%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT219^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 07:49:03 AM UTC 2026
% Result : Theorem 0.80s 0.40s
% Output : Refutation 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT219^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 % Computer : n017.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Sep 29 18:05:52 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.24 Running first-order model finding
% 0.08/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.80/0.40 % (694734)Will run a generic schedule for satisfiability detection.
% 0.80/0.40 % (694744)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=290248386:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.80/0.40 % (694740)% WARNING: option uhcvi not known.
% 0.80/0.40 % (694739)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3983223252_2999 on theBenchmark for (2999ds/0Mi)
% 0.80/0.40 % (694742)dis+10_1_sil=32000:sp=arity:random_seed=3259722889:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.80/0.40 % (694740)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3576335398:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.80/0.40 % (694743)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3512740255:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.80/0.40 % (694740)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.80/0.40 % (694745)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1237394203:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.80/0.40 % (694741)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2297727241:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.80/0.40 % (694743)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.80/0.40 % (694744)Instruction limit reached!
% 0.80/0.40 % (694744)------------------------------
% 0.80/0.40 % (694744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.40 % (694744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.40 % (694744)CaDiCaL version: 2.1.3
% 0.80/0.40 % (694744)Termination reason: Instruction limit
% 0.80/0.40 % (694744)Termination phase: Saturation
% 0.80/0.40 % (694744)Time elapsed: 0.040 s
% 0.80/0.40 % (694744)Peak memory usage: 13 MB
% 0.80/0.40 % (694744)Instructions burned: 135 (million)
% 0.80/0.40 % (694742)Instruction limit reached!
% 0.80/0.40 % (694742)------------------------------
% 0.80/0.40 % (694742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.40 % (694742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.40 % (694742)CaDiCaL version: 2.1.3
% 0.80/0.40 % (694742)Termination reason: Instruction limit
% 0.80/0.40 % (694742)Termination phase: Property scanning
% 0.80/0.40 % (694742)Time elapsed: 0.047 s
% 0.80/0.40 % (694742)Peak memory usage: 11 MB
% 0.80/0.40 % (694742)Instructions burned: 103 (million)
% 0.80/0.40 % (694740)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.80/0.40 % (694753)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2799222015:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.80/0.40 % Exception at run slice level
% 0.80/0.40 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.80/0.40 % (694743)Instruction limit reached!
% 0.80/0.40 % (694743)------------------------------
% 0.80/0.40 % (694743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.40 % (694743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.40 % (694743)CaDiCaL version: 2.1.3
% 0.80/0.40 % (694743)Termination reason: Instruction limit
% 0.80/0.40 % (694743)Termination phase: Saturation
% 0.80/0.40 % (694743)Time elapsed: 0.052 s
% 0.80/0.40 % (694743)Peak memory usage: 12 MB
% 0.80/0.40 % (694743)Instructions burned: 117 (million)
% 0.80/0.40 % (694754)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=548609044:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.80/0.40 % (694756)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=108986097:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.80/0.40 % Exception at run slice level
% 0.80/0.40 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.80/0.40 % (694758)ott-21_1_sil=16000:fs=off:random_seed=3509276106:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.80/0.40 % (694760)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3920429802:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.80/0.40 % (694740) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-694734-694740"...
% 0.80/0.40 % (694756)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.80/0.40 % (694740)...printing done.
% 0.80/0.40 % (694745)Instruction limit reached!
% 0.80/0.40 % (694745)------------------------------
% 0.80/0.40 % (694745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.40 % (694745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.40 % (694745)CaDiCaL version: 2.1.3
% 0.80/0.40 % (694745)Termination reason: Instruction limit
% 0.80/0.40 % (694745)Termination phase: Saturation
% 0.80/0.40 % (694745)Time elapsed: 0.077 s
% 0.80/0.40 % (694745)Peak memory usage: 13 MB
% 0.80/0.40 % (694745)Instructions burned: 159 (million)
% 0.80/0.40 % (694740)Refutation found. Thanks to Tanya!
% 0.80/0.40 % SZS status Theorem for theBenchmark
% 0.80/0.40 % SZS output start Proof for theBenchmark
% 0.80/0.40 thf(type_def_5, type, tLList446370796tllist: ($tType * $tType) > $tType).
% 0.80/0.40 thf(type_def_6, type, set: $tType > $tType).
% 0.80/0.40 thf(type_def_7, type, itself: $tType > $tType).
% 0.80/0.40 thf(type_def_8, type, b: $tType).
% 0.80/0.40 thf(type_def_9, type, a: $tType).
% 0.80/0.40 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 0.80/0.40 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.80/0.40 thf(func_def_1, type, bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.80/0.40 thf(func_def_2, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.80/0.40 thf(func_def_3, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.80/0.40 thf(func_def_4, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.80/0.40 thf(func_def_5, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.80/0.40 thf(func_def_6, type, order_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.80/0.40 thf(func_def_7, type, fcomp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X1 > X2) > X0 > X2))).
% 0.80/0.40 thf(func_def_8, type, id: !>[X0: $tType]:((X0 > X0))).
% 0.80/0.40 thf(func_def_9, type, override_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > set @ X0 > X0 > X1))).
% 0.80/0.40 thf(func_def_10, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.80/0.40 thf(func_def_11, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 0.80/0.40 thf(func_def_12, type, undefined: !>[X0: $tType]:(X0)).
% 0.80/0.40 thf(func_def_13, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.80/0.40 thf(func_def_14, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.80/0.40 thf(func_def_15, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.80/0.40 thf(func_def_16, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.80/0.40 thf(func_def_17, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.80/0.40 thf(func_def_18, type, inv_imagep: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1 > X1 > $o))).
% 0.80/0.40 thf(func_def_19, type, ball: !>[X0: $tType]:((set @ X0 > (X0 > $o) > $o))).
% 0.80/0.40 thf(func_def_20, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.80/0.40 thf(func_def_21, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.80/0.40 thf(func_def_22, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 0.80/0.40 thf(func_def_23, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 0.80/0.40 thf(func_def_24, type, pairwise: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 0.80/0.40 thf(func_def_25, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 0.80/0.40 thf(func_def_26, type, tLList1825092077minal0: !>[X0: $tType]:(X0)).
% 0.80/0.40 thf(func_def_27, type, tLList1992840728_TCons: !>[X0: $tType, X1: $tType]:((X0 > tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1))).
% 0.80/0.40 thf(func_def_28, type, tLList57907754e_TNil: !>[X0: $tType, X1: $tType]:((X0 > tLList446370796tllist @ X1 @ X0))).
% 0.80/0.40 thf(func_def_29, type, tLList200813139tllist: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > tLList446370796tllist @ X2 @ X0 > X1) > tLList446370796tllist @ X2 @ X0 > X1))).
% 0.80/0.40 thf(func_def_30, type, tLList1614408749tllist: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > X2) > (X0 > $o) > (X0 > tLList446370796tllist @ X2 @ X1) > (X0 > X0) > X0 > tLList446370796tllist @ X2 @ X1))).
% 0.80/0.40 thf(func_def_31, type, tLList1968894004s_TNil: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > $o))).
% 0.80/0.40 thf(func_def_32, type, tLList11265572tllist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > $o) > tLList446370796tllist @ X0 @ X1 > $o))).
% 0.80/0.40 thf(func_def_33, type, tLList457864275tllist: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > set @ X1))).
% 0.80/0.40 thf(func_def_34, type, tLList2110128105rminal: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X1))).
% 0.80/0.40 thf(func_def_35, type, tLList_Mirabelle_thd: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X0))).
% 0.80/0.40 thf(func_def_36, type, tLList1380991092t_all2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (X2 > X3 > $o) > tLList446370796tllist @ X0 @ X2 > tLList446370796tllist @ X1 @ X3 > $o))).
% 0.80/0.40 thf(func_def_37, type, tLList1669959861e_tmap: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > tLList446370796tllist @ X0 @ X2 > tLList446370796tllist @ X1 @ X3))).
% 0.80/0.40 thf(func_def_38, type, tLList1719791291e_tset: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > set @ X0))).
% 0.80/0.40 thf(func_def_39, type, tLList_Mirabelle_ttl: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1))).
% 0.80/0.40 thf(func_def_40, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.80/0.40 thf(func_def_41, type, x: tLList446370796tllist @ a @ b).
% 0.80/0.40 thf(func_def_42, type, x1: b).
% 0.80/0.40 thf(func_def_44, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.80/0.40 thf(func_def_47, type, db0: !>[X0: $tType]:(X0)).
% 0.80/0.40 thf(func_def_48, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.80/0.40 thf(func_def_49, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.80/0.40 thf(func_def_50, type, db1: !>[X0: $tType]:(X0)).
% 0.80/0.40 thf(func_def_51, type, db2: !>[X0: $tType]:(X0)).
% 0.80/0.40 thf(func_def_52, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.80/0.40 thf(func_def_53, type, vAND: ($o > $o > $o)).
% 0.80/0.40 thf(func_def_54, type, vIMP: ($o > $o > $o)).
% 0.80/0.40 thf(func_def_55, type, vNOT: ($o > $o)).
% 0.80/0.40 thf(func_def_56, type, vOR: ($o > $o > $o)).
% 0.80/0.40 thf(func_def_57, type, db3: !>[X0: $tType]:(X0)).
% 0.80/0.40 thf(func_def_58, type, db6: !>[X0: $tType]:(X0)).
% 0.80/0.40 thf(func_def_59, type, db5: !>[X0: $tType]:(X0)).
% 0.80/0.40 thf(func_def_60, type, db4: !>[X0: $tType]:(X0)).
% 0.80/0.40 thf(func_def_61, type, sP0: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o))).
% 0.80/0.40 thf(func_def_62, type, sP1: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o))).
% 0.80/0.40 thf(func_def_63, type, sP2: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o))).
% 0.80/0.40 thf(func_def_64, type, sP3: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > X0 > $o) > tLList446370796tllist @ X3 @ X2 > tLList446370796tllist @ X1 @ X0 > $o))).
% 0.80/0.40 thf(func_def_65, type, sP4: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > (X0 > $o) > (X0 > $o) > $o))).
% 0.80/0.40 thf(func_def_66, type, sP5: !>[X0: $tType, X1: $tType, X2: $tType]:((tLList446370796tllist @ X0 @ X2 > tLList446370796tllist @ X0 @ X2 > (X0 > X1) > (X0 > X1) > $o))).
% 0.80/0.40 thf(func_def_67, type, sP6: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X3 @ X1 > tLList446370796tllist @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > $o))).
% 0.80/0.40 thf(func_def_68, type, sP7: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > tLList446370796tllist @ X0 @ X2 > (X1 > X0 > $o) > (X1 > X0 > $o) > $o))).
% 0.80/0.40 thf(func_def_69, type, sP8: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > tLList446370796tllist @ X0 @ X2 > (X1 > X0 > $o) > (X1 > X0 > $o) > $o))).
% 0.80/0.40 thf(func_def_70, type, sP9: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.80/0.40 thf(func_def_71, type, sP10: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.80/0.40 thf(func_def_72, type, sP11: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.80/0.40 thf(func_def_73, type, sK12: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X0 @ X1 > X1 > $o) > tLList446370796tllist @ X0 @ X1 > X1))).
% 0.80/0.40 thf(func_def_74, type, sK13: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X0 @ X1 > X1 > $o) > tLList446370796tllist @ X0 @ X1))).
% 0.80/0.40 thf(func_def_75, type, sK14: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X0 @ X1 > X1 > $o) > X1))).
% 0.80/0.40 thf(func_def_76, type, sK15: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > tLList446370796tllist @ X1 @ X0))).
% 0.80/0.40 thf(func_def_77, type, sK16: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > tLList446370796tllist @ X1 @ X0))).
% 0.80/0.40 thf(func_def_78, type, sK17: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > tLList446370796tllist @ X1 @ X0))).
% 0.80/0.40 thf(func_def_79, type, sK18: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > tLList446370796tllist @ X1 @ X0))).
% 0.80/0.40 thf(func_def_80, type, sK19: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X1 > X1))).
% 0.80/0.40 thf(func_def_81, type, sK20: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X1 > tLList446370796tllist @ X1 @ X0))).
% 0.80/0.40 thf(func_def_82, type, sK21: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X1 > tLList446370796tllist @ X1 @ X0))).
% 0.80/0.40 thf(func_def_83, type, sK22: !>[X0: $tType, X1: $tType]:(((X1 > tLList446370796tllist @ X1 @ X0 > $o) > X1))).
% 0.80/0.40 thf(func_def_84, type, sK23: !>[X0: $tType, X1: $tType]:(((X1 > tLList446370796tllist @ X1 @ X0 > $o) > tLList446370796tllist @ X1 @ X0))).
% 0.80/0.40 thf(func_def_85, type, sK24: !>[X0: $tType, X1: $tType]:(((X1 > tLList446370796tllist @ X1 @ X0 > $o) > X1))).
% 0.80/0.40 thf(func_def_86, type, sK25: !>[X0: $tType, X1: $tType]:(((X1 > tLList446370796tllist @ X1 @ X0 > $o) > X1))).
% 0.80/0.40 thf(func_def_87, type, sK26: !>[X0: $tType, X1: $tType]:(((X1 > tLList446370796tllist @ X1 @ X0 > $o) > tLList446370796tllist @ X1 @ X0))).
% 0.80/0.40 thf(func_def_88, type, sK27: !>[X0: $tType, X1: $tType]:(((X0 > tLList446370796tllist @ X1 @ X0 > $o) > X1))).
% 0.80/0.40 thf(func_def_89, type, sK28: !>[X0: $tType, X1: $tType]:(((X0 > tLList446370796tllist @ X1 @ X0 > $o) > tLList446370796tllist @ X1 @ X0))).
% 0.80/0.40 thf(func_def_90, type, sK29: !>[X0: $tType, X1: $tType]:(((X0 > tLList446370796tllist @ X1 @ X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_91, type, sK30: !>[X0: $tType, X1: $tType]:(((X0 > tLList446370796tllist @ X1 @ X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_92, type, sK31: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X0 > X1))).
% 0.80/0.40 thf(func_def_93, type, sK32: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X0 > tLList446370796tllist @ X1 @ X0))).
% 0.80/0.40 thf(func_def_94, type, sK33: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_95, type, sK34: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0))).
% 0.80/0.40 thf(func_def_96, type, sK35: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_97, type, sK36: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X3 > $o) > (X1 > X2 > $o) > (tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X3 @ X2 > $o) > tLList446370796tllist @ X0 @ X1))).
% 0.80/0.40 thf(func_def_98, type, sK37: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X3 > $o) > (X1 > X2 > $o) > (tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X3 @ X2 > $o) > tLList446370796tllist @ X3 @ X2))).
% 0.80/0.40 thf(func_def_99, type, sK38: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_100, type, sK39: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.80/0.40 thf(func_def_101, type, sK40: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_102, type, sK41: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_103, type, sK42: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > (X0 > $o) > (X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_104, type, sK43: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_105, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0) > (X1 > X0) > tLList446370796tllist @ X2 @ X1 > X1))).
% 0.80/0.40 thf(func_def_106, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > (X2 > X0) > tLList446370796tllist @ X2 @ X1 > X2))).
% 0.80/0.40 thf(func_def_107, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0) > (X1 > X0) > tLList446370796tllist @ X2 @ X1 > X1))).
% 0.80/0.40 thf(func_def_108, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > (X2 > X0) > tLList446370796tllist @ X2 @ X1 > X2))).
% 0.80/0.40 thf(func_def_109, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType]:((tLList446370796tllist @ X0 @ X2 > tLList446370796tllist @ X0 @ X2 > (X0 > X1) > (X0 > X1) > X0))).
% 0.80/0.40 thf(func_def_110, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType]:((tLList446370796tllist @ X0 @ X2 > tLList446370796tllist @ X0 @ X2 > (X0 > X1) > (X0 > X1) > X0))).
% 0.80/0.40 thf(func_def_111, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0) > (X1 > X0) > tLList446370796tllist @ X2 @ X1 > tLList446370796tllist @ X2 @ X1 > X1))).
% 0.80/0.40 thf(func_def_112, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0) > (X1 > X0) > tLList446370796tllist @ X2 @ X1 > tLList446370796tllist @ X2 @ X1 > X1))).
% 0.80/0.40 thf(func_def_113, type, sK52: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_114, type, sK53: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_115, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X3 @ X1 > tLList446370796tllist @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > X3))).
% 0.80/0.40 thf(func_def_116, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X3 @ X1 > tLList446370796tllist @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > tLList446370796tllist @ X3 @ X1))).
% 0.80/0.40 thf(func_def_117, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X3 @ X1 > tLList446370796tllist @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > X2))).
% 0.80/0.40 thf(func_def_118, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X3 @ X1 > tLList446370796tllist @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > tLList446370796tllist @ X2 @ X0))).
% 0.80/0.40 thf(func_def_119, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X3 @ X2 > tLList446370796tllist @ X0 @ X1 > (X1 > X2 > $o) > X1))).
% 0.80/0.40 thf(func_def_120, type, sK59: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X3 @ X2 > tLList446370796tllist @ X0 @ X1 > (X1 > X2 > $o) > X2))).
% 0.80/0.40 thf(func_def_121, type, sK60: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_122, type, sK61: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_123, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > tLList446370796tllist @ X0 @ X2 > (X1 > X0 > $o) > (X1 > X0 > $o) > X1))).
% 0.80/0.40 thf(func_def_124, type, sK63: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > tLList446370796tllist @ X0 @ X2 > (X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_125, type, sK64: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X2 > $o) > tLList446370796tllist @ X3 @ X2 > tLList446370796tllist @ X0 @ X1 > (X1 > X2 > $o) > X1))).
% 0.80/0.40 thf(func_def_126, type, sK65: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X2 > $o) > tLList446370796tllist @ X3 @ X2 > tLList446370796tllist @ X0 @ X1 > (X1 > X2 > $o) > X2))).
% 0.80/0.40 thf(func_def_127, type, sK66: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > tLList446370796tllist @ X0 @ X2 > (X1 > X0 > $o) > (X1 > X0 > $o) > X1))).
% 0.80/0.40 thf(func_def_128, type, sK67: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > tLList446370796tllist @ X0 @ X2 > (X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_129, type, sK68: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X2 > $o) > (X1 > X2 > $o) > tLList446370796tllist @ X3 @ X2 > tLList446370796tllist @ X0 @ X1 > X1))).
% 0.80/0.40 thf(func_def_130, type, sK69: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X2 > $o) > (X1 > X2 > $o) > tLList446370796tllist @ X3 @ X2 > tLList446370796tllist @ X0 @ X1 > X2))).
% 0.80/0.40 thf(func_def_131, type, sK70: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 0.80/0.40 thf(func_def_132, type, sK71: !>[X0: $tType]:((set @ X0 > X0))).
% 0.80/0.40 thf(func_def_133, type, sK72: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 0.80/0.40 thf(func_def_134, type, sK73: !>[X0: $tType]:((set @ X0 > X0))).
% 0.80/0.40 thf(func_def_135, type, sK74: !>[X0: $tType]:((set @ X0 > X0))).
% 0.80/0.40 thf(func_def_136, type, sK75: !>[X0: $tType]:((set @ X0 > X0))).
% 0.80/0.40 thf(func_def_137, type, sK76: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 0.80/0.40 thf(func_def_138, type, sK77: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > set @ X0 > X0))).
% 0.80/0.40 thf(func_def_139, type, sK78: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.80/0.40 thf(func_def_140, type, sK79: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_141, type, sK80: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.80/0.40 thf(func_def_142, type, sK81: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.80/0.40 thf(func_def_143, type, sK82: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.80/0.40 thf(func_def_144, type, sK83: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.80/0.40 thf(func_def_145, type, sK84: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.80/0.40 thf(func_def_146, type, sK85: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.80/0.40 thf(func_def_147, type, sK86: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.80/0.40 thf(func_def_148, type, sK87: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.80/0.40 thf(func_def_149, type, sK88: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.80/0.40 thf(func_def_150, type, sK89: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_151, type, sK90: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_152, type, sK91: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_153, type, sK92: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_154, type, sK93: !>[X0: $tType]:((set @ X0 > X0))).
% 0.80/0.40 thf(func_def_155, type, sK94: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X1))).
% 0.80/0.40 thf(func_def_156, type, sK95: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_157, type, sK96: b).
% 0.80/0.40 thf(func_def_158, type, sK97: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 0.80/0.40 thf(func_def_159, type, sK98: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 0.80/0.40 thf(func_def_160, type, sK99: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_161, type, sK100: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0 > X0))).
% 0.80/0.40 thf(func_def_162, type, sK101: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0 > X0))).
% 0.80/0.40 thf(func_def_163, type, sK102: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0 > X0))).
% 0.80/0.40 thf(func_def_164, type, sK103: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0 > X0))).
% 0.80/0.40 thf(func_def_165, type, sK104: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0 > X0))).
% 0.80/0.40 thf(func_def_166, type, sK105: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0 > X0))).
% 0.80/0.40 thf(func_def_167, type, sK106: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 0.80/0.40 thf(func_def_168, type, sK107: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 0.80/0.40 thf(func_def_169, type, sK108: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 0.80/0.40 thf(func_def_170, type, sK109: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 0.80/0.40 thf(func_def_171, type, sK110: !>[X0: $tType]:((X0 > set @ X0 > X0 > set @ X0 > set @ X0))).
% 0.80/0.40 thf(func_def_172, type, sK111: !>[X0: $tType]:((set @ X0 > X0))).
% 0.80/0.40 thf(func_def_173, type, sK112: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_174, type, sK113: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_175, type, sK114: !>[X0: $tType]:((set @ X0 > X0))).
% 0.80/0.40 thf(func_def_176, type, sK115: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X1))).
% 0.80/0.40 thf(func_def_177, type, sK116: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > X0 > (X0 > $o) > (X0 > X0) > (X0 > X2) > (X0 > tLList446370796tllist @ X2 @ X1) > (X0 > $o) > X1))).
% 0.80/0.40 thf(func_def_178, type, sK117: !>[X0: $tType, X1: $tType]:((X1 > (X1 > $o) > X1))).
% 0.80/0.40 thf(func_def_179, type, sK118: !>[X0: $tType, X1: $tType]:((X1 > (X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_180, type, sK119: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X1 > (X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_181, type, sK120: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X1 > (X1 > $o) > X1))).
% 0.80/0.40 thf(func_def_182, type, sK121: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X1 > (X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_183, type, sK122: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X1 > (X1 > $o) > X1))).
% 0.80/0.40 thf(func_def_184, type, sK123: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X1 > (X1 > $o) > X1))).
% 0.80/0.40 thf(func_def_185, type, sK124: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_186, type, sK125: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.80/0.40 thf(func_def_187, type, sK126: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_188, type, sK127: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.80/0.40 thf(func_def_189, type, sK128: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X0 > X2) > (X0 > tLList446370796tllist @ X1 @ X2) > X0 > (X0 > $o) > (X0 > X0) > (X0 > $o) > X2))).
% 0.80/0.40 thf(func_def_190, type, sK129: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X0 > X2) > (X0 > tLList446370796tllist @ X1 @ X2) > X0 > (X0 > $o) > (X0 > X0) > (X0 > $o) > X2))).
% 0.80/0.40 thf(func_def_191, type, sK130: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_192, type, sK131: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X3) > (X1 > X2) > tLList446370796tllist @ X1 @ X0 > X3))).
% 0.80/0.40 thf(func_def_193, type, sK132: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_194, type, sK133: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_195, type, sK134: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.80/0.40 thf(func_def_196, type, sK135: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_197, type, sK136: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.80/0.40 thf(func_def_198, type, sK137: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_199, type, sK138: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.80/0.40 thf(func_def_200, type, sK139: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_201, type, sK140: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.80/0.40 thf(func_def_202, type, sK141: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_203, type, sK142: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.80/0.40 thf(func_def_204, type, sK143: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_205, type, sK144: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.80/0.40 thf(func_def_206, type, sK145: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_207, type, sK146: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_208, type, sK147: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_209, type, sK148: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_210, type, sK149: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_211, type, sK150: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_212, type, sK151: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_213, type, sK152: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_214, type, sK153: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_215, type, sK154: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_216, type, sK155: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_217, type, sK156: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_218, type, sK157: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_219, type, sK158: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_220, type, sK159: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_221, type, sK160: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_222, type, sK161: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_223, type, sK162: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_224, type, sK163: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_225, type, sK164: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_226, type, sK165: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_227, type, sK166: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_228, type, sK167: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_229, type, sK168: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_230, type, sK169: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_231, type, sK170: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_232, type, sK171: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_233, type, sK172: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_234, type, sK173: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_235, type, sK174: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_236, type, sK175: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_237, type, sK176: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_238, type, sK177: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_239, type, sK178: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_240, type, sK179: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_241, type, sK180: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_242, type, sK181: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_243, type, sK182: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_244, type, sK183: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_245, type, sK184: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_246, type, sK185: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_247, type, sK186: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_248, type, sK187: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_249, type, sK188: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_250, type, sK189: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_251, type, sK190: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_252, type, sK191: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_253, type, sK192: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_254, type, sK193: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_255, type, sK194: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_256, type, sK195: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_257, type, sK196: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_258, type, sK197: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_259, type, sK198: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_260, type, sK199: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_261, type, sK200: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_262, type, sK201: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_263, type, sK202: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_264, type, sK203: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_265, type, sK204: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_266, type, sK205: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_267, type, sK206: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_268, type, sK207: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.80/0.40 thf(func_def_269, type, sK208: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((tLList446370796tllist @ X2 @ X3 > tLList446370796tllist @ X1 @ X0 > $o) > (X3 > X0 > $o) > (X2 > X1 > $o) > X0))).
% 0.80/0.40 thf(func_def_270, type, sK209: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((tLList446370796tllist @ X2 @ X3 > tLList446370796tllist @ X1 @ X0 > $o) > (X3 > X0 > $o) > (X2 > X1 > $o) > X3))).
% 0.80/0.40 thf(func_def_271, type, sK210: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_272, type, sK211: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X1))).
% 0.80/0.40 thf(func_def_273, type, sK212: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_274, type, sK213: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_275, type, sK214: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_276, type, sK215: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_277, type, sK216: !>[X0: $tType]:(((X0 > X0) > X0))).
% 0.80/0.40 thf(func_def_278, type, sK217: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_279, type, sK218: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_280, type, sK219: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_281, type, sK220: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_282, type, sK221: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_283, type, sK222: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_284, type, sK223: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_285, type, sK224: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_286, type, sK225: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_287, type, sK226: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > X0))).
% 0.80/0.40 thf(func_def_288, type, sK227: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X1))).
% 0.80/0.40 thf(func_def_289, type, sK228: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X1))).
% 0.80/0.40 thf(func_def_290, type, sK229: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_291, type, sK230: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X0))).
% 0.80/0.40 thf(func_def_292, type, sK231: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X1))).
% 0.80/0.40 thf(func_def_293, type, sK232: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X1))).
% 0.80/0.40 thf(func_def_294, type, sK233: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X0 @ X1 > X1 > $o) > X1))).
% 0.80/0.40 thf(func_def_295, type, sK234: !>[X0: $tType, X1: $tType]:((X0 > X0))).
% 0.80/0.40 thf(func_def_296, type, sK235: !>[X0: $tType, X1: $tType]:((X1 > X1))).
% 0.80/0.40 thf(func_def_298, type, sK237: !>[X0: $tType]:(((X0 > X0) > X0))).
% 0.80/0.40 thf(f9,axiom,(
% 0.80/0.40 ! [X0 : $tType,X1 : $tType] : (tLList1968894004s_TNil @ X1 @ X0 = (^[X2 : tLList446370796tllist @ X1 @ X0] : (? [X3 : X0] : (X2 = ((tLList57907754e_TNil @ X0 @ X1 @ X3))))))),
% 0.80/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_is__TNil__def)).
% 0.80/0.40 thf(f11,axiom,(
% 0.80/0.40 ! [X0 : $tType] : (id @ X0 = (^[X1 : X0] : (X1)))),
% 0.80/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_id__apply)).
% 0.80/0.40 thf(f12,axiom,(
% 0.80/0.40 ! [X0 : $tType,X1 : $tType,X2 : $tType] : (tLList200813139tllist @ X2 @ X1 @ X0 = (^[X3 : (X2 > X1), X4 : (X0 > tLList446370796tllist @ X0 @ X2 > X1), X5 : tLList446370796tllist @ X0 @ X2] : ((if @ X1 @ (tLList1968894004s_TNil @ X0 @ X2 @ X5) @ (X3 @ (tLList2110128105rminal @ X0 @ X2 @ X5)) @ (X4 @ (tLList_Mirabelle_thd @ X0 @ X2 @ X5) @ (tLList_Mirabelle_ttl @ X0 @ X2 @ X5))))))),
% 0.80/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_tllist_Ocase__eq__if)).
% 0.80/0.40 thf(f272,axiom,(
% 0.80/0.40 ! [X0 : $o] : ((X0 = $false) | (X0 = $true))),
% 0.80/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_T)).
% 0.80/0.40 thf(f274,axiom,(
% 0.80/0.40 ! [X0 : $tType,X1 : X0,X2 : X0] : (((if @ X0 @ $true @ X1 @ X2)) = X1)),
% 0.80/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_1_1_T)).
% 0.80/0.40 thf(f275,axiom,(
% 0.80/0.40 (x = ((tLList57907754e_TNil @ b @ a @ x1)))),
% 0.80/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.80/0.40 thf(f276,conjecture,(
% 0.80/0.40 (~(tLList1968894004s_TNil @ a @ b @ x) => (((tLList1825092077minal0 @ (tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_ttl @ a @ b @ x))) = ((tLList2110128105rminal @ a @ b @ x)))) & ((tLList1968894004s_TNil @ a @ b @ x) => (((tLList200813139tllist @ b @ b @ a @ id @ b @ undefined @ (a > tLList446370796tllist @ a @ b > b) @ x)) = ((tLList2110128105rminal @ a @ b @ x))))),
% 0.80/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
% 0.80/0.40 thf(f277,negated_conjecture,(
% 0.80/0.40 ~((~(tLList1968894004s_TNil @ a @ b @ x) => (((tLList1825092077minal0 @ (tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_ttl @ a @ b @ x))) = ((tLList2110128105rminal @ a @ b @ x)))) & ((tLList1968894004s_TNil @ a @ b @ x) => (((tLList200813139tllist @ b @ b @ a @ id @ b @ undefined @ (a > tLList446370796tllist @ a @ b > b) @ x)) = ((tLList2110128105rminal @ a @ b @ x)))))),
% 0.80/0.40 inference(negated_conjecture,[status(cth)],[f276])).
% 0.80/0.40 thf(f287,plain,(
% 0.80/0.40 ! [X0 : $tType,X1 : $tType] : (tLList1968894004s_TNil @ X1 @ X0 = (^[Y0 : tLList446370796tllist @ X1 @ X0]: (?? @ X0 @ (^[Y1 : X0]: ((tLList57907754e_TNil @ X0 @ X1 @ Y1) = Y0)))))),
% 0.80/0.40 inference(fool_elimination,[],[f9])).
% 0.80/0.40 thf(f290,plain,(
% 0.80/0.40 ! [X0 : $tType] : (id @ X0 = (^[Y0 : X0]: (Y0)))),
% 0.80/0.40 inference(fool_elimination,[],[f11])).
% 0.80/0.40 thf(f291,plain,(
% 0.80/0.40 ! [X0 : $tType,X1 : $tType,X2 : $tType] : (tLList200813139tllist @ X2 @ X1 @ X0 = (^[Y0 : X2 > X1]: ((^[Y1 : X0 > tLList446370796tllist @ X0 @ X2 > X1]: ((^[Y2 : tLList446370796tllist @ X0 @ X2]: (if @ X1 @ (tLList1968894004s_TNil @ X0 @ X2 @ Y2) @ (Y0 @ (tLList2110128105rminal @ X0 @ X2 @ Y2)) @ (Y1 @ (tLList_Mirabelle_thd @ X0 @ X2 @ Y2) @ (tLList_Mirabelle_ttl @ X0 @ X2 @ Y2)))))))))),
% 0.80/0.40 inference(fool_elimination,[],[f12])).
% 0.80/0.40 thf(f698,plain,(
% 0.80/0.40 ! [X0 : $o] : (($false = X0) | ($true = X0))),
% 0.80/0.40 inference(fool_elimination,[],[f272])).
% 0.80/0.40 thf(f701,plain,(
% 0.80/0.40 ! [X0 : $tType,X1 : X0,X2 : X0] : (((if @ X0 @ $true @ X1 @ X2)) = X1)),
% 0.80/0.40 inference(rectify,[],[f274])).
% 0.80/0.40 thf(f702,plain,(
% 0.80/0.40 ! [X0 : $tType,X1 : X0,X2 : X0] : (((if @ X0 @ $true @ X1 @ X2)) = X1)),
% 0.80/0.40 inference(fool_elimination,[],[f701])).
% 0.80/0.40 thf(f703,plain,(
% 0.80/0.40 ~((~(tLList1968894004s_TNil @ a @ b @ x) => (((tLList1825092077minal0 @ (tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_ttl @ a @ b @ x))) = ((tLList2110128105rminal @ a @ b @ x)))) & ((tLList1968894004s_TNil @ a @ b @ x) => (((tLList200813139tllist @ b @ b @ a @ id @ b @ undefined @ (a > tLList446370796tllist @ a @ b > b) @ x)) = ((tLList2110128105rminal @ a @ b @ x)))))),
% 0.80/0.40 inference(rectify,[],[f277])).
% 0.80/0.40 thf(f704,plain,(
% 0.80/0.40 ~((~ (((tLList1968894004s_TNil @ a @ b @ x)) = $true) => (((tLList2110128105rminal @ a @ b @ x)) = ((tLList1825092077minal0 @ (tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_ttl @ a @ b @ x))))) & ((((tLList1968894004s_TNil @ a @ b @ x)) = $true) => (((tLList200813139tllist @ b @ b @ a @ id @ b @ undefined @ (a > tLList446370796tllist @ a @ b > b) @ x)) = ((tLList2110128105rminal @ a @ b @ x)))))),
% 0.80/0.40 inference(fool_elimination,[],[f703])).
% 0.80/0.40 thf(f748,plain,(
% 0.80/0.40 ~(((((tLList1968894004s_TNil @ a @ b @ x)) != $true) => (((tLList2110128105rminal @ a @ b @ x)) = ((tLList1825092077minal0 @ (tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_ttl @ a @ b @ x))))) & ((((tLList1968894004s_TNil @ a @ b @ x)) = $true) => (((tLList200813139tllist @ b @ b @ a @ id @ b @ undefined @ (a > tLList446370796tllist @ a @ b > b) @ x)) = ((tLList2110128105rminal @ a @ b @ x)))))),
% 0.80/0.40 inference(flattening,[],[f704])).
% 0.80/0.40 thf(f947,plain,(
% 0.80/0.40 ((((tLList2110128105rminal @ a @ b @ x)) != ((tLList1825092077minal0 @ (tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_ttl @ a @ b @ x)))) & (((tLList1968894004s_TNil @ a @ b @ x)) != $true)) | ((((tLList200813139tllist @ b @ b @ a @ id @ b @ undefined @ (a > tLList446370796tllist @ a @ b > b) @ x)) != ((tLList2110128105rminal @ a @ b @ x))) & (((tLList1968894004s_TNil @ a @ b @ x)) = $true))),
% 0.80/0.40 inference(ennf_transformation,[],[f748])).
% 0.80/0.40 thf(f1060,plain,(
% 0.80/0.40 ( ! [X1 : $tType,X0 : $tType] : ((tLList1968894004s_TNil @ X1 @ X0 = (^[Y0 : tLList446370796tllist @ X1 @ X0]: (?? @ X0 @ (^[Y1 : X0]: ((tLList57907754e_TNil @ X0 @ X1 @ Y1) = Y0)))))) )),
% 0.80/0.40 inference(cnf_transformation,[],[f287])).
% 0.80/0.40 thf(f1066,plain,(
% 0.80/0.40 ( ! [X0 : $tType] : ((id @ X0 = (^[Y0 : X0]: (Y0)))) )),
% 0.80/0.40 inference(cnf_transformation,[],[f290])).
% 0.80/0.40 thf(f1067,plain,(
% 0.80/0.40 ( ! [X1 : $tType,X0 : $tType,X2 : $tType] : ((tLList200813139tllist @ X2 @ X1 @ X0 = (^[Y0 : X2 > X1]: ((^[Y1 : X0 > tLList446370796tllist @ X0 @ X2 > X1]: ((^[Y2 : tLList446370796tllist @ X0 @ X2]: (if @ X1 @ (tLList1968894004s_TNil @ X0 @ X2 @ Y2) @ (Y0 @ (tLList2110128105rminal @ X0 @ X2 @ Y2)) @ (Y1 @ (tLList_Mirabelle_thd @ X0 @ X2 @ Y2) @ (tLList_Mirabelle_ttl @ X0 @ X2 @ Y2)))))))))) )),
% 0.80/0.40 inference(cnf_transformation,[],[f291])).
% 0.80/0.40 thf(f1434,plain,(
% 0.80/0.40 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.80/0.40 inference(cnf_transformation,[],[f698])).
% 0.80/0.40 thf(f1436,plain,(
% 0.80/0.40 ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((((if @ X0 @ $true @ X1 @ X2)) = X1)) )),
% 0.80/0.40 inference(cnf_transformation,[],[f702])).
% 0.80/0.40 thf(f1437,plain,(
% 0.80/0.40 (x = ((tLList57907754e_TNil @ b @ a @ x1)))),
% 0.80/0.40 inference(cnf_transformation,[],[f275])).
% 0.80/0.40 thf(f1439,plain,(
% 0.80/0.40 (((tLList1968894004s_TNil @ a @ b @ x)) != $true) | (((tLList200813139tllist @ b @ b @ a @ id @ b @ undefined @ (a > tLList446370796tllist @ a @ b > b) @ x)) != ((tLList2110128105rminal @ a @ b @ x)))),
% 0.80/0.40 inference(cnf_transformation,[],[f947])).
% 0.80/0.40 thf(f1444,plain,(
% 0.80/0.40 ( ! [X1 : $tType,X0 : $tType,X2 : $tType] : ((tLList200813139tllist @ X2 @ X1 @ X0 = (^[Y0 : X2 > X1]: ((^[Y1 : X0 > tLList446370796tllist @ X0 @ X2 > X1]: ((^[Y2 : tLList446370796tllist @ X0 @ X2]: (if @ X1 @ ((^[Y3 : tLList446370796tllist @ X0 @ X2]: (?? @ X2 @ (^[Y4 : X2]: ((tLList57907754e_TNil @ X2 @ X0 @ Y4) = Y3)))) @ Y2) @ (Y0 @ (tLList2110128105rminal @ X0 @ X2 @ Y2)) @ (Y1 @ (tLList_Mirabelle_thd @ X0 @ X2 @ Y2) @ (tLList_Mirabelle_ttl @ X0 @ X2 @ Y2)))))))))) )),
% 0.80/0.40 inference(definition_unfolding,[],[f1067,f1060])).
% 0.80/0.40 thf(f1524,plain,(
% 0.80/0.40 ($true != (((^[Y0 : tLList446370796tllist @ a @ b]: (?? @ b @ (^[Y1 : b]: ((tLList57907754e_TNil @ b @ a @ Y1) = Y0)))) @ x))) | (((tLList2110128105rminal @ a @ b @ x)) != (((^[Y0 : b > b]: ((^[Y1 : a > tLList446370796tllist @ a @ b > b]: ((^[Y2 : tLList446370796tllist @ a @ b]: (if @ b @ ((^[Y3 : tLList446370796tllist @ a @ b]: (?? @ b @ (^[Y4 : b]: ((tLList57907754e_TNil @ b @ a @ Y4) = Y3)))) @ Y2) @ (Y0 @ (tLList2110128105rminal @ a @ b @ Y2)) @ (Y1 @ (tLList_Mirabelle_thd @ a @ b @ Y2) @ (tLList_Mirabelle_ttl @ a @ b @ Y2)))))))) @ (^[Y0 : b]: (Y0)) @ undefined @ (a > tLList446370796tllist @ a @ b > b) @ x)))),
% 0.80/0.40 inference(definition_unfolding,[],[f1439,f1060,f1444,f1066])).
% 0.80/0.40 thf(f1560,plain,(
% 0.80/0.40 ($true != ((?? @ b @ (^[Y0 : b]: ((tLList57907754e_TNil @ b @ a @ Y0) = x))))) | (((tLList2110128105rminal @ a @ b @ x)) != ((if @ b @ (?? @ b @ (^[Y0 : b]: ((tLList57907754e_TNil @ b @ a @ Y0) = x))) @ (tLList2110128105rminal @ a @ b @ x) @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x)))))),
% 0.80/0.40 inference(beta-eta_normalization,[],[f1524])).
% 0.80/0.40 thf(f1561,plain,(
% 0.80/0.40 ( ! [X1 : b] : (($false = (((^[Y0 : b]: ((tLList57907754e_TNil @ b @ a @ Y0) = x)) @ X1))) | (((tLList2110128105rminal @ a @ b @ x)) != ((if @ b @ (?? @ b @ (^[Y0 : b]: ((tLList57907754e_TNil @ b @ a @ Y0) = x))) @ (tLList2110128105rminal @ a @ b @ x) @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x)))))) )),
% 0.80/0.40 inference(pi_proxy_clausification,[],[f1560])).
% 0.80/0.40 thf(f1562,plain,(
% 0.80/0.40 ( ! [X1 : b] : (($false = (((tLList57907754e_TNil @ b @ a @ X1) = x))) | (((tLList2110128105rminal @ a @ b @ x)) != ((if @ b @ (?? @ b @ (^[Y0 : b]: ((tLList57907754e_TNil @ b @ a @ Y0) = x))) @ (tLList2110128105rminal @ a @ b @ x) @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x)))))) )),
% 0.80/0.40 inference(beta-eta_normalization,[],[f1561])).
% 0.80/0.40 thf(f1563,plain,(
% 0.80/0.40 ( ! [X1 : b] : ((x != ((tLList57907754e_TNil @ b @ a @ X1))) | (((tLList2110128105rminal @ a @ b @ x)) != ((if @ b @ (?? @ b @ (^[Y0 : b]: ((tLList57907754e_TNil @ b @ a @ Y0) = x))) @ (tLList2110128105rminal @ a @ b @ x) @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x)))))) )),
% 0.80/0.40 inference(equality_proxy_clausification,[],[f1562])).
% 0.80/0.40 thf(f3190,definition,(
% 0.80/0.40 spl236_1 <=> (((tLList2110128105rminal @ a @ b @ x)) = ((if @ b @ (?? @ b @ (^[Y0 : b]: ((tLList57907754e_TNil @ b @ a @ Y0) = x))) @ (tLList2110128105rminal @ a @ b @ x) @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x)))))),
% 0.80/0.40 introduced(definition,[new_symbols(definition,[spl236_1])],[avatar_definition])).
% 0.80/0.40 thf(f3192,plain,(
% 0.80/0.40 (((tLList2110128105rminal @ a @ b @ x)) != ((if @ b @ (?? @ b @ (^[Y0 : b]: ((tLList57907754e_TNil @ b @ a @ Y0) = x))) @ (tLList2110128105rminal @ a @ b @ x) @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x))))) | spl236_1),
% 0.80/0.40 inference(avatar_component_clause,[],[f3190])).
% 0.80/0.40 thf(f3194,definition,(
% 0.80/0.40 spl236_2 <=> ! [X1 : b] : (x != ((tLList57907754e_TNil @ b @ a @ X1)))),
% 0.80/0.40 introduced(definition,[new_symbols(definition,[spl236_2])],[avatar_definition])).
% 0.80/0.40 thf(f3195,plain,(
% 0.80/0.40 ( ! [X1 : b] : ((x != ((tLList57907754e_TNil @ b @ a @ X1)))) ) | ~spl236_2),
% 0.80/0.40 inference(avatar_component_clause,[],[f3194])).
% 0.80/0.40 thf(f3196,plain,(
% 0.80/0.40 ~spl236_1 | spl236_2),
% 0.80/0.40 inference(avatar_split_clause,[],[f1563,f3194,f3190])).
% 0.80/0.40 thf(f3214,plain,(
% 0.80/0.40 (((tLList2110128105rminal @ a @ b @ x)) != ((if @ b @ $true @ (tLList2110128105rminal @ a @ b @ x) @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x))))) | ($false = ((?? @ b @ (^[Y0 : b]: ((tLList57907754e_TNil @ b @ a @ Y0) = x))))) | spl236_1),
% 0.80/0.40 inference(constrained_superposition,[],[f3192,f1434])).
% 0.80/0.40 thf(f3215,plain,(
% 0.80/0.40 ( ! [X1 : b] : ((((tLList2110128105rminal @ a @ b @ x)) != ((if @ b @ $true @ (tLList2110128105rminal @ a @ b @ x) @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x))))) | ($false = (((^[Y0 : b]: ((tLList57907754e_TNil @ b @ a @ Y0) = x)) @ X1)))) ) | spl236_1),
% 0.80/0.40 inference(pi_proxy_clausification,[],[f3214])).
% 0.80/0.40 thf(f3216,plain,(
% 0.80/0.40 ( ! [X1 : b] : ((((tLList2110128105rminal @ a @ b @ x)) != ((if @ b @ $true @ (tLList2110128105rminal @ a @ b @ x) @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x))))) | ($false = (((tLList57907754e_TNil @ b @ a @ X1) = x)))) ) | spl236_1),
% 0.80/0.40 inference(beta-eta_normalization,[],[f3215])).
% 0.80/0.40 thf(f3217,plain,(
% 0.80/0.40 ( ! [X1 : b] : ((((tLList2110128105rminal @ a @ b @ x)) != ((if @ b @ $true @ (tLList2110128105rminal @ a @ b @ x) @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x))))) | (x != ((tLList57907754e_TNil @ b @ a @ X1)))) ) | spl236_1),
% 0.80/0.40 inference(equality_proxy_clausification,[],[f3216])).
% 0.80/0.40 thf(f3219,definition,(
% 0.80/0.40 spl236_5 <=> (((tLList2110128105rminal @ a @ b @ x)) = ((if @ b @ $true @ (tLList2110128105rminal @ a @ b @ x) @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x)))))),
% 0.80/0.40 introduced(definition,[new_symbols(definition,[spl236_5])],[avatar_definition])).
% 0.80/0.40 thf(f3221,plain,(
% 0.80/0.40 (((tLList2110128105rminal @ a @ b @ x)) != ((if @ b @ $true @ (tLList2110128105rminal @ a @ b @ x) @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x))))) | spl236_5),
% 0.80/0.40 inference(avatar_component_clause,[],[f3219])).
% 0.80/0.40 thf(f3222,plain,(
% 0.80/0.40 spl236_2 | ~spl236_5 | spl236_1),
% 0.80/0.40 inference(avatar_split_clause,[],[f3217,f3190,f3219,f3194])).
% 0.80/0.40 thf(f3249,plain,(
% 0.80/0.40 $false | spl236_5),
% 0.80/0.40 inference(backward_subsumption_resolution,[],[f3221,f1436])).
% 0.80/0.40 thf(f3257,plain,(
% 0.80/0.40 spl236_5),
% 0.80/0.40 inference(avatar_contradiction_clause,[],[f3249])).
% 0.80/0.40 thf(f3258,plain,(
% 0.80/0.40 $false | ~spl236_2),
% 0.80/0.40 inference(backward_subsumption_resolution,[],[f1437,f3195])).
% 0.80/0.40 thf(f3259,plain,(
% 0.80/0.40 ~spl236_2),
% 0.80/0.40 inference(avatar_contradiction_clause,[],[f3258])).
% 0.80/0.40 cnf(s1, plain, ~spl236_1 | spl236_2, inference(sat_conversion,[],[f3196])).
% 0.80/0.40 cnf(s4, plain, spl236_1 | spl236_2 | ~spl236_5, inference(sat_conversion,[],[f3222])).
% 0.80/0.40 cnf(s7, plain, spl236_5, inference(sat_conversion,[],[f3257])).
% 0.80/0.40 cnf(s8, plain, ~spl236_2, inference(sat_conversion,[],[f3259])).
% 0.80/0.40 cnf(s9, plain, spl236_1, inference(rat,[],[s4,s7,s8])).
% 0.80/0.40 cnf(s11, plain, $false, inference(rat,[],[s1,s8,s9])).
% 0.80/0.40 thf(f3260,plain,(
% 0.80/0.40 $false),
% 0.80/0.40 inference(avatar_sat_refutation,[],[s11])).
% 0.80/0.40 % SZS output end Proof for theBenchmark
% 0.80/0.40 % (694740)------------------------------
% 0.80/0.40 % (694740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.41 % (694740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.41 % (694740)CaDiCaL version: 2.1.3
% 0.80/0.41 % (694740)Termination reason: Refutation
% 0.80/0.41 % (694740)Time elapsed: 0.094 s
% 0.80/0.41 % (694740)Peak memory usage: 15 MB
% 0.80/0.41 % (694740)Instructions burned: 204 (million)
% 0.80/0.41 % (694734)Success in time 0.149 s
% 0.80/0.41 % Vampire exiting
%------------------------------------------------------------------------------