%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP076^2 : 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 : n017.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 08:10:36 AM UTC 2026
% Result : Theorem 3.27s 0.97s
% Output : Refutation 3.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP076^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.27 % Computer : n017.cluster.edu
% 0.13/0.27 % Model : x86_64 x86_64
% 0.13/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.27 % Memory : 8046.5625MB
% 0.13/0.27 % OS : Linux 6.8.0-71-generic
% 0.13/0.27 % CPULimit : 300
% 0.13/0.27 % WCLimit : 300
% 0.13/0.27 % DateTime : Tue Sep 29 19:43:22 UTC 2026
% 0.13/0.27 % CPUTime :
% 0.13/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.28/0.32 Running first-order model finding
% 0.28/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.27/0.97 % (805370)Will run a generic schedule for satisfiability detection.
% 3.27/0.97 % (805379)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2095336792:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.27/0.97 % (805376)% WARNING: option uhcvi not known.
% 3.27/0.97 % (805375)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=635604201_2999 on theBenchmark for (2999ds/0Mi)
% 3.27/0.97 % (805376)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1241997446:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.27/0.97 % (805377)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3815477151:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.27/0.97 % (805378)dis+10_1_sil=32000:sp=arity:random_seed=3303548113:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.27/0.97 % (805379)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.27/0.97 % (805380)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1010717315:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.27/0.97 % (805376)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.27/0.97 % (805381)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1884608994:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.27/0.97 % (805379)Instruction limit reached!
% 3.27/0.97 % (805379)------------------------------
% 3.27/0.97 % (805379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.97 % (805379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.97 % (805379)CaDiCaL version: 2.1.3
% 3.27/0.97 % (805379)Termination reason: Instruction limit
% 3.27/0.97 % (805379)Termination phase: Saturation
% 3.27/0.97 % (805379)Time elapsed: 0.050 s
% 3.27/0.97 % (805379)Peak memory usage: 13 MB
% 3.27/0.97 % (805379)Instructions burned: 117 (million)
% 3.27/0.97 % Exception at run slice level
% 3.27/0.97 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.27/0.97 % (805376)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.27/0.97 % (805389)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2641959323:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 3.27/0.97 % (805378)Instruction limit reached!
% 3.27/0.97 % (805378)------------------------------
% 3.27/0.97 % (805378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.97 % (805378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.97 % (805378)CaDiCaL version: 2.1.3
% 3.27/0.97 % (805378)Termination reason: Instruction limit
% 3.27/0.97 % (805378)Termination phase: Saturation
% 3.27/0.97 % (805378)Time elapsed: 0.084 s
% 3.27/0.97 % (805378)Peak memory usage: 12 MB
% 3.27/0.97 % (805378)Instructions burned: 103 (million)
% 3.27/0.97 % Exception at run slice level
% 3.27/0.97 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.27/0.97 % (805390)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=689623763:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.27/0.97 % (805380)Instruction limit reached!
% 3.27/0.97 % (805380)------------------------------
% 3.27/0.97 % (805380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.97 % (805380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.97 % (805380)CaDiCaL version: 2.1.3
% 3.27/0.97 % (805380)Termination reason: Instruction limit
% 3.27/0.97 % (805380)Termination phase: Saturation
% 3.27/0.97 % (805380)Time elapsed: 0.107 s
% 3.27/0.97 % (805380)Peak memory usage: 13 MB
% 3.27/0.97 % (805380)Instructions burned: 131 (million)
% 3.27/0.97 % (805394)ott-21_1_sil=16000:fs=off:random_seed=1291897592:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.27/0.97 % (805392)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=2381310276:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.27/0.97 % (805392)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.27/0.97 % (805396)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3804185126:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 3.27/0.97 % (805381)Instruction limit reached!
% 3.27/0.97 % (805381)------------------------------
% 3.27/0.97 % (805381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.97 % (805381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.97 % (805381)CaDiCaL version: 2.1.3
% 3.27/0.97 % (805381)Termination reason: Instruction limit
% 3.27/0.97 % (805381)Termination phase: Saturation
% 3.27/0.97 % (805381)Time elapsed: 0.150 s
% 3.27/0.97 % (805381)Peak memory usage: 13 MB
% 3.27/0.97 % (805381)Instructions burned: 159 (million)
% 3.27/0.97 % (805392)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.27/0.97 % (805394)Instruction limit reached!
% 3.27/0.97 % (805394)------------------------------
% 3.27/0.97 % (805394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.97 % (805394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.97 % (805394)CaDiCaL version: 2.1.3
% 3.27/0.97 % (805394)Termination reason: Instruction limit
% 3.27/0.97 % (805394)Termination phase: Saturation
% 3.27/0.97 % (805394)Time elapsed: 0.082 s
% 3.27/0.97 % (805394)Peak memory usage: 13 MB
% 3.27/0.97 % (805394)Instructions burned: 182 (million)
% 3.27/0.97 % (805390)Instruction limit reached!
% 3.27/0.97 % (805390)------------------------------
% 3.27/0.97 % (805390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.97 % (805390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.97 % (805390)CaDiCaL version: 2.1.3
% 3.27/0.97 % (805390)Termination reason: Instruction limit
% 3.27/0.97 % (805390)Termination phase: Saturation
% 3.27/0.97 % (805390)Time elapsed: 0.112 s
% 3.27/0.97 % (805390)Peak memory usage: 13 MB
% 3.27/0.97 % (805390)Instructions burned: 131 (million)
% 3.27/0.97 % (805400)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2111179411:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 3.27/0.97 % (805399)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3800545259:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.27/0.97 % (805401)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4135846376:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 3.27/0.97 % Exception at run slice level
% 3.27/0.97 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.27/0.97 % Exception at run slice level
% 3.27/0.97 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.27/0.97 % (805405)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=612101926:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 3.27/0.97 % (805406)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=961154748:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 3.27/0.97 % (805405)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.27/0.97 % (805406)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.27/0.97 % (805396)Instruction limit reached!
% 3.27/0.97 % (805396)------------------------------
% 3.27/0.97 % (805396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.97 % (805396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.97 % (805396)CaDiCaL version: 2.1.3
% 3.27/0.97 % (805396)Termination reason: Instruction limit
% 3.27/0.97 % (805396)Termination phase: Saturation
% 3.27/0.97 % (805396)Time elapsed: 0.334 s
% 3.27/0.97 % (805396)Peak memory usage: 14 MB
% 3.27/0.97 % (805396)Instructions burned: 479 (million)
% 3.27/0.97 % (805409)fmb+10_1_sil=64000:random_seed=3036501176:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 3.27/0.97 % (805392) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-805370-805392"...
% 3.27/0.97 % (805392)...printing done.
% 3.27/0.97 % (805392)Refutation found. Thanks to Tanya!
% 3.27/0.97 % SZS status Theorem for theBenchmark
% 3.27/0.97 % SZS output start Proof for theBenchmark
% 3.27/0.97 thf(type_def_5, type, hF_Mirabelle_hf: $tType).
% 3.27/0.97 thf(type_def_6, type, set: $tType > $tType).
% 3.27/0.97 thf(type_def_7, type, nat: $tType).
% 3.27/0.97 thf(type_def_8, type, sTfun: ($tType * $tType) > $tType).
% 3.27/0.97 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:($o)).
% 3.27/0.97 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 3.27/0.97 thf(func_def_2, type, zero: !>[X0: $tType]:($o)).
% 3.27/0.97 thf(func_def_3, type, top: !>[X0: $tType]:($o)).
% 3.27/0.97 thf(func_def_4, type, group_add: !>[X0: $tType]:($o)).
% 3.27/0.97 thf(func_def_5, type, lattice: !>[X0: $tType]:($o)).
% 3.27/0.97 thf(func_def_6, type, monoid_add: !>[X0: $tType]:($o)).
% 3.27/0.97 thf(func_def_7, type, semigroup_add: !>[X0: $tType]:($o)).
% 3.27/0.97 thf(func_def_8, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 3.27/0.97 thf(func_def_9, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 3.27/0.97 thf(func_def_10, type, distrib_lattice: !>[X0: $tType]:($o)).
% 3.27/0.97 thf(func_def_11, type, semilattice_inf: !>[X0: $tType]:($o)).
% 3.27/0.97 thf(func_def_12, type, semilattice_sup: !>[X0: $tType]:($o)).
% 3.27/0.97 thf(func_def_13, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 3.27/0.97 thf(func_def_14, type, bounded_lattice_top: !>[X0: $tType]:($o)).
% 3.27/0.97 thf(func_def_15, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 3.27/0.97 thf(func_def_16, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 3.27/0.97 thf(func_def_17, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 3.27/0.97 thf(func_def_18, type, bounde1561333602nf_top: !>[X0: $tType]:($o)).
% 3.27/0.97 thf(func_def_19, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 3.27/0.97 thf(func_def_20, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 3.27/0.97 thf(func_def_21, type, zero_zero: !>[X0: $tType]:(X0)).
% 3.27/0.97 thf(func_def_22, type, hF_Mir1687042746ollect: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_23, type, hF_Mirabelle_HF: (set @ hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_24, type, hF_Mirabelle_HInter: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_25, type, hF_Mirabelle_HUnion: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_26, type, hF_Mir569462966eplace: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_27, type, hF_Mirabelle_RepFun: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_28, type, hF_Mirabelle_Replace: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_29, type, hF_Mirabelle_hcard: (hF_Mirabelle_hf > nat)).
% 3.27/0.97 thf(func_def_30, type, hF_Mirabelle_Abs_hf: (nat > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_31, type, hF_Mirabelle_Rep_hf: (hF_Mirabelle_hf > nat)).
% 3.27/0.97 thf(func_def_32, type, hF_Mirabelle_hfset: (hF_Mirabelle_hf > set @ hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_33, type, hF_Mirabelle_hfst: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_34, type, hF_Mir859708136nction: (hF_Mirabelle_hf > $o)).
% 3.27/0.97 thf(func_def_35, type, hF_Mirabelle_hinsert: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_36, type, hF_Mirabelle_hmem: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o)).
% 3.27/0.97 thf(func_def_37, type, hF_Mirabelle_hpair: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_38, type, hF_Mir1093797708lation: (hF_Mirabelle_hf > $o)).
% 3.27/0.97 thf(func_def_39, type, hF_Mir165288108strict: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_40, type, hF_Mirabelle_hsnd: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_41, type, hF_Mirabelle_hsplit: !>[X0: $tType]:(((hF_Mirabelle_hf > hF_Mirabelle_hf > X0) > hF_Mirabelle_hf > X0))).
% 3.27/0.97 thf(func_def_42, type, hF_Mir796903520_hpair: (hF_Mirabelle_hf > $o)).
% 3.27/0.97 thf(func_def_43, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 3.27/0.97 thf(func_def_44, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 3.27/0.97 thf(func_def_45, type, suc: (nat > nat)).
% 3.27/0.97 thf(func_def_46, type, top_top: !>[X0: $tType]:(X0)).
% 3.27/0.97 thf(func_def_47, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 3.27/0.97 thf(func_def_48, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 3.27/0.97 thf(func_def_49, type, type_definition: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > set @ X1 > $o))).
% 3.27/0.97 thf(func_def_50, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 3.27/0.97 thf(func_def_51, type, r: hF_Mirabelle_hf).
% 3.27/0.97 thf(func_def_52, type, x: hF_Mirabelle_hf).
% 3.27/0.97 thf(func_def_56, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.27/0.97 thf(func_def_57, type, vIMP: ($o > $o > $o)).
% 3.27/0.97 thf(func_def_58, type, db0: !>[X0: $tType]:(X0)).
% 3.27/0.97 thf(func_def_59, type, db1: !>[X0: $tType]:(X0)).
% 3.27/0.97 thf(func_def_60, type, db2: !>[X0: $tType]:(X0)).
% 3.27/0.97 thf(func_def_61, type, db3: !>[X0: $tType]:(X0)).
% 3.27/0.97 thf(func_def_62, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.27/0.97 thf(func_def_63, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 3.27/0.97 thf(func_def_64, type, vAND: ($o > $o > $o)).
% 3.27/0.97 thf(func_def_65, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.27/0.97 thf(func_def_66, type, vOR: ($o > $o > $o)).
% 3.27/0.97 thf(func_def_67, type, vNOT: ($o > $o)).
% 3.27/0.97 thf(func_def_68, type, sK0: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_69, type, sK1: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_70, type, sK2: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_71, type, sK3: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_72, type, sK4: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_73, type, sK5: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_74, type, sK6: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_75, type, sK7: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_76, type, sK8: ((hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_77, type, sK9: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_78, type, sK10: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_79, type, sK11: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_80, type, sK12: ((hF_Mirabelle_hf > hF_Mirabelle_hf) > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_81, type, sK13: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_82, type, sK14: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_83, type, sK15: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 3.27/0.97 thf(func_def_84, type, sK16: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 3.27/0.97 thf(func_def_85, type, sK17: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_86, type, sK18: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_87, type, sK19: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_88, type, sK20: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_89, type, sK21: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_90, type, sK22: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_91, type, sK23: (nat > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_92, type, sK24: ((nat > $o) > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_93, type, sK25: (hF_Mirabelle_hf > nat)).
% 3.27/0.97 thf(func_def_94, type, sK26: ((hF_Mirabelle_hf > $o) > nat)).
% 3.27/0.97 thf(func_def_95, type, sK27: !>[X0: $tType]:(X0)).
% 3.27/0.97 thf(func_def_96, type, sK28: !>[X0: $tType]:(X0)).
% 3.27/0.97 thf(func_def_97, type, sK29: !>[X0: $tType]:(X0)).
% 3.27/0.97 thf(func_def_98, type, sK30: !>[X0: $tType]:(X0)).
% 3.27/0.97 thf(func_def_99, type, sK31: !>[X0: $tType]:(X0)).
% 3.27/0.97 thf(func_def_100, type, sK32: !>[X0: $tType]:(X0)).
% 3.27/0.97 thf(func_def_101, type, sK33: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_102, type, sK34: !>[X0: $tType]:((set @ X0 > X0))).
% 3.27/0.97 thf(func_def_103, type, sK35: !>[X0: $tType]:(X0)).
% 3.27/0.97 thf(func_def_104, type, sK36: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 3.27/0.97 thf(func_def_105, type, sK37: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X0 > X1) > X0))).
% 3.27/0.97 thf(func_def_106, type, sK38: !>[X0: $tType, X1: $tType]:(((X1 > $o) > set @ X0 > (X0 > X1) > X0))).
% 3.27/0.97 thf(func_def_107, type, sK39: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 3.27/0.97 thf(func_def_108, type, sK40: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > (X1 > X0) > X1))).
% 3.27/0.97 thf(func_def_109, type, sK41: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X0 > X1) > X1))).
% 3.27/0.97 thf(func_def_110, type, sK42: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 3.27/0.97 thf(func_def_111, type, sK43: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > X0))).
% 3.27/0.97 thf(func_def_112, type, sK44: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 3.27/0.97 thf(func_def_113, type, sK45: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 3.27/0.97 thf(func_def_114, type, sK46: hF_Mirabelle_hf).
% 3.27/0.97 thf(func_def_115, type, sK47: hF_Mirabelle_hf).
% 3.27/0.97 thf(func_def_116, type, sK48: hF_Mirabelle_hf).
% 3.27/0.97 thf(func_def_117, type, sK49: !>[X0: $tType]:((X0 > set @ X0 > X0 > set @ X0 > set @ X0))).
% 3.27/0.97 thf(func_def_118, type, sK50: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X0 > X1) > X1))).
% 3.27/0.97 thf(func_def_119, type, sK51: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 3.27/0.97 thf(func_def_120, type, sK52: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > X0))).
% 3.27/0.97 thf(func_def_121, type, sK53: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X0 > X1) > X1))).
% 3.27/0.97 thf(func_def_122, type, sK54: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 3.27/0.97 thf(func_def_123, type, sK55: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > X0))).
% 3.27/0.97 thf(func_def_124, type, sK56: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X1 > X0) > X0))).
% 3.27/0.97 thf(func_def_125, type, sK57: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X1))).
% 3.27/0.97 thf(func_def_126, type, sK58: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > X0) > X1))).
% 3.27/0.97 thf(func_def_127, type, sK59: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X1 > X0) > X0))).
% 3.27/0.97 thf(func_def_128, type, sK60: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X1))).
% 3.27/0.97 thf(func_def_129, type, sK61: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > X0) > X1))).
% 3.27/0.97 thf(func_def_130, type, sK62: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X1 > X0) > X0))).
% 3.27/0.97 thf(func_def_131, type, sK63: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X1))).
% 3.27/0.97 thf(func_def_132, type, sK64: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > X0) > X1))).
% 3.27/0.97 thf(func_def_133, type, sK65: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X0 > X1) > X1))).
% 3.27/0.97 thf(func_def_134, type, sK66: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 3.27/0.97 thf(func_def_135, type, sK67: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > X0))).
% 3.27/0.97 thf(func_def_136, type, sK68: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X0 > X1) > X1))).
% 3.27/0.97 thf(func_def_137, type, sK69: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 3.27/0.97 thf(func_def_138, type, sK70: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > X0))).
% 3.27/0.97 thf(func_def_139, type, sK71: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X0 > X1) > X1))).
% 3.27/0.97 thf(func_def_140, type, sK72: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 3.27/0.97 thf(func_def_141, type, sK73: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > X0))).
% 3.27/0.97 thf(func_def_142, type, sK74: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X1 > X0) > X0))).
% 3.27/0.97 thf(func_def_143, type, sK75: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X1))).
% 3.27/0.97 thf(func_def_144, type, sK76: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > X0) > X1))).
% 3.27/0.97 thf(func_def_145, type, sK77: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X1 > X0) > X0))).
% 3.27/0.97 thf(func_def_146, type, sK78: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X1))).
% 3.27/0.97 thf(func_def_147, type, sK79: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > X0) > X1))).
% 3.27/0.97 thf(func_def_148, type, sK80: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X0 > X1) > X1))).
% 3.27/0.97 thf(func_def_149, type, sK81: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 3.27/0.97 thf(func_def_150, type, sK82: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > X0))).
% 3.27/0.97 thf(func_def_151, type, sK83: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X1 > X0) > X0))).
% 3.27/0.97 thf(func_def_152, type, sK84: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X1))).
% 3.27/0.97 thf(func_def_153, type, sK85: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > X0) > X1))).
% 3.27/0.97 thf(func_def_154, type, sK86: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 3.27/0.97 thf(func_def_155, type, sK87: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 3.27/0.97 thf(func_def_156, type, sK88: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 3.27/0.97 thf(func_def_157, type, sK89: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 3.27/0.97 thf(func_def_158, type, sK90: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 3.27/0.97 thf(func_def_159, type, sK91: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 3.27/0.97 thf(func_def_160, type, sK92: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X0 > X1) > X1))).
% 3.27/0.97 thf(func_def_161, type, sK93: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 3.27/0.97 thf(func_def_162, type, sK94: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > X0))).
% 3.27/0.97 thf(func_def_163, type, sK95: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X1))).
% 3.27/0.97 thf(func_def_164, type, sK96: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 3.27/0.97 thf(func_def_165, type, sK97: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 3.27/0.97 thf(func_def_166, type, sK98: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > X0) > X1))).
% 3.27/0.97 thf(func_def_167, type, sK99: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X0))).
% 3.27/0.97 thf(func_def_168, type, sK100: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X1))).
% 3.27/0.97 thf(func_def_169, type, sK101: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 3.27/0.97 thf(func_def_170, type, sK102: !>[X0: $tType]:(((X0 > $o) > X0))).
% 3.27/0.97 thf(func_def_171, type, sK103: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X0))).
% 3.27/0.97 thf(func_def_172, type, sK104: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X1))).
% 3.27/0.97 thf(func_def_173, type, sK105: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 3.27/0.97 thf(func_def_174, type, sK106: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_175, type, sK107: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_176, type, sK108: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_177, type, sK109: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_178, type, sK110: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_179, type, sK111: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_180, type, sK112: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_181, type, sK113: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_182, type, sK114: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_183, type, sK115: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_184, type, sK116: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_185, type, sK117: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_186, type, sK118: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_187, type, sK119: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_188, type, sK120: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_189, type, sK121: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_190, type, sK122: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_191, type, sK123: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_192, type, sK124: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_193, type, sK125: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_194, type, sK126: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_195, type, sK127: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_196, type, sK128: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_197, type, sK129: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_198, type, sK130: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_199, type, sK131: (hF_Mirabelle_hf > hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_200, type, sK132: (hF_Mirabelle_hf > hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_201, type, sK133: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_202, type, sK134: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_203, type, sK135: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_204, type, sK136: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_205, type, sK137: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_206, type, sK138: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_207, type, sK139: ((hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_208, type, sK140: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_209, type, sK141: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_210, type, sK142: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_211, type, sK143: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_212, type, sK144: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_213, type, sK145: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_214, type, sK146: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_215, type, sK147: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_216, type, sK148: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 3.27/0.97 thf(func_def_218, type, sK150: !>[X0: $tType, X1: $tType]:(((X0 > X1 > set @ hF_Mirabelle_hf) > X1))).
% 3.27/0.97 thf(func_def_219, type, sK151: !>[X0: $tType, X1: $tType]:(((X0 > X1 > set @ hF_Mirabelle_hf) > X1))).
% 3.27/0.97 thf(func_def_220, type, sK152: !>[X0: $tType, X1: $tType]:(((X0 > X1 > set @ hF_Mirabelle_hf) > X1))).
% 3.27/0.97 thf(func_def_221, type, sK153: !>[X0: $tType, X1: $tType]:(((X0 > X1 > set @ hF_Mirabelle_hf) > X1))).
% 3.27/0.97 thf(func_def_222, type, sK154: !>[X0: $tType, X1: $tType]:(((X0 > X1 > set @ hF_Mirabelle_hf) > X1))).
% 3.27/0.97 thf(func_def_223, type, sK155: !>[X0: $tType, X1: $tType]:(((X0 > X1 > set @ hF_Mirabelle_hf) > X1))).
% 3.27/0.97 thf(func_def_224, type, sK156: !>[X0: $tType, X1: $tType]:(((X0 > X1 > set @ hF_Mirabelle_hf) > X1))).
% 3.27/0.97 thf(func_def_225, type, sK157: !>[X0: $tType, X1: $tType]:(((X0 > X1 > set @ hF_Mirabelle_hf) > X1))).
% 3.27/0.97 thf(func_def_226, type, sK158: !>[X0: $tType, X1: $tType]:(((X0 > X1 > set @ hF_Mirabelle_hf) > X1))).
% 3.27/0.97 thf(func_def_227, type, sK159: !>[X0: $tType, X1: $tType]:(((X0 > X1 > set @ hF_Mirabelle_hf) > X1))).
% 3.27/0.97 thf(func_def_228, type, sK160: !>[X0: $tType, X1: $tType]:(((X0 > X1 > set @ hF_Mirabelle_hf) > X1))).
% 3.27/0.97 thf(func_def_229, type, sK161: !>[X0: $tType, X1: $tType]:(((X0 > X1 > set @ hF_Mirabelle_hf) > X1))).
% 3.27/0.97 thf(func_def_230, type, sK162: !>[X0: $tType, X1: $tType]:(((X0 > X1 > set @ hF_Mirabelle_hf) > X1))).
% 3.27/0.97 thf(func_def_231, type, sK163: !>[X0: $tType, X1: $tType]:(((X0 > X1 > set @ hF_Mirabelle_hf) > X1))).
% 3.27/0.97 thf(func_def_232, type, sK164: !>[X0: $tType, X1: $tType]:(((X0 > X1 > set @ hF_Mirabelle_hf) > X1))).
% 3.27/0.97 thf(func_def_233, type, sK165: !>[X0: $tType, X1: $tType]:(((X0 > X1 > set @ hF_Mirabelle_hf) > X1))).
% 3.27/0.97 thf(f2,axiom,(
% 3.27/0.97 (hF_Mir859708136nction = (^[X0 : hF_Mirabelle_hf] : (! [X1 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ X1 @ X2) @ X0) => ! [X3 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ X1 @ X3) @ X0) => (X2 = X3))))))),
% 3.27/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_hfunction__def)).
% 3.27/0.97 thf(f3,axiom,(
% 3.27/0.97 ! [X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X0 @ (hF_Mir165288108strict @ X1 @ X2))) = ? [X3 : hF_Mirabelle_hf,X4 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ X3 @ X2) & (X0 = ((hF_Mirabelle_hpair @ X3 @ X4)))) & (hF_Mirabelle_hmem @ X0 @ X1))),
% 3.27/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_hrestrict__iff)).
% 3.27/0.97 thf(f35,axiom,(
% 3.27/0.97 (hF_Mirabelle_hmem = (^[X0 : hF_Mirabelle_hf, X1 : hF_Mirabelle_hf] : ((member @ hF_Mirabelle_hf @ X0 @ (hF_Mirabelle_hfset @ X1)))))),
% 3.27/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_hmem__def)).
% 3.27/0.97 thf(f64,axiom,(
% 3.27/0.97 (hF_Mirabelle_hpair = (^[X0 : hF_Mirabelle_hf, X1 : hF_Mirabelle_hf] : ((hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ X0 @ zero_zero @ hF_Mirabelle_hf) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ X0 @ (hF_Mirabelle_hinsert @ X1 @ zero_zero @ hF_Mirabelle_hf)) @ zero_zero @ hF_Mirabelle_hf)))))),
% 3.27/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_hpair__def)).
% 3.27/0.97 thf(f202,axiom,(
% 3.27/0.97 (hF_Mirabelle_hinsert = (^[X0 : hF_Mirabelle_hf, X1 : hF_Mirabelle_hf] : ((hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X0 @ (hF_Mirabelle_hfset @ X1))))))),
% 3.27/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_201_hinsert__def)).
% 3.27/0.97 thf(f298,axiom,(
% 3.27/0.97 (hF_Mir859708136nction @ r)),
% 3.27/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 3.27/0.97 thf(f299,conjecture,(
% 3.27/0.97 (hF_Mir859708136nction @ (hF_Mir165288108strict @ r @ x))),
% 3.27/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 3.27/0.97 thf(f300,negated_conjecture,(
% 3.27/0.97 ~(hF_Mir859708136nction @ (hF_Mir165288108strict @ r @ x))),
% 3.27/0.97 inference(negated_conjecture,[status(cth)],[f299])).
% 3.27/0.97 thf(f303,plain,(
% 3.27/0.97 (hF_Mir859708136nction = (^[X0 : hF_Mirabelle_hf] : (! [X1 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ X1 @ X2) @ X0) => ! [X3 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ X1 @ X3) @ X0) => (X2 = X3))))))),
% 3.27/0.97 inference(rectify,[],[f2])).
% 3.27/0.97 thf(f304,plain,(
% 3.27/0.97 (hF_Mir859708136nction = (^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y2 @ Y1) @ Y0) => (!! @ hF_Mirabelle_hf @ (^[Y3 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y2 @ Y3) @ Y0) => (Y1 = Y3)))))))))))),
% 3.27/0.97 inference(fool_elimination,[],[f303])).
% 3.27/0.97 thf(f305,plain,(
% 3.27/0.97 ! [X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X0 @ (hF_Mir165288108strict @ X1 @ X2))) = ? [X3 : hF_Mirabelle_hf,X4 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ X3 @ X2) & (X0 = ((hF_Mirabelle_hpair @ X3 @ X4)))) & (hF_Mirabelle_hmem @ X0 @ X1))),
% 3.27/0.97 inference(rectify,[],[f3])).
% 3.27/0.97 thf(f306,plain,(
% 3.27/0.97 ! [X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X0 @ (hF_Mir165288108strict @ X1 @ X2))) = (((hF_Mirabelle_hmem @ X0 @ X1) & (?? @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (?? @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (((hF_Mirabelle_hpair @ Y1 @ Y0) = X0) & (hF_Mirabelle_hmem @ Y1 @ X2)))))))))),
% 3.27/0.97 inference(fool_elimination,[],[f305])).
% 3.27/0.97 thf(f349,plain,(
% 3.27/0.97 (hF_Mirabelle_hmem = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ Y1))))))),
% 3.27/0.97 inference(fool_elimination,[],[f35])).
% 3.27/0.97 thf(f367,plain,(
% 3.27/0.97 (hF_Mirabelle_hpair = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ zero_zero @ hF_Mirabelle_hf) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y1 @ zero_zero @ hF_Mirabelle_hf)) @ zero_zero @ hF_Mirabelle_hf))))))),
% 3.27/0.97 inference(fool_elimination,[],[f64])).
% 3.27/0.97 thf(f578,plain,(
% 3.27/0.97 (hF_Mirabelle_hinsert = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ Y1)))))))),
% 3.27/0.97 inference(fool_elimination,[],[f202])).
% 3.27/0.97 thf(f744,plain,(
% 3.27/0.97 (hF_Mir859708136nction @ r)),
% 3.27/0.97 inference(rectify,[],[f298])).
% 3.27/0.97 thf(f745,plain,(
% 3.27/0.97 (((hF_Mir859708136nction @ r)) = $true)),
% 3.27/0.97 inference(fool_elimination,[],[f744])).
% 3.27/0.97 thf(f746,plain,(
% 3.27/0.97 ~(hF_Mir859708136nction @ (hF_Mir165288108strict @ r @ x))),
% 3.27/0.97 inference(rectify,[],[f300])).
% 3.27/0.97 thf(f747,plain,(
% 3.27/0.97 ~ (((hF_Mir859708136nction @ (hF_Mir165288108strict @ r @ x))) = $true)),
% 3.27/0.97 inference(fool_elimination,[],[f746])).
% 3.27/0.97 thf(f769,plain,(
% 3.27/0.97 (((hF_Mir859708136nction @ (hF_Mir165288108strict @ r @ x))) != $true)),
% 3.27/0.97 inference(flattening,[],[f747])).
% 3.27/0.97 thf(f970,plain,(
% 3.27/0.97 (hF_Mir859708136nction = (^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y2 @ Y1) @ Y0) => (!! @ hF_Mirabelle_hf @ (^[Y3 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y2 @ Y3) @ Y0) => (Y1 = Y3)))))))))))),
% 3.27/0.97 inference(cnf_transformation,[],[f304])).
% 3.27/0.97 thf(f971,plain,(
% 3.27/0.97 ( ! [X2 : hF_Mirabelle_hf,X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : ((((hF_Mirabelle_hmem @ X0 @ (hF_Mir165288108strict @ X1 @ X2))) = (((hF_Mirabelle_hmem @ X0 @ X1) & (?? @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (?? @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (((hF_Mirabelle_hpair @ Y1 @ Y0) = X0) & (hF_Mirabelle_hmem @ Y1 @ X2)))))))))) )),
% 3.27/0.97 inference(cnf_transformation,[],[f306])).
% 3.27/0.97 thf(f1012,plain,(
% 3.27/0.97 (hF_Mirabelle_hmem = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ Y1))))))),
% 3.27/0.97 inference(cnf_transformation,[],[f349])).
% 3.27/0.97 thf(f1047,plain,(
% 3.27/0.97 (hF_Mirabelle_hpair = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ zero_zero @ hF_Mirabelle_hf) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y1 @ zero_zero @ hF_Mirabelle_hf)) @ zero_zero @ hF_Mirabelle_hf))))))),
% 3.27/0.97 inference(cnf_transformation,[],[f367])).
% 3.27/0.97 thf(f1194,plain,(
% 3.27/0.97 (hF_Mirabelle_hinsert = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ Y1)))))))),
% 3.27/0.97 inference(cnf_transformation,[],[f578])).
% 3.27/0.97 thf(f1297,plain,(
% 3.27/0.97 (((hF_Mir859708136nction @ r)) = $true)),
% 3.27/0.97 inference(cnf_transformation,[],[f745])).
% 3.27/0.97 thf(f1298,plain,(
% 3.27/0.97 (((hF_Mir859708136nction @ (hF_Mir165288108strict @ r @ x))) != $true)),
% 3.27/0.97 inference(cnf_transformation,[],[f769])).
% 3.27/0.97 thf(f1301,plain,(
% 3.27/0.97 (hF_Mirabelle_hpair = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: ((^[Y2 : hF_Mirabelle_hf]: ((^[Y3 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y2 @ (hF_Mirabelle_hfset @ Y3)))))) @ ((^[Y2 : hF_Mirabelle_hf]: ((^[Y3 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y2 @ (hF_Mirabelle_hfset @ Y3)))))) @ Y0 @ zero_zero @ hF_Mirabelle_hf) @ ((^[Y2 : hF_Mirabelle_hf]: ((^[Y3 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y2 @ (hF_Mirabelle_hfset @ Y3)))))) @ ((^[Y2 : hF_Mirabelle_hf]: ((^[Y3 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y2 @ (hF_Mirabelle_hfset @ Y3)))))) @ Y0 @ ((^[Y2 : hF_Mirabelle_hf]: ((^[Y3 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y2 @ (hF_Mirabelle_hfset @ Y3)))))) @ Y1 @ zero_zero @ hF_Mirabelle_hf)) @ zero_zero @ hF_Mirabelle_hf))))))),
% 3.27/0.98 inference(definition_unfolding,[],[f1047,f1194,f1194,f1194,f1194,f1194])).
% 3.27/0.98 thf(f1303,plain,(
% 3.27/0.98 (hF_Mir859708136nction = (^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: (((^[Y3 : hF_Mirabelle_hf]: ((^[Y4 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y3 @ (hF_Mirabelle_hfset @ Y4))))) @ ((^[Y3 : hF_Mirabelle_hf]: ((^[Y4 : hF_Mirabelle_hf]: ((^[Y5 : hF_Mirabelle_hf]: ((^[Y6 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y5 @ (hF_Mirabelle_hfset @ Y6)))))) @ ((^[Y5 : hF_Mirabelle_hf]: ((^[Y6 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y5 @ (hF_Mirabelle_hfset @ Y6)))))) @ Y3 @ zero_zero @ hF_Mirabelle_hf) @ ((^[Y5 : hF_Mirabelle_hf]: ((^[Y6 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y5 @ (hF_Mirabelle_hfset @ Y6)))))) @ ((^[Y5 : hF_Mirabelle_hf]: ((^[Y6 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y5 @ (hF_Mirabelle_hfset @ Y6)))))) @ Y3 @ ((^[Y5 : hF_Mirabelle_hf]: ((^[Y6 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y5 @ (hF_Mirabelle_hfset @ Y6)))))) @ Y4 @ zero_zero @ hF_Mirabelle_hf)) @ zero_zero @ hF_Mirabelle_hf))))) @ Y2 @ Y1) @ Y0) => (!! @ hF_Mirabelle_hf @ (^[Y3 : hF_Mirabelle_hf]: (((^[Y4 : hF_Mirabelle_hf]: ((^[Y5 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y4 @ (hF_Mirabelle_hfset @ Y5))))) @ ((^[Y4 : hF_Mirabelle_hf]: ((^[Y5 : hF_Mirabelle_hf]: ((^[Y6 : hF_Mirabelle_hf]: ((^[Y7 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y6 @ (hF_Mirabelle_hfset @ Y7)))))) @ ((^[Y6 : hF_Mirabelle_hf]: ((^[Y7 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y6 @ (hF_Mirabelle_hfset @ Y7)))))) @ Y4 @ zero_zero @ hF_Mirabelle_hf) @ ((^[Y6 : hF_Mirabelle_hf]: ((^[Y7 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y6 @ (hF_Mirabelle_hfset @ Y7)))))) @ ((^[Y6 : hF_Mirabelle_hf]: ((^[Y7 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y6 @ (hF_Mirabelle_hfset @ Y7)))))) @ Y4 @ ((^[Y6 : hF_Mirabelle_hf]: ((^[Y7 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y6 @ (hF_Mirabelle_hfset @ Y7)))))) @ Y5 @ zero_zero @ hF_Mirabelle_hf)) @ zero_zero @ hF_Mirabelle_hf))))) @ Y2 @ Y3) @ Y0) => (Y1 = Y3)))))))))))),
% 3.27/0.98 inference(definition_unfolding,[],[f970,f1012,f1301,f1012,f1301])).
% 3.27/0.98 thf(f1306,plain,(
% 3.27/0.98 ( ! [X2 : hF_Mirabelle_hf,X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (((((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ Y1))))) @ X0 @ (hF_Mir165288108strict @ X1 @ X2))) = ((((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ Y1))))) @ X0 @ X1) & (?? @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (?? @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: ((((^[Y2 : hF_Mirabelle_hf]: ((^[Y3 : hF_Mirabelle_hf]: ((^[Y4 : hF_Mirabelle_hf]: ((^[Y5 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y4 @ (hF_Mirabelle_hfset @ Y5)))))) @ ((^[Y4 : hF_Mirabelle_hf]: ((^[Y5 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y4 @ (hF_Mirabelle_hfset @ Y5)))))) @ Y2 @ zero_zero @ hF_Mirabelle_hf) @ ((^[Y4 : hF_Mirabelle_hf]: ((^[Y5 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y4 @ (hF_Mirabelle_hfset @ Y5)))))) @ ((^[Y4 : hF_Mirabelle_hf]: ((^[Y5 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y4 @ (hF_Mirabelle_hfset @ Y5)))))) @ Y2 @ ((^[Y4 : hF_Mirabelle_hf]: ((^[Y5 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y4 @ (hF_Mirabelle_hfset @ Y5)))))) @ Y3 @ zero_zero @ hF_Mirabelle_hf)) @ zero_zero @ hF_Mirabelle_hf))))) @ Y1 @ Y0) = X0) & ((^[Y2 : hF_Mirabelle_hf]: ((^[Y3 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y2 @ (hF_Mirabelle_hfset @ Y3))))) @ Y1 @ X2)))))))))) )),
% 3.27/0.98 inference(definition_unfolding,[],[f971,f1012,f1012,f1301,f1012])).
% 3.27/0.98 thf(f1391,plain,(
% 3.27/0.98 ($true = (((^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: (((^[Y3 : hF_Mirabelle_hf]: ((^[Y4 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y3 @ (hF_Mirabelle_hfset @ Y4))))) @ ((^[Y3 : hF_Mirabelle_hf]: ((^[Y4 : hF_Mirabelle_hf]: ((^[Y5 : hF_Mirabelle_hf]: ((^[Y6 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y5 @ (hF_Mirabelle_hfset @ Y6)))))) @ ((^[Y5 : hF_Mirabelle_hf]: ((^[Y6 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y5 @ (hF_Mirabelle_hfset @ Y6)))))) @ Y3 @ zero_zero @ hF_Mirabelle_hf) @ ((^[Y5 : hF_Mirabelle_hf]: ((^[Y6 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y5 @ (hF_Mirabelle_hfset @ Y6)))))) @ ((^[Y5 : hF_Mirabelle_hf]: ((^[Y6 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y5 @ (hF_Mirabelle_hfset @ Y6)))))) @ Y3 @ ((^[Y5 : hF_Mirabelle_hf]: ((^[Y6 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y5 @ (hF_Mirabelle_hfset @ Y6)))))) @ Y4 @ zero_zero @ hF_Mirabelle_hf)) @ zero_zero @ hF_Mirabelle_hf))))) @ Y2 @ Y1) @ Y0) => (!! @ hF_Mirabelle_hf @ (^[Y3 : hF_Mirabelle_hf]: (((^[Y4 : hF_Mirabelle_hf]: ((^[Y5 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y4 @ (hF_Mirabelle_hfset @ Y5))))) @ ((^[Y4 : hF_Mirabelle_hf]: ((^[Y5 : hF_Mirabelle_hf]: ((^[Y6 : hF_Mirabelle_hf]: ((^[Y7 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y6 @ (hF_Mirabelle_hfset @ Y7)))))) @ ((^[Y6 : hF_Mirabelle_hf]: ((^[Y7 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y6 @ (hF_Mirabelle_hfset @ Y7)))))) @ Y4 @ zero_zero @ hF_Mirabelle_hf) @ ((^[Y6 : hF_Mirabelle_hf]: ((^[Y7 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y6 @ (hF_Mirabelle_hfset @ Y7)))))) @ ((^[Y6 : hF_Mirabelle_hf]: ((^[Y7 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y6 @ (hF_Mirabelle_hfset @ Y7)))))) @ Y4 @ ((^[Y6 : hF_Mirabelle_hf]: ((^[Y7 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y6 @ (hF_Mirabelle_hfset @ Y7)))))) @ Y5 @ zero_zero @ hF_Mirabelle_hf)) @ zero_zero @ hF_Mirabelle_hf))))) @ Y2 @ Y3) @ Y0) => (Y1 = Y3)))))))))) @ r)))),
% 3.27/0.98 inference(definition_unfolding,[],[f1297,f1303])).
% 3.27/0.98 thf(f1392,plain,(
% 3.27/0.98 ($true != (((^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: (((^[Y3 : hF_Mirabelle_hf]: ((^[Y4 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y3 @ (hF_Mirabelle_hfset @ Y4))))) @ ((^[Y3 : hF_Mirabelle_hf]: ((^[Y4 : hF_Mirabelle_hf]: ((^[Y5 : hF_Mirabelle_hf]: ((^[Y6 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y5 @ (hF_Mirabelle_hfset @ Y6)))))) @ ((^[Y5 : hF_Mirabelle_hf]: ((^[Y6 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y5 @ (hF_Mirabelle_hfset @ Y6)))))) @ Y3 @ zero_zero @ hF_Mirabelle_hf) @ ((^[Y5 : hF_Mirabelle_hf]: ((^[Y6 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y5 @ (hF_Mirabelle_hfset @ Y6)))))) @ ((^[Y5 : hF_Mirabelle_hf]: ((^[Y6 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y5 @ (hF_Mirabelle_hfset @ Y6)))))) @ Y3 @ ((^[Y5 : hF_Mirabelle_hf]: ((^[Y6 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y5 @ (hF_Mirabelle_hfset @ Y6)))))) @ Y4 @ zero_zero @ hF_Mirabelle_hf)) @ zero_zero @ hF_Mirabelle_hf))))) @ Y2 @ Y1) @ Y0) => (!! @ hF_Mirabelle_hf @ (^[Y3 : hF_Mirabelle_hf]: (((^[Y4 : hF_Mirabelle_hf]: ((^[Y5 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y4 @ (hF_Mirabelle_hfset @ Y5))))) @ ((^[Y4 : hF_Mirabelle_hf]: ((^[Y5 : hF_Mirabelle_hf]: ((^[Y6 : hF_Mirabelle_hf]: ((^[Y7 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y6 @ (hF_Mirabelle_hfset @ Y7)))))) @ ((^[Y6 : hF_Mirabelle_hf]: ((^[Y7 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y6 @ (hF_Mirabelle_hfset @ Y7)))))) @ Y4 @ zero_zero @ hF_Mirabelle_hf) @ ((^[Y6 : hF_Mirabelle_hf]: ((^[Y7 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y6 @ (hF_Mirabelle_hfset @ Y7)))))) @ ((^[Y6 : hF_Mirabelle_hf]: ((^[Y7 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y6 @ (hF_Mirabelle_hfset @ Y7)))))) @ Y4 @ ((^[Y6 : hF_Mirabelle_hf]: ((^[Y7 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y6 @ (hF_Mirabelle_hfset @ Y7)))))) @ Y5 @ zero_zero @ hF_Mirabelle_hf)) @ zero_zero @ hF_Mirabelle_hf))))) @ Y2 @ Y3) @ Y0) => (Y1 = Y3)))))))))) @ (hF_Mir165288108strict @ r @ x))))),
% 3.27/0.98 inference(definition_unfolding,[],[f1298,f1303])).
% 3.27/0.98 thf(f1408,plain,(
% 3.27/0.98 ($true != ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ (hF_Mir165288108strict @ r @ x))) => (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y2 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ (hF_Mir165288108strict @ r @ x))) => (Y0 = Y2)))))))))))),
% 3.27/0.98 inference(beta-eta_normalization,[],[f1392])).
% 3.27/0.98 thf(f1409,plain,(
% 3.27/0.98 ($false = (((^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ (hF_Mir165288108strict @ r @ x))) => (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y2 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ (hF_Mir165288108strict @ r @ x))) => (Y0 = Y2)))))))) @ sK46)))),
% 3.27/0.98 inference(sigma_proxy_clausification,[],[f1408])).
% 3.27/0.98 thf(f1410,plain,(
% 3.27/0.98 ($false = ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK46 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ (hF_Mir165288108strict @ r @ x))) => (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ (hF_Mir165288108strict @ r @ x))) => (sK46 = Y1)))))))))),
% 3.27/0.98 inference(beta-eta_normalization,[],[f1409])).
% 3.27/0.98 thf(f1411,plain,(
% 3.27/0.98 ($false = (((^[Y0 : hF_Mirabelle_hf]: ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK46 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ (hF_Mir165288108strict @ r @ x))) => (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ (hF_Mir165288108strict @ r @ x))) => (sK46 = Y1)))))) @ sK47)))),
% 3.27/0.98 inference(sigma_proxy_clausification,[],[f1410])).
% 3.27/0.98 thf(f1412,plain,(
% 3.27/0.98 ($false = (((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK46 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ (hF_Mir165288108strict @ r @ x))) => (!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ (hF_Mir165288108strict @ r @ x))) => (sK46 = Y0)))))))),
% 3.27/0.98 inference(beta-eta_normalization,[],[f1411])).
% 3.27/0.98 thf(f1413,plain,(
% 3.27/0.98 ($false = ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ (hF_Mir165288108strict @ r @ x))) => (sK46 = Y0))))))),
% 3.27/0.98 inference(imp_proxy_clausification,[],[f1412])).
% 3.27/0.98 thf(f1414,plain,(
% 3.27/0.98 ($true = ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK46 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ (hF_Mir165288108strict @ r @ x)))))),
% 3.27/0.98 inference(imp_proxy_clausification,[],[f1412])).
% 3.27/0.98 thf(f1415,plain,(
% 3.27/0.98 ($false = (((^[Y0 : hF_Mirabelle_hf]: ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ (hF_Mir165288108strict @ r @ x))) => (sK46 = Y0))) @ sK48)))),
% 3.27/0.98 inference(sigma_proxy_clausification,[],[f1413])).
% 3.27/0.98 thf(f1416,plain,(
% 3.27/0.98 ($false = (((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK48 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ (hF_Mir165288108strict @ r @ x))) => (sK46 = sK48))))),
% 3.27/0.98 inference(beta-eta_normalization,[],[f1415])).
% 3.27/0.98 thf(f1417,plain,(
% 3.27/0.98 ($false = ((sK46 = sK48)))),
% 3.27/0.98 inference(imp_proxy_clausification,[],[f1416])).
% 3.27/0.98 thf(f1418,plain,(
% 3.27/0.98 ($true = ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK48 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ (hF_Mir165288108strict @ r @ x)))))),
% 3.27/0.98 inference(imp_proxy_clausification,[],[f1416])).
% 3.27/0.98 thf(f1419,plain,(
% 3.27/0.98 (sK46 != sK48)),
% 3.27/0.98 inference(equality_proxy_clausification,[],[f1417])).
% 3.27/0.98 thf(f1420,plain,(
% 3.27/0.98 ($true = ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r)) => (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y2 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r)) => (Y0 = Y2)))))))))))),
% 3.27/0.98 inference(beta-eta_normalization,[],[f1391])).
% 3.27/0.98 thf(f1421,plain,(
% 3.27/0.98 ( ! [X1 : hF_Mirabelle_hf] : (($true = (((^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r)) => (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y2 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r)) => (Y0 = Y2)))))))) @ X1)))) )),
% 3.27/0.98 inference(pi_proxy_clausification,[],[f1420])).
% 3.27/0.98 thf(f1422,plain,(
% 3.27/0.98 ( ! [X1 : hF_Mirabelle_hf] : (($true = ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X1 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r)) => (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r)) => (X1 = Y1)))))))))) )),
% 3.27/0.98 inference(beta-eta_normalization,[],[f1421])).
% 3.27/0.98 thf(f1423,plain,(
% 3.27/0.98 ( ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($true = (((^[Y0 : hF_Mirabelle_hf]: ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X1 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r)) => (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r)) => (X1 = Y1)))))) @ X2)))) )),
% 3.27/0.98 inference(pi_proxy_clausification,[],[f1422])).
% 3.27/0.98 thf(f1424,plain,(
% 3.27/0.98 ( ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($true = (((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X1 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r)) => (!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r)) => (X1 = Y0)))))))) )),
% 3.27/0.98 inference(beta-eta_normalization,[],[f1423])).
% 3.27/0.98 thf(f1425,plain,(
% 3.27/0.98 ( ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($false = ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X1 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r)))) | ($true = ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r)) => (X1 = Y0))))))) )),
% 3.27/0.98 inference(imp_proxy_clausification,[],[f1424])).
% 3.27/0.98 thf(f1426,plain,(
% 3.27/0.98 ( ! [X2 : hF_Mirabelle_hf,X3 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($false = ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X1 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r)))) | ($true = (((^[Y0 : hF_Mirabelle_hf]: ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r)) => (X1 = Y0))) @ X3)))) )),
% 3.27/0.98 inference(pi_proxy_clausification,[],[f1425])).
% 3.27/0.98 thf(f1427,plain,(
% 3.27/0.98 ( ! [X2 : hF_Mirabelle_hf,X3 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($false = ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X1 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r)))) | ($true = (((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X3 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r)) => (X1 = X3))))) )),
% 3.27/0.98 inference(beta-eta_normalization,[],[f1426])).
% 3.27/0.98 thf(f1428,plain,(
% 3.27/0.98 ( ! [X2 : hF_Mirabelle_hf,X3 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($false = ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X1 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r)))) | ($false = ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X3 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r)))) | ($true = ((X1 = X3)))) )),
% 3.27/0.98 inference(imp_proxy_clausification,[],[f1427])).
% 3.27/0.98 thf(f1429,plain,(
% 3.27/0.98 ( ! [X2 : hF_Mirabelle_hf,X3 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($false = ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X1 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r)))) | ($false = ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X2 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X3 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r)))) | (X1 = X3)) )),
% 3.27/0.98 inference(equality_proxy_clausification,[],[f1428])).
% 3.27/0.98 thf(f2408,plain,(
% 3.27/0.98 ( ! [X2 : hF_Mirabelle_hf,X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($false = (((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ Y1))))) @ X0 @ (hF_Mir165288108strict @ X1 @ X2)))) | ($true = ((((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ Y1))))) @ X0 @ X1) & (?? @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (?? @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: ((((^[Y2 : hF_Mirabelle_hf]: ((^[Y3 : hF_Mirabelle_hf]: ((^[Y4 : hF_Mirabelle_hf]: ((^[Y5 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y4 @ (hF_Mirabelle_hfset @ Y5)))))) @ ((^[Y4 : hF_Mirabelle_hf]: ((^[Y5 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y4 @ (hF_Mirabelle_hfset @ Y5)))))) @ Y2 @ zero_zero @ hF_Mirabelle_hf) @ ((^[Y4 : hF_Mirabelle_hf]: ((^[Y5 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y4 @ (hF_Mirabelle_hfset @ Y5)))))) @ ((^[Y4 : hF_Mirabelle_hf]: ((^[Y5 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y4 @ (hF_Mirabelle_hfset @ Y5)))))) @ Y2 @ ((^[Y4 : hF_Mirabelle_hf]: ((^[Y5 : hF_Mirabelle_hf]: (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ Y4 @ (hF_Mirabelle_hfset @ Y5)))))) @ Y3 @ zero_zero @ hF_Mirabelle_hf)) @ zero_zero @ hF_Mirabelle_hf))))) @ Y1 @ Y0) = X0) & ((^[Y2 : hF_Mirabelle_hf]: ((^[Y3 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y2 @ (hF_Mirabelle_hfset @ Y3))))) @ Y1 @ X2)))))))))) )),
% 3.27/0.98 inference(iff_proxy_clausification,[],[f1306])).
% 3.27/0.98 thf(f2410,plain,(
% 3.27/0.98 ( ! [X2 : hF_Mirabelle_hf,X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($false = (((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ Y1))))) @ X0 @ (hF_Mir165288108strict @ X1 @ X2)))) | ($true = (((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ Y1))))) @ X0 @ X1)))) )),
% 3.27/0.98 inference(and_proxy_clausification,[],[f2408])).
% 3.27/0.98 thf(f2411,plain,(
% 3.27/0.98 ( ! [X2 : hF_Mirabelle_hf,X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($false = ((member @ hF_Mirabelle_hf @ X0 @ (hF_Mirabelle_hfset @ (hF_Mir165288108strict @ X1 @ X2))))) | (((member @ hF_Mirabelle_hf @ X0 @ (hF_Mirabelle_hfset @ X1))) = $true)) )),
% 3.27/0.98 inference(beta-eta_normalization,[],[f2410])).
% 3.27/0.98 thf(f2454,plain,(
% 3.27/0.98 ($true = $false) | ($true = ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK46 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r))))),
% 3.27/0.98 inference(constrained_superposition,[],[f1414,f2411])).
% 3.27/0.98 thf(f2455,plain,(
% 3.27/0.98 ($true = $false) | ($true = ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK48 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r))))),
% 3.27/0.98 inference(constrained_superposition,[],[f1418,f2411])).
% 3.27/0.98 thf(f2456,plain,(
% 3.27/0.98 ($true = ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK48 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r))))),
% 3.27/0.98 inference(trivial_inequality_removal,[],[f2455])).
% 3.27/0.98 thf(f2457,plain,(
% 3.27/0.98 ($true = ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK46 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r))))),
% 3.27/0.98 inference(trivial_inequality_removal,[],[f2454])).
% 3.27/0.98 thf(f3774,plain,(
% 3.27/0.98 ( ! [X0 : hF_Mirabelle_hf] : (($true = $false) | ($false = ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X0 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r)))) | (sK46 = X0)) )),
% 3.27/0.98 inference(constrained_superposition,[],[f2457,f1429])).
% 3.27/0.98 thf(f3777,plain,(
% 3.27/0.98 ( ! [X0 : hF_Mirabelle_hf] : (($false = ((member @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf))) @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ sK47 @ (hF_Mirabelle_hfset @ (hF_Mirabelle_HF @ (insert @ hF_Mirabelle_hf @ X0 @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ zero_zero @ hF_Mirabelle_hf)))))) @ (hF_Mirabelle_hfset @ r)))) | (sK46 = X0)) )),
% 3.27/0.98 inference(trivial_inequality_removal,[],[f3774])).
% 3.27/0.98 thf(f3906,plain,(
% 3.27/0.98 ($true = $false) | (sK46 = sK48)),
% 3.27/0.98 inference(constrained_superposition,[],[f2456,f3777])).
% 3.27/0.98 thf(f3907,plain,(
% 3.27/0.98 (sK46 = sK48)),
% 3.27/0.98 inference(trivial_inequality_removal,[],[f3906])).
% 3.27/0.98 thf(f3953,plain,(
% 3.27/0.98 $false),
% 3.27/0.98 inference(forward_subsumption_resolution,[],[f3907,f1419])).
% 3.27/0.98 % SZS output end Proof for theBenchmark
% 3.27/0.98 % (805392)------------------------------
% 3.27/0.98 % (805392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.98 % (805392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.98 % (805392)CaDiCaL version: 2.1.3
% 3.27/0.98 % (805392)Termination reason: Refutation
% 3.27/0.98 % (805392)Time elapsed: 0.439 s
% 3.27/0.98 % (805392)Peak memory usage: 16 MB
% 3.27/0.98 % (805392)Instructions burned: 508 (million)
% 3.27/0.98 % (805370)Success in time 0.637 s
% 3.27/0.98 % Vampire exiting
%------------------------------------------------------------------------------