%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT234^1 : 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 : n015.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 5.30s 1.11s
% Output : Refutation 5.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT234^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 % Computer : n015.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Sep 29 18:16:34 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.25 Running first-order model finding
% 0.07/0.25 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
% 5.30/1.11 % (3906543)Will run a generic schedule for satisfiability detection.
% 5.30/1.11 % (3906556)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3956152043:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.30/1.11 % (3906554)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3663695486_2999 on theBenchmark for (2999ds/0Mi)
% 5.30/1.11 % (3906555)% WARNING: option uhcvi not known.
% 5.30/1.11 % (3906555)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2995988274:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.30/1.11 % (3906557)dis+10_1_sil=32000:sp=arity:random_seed=1183757121:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.30/1.11 % (3906558)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2199732970:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.30/1.11 % (3906560)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=34940470:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.30/1.11 % (3906559)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3970357287:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.30/1.11 % (3906555)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.30/1.11 % (3906558)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.30/1.11 % (3906557)Instruction limit reached!
% 5.30/1.11 % (3906557)------------------------------
% 5.30/1.11 % (3906557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.30/1.11 % (3906557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.11 % (3906557)CaDiCaL version: 2.1.3
% 5.30/1.11 % (3906557)Termination reason: Instruction limit
% 5.30/1.11 % (3906557)Termination phase: Property scanning
% 5.30/1.11 % (3906557)Time elapsed: 0.081 s
% 5.30/1.11 % (3906557)Peak memory usage: 11 MB
% 5.30/1.11 % (3906557)Instructions burned: 103 (million)
% 5.30/1.11 % (3906558)Instruction limit reached!
% 5.30/1.11 % (3906558)------------------------------
% 5.30/1.11 % (3906558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.30/1.11 % (3906558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.11 % (3906558)CaDiCaL version: 2.1.3
% 5.30/1.11 % (3906558)Termination reason: Instruction limit
% 5.30/1.11 % (3906558)Termination phase: Property scanning
% 5.30/1.11 % (3906558)Time elapsed: 0.090 s
% 5.30/1.11 % (3906558)Peak memory usage: 11 MB
% 5.30/1.11 % (3906558)Instructions burned: 116 (million)
% 5.30/1.11 % (3906559)Instruction limit reached!
% 5.30/1.11 % (3906559)------------------------------
% 5.30/1.11 % (3906559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.30/1.11 % (3906559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.11 % (3906559)CaDiCaL version: 2.1.3
% 5.30/1.11 % (3906559)Termination reason: Instruction limit
% 5.30/1.11 % (3906559)Termination phase: Property scanning
% 5.30/1.11 % (3906559)Time elapsed: 0.102 s
% 5.30/1.11 % (3906559)Peak memory usage: 11 MB
% 5.30/1.11 % (3906559)Instructions burned: 132 (million)
% 5.30/1.11 % (3906569)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=391630471:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 5.30/1.11 % Exception at run slice level
% 5.30/1.11 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.30/1.11 % (3906555)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.30/1.11 % (3906560)Instruction limit reached!
% 5.30/1.11 % (3906560)------------------------------
% 5.30/1.11 % (3906560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.30/1.11 % (3906560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.11 % (3906560)CaDiCaL version: 2.1.3
% 5.30/1.11 % (3906560)Termination reason: Instruction limit
% 5.30/1.11 % (3906560)Termination phase: Saturation
% 5.30/1.11 % (3906560)Time elapsed: 0.122 s
% 5.30/1.11 % (3906560)Peak memory usage: 12 MB
% 5.30/1.11 % (3906560)Instructions burned: 160 (million)
% 5.30/1.11 % (3906570)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2391047616:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.30/1.11 % (3906571)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=1230422234:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.30/1.11 % (3906573)ott-21_1_sil=16000:fs=off:random_seed=3088977903:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.30/1.11 % (3906574)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=530584764:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 5.30/1.11 % (3906571)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.30/1.11 % (3906570)Instruction limit reached!
% 5.30/1.11 % (3906570)------------------------------
% 5.30/1.11 % (3906570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.30/1.11 % (3906570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.11 % (3906570)CaDiCaL version: 2.1.3
% 5.30/1.11 % (3906570)Termination reason: Instruction limit
% 5.30/1.11 % (3906570)Termination phase: Property scanning
% 5.30/1.11 % (3906570)Time elapsed: 0.082 s
% 5.30/1.11 % (3906570)Peak memory usage: 11 MB
% 5.30/1.11 % (3906570)Instructions burned: 132 (million)
% 5.30/1.11 % (3906580)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2783682467:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 5.30/1.11 % Exception at run slice level
% 5.30/1.11 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.30/1.11 % (3906582)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1490559545:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 5.30/1.11 % (3906571)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.30/1.11 % (3906573)Instruction limit reached!
% 5.30/1.11 % (3906573)------------------------------
% 5.30/1.11 % (3906573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.30/1.11 % (3906573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.11 % (3906573)CaDiCaL version: 2.1.3
% 5.30/1.11 % (3906573)Termination reason: Instruction limit
% 5.30/1.11 % (3906573)Termination phase: Saturation
% 5.30/1.11 % (3906573)Time elapsed: 0.135 s
% 5.30/1.11 % (3906573)Peak memory usage: 12 MB
% 5.30/1.11 % (3906573)Instructions burned: 181 (million)
% 5.30/1.11 % (3906585)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2611818351:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 5.30/1.11 % Exception at run slice level
% 5.30/1.11 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.30/1.11 % (3906590)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=2278474954:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 5.30/1.11 % (3906590)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.30/1.11 % Exception at run slice level
% 5.30/1.11 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.30/1.11 % (3906597)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2783813189:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 5.30/1.11 % (3906597)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.30/1.11 % (3906574)Instruction limit reached!
% 5.30/1.11 % (3906574)------------------------------
% 5.30/1.11 % (3906574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.30/1.11 % (3906574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.11 % (3906574)CaDiCaL version: 2.1.3
% 5.30/1.11 % (3906574)Termination reason: Instruction limit
% 5.30/1.11 % (3906574)Termination phase: Saturation
% 5.30/1.11 % (3906574)Time elapsed: 0.381 s
% 5.30/1.11 % (3906574)Peak memory usage: 14 MB
% 5.30/1.11 % (3906574)Instructions burned: 478 (million)
% 5.30/1.11 % (3906601)fmb+10_1_sil=64000:random_seed=3312167875:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 5.30/1.11 % (3906601)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 5.30/1.11 % Exception at run slice level
% 5.30/1.11 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.30/1.11 % (3906571)Instruction limit reached!
% 5.30/1.11 % (3906571)------------------------------
% 5.30/1.11 % (3906571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.30/1.11 % (3906571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.11 % (3906571)CaDiCaL version: 2.1.3
% 5.30/1.11 % (3906571)Termination reason: Instruction limit
% 5.30/1.11 % (3906571)Termination phase: Saturation
% 5.30/1.11 % (3906571)Time elapsed: 0.546 s
% 5.30/1.11 % (3906571)Peak memory usage: 15 MB
% 5.30/1.11 % (3906571)Instructions burned: 684 (million)
% 5.30/1.11 % (3906609)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=332639343:fmbsr=1.7:i=920_2992 on theBenchmark for (2992ds/920Mi)
% 5.30/1.11 % (3906607)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4003655000:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 5.30/1.11 % (3906590) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3906543-3906590"...
% 5.30/1.11 % (3906590)...printing done.
% 5.30/1.11 % (3906590)Refutation found. Thanks to Tanya!
% 5.30/1.11 % SZS status Theorem for theBenchmark
% 5.30/1.11 % SZS output start Proof for theBenchmark
% 5.30/1.11 thf(type_def_5, type, rBT_Im1923302023_color: $tType).
% 5.30/1.11 thf(type_def_6, type, rBT_Im246033960le_rbt: ($tType * $tType) > $tType).
% 5.30/1.11 thf(type_def_7, type, product_prod: ($tType * $tType) > $tType).
% 5.30/1.11 thf(type_def_8, type, option: $tType > $tType).
% 5.30/1.11 thf(type_def_9, type, list: $tType > $tType).
% 5.30/1.11 thf(type_def_10, type, set: $tType > $tType).
% 5.30/1.11 thf(type_def_11, type, itself: $tType > $tType).
% 5.30/1.11 thf(type_def_12, type, b: $tType).
% 5.30/1.11 thf(type_def_13, type, a: $tType).
% 5.30/1.11 thf(type_def_14, type, sTfun: ($tType * $tType) > $tType).
% 5.30/1.11 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.30/1.11 thf(func_def_1, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.30/1.11 thf(func_def_2, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.30/1.11 thf(func_def_3, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 5.30/1.11 thf(func_def_4, type, nil: !>[X0: $tType]:(list @ X0)).
% 5.30/1.11 thf(func_def_5, type, set2: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 5.30/1.11 thf(func_def_6, type, lexordp: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 5.30/1.11 thf(func_def_7, type, lexordp_eq: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 5.30/1.11 thf(func_def_8, type, map_of: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > X0 > option @ X1))).
% 5.30/1.11 thf(func_def_9, type, none: !>[X0: $tType]:(option @ X0)).
% 5.30/1.11 thf(func_def_10, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 5.30/1.11 thf(func_def_11, type, strict_mono: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > $o))).
% 5.30/1.11 thf(func_def_12, type, type2: !>[X0: $tType]:(itself @ X0)).
% 5.30/1.11 thf(func_def_13, type, rBT_Im1648453169alance: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X0 > X1 > rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 5.30/1.11 thf(func_def_14, type, rBT_Im1278323832e_left: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X0 > X1 > rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 5.30/1.11 thf(func_def_15, type, rBT_Im1053358987_right: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X0 > X1 > rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 5.30/1.11 thf(func_def_16, type, rBT_Impl_Mirabelle_B: rBT_Im1923302023_color).
% 5.30/1.11 thf(func_def_17, type, rBT_Impl_Mirabelle_R: rBT_Im1923302023_color).
% 5.30/1.11 thf(func_def_18, type, rBT_Im1591839508ombine: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 5.30/1.11 thf(func_def_19, type, rBT_Im954575269ntries: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > list @ product_prod @ X0 @ X1))).
% 5.30/1.11 thf(func_def_20, type, rBT_Im862805236is_rbt: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 5.30/1.11 thf(func_def_21, type, rBT_Im1259024060reater: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > X0 > rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 5.30/1.11 thf(func_def_22, type, rBT_Im1756508336bt_ins: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1 > X1 > X1) > X0 > X1 > rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 5.30/1.11 thf(func_def_23, type, rBT_Im852463031insert: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > X0 > X1 > rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 5.30/1.11 thf(func_def_24, type, rBT_Im241132701t_with: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X1 > X1) > X0 > X1 > rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 5.30/1.11 thf(func_def_25, type, rBT_Im627674146th_key: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1 > X1 > X1) > X0 > X1 > rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 5.30/1.11 thf(func_def_26, type, rBT_Im2075124343t_less: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > X0 > rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 5.30/1.11 thf(func_def_27, type, rBT_Im35466040lookup: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > X0 > option @ X1))).
% 5.30/1.11 thf(func_def_28, type, rBT_Im759614907sorted: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 5.30/1.11 thf(func_def_29, type, rBT_Im945281971_paint: !>[X0: $tType, X1: $tType]:((rBT_Im1923302023_color > rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 5.30/1.11 thf(func_def_30, 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))).
% 5.30/1.11 thf(func_def_31, type, rBT_Im418718756_Empty: !>[X0: $tType, X1: $tType]:(rBT_Im246033960le_rbt @ X0 @ X1)).
% 5.30/1.11 thf(func_def_32, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 5.30/1.11 thf(func_def_33, type, set_greaterThan: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 5.30/1.11 thf(func_def_34, type, set_lessThan: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 5.30/1.11 thf(func_def_35, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 5.30/1.11 thf(func_def_36, type, a2: rBT_Im246033960le_rbt @ a @ b).
% 5.30/1.11 thf(func_def_37, type, b2: rBT_Im246033960le_rbt @ a @ b).
% 5.30/1.11 thf(func_def_38, type, c: rBT_Im246033960le_rbt @ a @ b).
% 5.30/1.11 thf(func_def_39, type, d: rBT_Im246033960le_rbt @ a @ b).
% 5.30/1.11 thf(func_def_40, type, k: a).
% 5.30/1.11 thf(func_def_41, type, l: rBT_Im246033960le_rbt @ a @ b).
% 5.30/1.11 thf(func_def_42, type, less: (a > a > $o)).
% 5.30/1.11 thf(func_def_43, type, r: rBT_Im246033960le_rbt @ a @ b).
% 5.30/1.11 thf(func_def_44, type, v: b).
% 5.30/1.11 thf(func_def_45, type, w: b).
% 5.30/1.11 thf(func_def_46, type, x: a).
% 5.30/1.11 thf(func_def_47, type, y: a).
% 5.30/1.11 thf(func_def_51, type, vNOT: ($o > $o)).
% 5.30/1.11 thf(func_def_52, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 5.30/1.11 thf(func_def_53, type, vOR: ($o > $o > $o)).
% 5.30/1.11 thf(func_def_54, type, db0: !>[X0: $tType]:(X0)).
% 5.30/1.11 thf(func_def_55, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 5.30/1.11 thf(func_def_56, type, vAND: ($o > $o > $o)).
% 5.30/1.11 thf(func_def_57, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 5.30/1.11 thf(func_def_58, type, vIMP: ($o > $o > $o)).
% 5.30/1.11 thf(func_def_59, type, db1: !>[X0: $tType]:(X0)).
% 5.30/1.11 thf(func_def_60, type, db4: !>[X0: $tType]:(X0)).
% 5.30/1.11 thf(func_def_61, type, db3: !>[X0: $tType]:(X0)).
% 5.30/1.11 thf(func_def_62, type, db2: !>[X0: $tType]:(X0)).
% 5.30/1.11 thf(func_def_63, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 5.30/1.11 thf(func_def_64, type, db5: !>[X0: $tType]:(X0)).
% 5.30/1.11 thf(func_def_65, type, db6: !>[X0: $tType]:(X0)).
% 5.30/1.11 thf(func_def_66, type, sP0: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > $o) > $o))).
% 5.30/1.11 thf(func_def_67, type, sP1: !>[X0: $tType]:((((a > X0 > X0 > X0) > a > X0 > rBT_Im246033960le_rbt @ a @ X0 > $o) > $o))).
% 5.30/1.11 thf(func_def_68, type, sP2: !>[X0: $tType]:((((a > X0 > X0 > X0) > a > X0 > rBT_Im246033960le_rbt @ a @ X0 > $o) > $o))).
% 5.30/1.11 thf(func_def_69, type, sP3: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > $o))).
% 5.30/1.11 thf(func_def_70, type, sP4: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > $o))).
% 5.30/1.11 thf(func_def_71, type, sP5: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > $o))).
% 5.30/1.11 thf(func_def_72, type, sP6: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > ((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > $o))).
% 5.30/1.11 thf(func_def_73, type, sP7: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > ((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > $o))).
% 5.30/1.11 thf(func_def_74, type, sP8: !>[X0: $tType, X1: $tType]:((((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > $o))).
% 5.30/1.11 thf(func_def_75, type, sP9: !>[X0: $tType, X1: $tType]:((((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > $o))).
% 5.30/1.11 thf(func_def_76, type, sP10: (list @ a > a > $o)).
% 5.30/1.11 thf(func_def_77, type, sP11: (list @ a > a > a > list @ a > $o)).
% 5.30/1.11 thf(func_def_78, type, sP12: (list @ a > list @ a > $o)).
% 5.30/1.11 thf(func_def_79, type, sP13: (list @ a > list @ a > $o)).
% 5.30/1.11 thf(func_def_80, type, sP14: ((list @ a > list @ a > $o) > $o)).
% 5.30/1.11 thf(func_def_81, type, sP15: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0 > $o))).
% 5.30/1.11 thf(func_def_82, type, sP16: !>[X0: $tType]:((list @ X0 > X0 > X0 > (X0 > X0 > $o) > list @ X0 > $o))).
% 5.30/1.11 thf(func_def_83, type, sP17: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 5.30/1.11 thf(func_def_84, type, sP18: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > $o))).
% 5.30/1.11 thf(func_def_85, type, sP19: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > $o))).
% 5.30/1.11 thf(func_def_86, type, sP20: !>[X0: $tType]:(((list @ X0 > $o) > $o))).
% 5.30/1.11 thf(func_def_87, type, sP21: !>[X0: $tType]:(((list @ X0 > $o) > $o))).
% 5.30/1.11 thf(func_def_88, type, sP22: ((list @ a > list @ a > $o) > $o)).
% 5.30/1.11 thf(func_def_89, type, sK23: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_90, type, sK24: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 5.30/1.11 thf(func_def_91, type, sK25: !>[X0: $tType]:(((a > X0) > a))).
% 5.30/1.11 thf(func_def_92, type, sK26: !>[X0: $tType]:(((a > X0) > a))).
% 5.30/1.11 thf(func_def_93, type, sK27: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im1923302023_color))).
% 5.30/1.11 thf(func_def_94, type, sK28: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_95, type, sK29: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1))).
% 5.30/1.11 thf(func_def_96, type, sK30: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_97, type, sK31: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_98, type, sK32: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im1923302023_color))).
% 5.30/1.11 thf(func_def_99, type, sK33: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_100, type, sK34: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > X1))).
% 5.30/1.11 thf(func_def_101, type, sK35: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > X0))).
% 5.30/1.11 thf(func_def_102, type, sK36: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_103, type, sK37: !>[X0: $tType]:((((a > X0 > X0 > X0) > a > X0 > rBT_Im246033960le_rbt @ a @ X0 > $o) > a > X0 > X0 > X0))).
% 5.30/1.11 thf(func_def_104, type, sK38: !>[X0: $tType]:((((a > X0 > X0 > X0) > a > X0 > rBT_Im246033960le_rbt @ a @ X0 > $o) > a))).
% 5.30/1.11 thf(func_def_105, type, sK39: !>[X0: $tType]:((((a > X0 > X0 > X0) > a > X0 > rBT_Im246033960le_rbt @ a @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_106, type, sK40: !>[X0: $tType]:((((a > X0 > X0 > X0) > a > X0 > rBT_Im246033960le_rbt @ a @ X0 > $o) > rBT_Im246033960le_rbt @ a @ X0))).
% 5.30/1.11 thf(func_def_107, type, sK41: !>[X0: $tType]:((((a > X0 > X0 > X0) > a > X0 > rBT_Im246033960le_rbt @ a @ X0 > $o) > a))).
% 5.30/1.11 thf(func_def_108, type, sK42: !>[X0: $tType]:((((a > X0 > X0 > X0) > a > X0 > rBT_Im246033960le_rbt @ a @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_109, type, sK43: !>[X0: $tType]:((((a > X0 > X0 > X0) > a > X0 > rBT_Im246033960le_rbt @ a @ X0 > $o) > rBT_Im246033960le_rbt @ a @ X0))).
% 5.30/1.11 thf(func_def_110, type, sK44: !>[X0: $tType]:((((a > X0 > X0 > X0) > a > X0 > rBT_Im246033960le_rbt @ a @ X0 > $o) > a > X0 > X0 > X0))).
% 5.30/1.11 thf(func_def_111, type, sK45: !>[X0: $tType]:((((a > X0 > X0 > X0) > a > X0 > rBT_Im246033960le_rbt @ a @ X0 > $o) > a))).
% 5.30/1.11 thf(func_def_112, type, sK46: !>[X0: $tType]:((((a > X0 > X0 > X0) > a > X0 > rBT_Im246033960le_rbt @ a @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_113, type, sK47: !>[X0: $tType]:((((a > X0 > X0 > X0) > a > X0 > rBT_Im246033960le_rbt @ a @ X0 > $o) > rBT_Im246033960le_rbt @ a @ X0))).
% 5.30/1.11 thf(func_def_114, type, sK48: !>[X0: $tType]:((((a > X0 > X0 > X0) > a > X0 > rBT_Im246033960le_rbt @ a @ X0 > $o) > a))).
% 5.30/1.11 thf(func_def_115, type, sK49: !>[X0: $tType]:((((a > X0 > X0 > X0) > a > X0 > rBT_Im246033960le_rbt @ a @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_116, type, sK50: !>[X0: $tType]:((((a > X0 > X0 > X0) > a > X0 > rBT_Im246033960le_rbt @ a @ X0 > $o) > rBT_Im246033960le_rbt @ a @ X0))).
% 5.30/1.11 thf(func_def_117, type, sK51: !>[X0: $tType]:((((a > X0 > X0 > X0) > a > X0 > rBT_Im246033960le_rbt @ a @ X0 > $o) > a > X0 > X0 > X0))).
% 5.30/1.11 thf(func_def_118, type, sK52: !>[X0: $tType]:((((a > X0 > X0 > X0) > a > X0 > rBT_Im246033960le_rbt @ a @ X0 > $o) > a))).
% 5.30/1.11 thf(func_def_119, type, sK53: !>[X0: $tType]:((((a > X0 > X0 > X0) > a > X0 > rBT_Im246033960le_rbt @ a @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_120, type, sK54: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_121, type, sK55: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > X1))).
% 5.30/1.11 thf(func_def_122, type, sK56: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > X0))).
% 5.30/1.11 thf(func_def_123, type, sK57: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_124, type, sK58: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_125, type, sK59: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > X1))).
% 5.30/1.11 thf(func_def_126, type, sK60: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > X0))).
% 5.30/1.11 thf(func_def_127, type, sK61: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_128, type, sK62: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_129, type, sK63: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1))).
% 5.30/1.11 thf(func_def_130, type, sK64: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_131, type, sK65: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_132, type, sK66: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_133, type, sK67: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1))).
% 5.30/1.11 thf(func_def_134, type, sK68: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_135, type, sK69: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_136, type, sK70: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_137, type, sK71: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1))).
% 5.30/1.11 thf(func_def_138, type, sK72: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_139, type, sK73: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_140, type, sK74: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_141, type, sK75: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1))).
% 5.30/1.11 thf(func_def_142, type, sK76: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_143, type, sK77: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_144, type, sK78: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_145, type, sK79: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1))).
% 5.30/1.11 thf(func_def_146, type, sK80: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_147, type, sK81: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_148, type, sK82: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_149, type, sK83: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1))).
% 5.30/1.11 thf(func_def_150, type, sK84: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_151, type, sK85: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_152, type, sK86: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_153, type, sK87: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1))).
% 5.30/1.11 thf(func_def_154, type, sK88: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_155, type, sK89: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_156, type, sK90: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_157, type, sK91: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1))).
% 5.30/1.11 thf(func_def_158, type, sK92: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_159, type, sK93: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_160, type, sK94: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im1923302023_color))).
% 5.30/1.11 thf(func_def_161, type, sK95: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_162, type, sK96: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1))).
% 5.30/1.11 thf(func_def_163, type, sK97: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_164, type, sK98: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_165, type, sK99: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_166, type, sK100: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > ((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1 > X0 > X0 > X0))).
% 5.30/1.11 thf(func_def_167, type, sK101: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > ((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1))).
% 5.30/1.11 thf(func_def_168, type, sK102: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > ((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_169, type, sK103: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > ((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_170, type, sK104: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > ((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1))).
% 5.30/1.11 thf(func_def_171, type, sK105: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > ((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_172, type, sK106: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > ((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_173, type, sK107: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > ((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1 > X0 > X0 > X0))).
% 5.30/1.11 thf(func_def_174, type, sK108: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > ((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1))).
% 5.30/1.11 thf(func_def_175, type, sK109: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > ((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_176, type, sK110: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > ((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_177, type, sK111: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > ((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1))).
% 5.30/1.11 thf(func_def_178, type, sK112: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > ((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_179, type, sK113: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > ((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_180, type, sK114: !>[X0: $tType, X1: $tType]:((((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1 > X0 > X0 > X0))).
% 5.30/1.11 thf(func_def_181, type, sK115: !>[X0: $tType, X1: $tType]:((((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1))).
% 5.30/1.11 thf(func_def_182, type, sK116: !>[X0: $tType, X1: $tType]:((((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_183, type, sK117: !>[X0: $tType, X1: $tType]:((((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1 > X0 > X0 > X0))).
% 5.30/1.11 thf(func_def_184, type, sK118: !>[X0: $tType, X1: $tType]:((((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1))).
% 5.30/1.11 thf(func_def_185, type, sK119: !>[X0: $tType, X1: $tType]:((((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_186, type, sK120: !>[X0: $tType, X1: $tType]:((((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_187, type, sK121: !>[X0: $tType, X1: $tType]:((((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1))).
% 5.30/1.11 thf(func_def_188, type, sK122: !>[X0: $tType, X1: $tType]:((((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_189, type, sK123: !>[X0: $tType, X1: $tType]:((((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_190, type, sK124: !>[X0: $tType, X1: $tType]:((((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1 > X0 > X0 > X0))).
% 5.30/1.11 thf(func_def_191, type, sK125: !>[X0: $tType, X1: $tType]:((((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1))).
% 5.30/1.11 thf(func_def_192, type, sK126: !>[X0: $tType, X1: $tType]:((((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_193, type, sK127: !>[X0: $tType, X1: $tType]:((((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_194, type, sK128: !>[X0: $tType, X1: $tType]:((((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1))).
% 5.30/1.11 thf(func_def_195, type, sK129: !>[X0: $tType, X1: $tType]:((((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_196, type, sK130: !>[X0: $tType, X1: $tType]:((((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 5.30/1.11 thf(func_def_197, type, sK131: !>[X0: $tType, X1: $tType]:((((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1 > X0 > X0 > X0))).
% 5.30/1.11 thf(func_def_198, type, sK132: !>[X0: $tType, X1: $tType]:((((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1))).
% 5.30/1.11 thf(func_def_199, type, sK133: !>[X0: $tType, X1: $tType]:((((X1 > X0 > X0 > X0) > X1 > X0 > rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_200, type, sK134: (list @ a > list @ a > a)).
% 5.30/1.11 thf(func_def_201, type, sK135: (list @ a > list @ a > list @ a)).
% 5.30/1.11 thf(func_def_202, type, sK136: (list @ a > list @ a)).
% 5.30/1.11 thf(func_def_203, type, sK137: (list @ a > a > a > list @ a > list @ a)).
% 5.30/1.11 thf(func_def_204, type, sK138: (list @ a > a > a)).
% 5.30/1.11 thf(func_def_205, type, sK139: (list @ a > a > list @ a)).
% 5.30/1.11 thf(func_def_206, type, sK140: (list @ a > list @ a > a)).
% 5.30/1.11 thf(func_def_207, type, sK141: (list @ a > list @ a > a)).
% 5.30/1.11 thf(func_def_208, type, sK142: (list @ a > list @ a > list @ a)).
% 5.30/1.11 thf(func_def_209, type, sK143: ((list @ a > list @ a > $o) > a)).
% 5.30/1.11 thf(func_def_210, type, sK144: ((list @ a > list @ a > $o) > a)).
% 5.30/1.11 thf(func_def_211, type, sK145: ((list @ a > list @ a > $o) > list @ a)).
% 5.30/1.11 thf(func_def_212, type, sK146: ((list @ a > list @ a > $o) > list @ a)).
% 5.30/1.11 thf(func_def_213, type, sK147: ((list @ a > list @ a > $o) > a)).
% 5.30/1.11 thf(func_def_214, type, sK148: ((list @ a > list @ a > $o) > a)).
% 5.30/1.11 thf(func_def_215, type, sK149: ((list @ a > list @ a > $o) > list @ a)).
% 5.30/1.11 thf(func_def_216, type, sK150: ((list @ a > list @ a > $o) > list @ a)).
% 5.30/1.11 thf(func_def_217, type, sK151: ((list @ a > list @ a > $o) > list @ a)).
% 5.30/1.11 thf(func_def_218, type, sK152: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_219, type, sK153: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 5.30/1.11 thf(func_def_220, type, sK154: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 5.30/1.11 thf(func_def_221, type, sK155: !>[X0: $tType]:((list @ X0 > X0 > X0 > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 5.30/1.11 thf(func_def_222, type, sK156: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0 > X0))).
% 5.30/1.11 thf(func_def_223, type, sK157: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0 > list @ X0))).
% 5.30/1.11 thf(func_def_224, type, sK158: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_225, type, sK159: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_226, type, sK160: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 5.30/1.11 thf(func_def_227, type, sK161: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_228, type, sK162: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_229, type, sK163: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 5.30/1.11 thf(func_def_230, type, sK164: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 5.30/1.11 thf(func_def_231, type, sK165: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_232, type, sK166: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_233, type, sK167: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 5.30/1.11 thf(func_def_234, type, sK168: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 5.30/1.11 thf(func_def_235, type, sK169: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 5.30/1.11 thf(func_def_236, type, sK170: !>[X0: $tType]:((list @ X0 > X0))).
% 5.30/1.11 thf(func_def_237, type, sK171: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 5.30/1.11 thf(func_def_238, type, sK172: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_239, type, sK173: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 5.30/1.11 thf(func_def_240, type, sK174: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 5.30/1.11 thf(func_def_241, type, sK175: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 5.30/1.11 thf(func_def_242, type, sK176: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 5.30/1.11 thf(func_def_243, type, sK177: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 5.30/1.11 thf(func_def_244, type, sK178: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 5.30/1.11 thf(func_def_245, type, sK179: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 5.30/1.11 thf(func_def_246, type, sK180: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 5.30/1.11 thf(func_def_247, type, sK181: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 5.30/1.11 thf(func_def_248, type, sK182: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_249, type, sK183: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 5.30/1.11 thf(func_def_250, type, sK184: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_251, type, sK185: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 5.30/1.11 thf(func_def_252, type, sK186: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_253, type, sK187: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 5.30/1.11 thf(func_def_254, type, sK188: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 5.30/1.11 thf(func_def_255, type, sK189: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 5.30/1.11 thf(func_def_256, type, sK190: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 5.30/1.11 thf(func_def_257, type, sK191: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 5.30/1.11 thf(func_def_258, type, sK192: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 5.30/1.11 thf(func_def_259, type, sK193: !>[X0: $tType]:((list @ X0 > X0))).
% 5.30/1.11 thf(func_def_260, type, sK194: !>[X0: $tType]:((list @ X0 > X0))).
% 5.30/1.11 thf(func_def_261, type, sK195: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 5.30/1.11 thf(func_def_262, type, sK196: !>[X0: $tType]:((list @ X0 > X0))).
% 5.30/1.11 thf(func_def_263, type, sK197: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_264, type, sK198: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_265, type, sK199: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 5.30/1.11 thf(func_def_266, type, sK200: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_267, type, sK201: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_268, type, sK202: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 5.30/1.11 thf(func_def_269, type, sK203: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 5.30/1.11 thf(func_def_270, type, sK204: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 5.30/1.11 thf(func_def_271, type, sK205: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0))).
% 5.30/1.11 thf(func_def_272, type, sK206: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0))).
% 5.30/1.11 thf(func_def_273, type, sK207: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 5.30/1.11 thf(func_def_274, type, sK208: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 5.30/1.11 thf(func_def_275, type, sK209: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 5.30/1.11 thf(func_def_276, type, sK210: ((list @ a > list @ a > $o) > a)).
% 5.30/1.11 thf(func_def_277, type, sK211: ((list @ a > list @ a > $o) > list @ a)).
% 5.30/1.11 thf(func_def_278, type, sK212: ((list @ a > list @ a > $o) > list @ a)).
% 5.30/1.11 thf(func_def_279, type, sK213: ((list @ a > list @ a > $o) > a)).
% 5.30/1.11 thf(func_def_280, type, sK214: ((list @ a > list @ a > $o) > list @ a)).
% 5.30/1.11 thf(func_def_281, type, sK215: ((list @ a > list @ a > $o) > a)).
% 5.30/1.11 thf(func_def_282, type, sK216: ((list @ a > list @ a > $o) > list @ a)).
% 5.30/1.11 thf(func_def_283, type, sK217: ((list @ a > list @ a > $o) > a)).
% 5.30/1.11 thf(func_def_284, type, sK218: ((list @ a > list @ a > $o) > list @ a)).
% 5.30/1.11 thf(func_def_285, type, sK219: a).
% 5.30/1.11 thf(func_def_286, type, sK220: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 5.30/1.11 thf(func_def_287, type, sK221: !>[X0: $tType]:((list @ X0 > X0))).
% 5.30/1.11 thf(func_def_288, type, sK222: (list @ a > list @ a > list @ a)).
% 5.30/1.11 thf(func_def_289, type, sK223: (list @ a > list @ a > list @ a)).
% 5.30/1.11 thf(func_def_290, type, sK224: (list @ a > list @ a > list @ a)).
% 5.30/1.11 thf(func_def_291, type, sK225: (list @ a > list @ a > list @ a)).
% 5.30/1.11 thf(func_def_292, type, sK226: (list @ a > list @ a > list @ a)).
% 5.30/1.11 thf(func_def_293, type, sK227: (list @ a > list @ a > a)).
% 5.30/1.11 thf(func_def_294, type, sK228: (list @ a > list @ a > a)).
% 5.30/1.11 thf(func_def_295, type, sK229: (list @ a > list @ a > a)).
% 5.30/1.11 thf(func_def_296, type, sK230: (list @ a > list @ a > a)).
% 5.30/1.11 thf(func_def_297, type, sK231: (list @ a > list @ a > a)).
% 5.30/1.11 thf(func_def_298, type, sK232: (list @ a > list @ a > a)).
% 5.30/1.11 thf(func_def_299, type, sK233: (list @ a > list @ a > a)).
% 5.30/1.11 thf(func_def_300, type, sK234: (list @ a > list @ a > a)).
% 5.30/1.11 thf(func_def_301, type, sK235: !>[X0: $tType]:(((a > X0) > a))).
% 5.30/1.11 thf(func_def_302, type, sK236: !>[X0: $tType]:(((a > X0) > a))).
% 5.30/1.11 thf(func_def_304, type, sK238: !>[X0: $tType]:(((list @ X0 > a > a > $o) > a))).
% 5.30/1.11 thf(func_def_305, type, sK239: !>[X0: $tType]:(((list @ X0 > a > a > $o) > a))).
% 5.30/1.11 thf(func_def_306, type, sK240: !>[X0: $tType]:(((list @ X0 > a > a > a) > a))).
% 5.30/1.11 thf(func_def_307, type, sK241: !>[X0: $tType]:(((list @ X0 > a > a > a) > a))).
% 5.30/1.11 thf(func_def_308, type, db8: !>[X0: $tType]:(X0)).
% 5.30/1.11 thf(func_def_309, type, db7: !>[X0: $tType]:(X0)).
% 5.30/1.11 thf(func_def_310, type, sK242: !>[X0: $tType]:(list @ X0)).
% 5.30/1.11 thf(func_def_311, type, sK243: !>[X0: $tType]:(a)).
% 5.30/1.11 thf(func_def_312, type, sK244: !>[X0: $tType]:(a)).
% 5.30/1.11 thf(func_def_313, type, sK245: !>[X0: $tType]:(list @ X0)).
% 5.30/1.11 thf(func_def_314, type, sK246: !>[X0: $tType]:(a)).
% 5.30/1.11 thf(func_def_315, type, sK247: !>[X0: $tType]:(a)).
% 5.30/1.11 thf(func_def_316, type, sK248: !>[X0: $tType]:(a)).
% 5.30/1.11 thf(func_def_317, type, sK249: !>[X0: $tType]:(((list @ X0 > a > a > a) > a))).
% 5.30/1.11 thf(f26,axiom,(
% 5.30/1.11 ! [X0 : $tType,X1 : a,X2 : a,X3 : rBT_Im246033960le_rbt @ a @ X0] : ((less @ X1 @ X2) => ((rBT_Im1259024060reater @ a @ X0 @ less @ X2 @ X3) => (rBT_Im1259024060reater @ a @ X0 @ less @ X1 @ X3)))),
% 5.30/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_local_Orbt__greater__trans)).
% 5.30/1.11 thf(f27,axiom,(
% 5.30/1.11 (rBT_Im1259024060reater @ a @ b @ less @ y @ d) & (less @ x @ y)),
% 5.30/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26__092_060open_062x_A_060_Ay_A_092_060and_062_Ay_A_092_060guillemotleft_062_124_Ad_092_060close_062)).
% 5.30/1.11 thf(f262,conjecture,(
% 5.30/1.11 (rBT_Im1259024060reater @ a @ b @ less @ x @ d)),
% 5.30/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 5.30/1.11 thf(f263,negated_conjecture,(
% 5.30/1.11 ~(rBT_Im1259024060reater @ a @ b @ less @ x @ d)),
% 5.30/1.11 inference(negated_conjecture,[status(cth)],[f262])).
% 5.30/1.11 thf(f314,plain,(
% 5.30/1.11 ! [X0 : $tType,X1 : a,X2 : a,X3 : rBT_Im246033960le_rbt @ a @ X0] : ((less @ X1 @ X2) => ((rBT_Im1259024060reater @ a @ X0 @ less @ X2 @ X3) => (rBT_Im1259024060reater @ a @ X0 @ less @ X1 @ X3)))),
% 5.30/1.11 inference(rectify,[],[f26])).
% 5.30/1.11 thf(f315,plain,(
% 5.30/1.11 ! [X0 : $tType,X1 : a,X2 : a,X3 : rBT_Im246033960le_rbt @ a @ X0] : ((((less @ X1 @ X2)) = $true) => ((((rBT_Im1259024060reater @ a @ X0 @ less @ X2 @ X3)) = $true) => (((rBT_Im1259024060reater @ a @ X0 @ less @ X1 @ X3)) = $true)))),
% 5.30/1.11 inference(fool_elimination,[],[f314])).
% 5.30/1.11 thf(f316,plain,(
% 5.30/1.11 (rBT_Im1259024060reater @ a @ b @ less @ y @ d) & (less @ x @ y)),
% 5.30/1.11 inference(rectify,[],[f27])).
% 5.30/1.11 thf(f317,plain,(
% 5.30/1.11 (((rBT_Im1259024060reater @ a @ b @ less @ y @ d)) = $true) & (((less @ x @ y)) = $true)),
% 5.30/1.11 inference(fool_elimination,[],[f316])).
% 5.30/1.11 thf(f578,plain,(
% 5.30/1.11 ~(rBT_Im1259024060reater @ a @ b @ less @ x @ d)),
% 5.30/1.11 inference(rectify,[],[f263])).
% 5.30/1.11 thf(f579,plain,(
% 5.30/1.11 ~ (((rBT_Im1259024060reater @ a @ b @ less @ x @ d)) = $true)),
% 5.30/1.11 inference(fool_elimination,[],[f578])).
% 5.30/1.11 thf(f612,plain,(
% 5.30/1.11 (((rBT_Im1259024060reater @ a @ b @ less @ x @ d)) != $true)),
% 5.30/1.11 inference(flattening,[],[f579])).
% 5.30/1.11 thf(f641,plain,(
% 5.30/1.11 ! [X0 : $tType,X1 : a,X2 : a,X3 : rBT_Im246033960le_rbt @ a @ X0] : (((((rBT_Im1259024060reater @ a @ X0 @ less @ X1 @ X3)) = $true) | (((rBT_Im1259024060reater @ a @ X0 @ less @ X2 @ X3)) != $true)) | (((less @ X1 @ X2)) != $true))),
% 5.30/1.11 inference(ennf_transformation,[],[f315])).
% 5.30/1.11 thf(f642,plain,(
% 5.30/1.11 ! [X0 : $tType,X1 : a,X2 : a,X3 : rBT_Im246033960le_rbt @ a @ X0] : ((((rBT_Im1259024060reater @ a @ X0 @ less @ X1 @ X3)) = $true) | (((rBT_Im1259024060reater @ a @ X0 @ less @ X2 @ X3)) != $true) | (((less @ X1 @ X2)) != $true))),
% 5.30/1.11 inference(flattening,[],[f641])).
% 5.30/1.11 thf(f924,plain,(
% 5.30/1.11 ( ! [X0 : $tType,X2 : a,X3 : rBT_Im246033960le_rbt @ a @ X0,X1 : a] : ((((rBT_Im1259024060reater @ a @ X0 @ less @ X2 @ X3)) != $true) | (((rBT_Im1259024060reater @ a @ X0 @ less @ X1 @ X3)) = $true) | (((less @ X1 @ X2)) != $true)) )),
% 5.30/1.11 inference(cnf_transformation,[],[f642])).
% 5.30/1.11 thf(f925,plain,(
% 5.30/1.11 (((less @ x @ y)) = $true)),
% 5.30/1.11 inference(cnf_transformation,[],[f317])).
% 5.30/1.11 thf(f926,plain,(
% 5.30/1.11 (((rBT_Im1259024060reater @ a @ b @ less @ y @ d)) = $true)),
% 5.30/1.11 inference(cnf_transformation,[],[f317])).
% 5.30/1.11 thf(f1248,plain,(
% 5.30/1.11 (((rBT_Im1259024060reater @ a @ b @ less @ x @ d)) != $true)),
% 5.30/1.11 inference(cnf_transformation,[],[f612])).
% 5.30/1.11 thf(f2505,plain,(
% 5.30/1.11 ( ! [X0 : a] : (($true != $true) | ($true = ((rBT_Im1259024060reater @ a @ b @ less @ X0 @ d))) | ($true != ((less @ X0 @ y)))) )),
% 5.30/1.11 inference(constrained_superposition,[],[f924,f926])).
% 5.30/1.11 thf(f2506,plain,(
% 5.30/1.11 ( ! [X0 : a] : (($true != ((less @ X0 @ y))) | ($true = ((rBT_Im1259024060reater @ a @ b @ less @ X0 @ d)))) )),
% 5.30/1.11 inference(trivial_inequality_removal,[],[f2505])).
% 5.30/1.11 thf(f3311,plain,(
% 5.30/1.11 ($true != $true) | (((rBT_Im1259024060reater @ a @ b @ less @ x @ d)) = $true)),
% 5.30/1.11 inference(constrained_superposition,[],[f2506,f925])).
% 5.30/1.11 thf(f3313,plain,(
% 5.30/1.11 (((rBT_Im1259024060reater @ a @ b @ less @ x @ d)) = $true)),
% 5.30/1.11 inference(trivial_inequality_removal,[],[f3311])).
% 5.30/1.11 thf(f3319,plain,(
% 5.30/1.11 $false),
% 5.30/1.11 inference(forward_subsumption_resolution,[],[f3313,f1248])).
% 5.30/1.11 % SZS output end Proof for theBenchmark
% 5.30/1.11 % (3906590)------------------------------
% 5.30/1.11 % (3906590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.30/1.11 % (3906590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.11 % (3906590)CaDiCaL version: 2.1.3
% 5.30/1.11 % (3906590)Termination reason: Refutation
% 5.30/1.11 % (3906590)Time elapsed: 0.382 s
% 5.30/1.11 % (3906590)Peak memory usage: 17 MB
% 5.30/1.11 % (3906590)Instructions burned: 520 (million)
% 5.30/1.11 % (3906543)Success in time 0.847 s
% 5.30/1.11 % Vampire exiting
%------------------------------------------------------------------------------