference(negated_conjecture,[status(cth)],[f266])).
% 0.60/0.44 thf(f527,plain,(
% 0.60/0.44 ! [X0 : $tType,X1 : a,X2 : rBT_Im246033960le_rbt @ a @ X0] : (! [X3 : a] : ((member @ a @ X3 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ X0 @ X2))) => (less @ X1 @ X3)) = ((rBT_Im1259024060reater @ a @ X0 @ less @ X1 @ X2)))),
% 0.60/0.44 inference(rectify,[],[f26])).
% 0.60/0.44 thf(f528,plain,(
% 0.60/0.44 ! [X0 : $tType,X2 : rBT_Im246033960le_rbt @ a @ X0,X1 : a] : ((((rBT_Im1259024060reater @ a @ X0 @ less @ X1 @ X2)) = $true) <=> ! [X3 : a] : ((((member @ a @ X3 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ X0 @ X2)))) = $true) => (((less @ X1 @ X3)) = $true)))),
% 0.60/0.44 inference(fool_elimination,[],[f527])).
% 0.60/0.44 thf(f554,plain,(
% 0.60/0.44 (rBT_Im1259024060reater @ a @ b @ less @ k @ t2)),
% 0.60/0.44 inference(rectify,[],[f28])).
% 0.60/0.44 thf(f555,plain,(
% 0.60/0.44 (((rBT_Im1259024060reater @ a @ b @ less @ k @ t2)) = $true)),
% 0.60/0.44 inference(fool_elimination,[],[f554])).
% 0.60/0.44 thf(f662,plain,(
% 0.60/0.44 ~ ! [X0 : a] : ((member @ a @ X0 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ t2))) => (less @ k @ X0))),
% 0.60/0.44 inference(rectify,[],[f267])).
% 0.60/0.44 thf(f663,plain,(
% 0.60/0.44 ~ ! [X0 : a] : ((((member @ a @ X0 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ t2)))) = $true) => (((less @ k @ X0)) = $true))),
% 0.60/0.44 inference(fool_elimination,[],[f662])).
% 0.60/0.44 thf(f863,plain,(
% 0.60/0.44 ? [X0 : a] : ((((member @ a @ X0 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ t2)))) = $true) & (((less @ k @ X0)) != $true))),
% 0.60/0.44 inference(ennf_transformation,[],[f663])).
% 0.60/0.44 thf(f929,plain,(
% 0.60/0.44 ! [X0 : $tType,X1 : a,X2 : rBT_Im246033960le_rbt @ a @ X0] : ((((rBT_Im1259024060reater @ a @ X0 @ less @ X1 @ X2)) = $true) <=> ! [X3 : a] : ((((member @ a @ X3 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ X0 @ X2)))) != $true) | (((less @ X1 @ X3)) = $true)))),
% 0.60/0.44 inference(ennf_transformation,[],[f528])).
% 0.60/0.44 thf(f991,plain,(
% 0.60/0.44 ($true = ((member @ a @ sK25 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ t2))))) & ($true != ((less @ k @ sK25)))),
% 0.60/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X0,sK25)],[f863])).
% 0.60/0.44 thf(f1083,plain,(
% 0.60/0.44 ! [X0 : $tType,X1 : a,X2 : rBT_Im246033960le_rbt @ a @ X0] : (((((rBT_Im1259024060reater @ a @ X0 @ less @ X1 @ X2)) = $true) | ? [X3 : a] : ((((member @ a @ X3 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ X0 @ X2)))) = $true) & (((less @ X1 @ X3)) != $true))) & (! [X3 : a] : ((((member @ a @ X3 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ X0 @ X2)))) != $true) | (((less @ X1 @ X3)) = $true)) | (((rBT_Im1259024060reater @ a @ X0 @ less @ X1 @ X2)) != $true)))),
% 0.60/0.44 inference(nnf_transformation,[],[f929])).
% 0.60/0.44 thf(f1084,plain,(
% 0.60/0.44 ! [X0 : $tType,X1 : a,X2 : rBT_Im246033960le_rbt @ a @ X0] : (((((rBT_Im1259024060reater @ a @ X0 @ less @ X1 @ X2)) = $true) | ? [X3 : a] : ((((member @ a @ X3 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ X0 @ X2)))) = $true) & (((less @ X1 @ X3)) != $true))) & (! [X4 : a] : (($true != ((member @ a @ X4 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ X0 @ X2))))) | (((less @ X1 @ X4)) = $true)) | (((rBT_Im1259024060reater @ a @ X0 @ less @ X1 @ X2)) != $true)))),
% 0.60/0.44 inference(rectify,[],[f1083])).
% 0.60/0.44 thf(f1085,plain,(
% 0.60/0.44 ! [X0 : $tType,X1 : a,X2 : rBT_Im246033960le_rbt @ a @ X0] : (((((rBT_Im1259024060reater @ a @ X0 @ less @ X1 @ X2)) = $true) | (($true = ((member @ a @ (sK87 @ X0 @ X2 @ X1) @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ X0 @ X2))))) & ($true != ((less @ X1 @ (sK87 @ X0 @ X2 @ X1)))))) & (! [X4 : a] : (($true != ((member @ a @ X4 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ X0 @ X2))))) | (((less @ X1 @ X4)) = $true)) | (((rBT_Im1259024060reater @ a @ X0 @ less @ X1 @ X2)) != $true)))),
% 0.60/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X5,sK9 @ X0 @ X2 @ X1)],[f1084])).
% 0.60/0.44 thf(f1335,plain,(
% 0.60/0.44 ($true != ((less @ k @ sK25)))),
% 0.60/0.44 inference(cnf_transformation,[],[f991])).
% 0.60/0.44 thf(f1336,plain,(
% 0.60/0.44 ($true = ((member @ a @ sK25 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ t2)))))),
% 0.60/0.44 inference(cnf_transformation,[],[f991])).
% 0.60/0.44 thf(f1503,plain,(
% 0.60/0.44 ( ! [X0 : $tType,X2 : rBT_Im246033960le_rbt @ a @ X0,X1 : a,X4 : a] : ((((rBT_Im1259024060reater @ a @ X0 @ less @ X1 @ X2)) != $true) | ($true != ((member @ a @ X4 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ X0 @ X2))))) | (((less @ X1 @ X4)) = $true)) )),
% 0.60/0.44 inference(cnf_transformation,[],[f1085])).
% 0.60/0.44 thf(f1702,plain,(
% 0.60/0.44 (((rBT_Im1259024060reater @ a @ b @ less @ k @ t2)) = $true)),
% 0.60/0.44 inference(cnf_transformation,[],[f555])).
% 0.60/0.44 thf(f1977,definition,(
% 0.60/0.44 spl257_4 <=> ($true = ((member @ a @ sK25 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ t2)))))),
% 0.60/0.44 introduced(definition,[new_symbols(definition,[spl257_4])],[avatar_definition])).
% 0.60/0.44 thf(f1979,plain,(
% 0.60/0.44 ($true = ((member @ a @ sK25 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ t2))))) | ~spl257_4),
% 0.60/0.44 inference(avatar_component_clause,[],[f1977])).
% 0.60/0.44 thf(f1980,plain,(
% 0.60/0.44 spl257_4),
% 0.60/0.44 inference(avatar_split_clause,[],[f1336,f1977])).
% 0.60/0.44 thf(f2019,definition,(
% 0.60/0.44 spl257_13 <=> (((rBT_Im1259024060reater @ a @ b @ less @ k @ t2)) = $true)),
% 0.60/0.44 introduced(definition,[new_symbols(definition,[spl257_13])],[avatar_definition])).
% 0.60/0.44 thf(f2021,plain,(
% 0.60/0.44 (((rBT_Im1259024060reater @ a @ b @ less @ k @ t2)) = $true) | ~spl257_13),
% 0.60/0.44 inference(avatar_component_clause,[],[f2019])).
% 0.60/0.44 thf(f2022,plain,(
% 0.60/0.44 spl257_13),
% 0.60/0.44 inference(avatar_split_clause,[],[f1702,f2019])).
% 0.60/0.44 thf(f2038,definition,(
% 0.60/0.44 spl257_17 <=> ($true = ((less @ k @ sK25)))),
% 0.60/0.44 introduced(definition,[new_symbols(definition,[spl257_17])],[avatar_definition])).
% 0.60/0.44 thf(f2040,plain,(
% 0.60/0.44 ($true != ((less @ k @ sK25))) | spl257_17),
% 0.60/0.44 inference(avatar_component_clause,[],[f2038])).
% 0.60/0.44 thf(f2041,plain,(
% 0.60/0.44 ~spl257_17),
% 0.60/0.44 inference(avatar_split_clause,[],[f1335,f2038])).
% 0.60/0.44 thf(f2073,plain,(
% 0.60/0.44 ( ! [X0 : a] : ((((less @ k @ X0)) = $true) | (((member @ a @ X0 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ t2)))) != $true) | ($true != $true)) ) | ~spl257_13),
% 0.60/0.44 inference(superposition,[],[f1503,f2021])).
% 0.60/0.44 thf(f2076,plain,(
% 0.60/0.44 ( ! [X0 : a] : ((((member @ a @ X0 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ t2)))) != $true) | (((less @ k @ X0)) = $true)) ) | ~spl257_13),
% 0.60/0.44 inference(trivial_inequality_removal,[],[f2073])).
% 0.60/0.44 thf(f2127,plain,(
% 0.60/0.44 ($true != $true) | ($true = ((less @ k @ sK25))) | (~spl257_4 | ~spl257_13)),
% 0.60/0.44 inference(superposition,[],[f2076,f1979])).
% 0.60/0.44 thf(f2132,plain,(
% 0.60/0.44 ($true = ((less @ k @ sK25))) | (~spl257_4 | ~spl257_13)),
% 0.60/0.44 inference(trivial_inequality_removal,[],[f2127])).
% 0.60/0.44 thf(f2133,plain,(
% 0.60/0.44 $false | (~spl257_4 | ~spl257_13 | spl257_17)),
% 0.60/0.44 inference(forward_subsumption_resolution,[],[f2132,f2040])).
% 0.60/0.44 thf(f2134,plain,(
% 0.60/0.44 ~spl257_4 | ~spl257_13 | spl257_17),
% 0.60/0.44 inference(avatar_contradiction_clause,[],[f2133])).
% 0.60/0.44 cnf(s3, plain, spl257_4, inference(sat_conversion,[],[f1980])).
% 0.60/0.44 cnf(s13, plain, spl257_13, inference(sat_conversion,[],[f2022])).
% 0.60/0.44 cnf(s16, plain, ~spl257_17, inference(sat_conversion,[],[f2041])).
% 0.60/0.44 cnf(s24, plain, ~spl257_4 | ~spl257_13 | spl257_17, inference(sat_conversion,[],[f2134])).
% 0.60/0.44 cnf(s25, plain, ~spl257_4, inference(rat,[],[s24,s16,s13])).
% 0.60/0.44 cnf(s26, plain, $false, inference(rat,[],[s3,s25])).
% 0.60/0.44 thf(f2135,plain,(
% 0.60/0.44 $false),
% 0.60/0.44 inference(avatar_sat_refutation,[],[s26])).
% 0.60/0.44 % SZS output end Proof for theBenchmark
% 0.60/0.44 % (2464826)------------------------------
% 0.60/0.44 % (2464826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.44 % (2464826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.44 % (2464826)CaDiCaL version: 2.1.3
% 0.60/0.44 % (2464826)Termination reason: Refutation
% 0.60/0.44 % (2464826)Time elapsed: 0.105 s
% 0.60/0.44 % (2464826)Peak memory usage: 15 MB
% 0.60/0.44 % (2464826)Instructions burned: 212 (million)
% 0.60/0.44 % (2464818)Success in time 0.154 s
% 0.60/0.44 % Vampire exiting
%------------------------------------------------------------------------------