%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP072^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:35 AM UTC 2026
% Result : Theorem 0.79s 0.40s
% Output : Refutation 0.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP072^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n026.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 19:49:57 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.79/0.39 % (1093651)Will run a generic schedule for satisfiability detection.
% 0.79/0.39 % (1093660)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3393009183:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.79/0.39 % (1093657)% WARNING: option uhcvi not known.
% 0.79/0.39 % (1093656)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3994746591_2999 on theBenchmark for (2999ds/0Mi)
% 0.79/0.39 % (1093657)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4121240738:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.79/0.39 % (1093658)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=63990366:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.79/0.39 % (1093659)dis+10_1_sil=32000:sp=arity:random_seed=3479849303:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.79/0.39 % (1093661)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1110710910:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.79/0.39 % (1093662)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4263054287:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.79/0.39 % (1093660)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.79/0.39 % (1093657)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.79/0.39 % (1093660)Instruction limit reached!
% 0.79/0.39 % (1093660)------------------------------
% 0.79/0.39 % (1093660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.39 % (1093660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.39 % (1093660)CaDiCaL version: 2.1.3
% 0.79/0.39 % (1093660)Termination reason: Instruction limit
% 0.79/0.39 % (1093660)Termination phase: Saturation
% 0.79/0.39 % (1093660)Time elapsed: 0.027 s
% 0.79/0.39 % (1093660)Peak memory usage: 12 MB
% 0.79/0.39 % (1093660)Instructions burned: 119 (million)
% 0.79/0.39 % (1093670)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2186796553:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.79/0.39 % (1093659)Instruction limit reached!
% 0.79/0.39 % (1093659)------------------------------
% 0.79/0.39 % (1093659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.40 % (1093659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.40 % (1093659)CaDiCaL version: 2.1.3
% 0.79/0.40 % (1093659)Termination reason: Instruction limit
% 0.79/0.40 % (1093659)Termination phase: Property scanning
% 0.79/0.40 % (1093659)Time elapsed: 0.043 s
% 0.79/0.40 % (1093659)Peak memory usage: 11 MB
% 0.79/0.40 % (1093659)Instructions burned: 103 (million)
% 0.79/0.40 % Exception at run slice level
% 0.79/0.40 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.79/0.40 % (1093657)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.79/0.40 % Exception at run slice level
% 0.79/0.40 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.79/0.40 % (1093661)Instruction limit reached!
% 0.79/0.40 % (1093661)------------------------------
% 0.79/0.40 % (1093661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.40 % (1093661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.40 % (1093661)CaDiCaL version: 2.1.3
% 0.79/0.40 % (1093661)Termination reason: Instruction limit
% 0.79/0.40 % (1093661)Termination phase: Saturation
% 0.79/0.40 % (1093661)Time elapsed: 0.056 s
% 0.79/0.40 % (1093661)Peak memory usage: 13 MB
% 0.79/0.40 % (1093661)Instructions burned: 133 (million)
% 0.79/0.40 % (1093674)ott-21_1_sil=16000:fs=off:random_seed=2042266953:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.79/0.40 % (1093672)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=409980581:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.79/0.40 % (1093662)Instruction limit reached!
% 0.79/0.40 % (1093662)------------------------------
% 0.79/0.40 % (1093662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.40 % (1093662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.40 % (1093662)CaDiCaL version: 2.1.3
% 0.79/0.40 % (1093662)Termination reason: Instruction limit
% 0.79/0.40 % (1093662)Termination phase: Saturation
% 0.79/0.40 % (1093662)Time elapsed: 0.068 s
% 0.79/0.40 % (1093662)Peak memory usage: 14 MB
% 0.79/0.40 % (1093662)Instructions burned: 160 (million)
% 0.79/0.40 % (1093675)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1392234956:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.79/0.40 % (1093673)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=2914160423:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.79/0.40 % (1093678)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2082708054:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.79/0.40 % (1093657) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1093651-1093657"...
% 0.79/0.40 % (1093657)...printing done.
% 0.79/0.40 % (1093657)Refutation found. Thanks to Tanya!
% 0.79/0.40 % SZS status Theorem for theBenchmark
% 0.79/0.40 % SZS output start Proof for theBenchmark
% 0.79/0.40 thf(type_def_5, type, set_se933006839lle_hf: $tType).
% 0.79/0.40 thf(type_def_6, type, set_HF_Mirabelle_hf: $tType).
% 0.79/0.40 thf(type_def_7, type, hF_Mirabelle_hf: $tType).
% 0.79/0.40 thf(type_def_8, type, set_nat: $tType).
% 0.79/0.40 thf(type_def_9, type, nat: $tType).
% 0.79/0.40 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 0.79/0.40 thf(func_def_0, type, finite1213132899lle_hf: (set_HF_Mirabelle_hf > nat)).
% 0.79/0.40 thf(func_def_1, type, finite_card_nat: (set_nat > nat)).
% 0.79/0.40 thf(func_def_2, type, finite90088345lle_hf: (set_se933006839lle_hf > nat)).
% 0.79/0.40 thf(func_def_3, type, finite586181922lle_hf: (set_HF_Mirabelle_hf > $o)).
% 0.79/0.40 thf(func_def_4, type, finite_finite_nat: (set_nat > $o)).
% 0.79/0.40 thf(func_def_5, type, finite1450550360lle_hf: (set_se933006839lle_hf > $o)).
% 0.79/0.40 thf(func_def_6, type, inj_on755450110lle_hf: ((hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > $o)).
% 0.79/0.40 thf(func_def_7, type, inj_on1874279374hf_nat: ((hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf > $o)).
% 0.79/0.40 thf(func_def_8, type, inj_on1988990670lle_hf: ((nat > hF_Mirabelle_hf) > set_nat > $o)).
% 0.79/0.40 thf(func_def_9, type, inj_on_nat_nat: ((nat > nat) > set_nat > $o)).
% 0.79/0.40 thf(func_def_10, type, inj_on811196232lle_hf: ((set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > $o)).
% 0.79/0.40 thf(func_def_11, type, minus_minus_nat: (nat > nat > nat)).
% 0.79/0.40 thf(func_def_12, type, minus_1450406810lle_hf: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_13, type, minus_minus_set_nat: (set_nat > set_nat > set_nat)).
% 0.79/0.40 thf(func_def_14, type, minus_500612048lle_hf: (set_se933006839lle_hf > set_se933006839lle_hf > set_se933006839lle_hf)).
% 0.79/0.40 thf(func_def_15, type, zero_z189798548lle_hf: hF_Mirabelle_hf).
% 0.79/0.40 thf(func_def_16, type, zero_zero_nat: nat).
% 0.79/0.40 thf(func_def_17, type, hF_Mirabelle_HF: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_18, type, hF_Mirabelle_Abs_hf: (nat > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_19, type, hF_Mirabelle_hfset: (hF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_20, type, hF_Mirabelle_hinsert: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_21, type, hF_Mirabelle_hmem: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o)).
% 0.79/0.40 thf(func_def_22, type, lattic710307446hf_nat: ((hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_23, type, lattic1974000059at_nat: ((nat > nat) > set_nat > nat)).
% 0.79/0.40 thf(func_def_24, type, semiring_1_Nats_nat: set_nat).
% 0.79/0.40 thf(func_def_25, type, bot_bo1263054448e_hf_o: (hF_Mirabelle_hf > $o)).
% 0.79/0.40 thf(func_def_26, type, bot_bot_nat_o: (nat > $o)).
% 0.79/0.40 thf(func_def_27, type, bot_bo554042810e_hf_o: (set_HF_Mirabelle_hf > $o)).
% 0.79/0.40 thf(func_def_28, type, bot_bot_o: $o).
% 0.79/0.40 thf(func_def_29, type, bot_bot_nat: nat).
% 0.79/0.40 thf(func_def_30, type, bot_bo53200981lle_hf: set_HF_Mirabelle_hf).
% 0.79/0.40 thf(func_def_31, type, bot_bot_set_nat: set_nat).
% 0.79/0.40 thf(func_def_32, type, bot_bo2093393035lle_hf: set_se933006839lle_hf).
% 0.79/0.40 thf(func_def_33, type, ord_less_eq_nat: (nat > nat > $o)).
% 0.79/0.40 thf(func_def_34, type, ord_le432112161lle_hf: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > $o)).
% 0.79/0.40 thf(func_def_35, type, ord_less_eq_set_nat: (set_nat > set_nat > $o)).
% 0.79/0.40 thf(func_def_36, type, ord_le2016357975lle_hf: (set_se933006839lle_hf > set_se933006839lle_hf > $o)).
% 0.79/0.40 thf(func_def_37, type, semiri2115134414it_nat: (nat > nat > nat)).
% 0.79/0.40 thf(func_def_38, type, semiri2013084963it_nat: (nat > nat > nat)).
% 0.79/0.40 thf(func_def_39, type, collec2046588256lle_hf: ((hF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_40, type, collect_nat: ((nat > $o) > set_nat)).
% 0.79/0.40 thf(func_def_41, type, collec1758573718lle_hf: ((set_HF_Mirabelle_hf > $o) > set_se933006839lle_hf)).
% 0.79/0.40 thf(func_def_42, type, image_1743964010lle_hf: ((hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_43, type, image_131453538hf_nat: ((hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf > set_nat)).
% 0.79/0.40 thf(func_def_44, type, image_246164834lle_hf: ((nat > hF_Mirabelle_hf) > set_nat > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_45, type, image_nat_nat: ((nat > nat) > set_nat > set_nat)).
% 0.79/0.40 thf(func_def_46, type, image_899003828lle_hf: ((set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_47, type, image_1514960916lle_hf: ((set_HF_Mirabelle_hf > set_HF_Mirabelle_hf) > set_se933006839lle_hf > set_se933006839lle_hf)).
% 0.79/0.40 thf(func_def_48, type, insert9649339lle_hf: (hF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_49, type, insert_nat: (nat > set_nat > set_nat)).
% 0.79/0.40 thf(func_def_50, type, insert1636143089lle_hf: (set_HF_Mirabelle_hf > set_se933006839lle_hf > set_se933006839lle_hf)).
% 0.79/0.40 thf(func_def_51, type, is_emp566801209lle_hf: (set_HF_Mirabelle_hf > $o)).
% 0.79/0.40 thf(func_def_52, type, is_sin1448700567lle_hf: (set_HF_Mirabelle_hf > $o)).
% 0.79/0.40 thf(func_def_53, type, the_el1104322134lle_hf: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_54, type, member1367349282lle_hf: (hF_Mirabelle_hf > set_HF_Mirabelle_hf > $o)).
% 0.79/0.40 thf(func_def_55, type, member_nat: (nat > set_nat > $o)).
% 0.79/0.40 thf(func_def_56, type, member1490636632lle_hf: (set_HF_Mirabelle_hf > set_se933006839lle_hf > $o)).
% 0.79/0.40 thf(func_def_57, type, z: hF_Mirabelle_hf).
% 0.79/0.40 thf(func_def_59, type, db1: !>[X0: $tType]:(X0)).
% 0.79/0.40 thf(func_def_60, type, db0: !>[X0: $tType]:(X0)).
% 0.79/0.40 thf(func_def_61, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.79/0.40 thf(func_def_62, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.79/0.40 thf(func_def_63, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.79/0.40 thf(func_def_64, type, db2: !>[X0: $tType]:(X0)).
% 0.79/0.40 thf(func_def_67, type, vOR: ($o > $o > $o)).
% 0.79/0.40 thf(func_def_68, type, vNOT: ($o > $o)).
% 0.79/0.40 thf(func_def_69, type, vAND: ($o > $o > $o)).
% 0.79/0.40 thf(func_def_70, type, vIMP: ($o > $o > $o)).
% 0.79/0.40 thf(func_def_71, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.79/0.40 thf(func_def_72, type, db3: !>[X0: $tType]:(X0)).
% 0.79/0.40 thf(func_def_73, type, sP0: (nat > nat > nat > $o)).
% 0.79/0.40 thf(func_def_74, type, sP1: (nat > nat > nat > $o)).
% 0.79/0.40 thf(func_def_75, type, sP2: (nat > nat > nat > $o)).
% 0.79/0.40 thf(func_def_76, type, sP3: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > $o)).
% 0.79/0.40 thf(func_def_77, type, sP4: (set_HF_Mirabelle_hf > set_nat > (hF_Mirabelle_hf > nat > $o) > $o)).
% 0.79/0.40 thf(func_def_78, type, sK5: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_79, type, sK6: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_80, type, sK7: (set_nat > nat > set_nat)).
% 0.79/0.40 thf(func_def_81, type, sK8: (set_se933006839lle_hf > set_HF_Mirabelle_hf > set_se933006839lle_hf)).
% 0.79/0.40 thf(func_def_82, type, sK9: (set_HF_Mirabelle_hf > hF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_83, type, sK10: (set_nat > nat > set_nat)).
% 0.79/0.40 thf(func_def_84, type, sK11: (set_se933006839lle_hf > set_HF_Mirabelle_hf > set_se933006839lle_hf)).
% 0.79/0.40 thf(func_def_85, type, sK12: (set_HF_Mirabelle_hf > hF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_86, type, sK13: (set_se933006839lle_hf > set_se933006839lle_hf)).
% 0.79/0.40 thf(func_def_87, type, sK14: (set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_88, type, sK15: (set_nat > set_nat)).
% 0.79/0.40 thf(func_def_89, type, sK16: (set_nat > nat)).
% 0.79/0.40 thf(func_def_90, type, sK17: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_91, type, sK18: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_92, type, sK19: ((hF_Mirabelle_hf > $o) > (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_93, type, sK20: ((set_HF_Mirabelle_hf > $o) > (set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_94, type, sK21: (set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_95, type, sK22: (set_nat > nat)).
% 0.79/0.40 thf(func_def_96, type, sK23: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_97, type, sK24: (set_se933006839lle_hf > set_se933006839lle_hf)).
% 0.79/0.40 thf(func_def_98, type, sK25: (set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_99, type, sK26: (set_nat > set_nat)).
% 0.79/0.40 thf(func_def_100, type, sK27: (set_nat > nat)).
% 0.79/0.40 thf(func_def_101, type, sK28: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_102, type, sK29: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_103, type, sK30: ((set_se933006839lle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_104, type, sK31: ((set_se933006839lle_hf > $o) > set_se933006839lle_hf)).
% 0.79/0.40 thf(func_def_105, type, sK32: ((set_nat > $o) > nat)).
% 0.79/0.40 thf(func_def_106, type, sK33: ((set_nat > $o) > set_nat)).
% 0.79/0.40 thf(func_def_107, type, sK34: ((set_HF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_108, type, sK35: ((set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_109, type, sK36: ((set_se933006839lle_hf > $o) > set_se933006839lle_hf)).
% 0.79/0.40 thf(func_def_110, type, sK37: ((set_se933006839lle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_111, type, sK38: ((set_nat > $o) > set_nat)).
% 0.79/0.40 thf(func_def_112, type, sK39: ((set_nat > $o) > nat)).
% 0.79/0.40 thf(func_def_113, type, sK40: ((set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_114, type, sK41: ((set_HF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_115, type, sK42: ((set_se933006839lle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_116, type, sK43: ((set_se933006839lle_hf > $o) > set_se933006839lle_hf)).
% 0.79/0.40 thf(func_def_117, type, sK44: ((set_se933006839lle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_118, type, sK45: ((set_nat > $o) > nat)).
% 0.79/0.40 thf(func_def_119, type, sK46: ((set_nat > $o) > set_nat)).
% 0.79/0.40 thf(func_def_120, type, sK47: ((set_nat > $o) > nat)).
% 0.79/0.40 thf(func_def_121, type, sK48: ((set_HF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_122, type, sK49: ((set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_123, type, sK50: ((set_HF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_124, type, sK51: ((set_se933006839lle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_125, type, sK52: ((set_se933006839lle_hf > $o) > set_se933006839lle_hf)).
% 0.79/0.40 thf(func_def_126, type, sK53: ((set_se933006839lle_hf > $o) > set_se933006839lle_hf)).
% 0.79/0.40 thf(func_def_127, type, sK54: ((set_nat > $o) > nat)).
% 0.79/0.40 thf(func_def_128, type, sK55: ((set_nat > $o) > set_nat)).
% 0.79/0.40 thf(func_def_129, type, sK56: ((set_nat > $o) > set_nat)).
% 0.79/0.40 thf(func_def_130, type, sK57: ((set_HF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_131, type, sK58: ((set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_132, type, sK59: ((set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_133, type, sK60: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_134, type, sK61: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_135, type, sK62: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_136, type, sK63: ((set_nat > $o) > set_nat > nat)).
% 0.79/0.40 thf(func_def_137, type, sK64: ((set_nat > $o) > set_nat > set_nat)).
% 0.79/0.40 thf(func_def_138, type, sK65: ((set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_139, type, sK66: ((set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_140, type, sK67: ((set_nat > $o) > set_nat > nat)).
% 0.79/0.40 thf(func_def_141, type, sK68: ((set_nat > $o) > set_nat > set_nat)).
% 0.79/0.40 thf(func_def_142, type, sK69: ((set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_143, type, sK70: ((set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_144, type, sK71: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_145, type, sK72: ((nat > nat > $o) > nat)).
% 0.79/0.40 thf(func_def_146, type, sK73: ((nat > nat > $o) > nat)).
% 0.79/0.40 thf(func_def_147, type, sK74: ((nat > nat > $o) > nat)).
% 0.79/0.40 thf(func_def_148, type, sK75: ((nat > nat > $o) > nat)).
% 0.79/0.40 thf(func_def_149, type, sK76: ((nat > nat) > nat)).
% 0.79/0.40 thf(func_def_150, type, sK77: ((nat > nat) > nat)).
% 0.79/0.40 thf(func_def_151, type, sK78: ((nat > nat) > nat)).
% 0.79/0.40 thf(func_def_152, type, sK79: ((nat > nat) > nat)).
% 0.79/0.40 thf(func_def_153, type, sK80: ((nat > nat) > nat)).
% 0.79/0.40 thf(func_def_154, type, sK81: ((nat > nat) > nat)).
% 0.79/0.40 thf(func_def_155, type, sK82: ((nat > nat) > nat)).
% 0.79/0.40 thf(func_def_156, type, sK83: ((nat > nat) > nat)).
% 0.79/0.40 thf(func_def_157, type, sK84: ((set_HF_Mirabelle_hf > $o) > (set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_158, type, sK85: (nat > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_159, type, sK86: (nat > set_nat > set_nat)).
% 0.79/0.40 thf(func_def_160, type, sK87: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_161, type, sK88: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_162, type, sK89: (set_nat > nat)).
% 0.79/0.40 thf(func_def_163, type, sK90: (set_nat > nat)).
% 0.79/0.40 thf(func_def_164, type, sK91: ((nat > nat) > (set_nat > $o) > nat)).
% 0.79/0.40 thf(func_def_165, type, sK92: ((nat > nat) > (set_nat > $o) > set_nat)).
% 0.79/0.40 thf(func_def_166, type, sK93: ((hF_Mirabelle_hf > nat) > (set_HF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_167, type, sK94: ((hF_Mirabelle_hf > nat) > (set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_168, type, sK95: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_169, type, sK96: (nat > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_170, type, sK97: (nat > set_nat > set_nat)).
% 0.79/0.40 thf(func_def_171, type, sK98: ((set_HF_Mirabelle_hf > hF_Mirabelle_hf) > (hF_Mirabelle_hf > set_HF_Mirabelle_hf) > set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_172, type, sK99: ((set_HF_Mirabelle_hf > hF_Mirabelle_hf) > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_173, type, sK100: ((set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_174, type, sK101: ((set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_175, type, sK102: (set_HF_Mirabelle_hf > nat > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_176, type, sK103: (set_nat > nat > set_nat)).
% 0.79/0.40 thf(func_def_177, type, sK104: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_178, type, sK105: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_179, type, sK106: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_180, type, sK107: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_181, type, sK108: (set_HF_Mirabelle_hf > set_nat > (hF_Mirabelle_hf > nat > $o) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_182, type, sK109: (set_HF_Mirabelle_hf > set_nat > (hF_Mirabelle_hf > nat > $o) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_183, type, sK110: (set_HF_Mirabelle_hf > set_nat > (hF_Mirabelle_hf > nat > $o) > nat)).
% 0.79/0.40 thf(func_def_184, type, sK111: ((hF_Mirabelle_hf > nat > $o) > set_HF_Mirabelle_hf > set_nat > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_185, type, sK112: ((nat > $o) > nat)).
% 0.79/0.40 thf(func_def_186, type, sK113: (nat > (nat > $o) > nat)).
% 0.79/0.40 thf(func_def_187, type, sK114: ((nat > $o) > nat)).
% 0.79/0.40 thf(func_def_188, type, sK115: (nat > (nat > $o) > nat)).
% 0.79/0.40 thf(func_def_189, type, sK116: (set_HF_Mirabelle_hf > set_se933006839lle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_190, type, sK117: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_191, type, sK118: (set_nat > set_HF_Mirabelle_hf > hF_Mirabelle_hf > nat)).
% 0.79/0.40 thf(func_def_192, type, sK119: (set_HF_Mirabelle_hf > set_nat > nat > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_193, type, sK120: (set_nat > set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_194, type, sK121: (set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_195, type, sK122: (set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_196, type, sK123: (set_nat > (nat > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > set_nat)).
% 0.79/0.40 thf(func_def_197, type, sK124: (set_HF_Mirabelle_hf > (hF_Mirabelle_hf > nat) > set_nat > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_198, type, sK125: (set_nat > (nat > nat) > set_nat > set_nat)).
% 0.79/0.40 thf(func_def_199, type, sK126: (set_HF_Mirabelle_hf > hF_Mirabelle_hf > set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_200, type, sK127: (set_HF_Mirabelle_hf > hF_Mirabelle_hf > set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf)).
% 0.79/0.40 thf(func_def_201, type, sK128: (set_HF_Mirabelle_hf > hF_Mirabelle_hf > set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_202, type, sK129: (set_HF_Mirabelle_hf > hF_Mirabelle_hf > set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_203, type, sK130: (hF_Mirabelle_hf > set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_204, type, sK131: hF_Mirabelle_hf).
% 0.79/0.40 thf(func_def_205, type, sK132: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_206, type, sK133: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_207, type, sK134: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_208, type, sK135: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_209, type, sK136: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_210, type, sK137: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_211, type, sK138: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_212, type, sK139: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_213, type, sK140: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_214, type, sK141: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_215, type, sK142: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_216, type, sK143: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_217, type, sK144: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_218, type, sK145: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_219, type, sK146: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_220, type, sK147: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_221, type, sK148: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_222, type, sK149: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_223, type, sK150: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_224, type, sK151: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_225, type, sK152: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_226, type, sK153: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_227, type, sK154: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_228, type, sK155: (set_nat > (nat > nat) > nat)).
% 0.79/0.40 thf(func_def_229, type, sK156: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_230, type, sK157: (set_nat > nat)).
% 0.79/0.40 thf(func_def_231, type, sK158: (set_nat > (nat > nat) > nat > nat)).
% 0.79/0.40 thf(func_def_232, type, sK159: (set_HF_Mirabelle_hf > (hF_Mirabelle_hf > nat) > nat)).
% 0.79/0.40 thf(func_def_233, type, sK160: (set_HF_Mirabelle_hf > (hF_Mirabelle_hf > nat) > nat > nat)).
% 0.79/0.40 thf(func_def_234, type, sK161: (set_nat > nat)).
% 0.79/0.40 thf(func_def_235, type, sK162: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_236, type, sK163: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_237, type, sK164: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_238, type, sK165: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_239, type, sK166: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_240, type, sK167: (set_nat > nat)).
% 0.79/0.40 thf(func_def_241, type, sK168: (set_nat > (nat > nat) > nat > nat)).
% 0.79/0.40 thf(func_def_242, type, sK169: (set_HF_Mirabelle_hf > (hF_Mirabelle_hf > nat) > nat > nat)).
% 0.79/0.40 thf(func_def_243, type, sK170: (set_nat > nat)).
% 0.79/0.40 thf(func_def_244, type, sK171: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_245, type, sK172: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_246, type, sK173: (set_nat > (nat > nat) > (set_nat > $o) > set_nat)).
% 0.79/0.40 thf(func_def_247, type, sK174: (set_nat > (nat > nat) > (set_nat > $o) > nat)).
% 0.79/0.40 thf(func_def_248, type, sK175: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_249, type, sK176: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_250, type, sK177: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_251, type, sK178: (set_nat > (nat > nat) > (set_nat > $o) > set_nat)).
% 0.79/0.40 thf(func_def_252, type, sK179: (set_nat > (nat > nat) > (set_nat > $o) > nat)).
% 0.79/0.40 thf(func_def_253, type, sK180: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_254, type, sK181: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_255, type, sK182: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_256, type, sK183: (set_HF_Mirabelle_hf > (hF_Mirabelle_hf > nat) > (set_nat > $o) > set_nat)).
% 0.79/0.40 thf(func_def_257, type, sK184: (set_HF_Mirabelle_hf > (hF_Mirabelle_hf > nat) > (set_nat > $o) > nat)).
% 0.79/0.40 thf(func_def_258, type, sK185: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_259, type, sK186: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_260, type, sK187: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_261, type, sK188: (set_HF_Mirabelle_hf > (hF_Mirabelle_hf > nat) > (set_nat > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_262, type, sK189: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_263, type, sK190: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_264, type, sK191: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_265, type, sK192: (set_nat > (nat > hF_Mirabelle_hf) > (set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_266, type, sK193: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_267, type, sK194: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_268, type, sK195: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_269, type, sK196: (set_nat > (nat > hF_Mirabelle_hf) > (set_HF_Mirabelle_hf > $o) > set_nat)).
% 0.79/0.40 thf(func_def_270, type, sK197: (set_HF_Mirabelle_hf > set_nat > (nat > hF_Mirabelle_hf) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_271, type, sK198: (set_nat > (nat > hF_Mirabelle_hf) > (set_HF_Mirabelle_hf > $o) > nat)).
% 0.79/0.40 thf(func_def_272, type, sK199: (set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > (set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_273, type, sK200: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_274, type, sK201: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_275, type, sK202: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_276, type, sK203: (set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > (set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_277, type, sK204: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_278, type, sK205: (set_nat > (nat > nat) > (set_nat > $o) > set_nat)).
% 0.79/0.40 thf(func_def_279, type, sK206: (set_nat > (nat > nat) > (set_nat > $o) > nat)).
% 0.79/0.40 thf(func_def_280, type, sK207: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_281, type, sK208: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_282, type, sK209: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_283, type, sK210: (set_nat > (nat > nat) > (set_nat > $o) > set_nat)).
% 0.79/0.40 thf(func_def_284, type, sK211: (set_nat > (nat > nat) > (set_nat > $o) > nat)).
% 0.79/0.40 thf(func_def_285, type, sK212: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_286, type, sK213: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_287, type, sK214: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_288, type, sK215: (set_HF_Mirabelle_hf > (hF_Mirabelle_hf > nat) > (set_nat > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_289, type, sK216: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_290, type, sK217: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_291, type, sK218: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_292, type, sK219: (set_HF_Mirabelle_hf > (hF_Mirabelle_hf > nat) > (set_nat > $o) > set_nat)).
% 0.79/0.40 thf(func_def_293, type, sK220: (set_HF_Mirabelle_hf > (hF_Mirabelle_hf > nat) > (set_nat > $o) > nat)).
% 0.79/0.40 thf(func_def_294, type, sK221: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_295, type, sK222: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_296, type, sK223: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_297, type, sK224: (set_nat > (nat > hF_Mirabelle_hf) > (set_HF_Mirabelle_hf > $o) > set_nat)).
% 0.79/0.40 thf(func_def_298, type, sK225: (set_nat > (nat > hF_Mirabelle_hf) > (set_HF_Mirabelle_hf > $o) > nat)).
% 0.79/0.40 thf(func_def_299, type, sK226: (set_HF_Mirabelle_hf > set_nat > (nat > hF_Mirabelle_hf) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_300, type, sK227: (set_HF_Mirabelle_hf > set_nat > (nat > hF_Mirabelle_hf) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_301, type, sK228: (set_HF_Mirabelle_hf > set_nat > (nat > hF_Mirabelle_hf) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_302, type, sK229: (set_nat > (nat > hF_Mirabelle_hf) > (set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_303, type, sK230: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_304, type, sK231: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_305, type, sK232: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_306, type, sK233: (set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > (set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_307, type, sK234: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_308, type, sK235: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_309, type, sK236: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_310, type, sK237: (set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > (set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_311, type, sK238: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_312, type, sK239: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_313, type, sK240: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_314, type, sK241: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_315, type, sK242: ((nat > nat) > set_nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_316, type, sK243: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_317, type, sK244: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_318, type, sK245: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_319, type, sK246: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_320, type, sK247: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_321, type, sK248: ((nat > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > set_nat > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_322, type, sK249: ((nat > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > set_nat > nat)).
% 0.79/0.40 thf(func_def_323, type, sK250: ((nat > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > set_nat > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_324, type, sK251: ((nat > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > set_nat > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_325, type, sK252: ((hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_326, type, sK253: ((hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_327, type, sK254: ((hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_328, type, sK255: (set_nat > nat)).
% 0.79/0.40 thf(func_def_329, type, sK256: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_330, type, sK257: (set_HF_Mirabelle_hf > set_nat > (nat > hF_Mirabelle_hf) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_331, type, sK258: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_332, type, sK259: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_333, type, sK260: (set_nat > nat)).
% 0.79/0.40 thf(func_def_334, type, sK261: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_335, type, sK262: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_336, type, sK263: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_337, type, sK264: (set_HF_Mirabelle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_338, type, sK265: (set_HF_Mirabelle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_339, type, sK266: (set_HF_Mirabelle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_340, type, sK267: (set_HF_Mirabelle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_341, type, sK268: ((set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_342, type, sK269: ((set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_343, type, sK270: (set_nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_344, type, sK271: (nat > nat > set_nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_345, type, sK272: (nat > set_nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_346, type, sK273: (nat > set_nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_347, type, sK274: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_348, type, sK275: (set_nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_349, type, sK276: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_350, type, sK277: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_351, type, sK278: (set_nat > nat)).
% 0.79/0.40 thf(func_def_352, type, sK279: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_353, type, sK280: (nat > set_nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_354, type, sK281: (set_nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_355, type, sK282: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_356, type, sK283: ((nat > nat) > set_nat > nat)).
% 0.79/0.40 thf(func_def_357, type, sK284: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_358, type, sK285: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_359, type, sK286: ((hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf > nat)).
% 0.79/0.40 thf(func_def_360, type, sK287: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_361, type, sK288: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_362, type, sK289: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_363, type, sK290: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_364, type, sK291: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_365, type, sK292: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_366, type, sK293: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_367, type, sK294: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_368, type, sK295: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_369, type, sK296: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_370, type, sK297: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_371, type, sK298: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_372, type, sK299: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_373, type, sK300: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_374, type, sK301: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_375, type, sK302: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_376, type, sK303: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_377, type, sK304: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_378, type, sK305: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_379, type, sK306: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_380, type, sK307: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_381, type, sK308: ((set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_382, type, sK309: ((set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_383, type, sK310: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_384, type, sK311: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_385, type, sK312: ((set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_386, type, sK313: ((set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_387, type, sK314: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_388, type, sK315: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_389, type, sK316: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_390, type, sK317: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_391, type, sK318: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_392, type, sK319: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_393, type, sK320: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_394, type, sK321: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_395, type, sK322: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_396, type, sK323: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_397, type, sK324: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_398, type, sK325: (set_nat > nat)).
% 0.79/0.40 thf(func_def_399, type, sK326: (set_nat > nat)).
% 0.79/0.40 thf(func_def_400, type, sK327: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_401, type, sK328: (set_nat > nat)).
% 0.79/0.40 thf(func_def_402, type, sK329: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_403, type, sK330: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_404, type, sK331: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_405, type, sK332: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_406, type, sK333: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_407, type, sK334: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_408, type, sK335: ((set_nat > $o) > (nat > nat) > nat)).
% 0.79/0.40 thf(func_def_409, type, sK336: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_410, type, sK337: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_411, type, sK338: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_412, type, sK339: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_413, type, sK340: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_414, type, sK341: (set_nat > nat)).
% 0.79/0.40 thf(func_def_415, type, sK342: (hF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_416, type, sK343: (hF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_417, type, sK344: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_418, type, sK345: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_419, type, sK346: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_420, type, sK347: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_421, type, sK348: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_422, type, sK349: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_423, type, sK350: (set_HF_Mirabelle_hf > hF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_424, type, sK351: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_425, type, sK352: (set_nat > nat)).
% 0.79/0.40 thf(func_def_426, type, sK353: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_427, type, sK354: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_428, type, sK355: (set_nat > nat)).
% 0.79/0.40 thf(func_def_429, type, sK356: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_430, type, sK357: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_431, type, sK358: (set_nat > nat)).
% 0.79/0.40 thf(func_def_432, type, sK359: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_433, type, sK360: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_434, type, sK361: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_435, type, sK362: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_436, type, sK363: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_437, type, sK364: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_438, type, sK365: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_439, type, sK366: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_440, type, sK367: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_441, type, sK368: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_442, type, sK369: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_443, type, sK370: (set_nat > nat)).
% 0.79/0.40 thf(func_def_444, type, sK371: (set_nat > nat)).
% 0.79/0.40 thf(func_def_445, type, sK372: (set_nat > nat)).
% 0.79/0.40 thf(func_def_446, type, sK373: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_447, type, sK374: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_448, type, sK375: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_449, type, sK376: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_450, type, sK377: ((set_HF_Mirabelle_hf > $o) > (set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_451, type, sK378: (set_nat > nat)).
% 0.79/0.40 thf(func_def_452, type, sK379: (hF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_453, type, sK380: (set_HF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_454, type, sK381: (set_HF_Mirabelle_hf > hF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_455, type, sK382: (set_HF_Mirabelle_hf > hF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_456, type, sK383: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_457, type, sK384: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_458, type, sK385: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_459, type, sK386: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_460, type, sK387: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_461, type, sK388: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_462, type, sK389: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_463, type, sK390: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_464, type, sK391: (set_nat > (set_nat > $o) > nat)).
% 0.79/0.40 thf(func_def_465, type, sK392: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_466, type, sK393: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_467, type, sK394: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_468, type, sK395: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_469, type, sK396: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_470, type, sK397: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_471, type, sK398: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_472, type, sK399: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_473, type, sK400: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_474, type, sK401: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_475, type, sK402: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_476, type, sK403: (set_nat > (set_nat > $o) > nat)).
% 0.79/0.40 thf(func_def_477, type, sK404: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_478, type, sK405: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_479, type, sK406: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_480, type, sK407: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_481, type, sK408: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_482, type, sK409: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_483, type, sK410: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_484, type, sK411: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_485, type, sK412: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_486, type, sK413: nat).
% 0.79/0.40 thf(func_def_487, type, sK414: nat).
% 0.79/0.40 thf(func_def_488, type, sK415: ((set_nat > $o) > nat)).
% 0.79/0.40 thf(func_def_489, type, sK416: ((set_nat > $o) > nat > nat)).
% 0.79/0.40 thf(func_def_490, type, sK417: ((set_nat > $o) > nat)).
% 0.79/0.40 thf(func_def_491, type, sK418: ((set_nat > $o) > nat > nat)).
% 0.79/0.40 thf(func_def_492, type, sK419: ((set_nat > $o) > nat > nat)).
% 0.79/0.40 thf(func_def_493, type, sK420: ((set_nat > $o) > nat > nat)).
% 0.79/0.40 thf(func_def_494, type, sK421: ((set_nat > $o) > nat)).
% 0.79/0.40 thf(func_def_495, type, sK422: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_496, type, sK423: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_497, type, sK424: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_498, type, sK425: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_499, type, sK426: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_500, type, sK427: ((set_nat > $o) > nat)).
% 0.79/0.40 thf(func_def_501, type, sK428: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_502, type, sK429: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_503, type, sK430: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_504, type, sK431: ((set_nat > $o) > nat)).
% 0.79/0.40 thf(func_def_505, type, sK432: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_506, type, sK433: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_507, type, sK434: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_508, type, sK435: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_509, type, sK436: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_510, type, sK437: (set_nat > nat)).
% 0.79/0.40 thf(func_def_511, type, sK438: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_512, type, sK439: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_513, type, sK440: (set_nat > nat > nat)).
% 0.79/0.40 thf(func_def_514, type, sK441: (set_nat > nat)).
% 0.79/0.40 thf(func_def_515, type, sK442: (set_nat > nat > nat > nat)).
% 0.79/0.40 thf(func_def_516, type, sK443: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_517, type, sK444: (set_nat > nat)).
% 0.79/0.40 thf(func_def_518, type, sK445: (set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_519, type, sK446: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_520, type, sK447: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_521, type, sK448: (set_nat > nat)).
% 0.79/0.40 thf(func_def_522, type, sK449: (nat > set_nat > nat)).
% 0.79/0.40 thf(func_def_523, type, sK450: (set_HF_Mirabelle_hf > hF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_524, type, sK451: (set_se933006839lle_hf > set_HF_Mirabelle_hf > set_se933006839lle_hf > set_HF_Mirabelle_hf > set_se933006839lle_hf)).
% 0.79/0.40 thf(func_def_525, type, sK452: (set_nat > nat > set_nat > nat > set_nat)).
% 0.79/0.40 thf(func_def_526, type, sK453: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_527, type, sK454: ((set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_528, type, sK455: ((nat > $o) > nat)).
% 0.79/0.40 thf(func_def_529, type, sK456: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_530, type, sK457: ((set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_531, type, sK458: ((nat > $o) > nat)).
% 0.79/0.40 thf(func_def_532, type, sK459: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.79/0.40 thf(func_def_533, type, sK460: (set_nat > nat)).
% 0.79/0.40 thf(func_def_534, type, sK461: (set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.79/0.40 thf(f3,axiom,(
% 0.79/0.40 ! [X0 : hF_Mirabelle_hf] : ~(hF_Mirabelle_hmem @ X0 @ zero_z189798548lle_hf)),
% 0.79/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_hmem__hempty)).
% 0.79/0.40 thf(f6,axiom,(
% 0.79/0.40 (hF_Mirabelle_hmem = (^[X0 : hF_Mirabelle_hf, X1 : hF_Mirabelle_hf] : ((member1367349282lle_hf @ X0 @ (hF_Mirabelle_hfset @ X1)))))),
% 0.79/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_hmem__def)).
% 0.79/0.40 thf(f10,axiom,(
% 0.79/0.40 (zero_z189798548lle_hf = ((hF_Mirabelle_HF @ bot_bo53200981lle_hf)))),
% 0.79/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_Zero__hf__def)).
% 0.79/0.40 thf(f15,axiom,(
% 0.79/0.40 ! [X0 : hF_Mirabelle_hf] : (((hF_Mirabelle_HF @ (hF_Mirabelle_hfset @ X0))) = X0)),
% 0.79/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_HF__hfset)).
% 0.79/0.40 thf(f116,axiom,(
% 0.79/0.40 ! [X0 : set_HF_Mirabelle_hf] : (! [X1 : hF_Mirabelle_hf] : ~(member1367349282lle_hf @ X1 @ X0) => (X0 = bot_bo53200981lle_hf))),
% 0.79/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_115_equals0I)).
% 0.79/0.40 thf(f352,conjecture,(
% 0.79/0.40 ((z = zero_z189798548lle_hf) = ! [X0 : hF_Mirabelle_hf] : ~(hF_Mirabelle_hmem @ X0 @ z))),
% 0.79/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.79/0.40 thf(f353,negated_conjecture,(
% 0.79/0.40 ~ ((z = zero_z189798548lle_hf) = ! [X0 : hF_Mirabelle_hf] : ~(hF_Mirabelle_hmem @ X0 @ z))),
% 0.79/0.40 inference(negated_conjecture,[status(cth)],[f352])).
% 0.79/0.40 thf(f357,plain,(
% 0.79/0.40 ! [X0 : hF_Mirabelle_hf] : ~(hF_Mirabelle_hmem @ X0 @ zero_z189798548lle_hf)),
% 0.79/0.40 inference(rectify,[],[f3])).
% 0.79/0.40 thf(f358,plain,(
% 0.79/0.40 ! [X0 : hF_Mirabelle_hf] : ~ (((hF_Mirabelle_hmem @ X0 @ zero_z189798548lle_hf)) = $true)),
% 0.79/0.40 inference(fool_elimination,[],[f357])).
% 0.79/0.40 thf(f363,plain,(
% 0.79/0.40 (hF_Mirabelle_hmem = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y0 @ (hF_Mirabelle_hfset @ Y1))))))),
% 0.79/0.40 inference(fool_elimination,[],[f6])).
% 0.79/0.40 thf(f514,plain,(
% 0.79/0.40 ! [X0 : set_HF_Mirabelle_hf] : (! [X1 : hF_Mirabelle_hf] : ~(member1367349282lle_hf @ X1 @ X0) => (X0 = bot_bo53200981lle_hf))),
% 0.79/0.40 inference(rectify,[],[f116])).
% 0.79/0.40 thf(f515,plain,(
% 0.79/0.40 ! [X0 : set_HF_Mirabelle_hf] : (! [X1 : hF_Mirabelle_hf] : ~ (((member1367349282lle_hf @ X1 @ X0)) = $true) => (bot_bo53200981lle_hf = X0))),
% 0.79/0.40 inference(fool_elimination,[],[f514])).
% 0.79/0.40 thf(f934,plain,(
% 0.79/0.40 ~ ((z = zero_z189798548lle_hf) = ! [X0 : hF_Mirabelle_hf] : ~(hF_Mirabelle_hmem @ X0 @ z))),
% 0.79/0.40 inference(rectify,[],[f353])).
% 0.79/0.40 thf(f935,plain,(
% 0.79/0.40 ~ (((zero_z189798548lle_hf = z)) = ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (~ (hF_Mirabelle_hmem @ Y0 @ z))))))),
% 0.79/0.40 inference(fool_elimination,[],[f934])).
% 0.79/0.40 thf(f937,plain,(
% 0.79/0.40 ! [X0 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X0 @ zero_z189798548lle_hf)) != $true)),
% 0.79/0.40 inference(flattening,[],[f358])).
% 0.79/0.40 thf(f964,plain,(
% 0.79/0.40 ! [X0 : set_HF_Mirabelle_hf] : (! [X1 : hF_Mirabelle_hf] : (((member1367349282lle_hf @ X1 @ X0)) != $true) => (bot_bo53200981lle_hf = X0))),
% 0.79/0.40 inference(flattening,[],[f515])).
% 0.79/0.40 thf(f1001,plain,(
% 0.79/0.40 (((zero_z189798548lle_hf = z)) != ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (~ (hF_Mirabelle_hmem @ Y0 @ z))))))),
% 0.79/0.40 inference(flattening,[],[f935])).
% 0.79/0.40 thf(f1056,plain,(
% 0.79/0.40 ! [X0 : set_HF_Mirabelle_hf] : ((bot_bo53200981lle_hf = X0) | ? [X1 : hF_Mirabelle_hf] : (((member1367349282lle_hf @ X1 @ X0)) = $true))),
% 0.79/0.40 inference(ennf_transformation,[],[f964])).
% 0.79/0.40 thf(f1334,plain,(
% 0.79/0.40 ! [X0 : set_HF_Mirabelle_hf] : ((bot_bo53200981lle_hf = X0) | ($true = ((member1367349282lle_hf @ (sK23 @ X0) @ X0))))),
% 0.79/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X2,sK6 @ X0)],[f1056])).
% 0.79/0.40 thf(f1419,plain,(
% 0.79/0.40 ( ! [X0 : hF_Mirabelle_hf] : ((((hF_Mirabelle_hmem @ X0 @ zero_z189798548lle_hf)) != $true)) )),
% 0.79/0.40 inference(cnf_transformation,[],[f937])).
% 0.79/0.40 thf(f1423,plain,(
% 0.79/0.40 (hF_Mirabelle_hmem = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y0 @ (hF_Mirabelle_hfset @ Y1))))))),
% 0.79/0.40 inference(cnf_transformation,[],[f363])).
% 0.79/0.40 thf(f1427,plain,(
% 0.79/0.40 (zero_z189798548lle_hf = ((hF_Mirabelle_HF @ bot_bo53200981lle_hf)))),
% 0.79/0.40 inference(cnf_transformation,[],[f10])).
% 0.79/0.40 thf(f1432,plain,(
% 0.79/0.40 ( ! [X0 : hF_Mirabelle_hf] : ((((hF_Mirabelle_HF @ (hF_Mirabelle_hfset @ X0))) = X0)) )),
% 0.79/0.40 inference(cnf_transformation,[],[f15])).
% 0.79/0.40 thf(f1548,plain,(
% 0.79/0.40 ( ! [X0 : set_HF_Mirabelle_hf] : (($true = ((member1367349282lle_hf @ (sK23 @ X0) @ X0))) | (bot_bo53200981lle_hf = X0)) )),
% 0.79/0.40 inference(cnf_transformation,[],[f1334])).
% 0.79/0.40 thf(f1954,plain,(
% 0.79/0.40 (((zero_z189798548lle_hf = z)) != ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (~ (hF_Mirabelle_hmem @ Y0 @ z))))))),
% 0.79/0.40 inference(cnf_transformation,[],[f1001])).
% 0.79/0.40 thf(f1959,plain,(
% 0.79/0.40 ( ! [X0 : hF_Mirabelle_hf] : (($true != (((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y0 @ (hF_Mirabelle_hfset @ Y1))))) @ X0 @ zero_z189798548lle_hf)))) )),
% 0.79/0.40 inference(definition_unfolding,[],[f1419,f1423])).
% 0.79/0.40 thf(f2192,plain,(
% 0.79/0.40 (((zero_z189798548lle_hf = z)) != ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (~ ((^[Y1 : hF_Mirabelle_hf]: ((^[Y2 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y1 @ (hF_Mirabelle_hfset @ Y2))))) @ Y0 @ z))))))),
% 0.79/0.40 inference(definition_unfolding,[],[f1954,f1423])).
% 0.79/0.40 thf(f2210,plain,(
% 0.79/0.40 ($true = ((zero_z189798548lle_hf = z))) | ($true = ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (~ ((^[Y1 : hF_Mirabelle_hf]: ((^[Y2 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y1 @ (hF_Mirabelle_hfset @ Y2))))) @ Y0 @ z))))))),
% 0.79/0.40 inference(xor_proxy_clausification,[],[f2192])).
% 0.79/0.40 thf(f2211,plain,(
% 0.79/0.40 (((zero_z189798548lle_hf = z)) = $false) | ($false = ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (~ ((^[Y1 : hF_Mirabelle_hf]: ((^[Y2 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y1 @ (hF_Mirabelle_hfset @ Y2))))) @ Y0 @ z))))))),
% 0.79/0.40 inference(xor_proxy_clausification,[],[f2192])).
% 0.79/0.40 thf(f2212,plain,(
% 0.79/0.40 (zero_z189798548lle_hf != z) | ($false = ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (~ ((^[Y1 : hF_Mirabelle_hf]: ((^[Y2 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y1 @ (hF_Mirabelle_hfset @ Y2))))) @ Y0 @ z))))))),
% 0.79/0.40 inference(equality_proxy_clausification,[],[f2211])).
% 0.79/0.40 thf(f2213,plain,(
% 0.79/0.40 (zero_z189798548lle_hf != z) | ($false = (((^[Y0 : hF_Mirabelle_hf]: (~ ((^[Y1 : hF_Mirabelle_hf]: ((^[Y2 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y1 @ (hF_Mirabelle_hfset @ Y2))))) @ Y0 @ z))) @ sK131)))),
% 0.79/0.40 inference(sigma_proxy_clausification,[],[f2212])).
% 0.79/0.40 thf(f2214,plain,(
% 0.79/0.40 (zero_z189798548lle_hf != z) | ($false = ((~ (member1367349282lle_hf @ sK131 @ (hF_Mirabelle_hfset @ z)))))),
% 0.79/0.40 inference(beta-eta_normalization,[],[f2213])).
% 0.79/0.40 thf(f2215,plain,(
% 0.79/0.40 (zero_z189798548lle_hf != z) | ($true = ((member1367349282lle_hf @ sK131 @ (hF_Mirabelle_hfset @ z))))),
% 0.79/0.40 inference(not_proxy_clausification,[],[f2214])).
% 0.79/0.40 thf(f2216,plain,(
% 0.79/0.40 (zero_z189798548lle_hf = z) | ($true = ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (~ ((^[Y1 : hF_Mirabelle_hf]: ((^[Y2 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y1 @ (hF_Mirabelle_hfset @ Y2))))) @ Y0 @ z))))))),
% 0.79/0.40 inference(equality_proxy_clausification,[],[f2210])).
% 0.79/0.40 thf(f2217,plain,(
% 0.79/0.40 ( ! [X1 : hF_Mirabelle_hf] : ((zero_z189798548lle_hf = z) | ($true = (((^[Y0 : hF_Mirabelle_hf]: (~ ((^[Y1 : hF_Mirabelle_hf]: ((^[Y2 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y1 @ (hF_Mirabelle_hfset @ Y2))))) @ Y0 @ z))) @ X1)))) )),
% 0.79/0.40 inference(pi_proxy_clausification,[],[f2216])).
% 0.79/0.40 thf(f2218,plain,(
% 0.79/0.40 ( ! [X1 : hF_Mirabelle_hf] : ((zero_z189798548lle_hf = z) | ($true = ((~ (member1367349282lle_hf @ X1 @ (hF_Mirabelle_hfset @ z)))))) )),
% 0.79/0.40 inference(beta-eta_normalization,[],[f2217])).
% 0.79/0.40 thf(f2219,plain,(
% 0.79/0.40 ( ! [X1 : hF_Mirabelle_hf] : ((zero_z189798548lle_hf = z) | ($false = ((member1367349282lle_hf @ X1 @ (hF_Mirabelle_hfset @ z))))) )),
% 0.79/0.40 inference(not_proxy_clausification,[],[f2218])).
% 0.79/0.40 thf(f5229,plain,(
% 0.79/0.40 ( ! [X0 : hF_Mirabelle_hf] : (($true != ((member1367349282lle_hf @ X0 @ (hF_Mirabelle_hfset @ zero_z189798548lle_hf))))) )),
% 0.79/0.40 inference(beta-eta_normalization,[],[f1959])).
% 0.79/0.40 thf(f5233,definition,(
% 0.79/0.40 spl462_1 <=> ($true = ((member1367349282lle_hf @ sK131 @ (hF_Mirabelle_hfset @ z))))),
% 0.79/0.40 introduced(definition,[new_symbols(definition,[spl462_1])],[avatar_definition])).
% 0.79/0.40 thf(f5235,plain,(
% 0.79/0.40 ($true = ((member1367349282lle_hf @ sK131 @ (hF_Mirabelle_hfset @ z)))) | ~spl462_1),
% 0.79/0.40 inference(avatar_component_clause,[],[f5233])).
% 0.79/0.40 thf(f5237,definition,(
% 0.79/0.40 spl462_2 <=> (zero_z189798548lle_hf = z)),
% 0.79/0.40 introduced(definition,[new_symbols(definition,[spl462_2])],[avatar_definition])).
% 0.79/0.40 thf(f5238,plain,(
% 0.79/0.40 (zero_z189798548lle_hf = z) | ~spl462_2),
% 0.79/0.40 inference(avatar_component_clause,[],[f5237])).
% 0.79/0.40 thf(f5240,plain,(
% 0.79/0.40 spl462_1 | ~spl462_2),
% 0.79/0.40 inference(avatar_split_clause,[],[f2215,f5237,f5233])).
% 0.79/0.40 thf(f5242,definition,(
% 0.79/0.40 spl462_3 <=> ! [X1 : hF_Mirabelle_hf] : ($false = ((member1367349282lle_hf @ X1 @ (hF_Mirabelle_hfset @ z))))),
% 0.79/0.40 introduced(definition,[new_symbols(definition,[spl462_3])],[avatar_definition])).
% 0.79/0.40 thf(f5243,plain,(
% 0.79/0.40 ( ! [X1 : hF_Mirabelle_hf] : (($false = ((member1367349282lle_hf @ X1 @ (hF_Mirabelle_hfset @ z))))) ) | ~spl462_3),
% 0.79/0.40 inference(avatar_component_clause,[],[f5242])).
% 0.79/0.40 thf(f5244,plain,(
% 0.79/0.40 spl462_3 | spl462_2),
% 0.79/0.40 inference(avatar_split_clause,[],[f2219,f5237,f5242])).
% 0.79/0.40 thf(f5291,plain,(
% 0.79/0.40 ($true = $false) | (bot_bo53200981lle_hf = ((hF_Mirabelle_hfset @ z))) | ~spl462_3),
% 0.79/0.40 inference(constrained_superposition,[],[f5243,f1548])).
% 0.79/0.40 thf(f5294,plain,(
% 0.79/0.40 (bot_bo53200981lle_hf = ((hF_Mirabelle_hfset @ z))) | ~spl462_3),
% 0.79/0.40 inference(trivial_inequality_removal,[],[f5291])).
% 0.79/0.40 thf(f5300,plain,(
% 0.79/0.40 (((hF_Mirabelle_HF @ bot_bo53200981lle_hf)) = z) | ~spl462_3),
% 0.79/0.40 inference(constrained_superposition,[],[f1432,f5294])).
% 0.79/0.40 thf(f5301,plain,(
% 0.79/0.40 (zero_z189798548lle_hf = z) | ~spl462_3),
% 0.79/0.40 inference(forward_demodulation,[],[f5300,f1427])).
% 0.79/0.40 thf(f5307,plain,(
% 0.79/0.40 spl462_2 | ~spl462_3),
% 0.79/0.40 inference(avatar_split_clause,[],[f5301,f5242,f5237])).
% 0.79/0.40 thf(f5324,plain,(
% 0.79/0.40 ($true = ((member1367349282lle_hf @ sK131 @ (hF_Mirabelle_hfset @ zero_z189798548lle_hf)))) | (~spl462_1 | ~spl462_2)),
% 0.79/0.40 inference(forward_demodulation,[],[f5235,f5238])).
% 0.79/0.40 thf(f5325,plain,(
% 0.79/0.40 $false | (~spl462_1 | ~spl462_2)),
% 0.79/0.40 inference(forward_subsumption_resolution,[],[f5324,f5229])).
% 0.79/0.40 thf(f5326,plain,(
% 0.79/0.40 ~spl462_1 | ~spl462_2),
% 0.79/0.40 inference(avatar_contradiction_clause,[],[f5325])).
% 0.79/0.40 cnf(s1, plain, spl462_1 | ~spl462_2, inference(sat_conversion,[],[f5240])).
% 0.79/0.40 cnf(s2, plain, spl462_2 | spl462_3, inference(sat_conversion,[],[f5244])).
% 0.79/0.40 cnf(s5, plain, spl462_2 | ~spl462_3, inference(sat_conversion,[],[f5307])).
% 0.79/0.40 cnf(s6, plain, ~spl462_1 | ~spl462_2, inference(sat_conversion,[],[f5326])).
% 0.79/0.40 cnf(s7, plain, spl462_2, inference(rat,[],[s2,s5])).
% 0.79/0.40 cnf(s8, plain, ~spl462_1, inference(rat,[],[s6,s7])).
% 0.79/0.40 cnf(s9, plain, $false, inference(rat,[],[s1,s7,s8])).
% 0.79/0.40 thf(f5327,plain,(
% 0.79/0.40 $false),
% 0.79/0.40 inference(avatar_sat_refutation,[],[s9])).
% 0.79/0.40 % SZS output end Proof for theBenchmark
% 0.79/0.40 % (1093657)------------------------------
% 0.79/0.40 % (1093657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.40 % (1093657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.40 % (1093657)CaDiCaL version: 2.1.3
% 0.79/0.40 % (1093657)Termination reason: Refutation
% 0.79/0.40 % (1093657)Time elapsed: 0.104 s
% 0.79/0.40 % (1093657)Peak memory usage: 15 MB
% 0.79/0.40 % (1093657)Instructions burned: 229 (million)
% 0.79/0.40 % (1093651)Success in time 0.156 s
% 0.79/0.40 % Vampire exiting
%------------------------------------------------------------------------------