%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:49:04 AM UTC 2026
% Result : Theorem 2.44s 0.71s
% Output : Refutation 2.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : DAT230^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.26 % Computer : n011.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Tue Sep 29 18:13:16 UTC 2026
% 0.10/0.27 % CPUTime :
% 0.10/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.32 Running first-order model finding
% 0.25/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.44/0.71 % (460712)Will run a generic schedule for satisfiability detection.
% 2.44/0.71 % (460721)dis+10_1_sil=32000:sp=arity:random_seed=3768699030:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.44/0.71 % (460719)% WARNING: option uhcvi not known.
% 2.44/0.71 % (460718)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=705393028_2999 on theBenchmark for (2999ds/0Mi)
% 2.44/0.71 % (460719)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3139785837:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.44/0.71 % (460722)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4290707920:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.44/0.71 % (460723)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3236097444:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.44/0.71 % (460724)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1954841469:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.44/0.71 % (460720)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3018883874:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.44/0.71 % (460721)Instruction limit reached!
% 2.44/0.71 % (460721)------------------------------
% 2.44/0.71 % (460721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.71 % (460721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.71 % (460721)CaDiCaL version: 2.1.3
% 2.44/0.71 % (460721)Termination reason: Instruction limit
% 2.44/0.71 % (460721)Termination phase: Property scanning
% 2.44/0.71 % (460721)Time elapsed: 0.045 s
% 2.44/0.71 % (460721)Peak memory usage: 11 MB
% 2.44/0.71 % (460721)Instructions burned: 104 (million)
% 2.44/0.71 % (460719)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.44/0.71 % (460722)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.44/0.71 % (460732)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3294044512:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.44/0.71 % Exception at run slice level
% 2.44/0.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.44/0.71 % (460719)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.44/0.71 % (460722)Instruction limit reached!
% 2.44/0.71 % (460722)------------------------------
% 2.44/0.71 % (460722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.71 % (460722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.71 % (460722)CaDiCaL version: 2.1.3
% 2.44/0.71 % (460722)Termination reason: Instruction limit
% 2.44/0.71 % (460722)Termination phase: Saturation
% 2.44/0.71 % (460722)Time elapsed: 0.094 s
% 2.44/0.71 % (460722)Peak memory usage: 12 MB
% 2.44/0.71 % (460722)Instructions burned: 116 (million)
% 2.44/0.71 % Exception at run slice level
% 2.44/0.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.44/0.71 % (460723)Instruction limit reached!
% 2.44/0.71 % (460723)------------------------------
% 2.44/0.71 % (460723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.71 % (460723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.71 % (460723)CaDiCaL version: 2.1.3
% 2.44/0.71 % (460723)Termination reason: Instruction limit
% 2.44/0.71 % (460723)Termination phase: Saturation
% 2.44/0.71 % (460723)Time elapsed: 0.105 s
% 2.44/0.71 % (460723)Peak memory usage: 13 MB
% 2.44/0.71 % (460723)Instructions burned: 131 (million)
% 2.44/0.71 % (460736)ott-21_1_sil=16000:fs=off:random_seed=3521742644:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.44/0.71 % (460734)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1848334802:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.44/0.71 % (460735)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3086508857:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.44/0.71 % (460737)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2973199001:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.44/0.71 % (460724)Instruction limit reached!
% 2.44/0.71 % (460724)------------------------------
% 2.44/0.71 % (460724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.71 % (460724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.71 % (460724)CaDiCaL version: 2.1.3
% 2.44/0.71 % (460724)Termination reason: Instruction limit
% 2.44/0.71 % (460724)Termination phase: Saturation
% 2.44/0.71 % (460724)Time elapsed: 0.131 s
% 2.44/0.71 % (460724)Peak memory usage: 13 MB
% 2.44/0.71 % (460724)Instructions burned: 159 (million)
% 2.44/0.71 % (460742)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2451411596:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.44/0.71 % (460735)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.44/0.71 % (460736)Instruction limit reached!
% 2.44/0.71 % (460736)------------------------------
% 2.44/0.71 % (460736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.71 % (460736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.71 % (460736)CaDiCaL version: 2.1.3
% 2.44/0.71 % (460736)Termination reason: Instruction limit
% 2.44/0.71 % (460736)Termination phase: Saturation
% 2.44/0.71 % (460736)Time elapsed: 0.077 s
% 2.44/0.71 % (460736)Peak memory usage: 13 MB
% 2.44/0.71 % (460736)Instructions burned: 181 (million)
% 2.44/0.71 % (460744)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=58979235:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.44/0.71 % (460735)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.44/0.71 % (460734)Instruction limit reached!
% 2.44/0.71 % (460734)------------------------------
% 2.44/0.71 % (460734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.71 % (460734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.71 % (460734)CaDiCaL version: 2.1.3
% 2.44/0.71 % (460734)Termination reason: Instruction limit
% 2.44/0.71 % (460734)Termination phase: Saturation
% 2.44/0.71 % (460734)Time elapsed: 0.106 s
% 2.44/0.71 % (460734)Peak memory usage: 13 MB
% 2.44/0.71 % (460734)Instructions burned: 131 (million)
% 2.44/0.71 % (460746)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1212572758:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 2.44/0.71 % Exception at run slice level
% 2.44/0.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.44/0.71 % (460748)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3146424167:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 2.44/0.71 % (460719) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-460712-460719"...
% 2.44/0.71 % (460719)...printing done.
% 2.44/0.71 % (460719)Refutation found. Thanks to Tanya!
% 2.44/0.71 % SZS status Theorem for theBenchmark
% 2.44/0.71 % SZS output start Proof for theBenchmark
% 2.44/0.71 thf(type_def_5, type, rBT_Im1923302023_color: $tType).
% 2.44/0.71 thf(type_def_6, type, rBT_Im246033960le_rbt: ($tType * $tType) > $tType).
% 2.44/0.71 thf(type_def_7, type, product_prod: ($tType * $tType) > $tType).
% 2.44/0.71 thf(type_def_8, type, option: $tType > $tType).
% 2.44/0.71 thf(type_def_9, type, list: $tType > $tType).
% 2.44/0.71 thf(type_def_10, type, set: $tType > $tType).
% 2.44/0.71 thf(type_def_11, type, itself: $tType > $tType).
% 2.44/0.71 thf(type_def_12, type, b: $tType).
% 2.44/0.71 thf(type_def_13, type, a: $tType).
% 2.44/0.71 thf(type_def_14, type, sTfun: ($tType * $tType) > $tType).
% 2.44/0.71 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.44/0.71 thf(func_def_1, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.44/0.71 thf(func_def_2, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.44/0.71 thf(func_def_3, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.44/0.71 thf(func_def_4, type, inj_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 2.44/0.71 thf(func_def_5, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 2.44/0.71 thf(func_def_6, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.44/0.71 thf(func_def_7, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 2.44/0.71 thf(func_def_8, type, butlast: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.44/0.71 thf(func_def_9, type, distinct: !>[X0: $tType]:((list @ X0 > $o))).
% 2.44/0.71 thf(func_def_10, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 2.44/0.71 thf(func_def_11, type, last: !>[X0: $tType]:((list @ X0 > X0))).
% 2.44/0.71 thf(func_def_12, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 2.44/0.71 thf(func_def_13, type, nil: !>[X0: $tType]:(list @ X0)).
% 2.44/0.71 thf(func_def_14, type, set2: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 2.44/0.71 thf(func_def_15, type, maps: !>[X0: $tType, X1: $tType]:(((X0 > list @ X1) > list @ X0 > list @ X1))).
% 2.44/0.71 thf(func_def_16, type, lexordp: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 2.44/0.71 thf(func_def_17, type, lexordp_eq: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 2.44/0.71 thf(func_def_18, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 2.44/0.71 thf(func_def_19, type, rotate1: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.44/0.71 thf(func_def_20, type, sublists: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 2.44/0.71 thf(func_def_21, type, union: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.44/0.71 thf(func_def_22, type, dom: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X0))).
% 2.44/0.71 thf(func_def_23, type, map_of: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > X0 > option @ X1))).
% 2.44/0.71 thf(func_def_24, type, none: !>[X0: $tType]:(option @ X0)).
% 2.44/0.71 thf(func_def_25, type, some: !>[X0: $tType]:((X0 > option @ X0))).
% 2.44/0.71 thf(func_def_26, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.44/0.71 thf(func_def_27, type, strict_mono: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > $o))).
% 2.44/0.71 thf(func_def_28, type, type2: !>[X0: $tType]:(itself @ X0)).
% 2.44/0.71 thf(func_def_29, type, rBT_Im954575269ntries: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > list @ product_prod @ X0 @ X1))).
% 2.44/0.71 thf(func_def_30, type, rBT_Im380146495e_keys: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > list @ X0))).
% 2.44/0.71 thf(func_def_31, type, rBT_Im1259024060reater: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > X0 > rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 2.44/0.71 thf(func_def_32, type, rBT_Im2075124343t_less: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > X0 > rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 2.44/0.71 thf(func_def_33, type, rBT_Im35466040lookup: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > X0 > option @ X1))).
% 2.44/0.71 thf(func_def_34, type, rBT_Im759614907sorted: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 2.44/0.71 thf(func_def_35, type, rBT_Im1332541288reater: !>[X0: $tType, X1: $tType]:((X0 > rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 2.44/0.71 thf(func_def_36, type, rBT_Im903026891t_less: !>[X0: $tType, X1: $tType]:((X0 > rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 2.44/0.71 thf(func_def_37, type, rBT_Im1183586831sorted: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 2.44/0.71 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))).
% 2.44/0.71 thf(func_def_39, type, rBT_Im418718756_Empty: !>[X0: $tType, X1: $tType]:(rBT_Im246033960le_rbt @ X0 @ X1)).
% 2.44/0.71 thf(func_def_40, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 2.44/0.71 thf(func_def_41, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 2.44/0.71 thf(func_def_42, type, set_greaterThan: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 2.44/0.71 thf(func_def_43, type, set_lessThan: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 2.44/0.71 thf(func_def_44, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 2.44/0.71 thf(func_def_45, type, c: rBT_Im1923302023_color).
% 2.44/0.71 thf(func_def_46, type, k: a).
% 2.44/0.71 thf(func_def_47, type, less: (a > a > $o)).
% 2.44/0.71 thf(func_def_48, type, t1: rBT_Im246033960le_rbt @ a @ b).
% 2.44/0.71 thf(func_def_49, type, t2: rBT_Im246033960le_rbt @ a @ b).
% 2.44/0.71 thf(func_def_50, type, v: b).
% 2.44/0.71 thf(func_def_54, type, vNOT: ($o > $o)).
% 2.44/0.71 thf(func_def_55, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.44/0.71 thf(func_def_56, type, vOR: ($o > $o > $o)).
% 2.44/0.71 thf(func_def_57, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.44/0.71 thf(func_def_58, type, vIMP: ($o > $o > $o)).
% 2.44/0.71 thf(func_def_59, type, db0: !>[X0: $tType]:(X0)).
% 2.44/0.71 thf(func_def_60, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.44/0.71 thf(func_def_61, type, db1: !>[X0: $tType]:(X0)).
% 2.44/0.71 thf(func_def_62, type, db3: !>[X0: $tType]:(X0)).
% 2.44/0.71 thf(func_def_63, type, db2: !>[X0: $tType]:(X0)).
% 2.44/0.71 thf(func_def_64, type, vAND: ($o > $o > $o)).
% 2.44/0.71 thf(func_def_65, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.44/0.71 thf(func_def_66, type, db5: !>[X0: $tType]:(X0)).
% 2.44/0.71 thf(func_def_67, type, db4: !>[X0: $tType]:(X0)).
% 2.44/0.71 thf(func_def_68, type, db6: !>[X0: $tType]:(X0)).
% 2.44/0.71 thf(func_def_69, type, sP0: (list @ a > list @ a > $o)).
% 2.44/0.71 thf(func_def_70, type, sP1: ((list @ a > list @ a > $o) > $o)).
% 2.44/0.71 thf(func_def_71, type, sP2: (list @ a > list @ a > $o)).
% 2.44/0.71 thf(func_def_72, type, sP3: (list @ a > list @ a > $o)).
% 2.44/0.71 thf(func_def_73, type, sP4: ((list @ a > list @ a > $o) > $o)).
% 2.44/0.71 thf(func_def_74, type, sP5: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > $o))).
% 2.44/0.71 thf(func_def_75, type, sP6: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > $o))).
% 2.44/0.71 thf(func_def_76, type, sP7: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > $o))).
% 2.44/0.71 thf(func_def_77, type, sP8: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > $o))).
% 2.44/0.71 thf(func_def_78, type, sK9: a).
% 2.44/0.71 thf(func_def_79, type, sK10: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_80, type, sK11: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 2.44/0.71 thf(func_def_81, type, sK12: !>[X0: $tType]:(((a > X0) > a))).
% 2.44/0.71 thf(func_def_82, type, sK13: !>[X0: $tType]:(((a > X0) > a))).
% 2.44/0.71 thf(func_def_83, type, sK14: (list @ a > list @ a > a)).
% 2.44/0.71 thf(func_def_84, type, sK15: (list @ a > list @ a > a)).
% 2.44/0.71 thf(func_def_85, type, sK16: (list @ a > list @ a > list @ a)).
% 2.44/0.71 thf(func_def_86, type, sK17: (list @ a > list @ a > list @ a)).
% 2.44/0.71 thf(func_def_87, type, sK18: (list @ a > list @ a > a)).
% 2.44/0.71 thf(func_def_88, type, sK19: (list @ a > list @ a > a)).
% 2.44/0.71 thf(func_def_89, type, sK20: (list @ a > list @ a > list @ a)).
% 2.44/0.71 thf(func_def_90, type, sK21: (list @ a > list @ a > list @ a)).
% 2.44/0.71 thf(func_def_91, type, sK22: (list @ a > a)).
% 2.44/0.71 thf(func_def_92, type, sK23: (list @ a > list @ a)).
% 2.44/0.71 thf(func_def_93, type, sK24: ((list @ a > list @ a > $o) > a)).
% 2.44/0.71 thf(func_def_94, type, sK25: ((list @ a > list @ a > $o) > a)).
% 2.44/0.71 thf(func_def_95, type, sK26: ((list @ a > list @ a > $o) > list @ a)).
% 2.44/0.71 thf(func_def_96, type, sK27: ((list @ a > list @ a > $o) > list @ a)).
% 2.44/0.71 thf(func_def_97, type, sK28: ((list @ a > list @ a > $o) > a)).
% 2.44/0.71 thf(func_def_98, type, sK29: ((list @ a > list @ a > $o) > a)).
% 2.44/0.71 thf(func_def_99, type, sK30: ((list @ a > list @ a > $o) > list @ a)).
% 2.44/0.71 thf(func_def_100, type, sK31: ((list @ a > list @ a > $o) > list @ a)).
% 2.44/0.71 thf(func_def_101, type, sK32: ((list @ a > list @ a > $o) > a)).
% 2.44/0.71 thf(func_def_102, type, sK33: ((list @ a > list @ a > $o) > list @ a)).
% 2.44/0.71 thf(func_def_103, type, sK34: (list @ a > list @ a > a)).
% 2.44/0.71 thf(func_def_104, type, sK35: (list @ a > list @ a > a)).
% 2.44/0.71 thf(func_def_105, type, sK36: (list @ a > list @ a > list @ a)).
% 2.44/0.71 thf(func_def_106, type, sK37: (list @ a > list @ a > list @ a)).
% 2.44/0.71 thf(func_def_107, type, sK38: (list @ a > list @ a > a)).
% 2.44/0.71 thf(func_def_108, type, sK39: (list @ a > list @ a > list @ a)).
% 2.44/0.71 thf(func_def_109, type, sK40: (list @ a > list @ a > list @ a)).
% 2.44/0.71 thf(func_def_110, type, sK41: (list @ a > a)).
% 2.44/0.71 thf(func_def_111, type, sK42: (list @ a > list @ a)).
% 2.44/0.71 thf(func_def_112, type, sK43: ((list @ a > list @ a > $o) > a)).
% 2.44/0.71 thf(func_def_113, type, sK44: ((list @ a > list @ a > $o) > list @ a)).
% 2.44/0.71 thf(func_def_114, type, sK45: ((list @ a > list @ a > $o) > list @ a)).
% 2.44/0.71 thf(func_def_115, type, sK46: ((list @ a > list @ a > $o) > a)).
% 2.44/0.71 thf(func_def_116, type, sK47: ((list @ a > list @ a > $o) > list @ a)).
% 2.44/0.71 thf(func_def_117, type, sK48: ((list @ a > list @ a > $o) > a)).
% 2.44/0.71 thf(func_def_118, type, sK49: ((list @ a > list @ a > $o) > list @ a)).
% 2.44/0.71 thf(func_def_119, type, sK50: ((list @ a > list @ a > $o) > a)).
% 2.44/0.71 thf(func_def_120, type, sK51: ((list @ a > list @ a > $o) > list @ a)).
% 2.44/0.71 thf(func_def_121, type, sK52: (list @ a > list @ a > a)).
% 2.44/0.71 thf(func_def_122, type, sK53: (list @ a > list @ a > a)).
% 2.44/0.71 thf(func_def_123, type, sK54: (list @ a > list @ a > list @ a)).
% 2.44/0.71 thf(func_def_124, type, sK55: (list @ a > list @ a > list @ a)).
% 2.44/0.71 thf(func_def_125, type, sK56: (list @ a > list @ a > a)).
% 2.44/0.71 thf(func_def_126, type, sK57: (list @ a > list @ a > a)).
% 2.44/0.71 thf(func_def_127, type, sK58: (list @ a > list @ a > list @ a)).
% 2.44/0.71 thf(func_def_128, type, sK59: (list @ a > list @ a > list @ a)).
% 2.44/0.71 thf(func_def_129, type, sK60: (list @ a > list @ a)).
% 2.44/0.71 thf(func_def_130, type, sK61: ((list @ a > list @ a > $o) > a)).
% 2.44/0.71 thf(func_def_131, type, sK62: ((list @ a > list @ a > $o) > a)).
% 2.44/0.71 thf(func_def_132, type, sK63: ((list @ a > list @ a > $o) > list @ a)).
% 2.44/0.71 thf(func_def_133, type, sK64: ((list @ a > list @ a > $o) > list @ a)).
% 2.44/0.71 thf(func_def_134, type, sK65: ((list @ a > list @ a > $o) > a)).
% 2.44/0.71 thf(func_def_135, type, sK66: ((list @ a > list @ a > $o) > a)).
% 2.44/0.71 thf(func_def_136, type, sK67: ((list @ a > list @ a > $o) > list @ a)).
% 2.44/0.71 thf(func_def_137, type, sK68: ((list @ a > list @ a > $o) > list @ a)).
% 2.44/0.71 thf(func_def_138, type, sK69: ((list @ a > list @ a > $o) > list @ a)).
% 2.44/0.71 thf(func_def_139, type, sK70: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_140, type, sK71: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_141, type, sK72: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_142, type, sK73: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_143, type, sK74: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_144, type, sK75: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_145, type, sK76: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_146, type, sK77: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_147, type, sK78: !>[X0: $tType]:((list @ X0 > X0))).
% 2.44/0.71 thf(func_def_148, type, sK79: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.44/0.71 thf(func_def_149, type, sK80: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_150, type, sK81: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_151, type, sK82: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_152, type, sK83: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_153, type, sK84: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_154, type, sK85: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_155, type, sK86: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_156, type, sK87: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_157, type, sK88: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_158, type, sK89: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_159, type, sK90: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_160, type, sK91: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_161, type, sK92: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_162, type, sK93: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_163, type, sK94: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_164, type, sK95: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_165, type, sK96: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_166, type, sK97: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_167, type, sK98: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.44/0.71 thf(func_def_168, type, sK99: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_169, type, sK100: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_170, type, sK101: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_171, type, sK102: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_172, type, sK103: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_173, type, sK104: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_174, type, sK105: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_175, type, sK106: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_176, type, sK107: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_177, type, sK108: !>[X0: $tType]:((list @ X0 > X0 > X0))).
% 2.44/0.71 thf(func_def_178, type, sK109: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.44/0.71 thf(func_def_179, type, sK110: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.44/0.71 thf(func_def_180, type, sK111: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 2.44/0.71 thf(func_def_181, type, sK112: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0))).
% 2.44/0.71 thf(func_def_182, type, sK113: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_183, type, sK114: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 2.44/0.71 thf(func_def_184, type, sK115: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 2.44/0.71 thf(func_def_185, type, sK116: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 2.44/0.71 thf(func_def_186, type, sK117: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_187, type, sK118: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_188, type, sK119: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_189, type, sK120: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_190, type, sK121: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_191, type, sK122: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_192, type, sK123: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_193, type, sK124: !>[X0: $tType]:((list @ X0 > X0))).
% 2.44/0.71 thf(func_def_194, type, sK125: !>[X0: $tType]:((list @ X0 > X0))).
% 2.44/0.71 thf(func_def_195, type, sK126: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.44/0.71 thf(func_def_196, type, sK127: !>[X0: $tType]:((list @ X0 > X0))).
% 2.44/0.71 thf(func_def_197, type, sK128: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 2.44/0.71 thf(func_def_198, type, sK129: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 2.44/0.71 thf(func_def_199, type, sK130: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 2.44/0.71 thf(func_def_200, type, sK131: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 2.44/0.71 thf(func_def_201, type, sK132: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_202, type, sK133: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_203, type, sK134: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_204, type, sK135: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_205, type, sK136: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_206, type, sK137: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_207, type, sK138: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_208, type, sK139: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 2.44/0.71 thf(func_def_209, type, sK140: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_210, type, sK141: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 2.44/0.71 thf(func_def_211, type, sK142: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 2.44/0.71 thf(func_def_212, type, sK143: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 2.44/0.71 thf(func_def_213, type, sK144: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 2.44/0.71 thf(func_def_214, type, sK145: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 2.44/0.71 thf(func_def_215, type, sK146: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_216, type, sK147: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_217, type, sK148: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_218, type, sK149: !>[X0: $tType]:((list @ X0 > X0))).
% 2.44/0.71 thf(func_def_219, type, sK150: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.44/0.71 thf(func_def_220, type, sK151: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_221, type, sK152: a).
% 2.44/0.71 thf(func_def_222, type, sK153: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_223, type, sK154: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_224, type, sK155: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_225, type, sK156: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.44/0.71 thf(func_def_226, type, sK157: !>[X0: $tType]:((list @ X0 > X0))).
% 2.44/0.71 thf(func_def_227, type, sK158: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_228, type, sK159: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.44/0.71 thf(func_def_229, type, sK160: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.44/0.71 thf(func_def_230, type, sK161: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 2.44/0.71 thf(func_def_231, type, sK162: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 2.44/0.71 thf(func_def_232, type, sK163: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_233, type, sK164: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_234, type, sK165: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 2.44/0.72 thf(func_def_235, type, sK166: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_236, type, sK167: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_237, type, sK168: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 2.44/0.72 thf(func_def_238, type, sK169: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_239, type, sK170: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_240, type, sK171: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 2.44/0.72 thf(func_def_241, type, sK172: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_242, type, sK173: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_243, type, sK174: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 2.44/0.72 thf(func_def_244, type, sK175: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_245, type, sK176: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.44/0.72 thf(func_def_246, type, sK177: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.44/0.72 thf(func_def_247, type, sK178: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_248, type, sK179: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 2.44/0.72 thf(func_def_249, type, sK180: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_250, type, sK181: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.44/0.72 thf(func_def_251, type, sK182: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.44/0.72 thf(func_def_252, type, sK183: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.44/0.72 thf(func_def_253, type, sK184: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.44/0.72 thf(func_def_254, type, sK185: !>[X0: $tType, X1: $tType]:(((X1 > list @ X0) > (X1 > list @ X0) > list @ X1 > X1))).
% 2.44/0.72 thf(func_def_255, type, sK186: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_256, type, sK187: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_257, type, sK188: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_258, type, sK189: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im1923302023_color))).
% 2.44/0.72 thf(func_def_259, type, sK190: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0))).
% 2.44/0.72 thf(func_def_260, type, sK191: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > X1))).
% 2.44/0.72 thf(func_def_261, type, sK192: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > X0))).
% 2.44/0.72 thf(func_def_262, type, sK193: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0))).
% 2.44/0.72 thf(func_def_263, type, sK194: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im1923302023_color))).
% 2.44/0.72 thf(func_def_264, type, sK195: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 2.44/0.72 thf(func_def_265, type, sK196: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1))).
% 2.44/0.72 thf(func_def_266, type, sK197: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X0))).
% 2.44/0.72 thf(func_def_267, type, sK198: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 2.44/0.72 thf(func_def_268, type, sK199: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_269, type, sK200: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_270, type, sK201: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_271, type, sK202: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_272, type, sK203: !>[X0: $tType]:((list @ X0 > X0))).
% 2.44/0.72 thf(func_def_273, type, sK204: a).
% 2.44/0.72 thf(func_def_274, type, sK205: !>[X0: $tType, X1: $tType]:((X0 > rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > X0 > $o) > X0))).
% 2.44/0.72 thf(func_def_275, type, sK206: !>[X0: $tType, X1: $tType]:((X0 > rBT_Im246033960le_rbt @ X0 @ X1 > (X0 > X0 > $o) > X0))).
% 2.44/0.72 thf(func_def_276, type, sK207: !>[X0: $tType]:((a > rBT_Im246033960le_rbt @ a @ X0 > a))).
% 2.44/0.72 thf(func_def_277, type, sK208: !>[X0: $tType]:((a > rBT_Im246033960le_rbt @ a @ X0 > a))).
% 2.44/0.72 thf(func_def_278, type, sK209: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > X1 > (X1 > X1 > $o) > X1))).
% 2.44/0.72 thf(func_def_279, type, sK210: !>[X0: $tType, X1: $tType]:((X1 > rBT_Im246033960le_rbt @ X1 @ X0 > (X1 > X1 > $o) > X1))).
% 2.44/0.72 thf(func_def_280, type, sK211: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_281, type, sK212: !>[X0: $tType]:((list @ X0 > X0))).
% 2.44/0.72 thf(func_def_282, type, sK213: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_283, type, sK214: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im1923302023_color > X0 > X1 > rBT_Im246033960le_rbt @ X1 @ X0 > X1 > (X1 > X1 > $o) > X1))).
% 2.44/0.72 thf(func_def_284, type, sK215: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im1923302023_color > X0 > X1 > rBT_Im246033960le_rbt @ X1 @ X0 > X1 > (X1 > X1 > $o) > X1))).
% 2.44/0.72 thf(func_def_285, type, sK216: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im1923302023_color > X0 > X1 > rBT_Im246033960le_rbt @ X1 @ X0 > X1 > (X1 > X1 > $o) > X1))).
% 2.44/0.72 thf(func_def_286, type, sK217: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > X1 > (X1 > X1 > $o) > X1))).
% 2.44/0.72 thf(func_def_287, type, sK218: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > X1 > (X1 > X1 > $o) > X1))).
% 2.44/0.72 thf(func_def_288, type, sK219: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im1923302023_color > X0 > X1 > rBT_Im246033960le_rbt @ X1 @ X0 > X1 > (X1 > X1 > $o) > X1))).
% 2.44/0.72 thf(func_def_289, type, sK220: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im1923302023_color > X0 > X1 > rBT_Im246033960le_rbt @ X1 @ X0 > X1 > (X1 > X1 > $o) > X1))).
% 2.44/0.72 thf(func_def_290, type, sK221: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im1923302023_color > X0 > X1 > rBT_Im246033960le_rbt @ X1 @ X0 > X1 > (X1 > X1 > $o) > X1))).
% 2.44/0.72 thf(func_def_291, type, sK222: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > X1 > (X1 > X1 > $o) > X1))).
% 2.44/0.72 thf(func_def_292, type, sK223: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > X1 > (X1 > X1 > $o) > X1))).
% 2.44/0.72 thf(func_def_293, type, sK224: !>[X0: $tType]:((X0 > a > rBT_Im246033960le_rbt @ a @ X0 > a > rBT_Im246033960le_rbt @ a @ X0 > rBT_Im1923302023_color > a))).
% 2.44/0.72 thf(func_def_294, type, sK225: !>[X0: $tType]:((X0 > a > rBT_Im246033960le_rbt @ a @ X0 > a > rBT_Im246033960le_rbt @ a @ X0 > rBT_Im1923302023_color > a))).
% 2.44/0.72 thf(func_def_295, type, sK226: !>[X0: $tType]:((X0 > a > rBT_Im246033960le_rbt @ a @ X0 > a > rBT_Im246033960le_rbt @ a @ X0 > rBT_Im1923302023_color > a))).
% 2.44/0.72 thf(func_def_296, type, sK227: !>[X0: $tType]:((rBT_Im246033960le_rbt @ a @ X0 > a > a))).
% 2.44/0.72 thf(func_def_297, type, sK228: !>[X0: $tType]:((a > rBT_Im246033960le_rbt @ a @ X0 > a))).
% 2.44/0.72 thf(func_def_298, type, sK229: !>[X0: $tType]:((X0 > a > rBT_Im246033960le_rbt @ a @ X0 > a > rBT_Im246033960le_rbt @ a @ X0 > rBT_Im1923302023_color > a))).
% 2.44/0.72 thf(func_def_299, type, sK230: !>[X0: $tType]:((X0 > a > rBT_Im246033960le_rbt @ a @ X0 > a > rBT_Im246033960le_rbt @ a @ X0 > rBT_Im1923302023_color > a))).
% 2.44/0.72 thf(func_def_300, type, sK231: !>[X0: $tType]:((X0 > a > rBT_Im246033960le_rbt @ a @ X0 > a > rBT_Im246033960le_rbt @ a @ X0 > rBT_Im1923302023_color > a))).
% 2.44/0.72 thf(func_def_301, type, sK232: !>[X0: $tType]:((rBT_Im246033960le_rbt @ a @ X0 > a > a))).
% 2.44/0.72 thf(func_def_302, type, sK233: !>[X0: $tType]:((a > rBT_Im246033960le_rbt @ a @ X0 > a))).
% 2.44/0.72 thf(func_def_303, type, sK234: !>[X0: $tType]:((rBT_Im246033960le_rbt @ a @ X0 > a > a))).
% 2.44/0.72 thf(func_def_304, type, sK235: !>[X0: $tType]:((a > rBT_Im246033960le_rbt @ a @ X0 > a))).
% 2.44/0.72 thf(func_def_305, type, sK236: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_306, type, sK237: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_307, type, sK238: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_308, type, sK239: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_309, type, sK240: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_310, type, sK241: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_311, type, sK242: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 2.44/0.72 thf(func_def_312, type, sK243: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 2.44/0.72 thf(func_def_313, type, sK244: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 2.44/0.72 thf(func_def_314, type, sK245: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 2.44/0.72 thf(func_def_315, type, sK246: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 2.44/0.72 thf(func_def_316, type, sK247: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 2.44/0.72 thf(func_def_317, type, sK248: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 2.44/0.72 thf(func_def_318, type, sK249: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 2.44/0.72 thf(func_def_319, type, sK250: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 2.44/0.72 thf(func_def_320, type, sK251: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 2.44/0.72 thf(func_def_321, type, sK252: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 2.44/0.72 thf(func_def_322, type, sK253: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 2.44/0.72 thf(func_def_323, type, sK254: !>[X0: $tType]:((list @ X0 > list @ X0 > X0 > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_324, type, sK255: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_325, type, sK256: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_326, type, sK257: (list @ a > list @ a > list @ a)).
% 2.44/0.72 thf(func_def_327, type, sK258: (list @ a > list @ a > list @ a)).
% 2.44/0.72 thf(func_def_328, type, sK259: (list @ a > list @ a > list @ a)).
% 2.44/0.72 thf(func_def_329, type, sK260: (list @ a > list @ a > a)).
% 2.44/0.72 thf(func_def_330, type, sK261: (list @ a > list @ a > a)).
% 2.44/0.72 thf(func_def_331, type, sK262: (list @ a > list @ a > a)).
% 2.44/0.72 thf(func_def_332, type, sK263: (list @ a > list @ a > list @ a)).
% 2.44/0.72 thf(func_def_333, type, sK264: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.44/0.72 thf(func_def_334, type, sK265: !>[X0: $tType]:((list @ X0 > X0))).
% 2.44/0.72 thf(func_def_335, type, sK266: (list @ a > list @ a > list @ a)).
% 2.44/0.72 thf(func_def_336, type, sK267: (list @ a > list @ a > list @ a)).
% 2.44/0.72 thf(func_def_337, type, sK268: (list @ a > list @ a > list @ a)).
% 2.44/0.72 thf(func_def_338, type, sK269: (list @ a > list @ a > list @ a)).
% 2.44/0.72 thf(func_def_339, type, sK270: (list @ a > list @ a > list @ a)).
% 2.44/0.72 thf(func_def_340, type, sK271: (list @ a > list @ a > a)).
% 2.44/0.72 thf(func_def_341, type, sK272: (list @ a > list @ a > a)).
% 2.44/0.72 thf(func_def_342, type, sK273: (list @ a > list @ a > a)).
% 2.44/0.72 thf(func_def_343, type, sK274: (list @ a > list @ a > a)).
% 2.44/0.72 thf(func_def_344, type, sK275: (list @ a > list @ a > a)).
% 2.44/0.72 thf(func_def_345, type, sK276: (list @ a > list @ a > a)).
% 2.44/0.72 thf(func_def_346, type, sK277: (list @ a > list @ a > a)).
% 2.44/0.72 thf(func_def_347, type, sK278: (list @ a > list @ a > a)).
% 2.44/0.72 thf(func_def_348, type, sK279: (list @ a > list @ a > list @ a)).
% 2.44/0.72 thf(func_def_349, type, sK280: (list @ a > list @ a > list @ a)).
% 2.44/0.72 thf(func_def_350, type, sK281: (list @ a > list @ a > list @ a)).
% 2.44/0.72 thf(func_def_351, type, sK282: (list @ a > list @ a > list @ a)).
% 2.44/0.72 thf(func_def_352, type, sK283: (list @ a > list @ a > list @ a)).
% 2.44/0.72 thf(func_def_353, type, sK284: (list @ a > list @ a > a)).
% 2.44/0.72 thf(func_def_354, type, sK285: (list @ a > list @ a > a)).
% 2.44/0.72 thf(func_def_355, type, sK286: (list @ a > list @ a > a)).
% 2.44/0.72 thf(func_def_356, type, sK287: (list @ a > list @ a > a)).
% 2.44/0.72 thf(func_def_357, type, sK288: (list @ a > list @ a > a)).
% 2.44/0.72 thf(func_def_358, type, sK289: (list @ a > list @ a > a)).
% 2.44/0.72 thf(func_def_359, type, sK290: (list @ a > list @ a > a)).
% 2.44/0.72 thf(func_def_360, type, sK291: !>[X0: $tType]:(((a > X0) > a))).
% 2.44/0.72 thf(func_def_361, type, sK292: !>[X0: $tType]:(((a > X0) > a))).
% 2.44/0.72 thf(func_def_362, type, sK293: !>[X0: $tType]:((a > rBT_Im246033960le_rbt @ a @ X0 > a))).
% 2.44/0.72 thf(func_def_363, type, sK294: !>[X0: $tType]:((a > rBT_Im246033960le_rbt @ a @ X0 > a))).
% 2.44/0.72 thf(func_def_364, type, sK295: !>[X0: $tType]:((a > rBT_Im246033960le_rbt @ a @ X0 > a))).
% 2.44/0.72 thf(func_def_365, type, sK296: !>[X0: $tType]:((rBT_Im246033960le_rbt @ a @ X0 > a > a))).
% 2.44/0.72 thf(func_def_366, type, sK297: !>[X0: $tType]:((a > rBT_Im246033960le_rbt @ a @ X0 > a))).
% 2.44/0.72 thf(func_def_367, type, sK298: !>[X0: $tType]:((a > rBT_Im246033960le_rbt @ a @ X0 > a))).
% 2.44/0.72 thf(f28,axiom,(
% 2.44/0.72 (rBT_Im1259024060reater @ a @ b @ less @ k @ t2)),
% 2.44/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27__092_060open_062k_A_092_060guillemotleft_062_124_At2_092_060close_062)).
% 2.44/0.72 thf(f31,axiom,(
% 2.44/0.72 ! [X0 : $tType,X1 : $tType] : (rBT_Im1259024060reater @ X1 @ X0 = (^[X2 : (X1 > X1 > $o), X3 : X1, X4 : rBT_Im246033960le_rbt @ X1 @ X0] : (! [X5 : X1] : ((member @ X1 @ X5 @ (set2 @ X1 @ (rBT_Im380146495e_keys @ X1 @ X0 @ X4))) => (X2 @ X3 @ X5)))))),
% 2.44/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_ord_Orbt__greater__prop)).
% 2.44/0.72 thf(f263,axiom,(
% 2.44/0.72 ! [X0 : $o] : ((X0 = $false) | (X0 = $true))),
% 2.44/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_T)).
% 2.44/0.72 thf(f266,conjecture,(
% 2.44/0.72 ! [X0 : a] : ((member @ a @ X0 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ t2))) => (less @ k @ X0))),
% 2.44/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 2.44/0.72 thf(f267,negated_conjecture,(
% 2.44/0.72 ~ ! [X0 : a] : ((member @ a @ X0 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ t2))) => (less @ k @ X0))),
% 2.44/0.72 inference(negated_conjecture,[status(cth)],[f266])).
% 2.44/0.72 thf(f322,plain,(
% 2.44/0.72 (rBT_Im1259024060reater @ a @ b @ less @ k @ t2)),
% 2.44/0.72 inference(rectify,[],[f28])).
% 2.44/0.72 thf(f323,plain,(
% 2.44/0.72 (((rBT_Im1259024060reater @ a @ b @ less @ k @ t2)) = $true)),
% 2.44/0.72 inference(fool_elimination,[],[f322])).
% 2.44/0.72 thf(f328,plain,(
% 2.44/0.72 ! [X0 : $tType,X1 : $tType] : (rBT_Im1259024060reater @ X1 @ X0 = (^[X2 : (X1 > X1 > $o), X3 : X1, X4 : rBT_Im246033960le_rbt @ X1 @ X0] : (! [X5 : X1] : ((member @ X1 @ X5 @ (set2 @ X1 @ (rBT_Im380146495e_keys @ X1 @ X0 @ X4))) => (X2 @ X3 @ X5)))))),
% 2.44/0.72 inference(rectify,[],[f31])).
% 2.44/0.72 thf(f329,plain,(
% 2.44/0.72 ! [X0 : $tType,X1 : $tType] : (rBT_Im1259024060reater @ X1 @ X0 = (^[Y0 : X1 > X1 > $o]: ((^[Y1 : X1]: ((^[Y2 : rBT_Im246033960le_rbt @ X1 @ X0]: (!! @ X1 @ (^[Y3 : X1]: ((member @ X1 @ Y3 @ (set2 @ X1 @ (rBT_Im380146495e_keys @ X1 @ X0 @ Y2))) => (Y0 @ Y1 @ Y3))))))))))),
% 2.44/0.72 inference(fool_elimination,[],[f328])).
% 2.44/0.72 thf(f657,plain,(
% 2.44/0.72 ! [X0 : $o] : (($false = X0) | ($true = X0))),
% 2.44/0.72 inference(fool_elimination,[],[f263])).
% 2.44/0.72 thf(f662,plain,(
% 2.44/0.72 ~ ! [X0 : a] : ((member @ a @ X0 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ t2))) => (less @ k @ X0))),
% 2.44/0.72 inference(rectify,[],[f267])).
% 2.44/0.72 thf(f663,plain,(
% 2.44/0.72 ~ ! [X0 : a] : ((((member @ a @ X0 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ t2)))) = $true) => (((less @ k @ X0)) = $true))),
% 2.44/0.72 inference(fool_elimination,[],[f662])).
% 2.44/0.72 thf(f897,plain,(
% 2.44/0.72 ? [X0 : a] : ((((less @ k @ X0)) != $true) & (((member @ a @ X0 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ t2)))) = $true))),
% 2.44/0.72 inference(ennf_transformation,[],[f663])).
% 2.44/0.72 thf(f1013,plain,(
% 2.44/0.72 ($true != ((less @ k @ sK204))) & ($true = ((member @ a @ sK204 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ t2)))))),
% 2.44/0.72 inference(skolemize,[status(esa),new_symbols(skolem,[sK204]),skolemize(X0,sK204)],[f897])).
% 2.44/0.72 thf(f1041,plain,(
% 2.44/0.72 (((rBT_Im1259024060reater @ a @ b @ less @ k @ t2)) = $true)),
% 2.44/0.72 inference(cnf_transformation,[],[f323])).
% 2.44/0.72 thf(f1044,plain,(
% 2.44/0.72 ( ! [X1 : $tType,X0 : $tType] : ((rBT_Im1259024060reater @ X1 @ X0 = (^[Y0 : X1 > X1 > $o]: ((^[Y1 : X1]: ((^[Y2 : rBT_Im246033960le_rbt @ X1 @ X0]: (!! @ X1 @ (^[Y3 : X1]: ((member @ X1 @ Y3 @ (set2 @ X1 @ (rBT_Im380146495e_keys @ X1 @ X0 @ Y2))) => (Y0 @ Y1 @ Y3))))))))))) )),
% 2.44/0.72 inference(cnf_transformation,[],[f329])).
% 2.44/0.72 thf(f1391,plain,(
% 2.44/0.72 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 2.44/0.72 inference(cnf_transformation,[],[f657])).
% 2.44/0.72 thf(f1394,plain,(
% 2.44/0.72 ($true = ((member @ a @ sK204 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ t2)))))),
% 2.44/0.72 inference(cnf_transformation,[],[f1013])).
% 2.44/0.72 thf(f1395,plain,(
% 2.44/0.72 ($true != ((less @ k @ sK204)))),
% 2.44/0.72 inference(cnf_transformation,[],[f1013])).
% 2.44/0.72 thf(f1400,plain,(
% 2.44/0.72 ($true = (((^[Y0 : a > a > $o]: ((^[Y1 : a]: ((^[Y2 : rBT_Im246033960le_rbt @ a @ b]: (!! @ a @ (^[Y3 : a]: ((member @ a @ Y3 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ Y2))) => (Y0 @ Y1 @ Y3))))))))) @ less @ k @ t2)))),
% 2.44/0.72 inference(definition_unfolding,[],[f1041,f1044])).
% 2.44/0.72 thf(f2628,plain,(
% 2.44/0.72 ($true = ((!! @ a @ (^[Y0 : a]: ((member @ a @ Y0 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ t2))) => (less @ k @ Y0))))))),
% 2.44/0.72 inference(beta-eta_normalization,[],[f1400])).
% 2.44/0.72 thf(f2629,plain,(
% 2.44/0.72 ( ! [X1 : a] : (($true = (((^[Y0 : a]: ((member @ a @ Y0 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ t2))) => (less @ k @ Y0))) @ X1)))) )),
% 2.44/0.72 inference(pi_proxy_clausification,[],[f2628])).
% 2.44/0.72 thf(f2630,plain,(
% 2.44/0.72 ( ! [X1 : a] : (($true = (((member @ a @ X1 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ t2))) => (less @ k @ X1))))) )),
% 2.44/0.72 inference(beta-eta_normalization,[],[f2629])).
% 2.44/0.72 thf(f2631,plain,(
% 2.44/0.72 ( ! [X1 : a] : (($false = ((member @ a @ X1 @ (set2 @ a @ (rBT_Im380146495e_keys @ a @ b @ t2))))) | ($true = ((less @ k @ X1)))) )),
% 2.44/0.72 inference(imp_proxy_clausification,[],[f2630])).
% 2.44/0.72 thf(f2726,plain,(
% 2.44/0.72 ($true != $true) | ($false = ((less @ k @ sK204)))),
% 2.44/0.72 inference(constrained_superposition,[],[f1395,f1391])).
% 2.44/0.72 thf(f2728,plain,(
% 2.44/0.72 ($false = ((less @ k @ sK204)))),
% 2.44/0.72 inference(trivial_inequality_removal,[],[f2726])).
% 2.44/0.72 thf(f4323,plain,(
% 2.44/0.72 ($true = $false) | ($true = ((less @ k @ sK204)))),
% 2.44/0.72 inference(constrained_superposition,[],[f1394,f2631])).
% 2.44/0.72 thf(f4324,plain,(
% 2.44/0.72 ($true = ((less @ k @ sK204)))),
% 2.44/0.72 inference(trivial_inequality_removal,[],[f4323])).
% 2.44/0.72 thf(f4333,plain,(
% 2.44/0.72 ($true = $false)),
% 2.44/0.72 inference(forward_demodulation,[],[f4324,f2728])).
% 2.44/0.72 thf(f4334,plain,(
% 2.44/0.72 $false),
% 2.44/0.72 inference(trivial_inequality_removal,[],[f4333])).
% 2.44/0.72 % SZS output end Proof for theBenchmark
% 2.44/0.72 % (460719)------------------------------
% 2.44/0.72 % (460719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.72 % (460719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.72 % (460719)CaDiCaL version: 2.1.3
% 2.44/0.72 % (460719)Termination reason: Refutation
% 2.44/0.72 % (460719)Time elapsed: 0.324 s
% 2.44/0.72 % (460719)Peak memory usage: 15 MB
% 2.44/0.72 % (460719)Instructions burned: 368 (million)
% 2.44/0.72 % (460712)Success in time 0.387 s
% 2.44/0.72 % Vampire exiting
%------------------------------------------------------------------------------