%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP100^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 08:10:41 AM UTC 2026
% Result : Theorem 2.18s 0.62s
% Output : Refutation 2.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP100^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n020.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 19:54:20 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 2.18/0.62 % (1511109)Will run a generic schedule for satisfiability detection.
% 2.18/0.62 % (1511118)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1326029010:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.18/0.62 % (1511115)% WARNING: option uhcvi not known.
% 2.18/0.62 % (1511114)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1446647986_2999 on theBenchmark for (2999ds/0Mi)
% 2.18/0.62 % (1511115)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1114447037:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.18/0.62 % (1511116)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2185692457:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.18/0.62 % (1511117)dis+10_1_sil=32000:sp=arity:random_seed=2330706536:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.18/0.62 % (1511119)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4058314520:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.18/0.62 % (1511120)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=756830492:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.18/0.62 % (1511118)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.18/0.62 % (1511115)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.18/0.62 % (1511118)Instruction limit reached!
% 2.18/0.62 % (1511118)------------------------------
% 2.18/0.62 % (1511118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.62 % (1511118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.62 % (1511118)CaDiCaL version: 2.1.3
% 2.18/0.62 % (1511118)Termination reason: Instruction limit
% 2.18/0.62 % (1511118)Termination phase: Property scanning
% 2.18/0.62 % (1511118)Time elapsed: 0.026 s
% 2.18/0.62 % (1511118)Peak memory usage: 11 MB
% 2.18/0.62 % (1511118)Instructions burned: 117 (million)
% 2.18/0.62 % (1511128)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3840026179:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.18/0.62 % (1511117)Instruction limit reached!
% 2.18/0.62 % (1511117)------------------------------
% 2.18/0.62 % (1511117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.62 % (1511117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.62 % (1511117)CaDiCaL version: 2.1.3
% 2.18/0.62 % (1511117)Termination reason: Instruction limit
% 2.18/0.62 % (1511117)Termination phase: Property scanning
% 2.18/0.62 % (1511117)Time elapsed: 0.045 s
% 2.18/0.62 % (1511117)Peak memory usage: 11 MB
% 2.18/0.62 % (1511117)Instructions burned: 103 (million)
% 2.18/0.62 % Exception at run slice level
% 2.18/0.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.18/0.62 % (1511115)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.18/0.62 % (1511119)Instruction limit reached!
% 2.18/0.62 % (1511119)------------------------------
% 2.18/0.62 % (1511119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.62 % (1511119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.62 % (1511119)CaDiCaL version: 2.1.3
% 2.18/0.62 % (1511119)Termination reason: Instruction limit
% 2.18/0.62 % (1511119)Termination phase: Saturation
% 2.18/0.62 % (1511119)Time elapsed: 0.057 s
% 2.18/0.62 % (1511119)Peak memory usage: 12 MB
% 2.18/0.62 % (1511119)Instructions burned: 131 (million)
% 2.18/0.62 % Exception at run slice level
% 2.18/0.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.18/0.62 % (1511130)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1974817761:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.18/0.62 % (1511133)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1241080926:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.18/0.62 % (1511131)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=1907609764:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.18/0.62 % (1511120)Instruction limit reached!
% 2.18/0.62 % (1511120)------------------------------
% 2.18/0.62 % (1511120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.62 % (1511120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.62 % (1511120)CaDiCaL version: 2.1.3
% 2.18/0.62 % (1511120)Termination reason: Instruction limit
% 2.18/0.62 % (1511120)Termination phase: Saturation
% 2.18/0.62 % (1511120)Time elapsed: 0.071 s
% 2.18/0.62 % (1511120)Peak memory usage: 13 MB
% 2.18/0.62 % (1511120)Instructions burned: 160 (million)
% 2.18/0.62 % (1511132)ott-21_1_sil=16000:fs=off:random_seed=4108988741:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.18/0.62 % (1511137)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2745696806:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.18/0.62 % (1511131)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.18/0.62 % (1511130)Instruction limit reached!
% 2.18/0.62 % (1511130)------------------------------
% 2.18/0.62 % (1511130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.62 % (1511130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.62 % (1511130)CaDiCaL version: 2.1.3
% 2.18/0.62 % (1511130)Termination reason: Instruction limit
% 2.18/0.62 % (1511130)Termination phase: Saturation
% 2.18/0.62 % (1511130)Time elapsed: 0.058 s
% 2.18/0.62 % (1511130)Peak memory usage: 13 MB
% 2.18/0.62 % (1511130)Instructions burned: 133 (million)
% 2.18/0.62 % (1511131)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.18/0.62 % (1511140)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=743514479:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 2.18/0.62 % Exception at run slice level
% 2.18/0.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.18/0.62 % (1511132)Instruction limit reached!
% 2.18/0.62 % (1511132)------------------------------
% 2.18/0.62 % (1511132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.62 % (1511132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.62 % (1511132)CaDiCaL version: 2.1.3
% 2.18/0.62 % (1511132)Termination reason: Instruction limit
% 2.18/0.62 % (1511132)Termination phase: Saturation
% 2.18/0.62 % (1511132)Time elapsed: 0.079 s
% 2.18/0.62 % (1511132)Peak memory usage: 14 MB
% 2.18/0.62 % (1511132)Instructions burned: 181 (million)
% 2.18/0.62 % (1511142)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2236869863:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 2.18/0.62 % (1511143)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=1797325509:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 2.18/0.62 % (1511133)Instruction limit reached!
% 2.18/0.62 % (1511133)------------------------------
% 2.18/0.62 % (1511133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.62 % (1511133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.62 % (1511133)CaDiCaL version: 2.1.3
% 2.18/0.62 % (1511133)Termination reason: Instruction limit
% 2.18/0.62 % (1511133)Termination phase: Saturation
% 2.18/0.62 % (1511133)Time elapsed: 0.126 s
% 2.18/0.62 % (1511133)Peak memory usage: 15 MB
% 2.18/0.62 % (1511133)Instructions burned: 479 (million)
% 2.18/0.62 % (1511143)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.18/0.62 % (1511146)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2569352902:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 2.18/0.62 % (1511146)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.18/0.62 % Exception at run slice level
% 2.18/0.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.18/0.62 % (1511148)fmb+10_1_sil=64000:random_seed=4070529504:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 2.18/0.62 % (1511148)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.18/0.62 % Exception at run slice level
% 2.18/0.62 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.18/0.62 % (1511150)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2290073646:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 2.18/0.62 % (1511143) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1511109-1511143"...
% 2.18/0.62 % (1511143)...printing done.
% 2.18/0.62 % (1511143)Refutation found. Thanks to Tanya!
% 2.18/0.62 % SZS status Theorem for theBenchmark
% 2.18/0.62 % SZS output start Proof for theBenchmark
% 2.18/0.62 thf(type_def_5, type, list: $tType > $tType).
% 2.18/0.62 thf(type_def_6, type, set: $tType > $tType).
% 2.18/0.62 thf(type_def_7, type, nat: $tType).
% 2.18/0.62 thf(type_def_8, type, a: $tType).
% 2.18/0.62 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 2.18/0.62 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 2.18/0.62 thf(func_def_1, type, ord: !>[X0: $tType]:($o)).
% 2.18/0.62 thf(func_def_2, type, order: !>[X0: $tType]:($o)).
% 2.18/0.62 thf(func_def_3, type, linorder: !>[X0: $tType]:($o)).
% 2.18/0.62 thf(func_def_4, type, preorder: !>[X0: $tType]:($o)).
% 2.18/0.62 thf(func_def_5, type, bNF_Greatest_Shift: !>[X0: $tType]:((set @ list @ X0 > X0 > set @ list @ X0))).
% 2.18/0.62 thf(func_def_6, type, bNF_Greatest_Succ: !>[X0: $tType]:((set @ list @ X0 > list @ X0 > set @ X0))).
% 2.18/0.62 thf(func_def_7, type, bNF_Greatest_shift: !>[X0: $tType, X1: $tType]:(((list @ X0 > X1) > X0 > list @ X0 > X1))).
% 2.18/0.62 thf(func_def_8, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 2.18/0.62 thf(func_def_9, type, list_asc: !>[X0: $tType]:((list @ X0 > $o))).
% 2.18/0.62 thf(func_def_10, type, list_ord: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_11, type, list_strict_asc: !>[X0: $tType]:((list @ X0 > $o))).
% 2.18/0.62 thf(func_def_12, type, map2: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > list @ X0 > list @ X1 > list @ X2))).
% 2.18/0.62 thf(func_def_13, type, listIn521021761append: !>[X0: $tType]:((list @ X0 > (nat > X0) > nat > X0))).
% 2.18/0.62 thf(func_def_14, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_15, type, arg_min_list: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > X0))).
% 2.18/0.62 thf(func_def_16, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 2.18/0.62 thf(func_def_17, type, butlast: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_18, type, concat: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_19, type, distinct_adj: !>[X0: $tType]:((list @ X0 > $o))).
% 2.18/0.62 thf(func_def_20, type, foldr: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > list @ X0 > X1 > X1))).
% 2.18/0.62 thf(func_def_21, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_22, type, last: !>[X0: $tType]:((list @ X0 > X0))).
% 2.18/0.62 thf(func_def_23, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_24, type, nil: !>[X0: $tType]:(list @ X0)).
% 2.18/0.62 thf(func_def_25, type, case_list: !>[X0: $tType, X1: $tType]:((X0 > (X1 > list @ X1 > X0) > list @ X1 > X0))).
% 2.18/0.62 thf(func_def_26, type, hd: !>[X0: $tType]:((list @ X0 > X0))).
% 2.18/0.62 thf(func_def_27, type, tl: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_28, type, list_ex1: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_29, type, listrelp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > $o))).
% 2.18/0.62 thf(func_def_30, type, map_tailrec_rev: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1 > list @ X1))).
% 2.18/0.62 thf(func_def_31, type, maps: !>[X0: $tType, X1: $tType]:(((X0 > list @ X1) > list @ X0 > list @ X1))).
% 2.18/0.62 thf(func_def_32, type, member: !>[X0: $tType]:((list @ X0 > X0 > $o))).
% 2.18/0.62 thf(func_def_33, type, lexordp_eq: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_34, type, ord_lexordp: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_35, type, ord_lexordp_eq: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_36, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 2.18/0.62 thf(func_def_37, type, remdups_adj: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_38, type, rotate1: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_39, type, shuffles: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0))).
% 2.18/0.62 thf(func_def_40, type, splice: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_41, type, subseqs: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 2.18/0.62 thf(func_def_42, type, successively: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_43, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 2.18/0.62 thf(func_def_44, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.18/0.62 thf(func_def_45, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 2.18/0.62 thf(func_def_46, type, member2: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 2.18/0.62 thf(func_def_47, type, f: (nat > a)).
% 2.18/0.62 thf(func_def_48, type, x: a).
% 2.18/0.62 thf(func_def_49, type, xs: list @ a).
% 2.18/0.62 thf(func_def_51, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.18/0.62 thf(func_def_52, type, vAND: ($o > $o > $o)).
% 2.18/0.62 thf(func_def_55, type, vNOT: ($o > $o)).
% 2.18/0.62 thf(func_def_56, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.18/0.62 thf(func_def_57, type, db0: !>[X0: $tType]:(X0)).
% 2.18/0.62 thf(func_def_58, type, db1: !>[X0: $tType]:(X0)).
% 2.18/0.62 thf(func_def_59, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.18/0.62 thf(func_def_60, type, vOR: ($o > $o > $o)).
% 2.18/0.62 thf(func_def_61, type, db2: !>[X0: $tType]:(X0)).
% 2.18/0.62 thf(func_def_62, type, db5: !>[X0: $tType]:(X0)).
% 2.18/0.62 thf(func_def_63, type, db3: !>[X0: $tType]:(X0)).
% 2.18/0.62 thf(func_def_64, type, db4: !>[X0: $tType]:(X0)).
% 2.18/0.62 thf(func_def_65, type, db6: !>[X0: $tType]:(X0)).
% 2.18/0.62 thf(func_def_66, type, vIMP: ($o > $o > $o)).
% 2.18/0.62 thf(func_def_67, type, sP0: !>[X0: $tType]:(((list @ X0 > $o) > $o))).
% 2.18/0.62 thf(func_def_68, type, sP1: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > $o))).
% 2.18/0.62 thf(func_def_69, type, sP2: !>[X0: $tType]:(((list @ X0 > $o) > $o))).
% 2.18/0.62 thf(func_def_70, type, sP3: !>[X0: $tType]:(((list @ X0 > $o) > $o))).
% 2.18/0.62 thf(func_def_71, type, sP4: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_72, type, sP5: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (list @ X1 > list @ X0 > $o) > $o))).
% 2.18/0.62 thf(func_def_73, type, sP6: !>[X0: $tType, X1: $tType]:((list @ X0 > X1 > X0 > (X1 > X0 > $o) > list @ X1 > $o))).
% 2.18/0.62 thf(func_def_74, type, sP7: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_75, type, sP8: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0 > $o))).
% 2.18/0.62 thf(func_def_76, type, sP9: !>[X0: $tType]:((list @ X0 > X0 > X0 > (X0 > X0 > $o) > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_77, type, sP10: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > $o))).
% 2.18/0.62 thf(func_def_78, type, sP11: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > $o))).
% 2.18/0.62 thf(func_def_79, type, sP12: !>[X0: $tType]:((list @ X0 > X0 > $o))).
% 2.18/0.62 thf(func_def_80, type, sP13: !>[X0: $tType]:((list @ X0 > X0 > X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_81, type, sP14: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_82, type, sP15: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > $o))).
% 2.18/0.62 thf(func_def_83, type, sP16: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_84, type, sP17: !>[X0: $tType]:(((list @ X0 > $o) > $o))).
% 2.18/0.62 thf(func_def_85, type, sP18: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_86, type, sP19: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > $o > $o))).
% 2.18/0.62 thf(func_def_87, type, sP20: !>[X0: $tType]:((list @ X0 > $o > $o))).
% 2.18/0.62 thf(func_def_88, type, sP21: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > $o))).
% 2.18/0.62 thf(func_def_89, type, sP22: !>[X0: $tType]:((list @ X0 > X0 > $o))).
% 2.18/0.62 thf(func_def_90, type, sP23: !>[X0: $tType]:((list @ X0 > X0 > X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_91, type, sP24: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_92, type, sP25: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_93, type, sP26: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > $o))).
% 2.18/0.62 thf(func_def_94, type, sP27: !>[X0: $tType]:((list @ X0 > X0 > $o))).
% 2.18/0.62 thf(func_def_95, type, sP28: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_96, type, sP29: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_97, type, sP30: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_98, type, sP31: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > $o))).
% 2.18/0.62 thf(func_def_99, type, sP32: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_100, type, sP33: !>[X0: $tType]:((list @ X0 > $o > $o))).
% 2.18/0.62 thf(func_def_101, type, sP34: !>[X0: $tType]:((list @ X0 > $o > $o))).
% 2.18/0.62 thf(func_def_102, type, sP35: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > $o))).
% 2.18/0.62 thf(func_def_103, type, sP36: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_104, type, sP37: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_105, type, sP38: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_106, type, sP39: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_107, type, sP40: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_108, type, sP41: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_109, type, sP42: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_110, type, sP43: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 2.18/0.62 thf(func_def_111, type, sP44: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > $o))).
% 2.18/0.62 thf(func_def_112, type, sP45: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > $o))).
% 2.18/0.62 thf(func_def_113, type, sP46: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X2 > list @ X1 > list @ X0 > $o) > $o))).
% 2.18/0.62 thf(func_def_114, type, sK47: !>[X0: $tType]:((list @ X0 > X0))).
% 2.18/0.62 thf(func_def_115, type, sK48: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_116, type, sK49: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_117, type, sK50: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_118, type, sK51: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 2.18/0.62 thf(func_def_119, type, sK52: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_120, type, sK53: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 2.18/0.62 thf(func_def_121, type, sK54: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 2.18/0.62 thf(func_def_122, type, sK55: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 2.18/0.62 thf(func_def_123, type, sK56: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 2.18/0.62 thf(func_def_124, type, sK57: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 2.18/0.62 thf(func_def_125, type, sK58: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_126, type, sK59: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_127, type, sK60: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_128, type, sK61: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_129, type, sK62: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_130, type, sK63: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_131, type, sK64: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_132, type, sK65: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_133, type, sK66: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_134, type, sK67: !>[X0: $tType]:((list @ X0 > X0))).
% 2.18/0.62 thf(func_def_135, type, sK68: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_136, type, sK69: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_137, type, sK70: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_138, type, sK71: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_139, type, sK72: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_140, type, sK73: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_141, type, sK74: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_142, type, sK75: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_143, type, sK76: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_144, type, sK77: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_145, type, sK78: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_146, type, sK79: !>[X0: $tType]:((list @ X0 > X0))).
% 2.18/0.62 thf(func_def_147, type, sK80: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_148, type, sK81: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 2.18/0.62 thf(func_def_149, type, sK82: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0))).
% 2.18/0.62 thf(func_def_150, type, sK83: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_151, type, sK84: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 2.18/0.62 thf(func_def_152, type, sK85: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 2.18/0.62 thf(func_def_153, type, sK86: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 2.18/0.62 thf(func_def_154, type, sK87: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_155, type, sK88: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_156, type, sK89: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_157, type, sK90: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 2.18/0.62 thf(func_def_158, type, sK91: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_159, type, sK92: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_160, type, sK93: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_161, type, sK94: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 2.18/0.62 thf(func_def_162, type, sK95: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_163, type, sK96: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 2.18/0.62 thf(func_def_164, type, sK97: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 2.18/0.62 thf(func_def_165, type, sK98: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 2.18/0.62 thf(func_def_166, type, sK99: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 2.18/0.62 thf(func_def_167, type, sK100: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 2.18/0.62 thf(func_def_168, type, sK101: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > list @ X1))).
% 2.18/0.62 thf(func_def_169, type, sK102: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 2.18/0.62 thf(func_def_170, type, sK103: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 2.18/0.62 thf(func_def_171, type, sK104: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_172, type, sK105: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_173, type, sK106: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_174, type, sK107: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_175, type, sK108: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 2.18/0.62 thf(func_def_176, type, sK109: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_177, type, sK110: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_178, type, sK111: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 2.18/0.62 thf(func_def_179, type, sK112: !>[X0: $tType]:((list @ X0 > X0))).
% 2.18/0.62 thf(func_def_180, type, sK113: !>[X0: $tType]:((list @ X0 > X0))).
% 2.18/0.62 thf(func_def_181, type, sK114: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_182, type, sK115: !>[X0: $tType]:((list @ X0 > X0))).
% 2.18/0.62 thf(func_def_183, type, sK116: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 2.18/0.62 thf(func_def_184, type, sK117: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_185, type, sK118: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 2.18/0.62 thf(func_def_186, type, sK119: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 2.18/0.62 thf(func_def_187, type, sK120: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 2.18/0.62 thf(func_def_188, type, sK121: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_189, type, sK122: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 2.18/0.62 thf(func_def_190, type, sK123: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 2.18/0.62 thf(func_def_191, type, sK124: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_192, type, sK125: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_193, type, sK126: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_194, type, sK127: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X1 > list @ X0 > (X0 > X1) > X0))).
% 2.18/0.62 thf(func_def_195, type, sK128: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X1 > list @ X0 > (X0 > X1) > list @ X0))).
% 2.18/0.62 thf(func_def_196, type, sK129: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (list @ X1 > list @ X0 > $o) > X1))).
% 2.18/0.62 thf(func_def_197, type, sK130: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (list @ X1 > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_198, type, sK131: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (list @ X1 > list @ X0 > $o) > list @ X1))).
% 2.18/0.62 thf(func_def_199, type, sK132: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (list @ X1 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_200, type, sK133: !>[X0: $tType, X1: $tType]:((list @ X0 > X1 > X0 > (X1 > X0 > $o) > list @ X1 > list @ X0))).
% 2.18/0.62 thf(func_def_201, type, sK134: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > X0))).
% 2.18/0.62 thf(func_def_202, type, sK135: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > X1))).
% 2.18/0.62 thf(func_def_203, type, sK136: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_204, type, sK137: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_205, type, sK138: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 2.18/0.62 thf(func_def_206, type, sK139: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_207, type, sK140: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_208, type, sK141: !>[X0: $tType]:((list @ X0 > X0 > X0 > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_209, type, sK142: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0 > X0))).
% 2.18/0.62 thf(func_def_210, type, sK143: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0 > list @ X0))).
% 2.18/0.62 thf(func_def_211, type, sK144: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_212, type, sK145: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_213, type, sK146: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_214, type, sK147: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_215, type, sK148: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_216, type, sK149: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_217, type, sK150: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_218, type, sK151: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_219, type, sK152: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_220, type, sK153: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_221, type, sK154: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_222, type, sK155: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_223, type, sK156: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.18/0.62 thf(func_def_224, type, sK157: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_225, type, sK158: !>[X0: $tType]:((list @ X0 > X0 > X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_226, type, sK159: !>[X0: $tType]:((list @ X0 > X0 > X0))).
% 2.18/0.62 thf(func_def_227, type, sK160: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.18/0.62 thf(func_def_228, type, sK161: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.18/0.62 thf(func_def_229, type, sK162: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.18/0.62 thf(func_def_230, type, sK163: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_231, type, sK164: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_232, type, sK165: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_233, type, sK166: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_234, type, sK167: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_235, type, sK168: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_236, type, sK169: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_237, type, sK170: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_238, type, sK171: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_239, type, sK172: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_240, type, sK173: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 2.18/0.62 thf(func_def_241, type, sK174: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_242, type, sK175: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_243, type, sK176: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_244, type, sK177: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_245, type, sK178: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_246, type, sK179: !>[X0: $tType]:((list @ X0 > X0))).
% 2.18/0.62 thf(func_def_247, type, sK180: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_248, type, sK181: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_249, type, sK182: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_250, type, sK183: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_251, type, sK184: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_252, type, sK185: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ list @ X0))).
% 2.18/0.62 thf(func_def_253, type, sK186: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_254, type, sK187: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_255, type, sK188: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ list @ X0))).
% 2.18/0.62 thf(func_def_256, type, sK189: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_257, type, sK190: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_258, type, sK191: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_259, type, sK192: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_260, type, sK193: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_261, type, sK194: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > $o > X0))).
% 2.18/0.62 thf(func_def_262, type, sK195: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > $o > X0))).
% 2.18/0.62 thf(func_def_263, type, sK196: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > $o > list @ X0))).
% 2.18/0.62 thf(func_def_264, type, sK197: !>[X0: $tType]:((list @ X0 > X0))).
% 2.18/0.62 thf(func_def_265, type, sK198: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_266, type, sK199: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_267, type, sK200: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_268, type, sK201: !>[X0: $tType]:((list @ X0 > X0))).
% 2.18/0.62 thf(func_def_269, type, sK202: !>[X0: $tType]:(X0)).
% 2.18/0.62 thf(func_def_270, type, sK203: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_271, type, sK204: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_272, type, sK205: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_273, type, sK206: !>[X0: $tType]:(X0)).
% 2.18/0.62 thf(func_def_274, type, sK207: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.18/0.62 thf(func_def_275, type, sK208: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_276, type, sK209: !>[X0: $tType]:((list @ X0 > X0))).
% 2.18/0.62 thf(func_def_277, type, sK210: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_278, type, sK211: !>[X0: $tType]:((list @ X0 > X0 > X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_279, type, sK212: !>[X0: $tType]:((list @ X0 > X0 > X0))).
% 2.18/0.62 thf(func_def_280, type, sK213: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.18/0.62 thf(func_def_281, type, sK214: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.18/0.62 thf(func_def_282, type, sK215: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.18/0.62 thf(func_def_283, type, sK216: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_284, type, sK217: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_285, type, sK218: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_286, type, sK219: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_287, type, sK220: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_288, type, sK221: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_289, type, sK222: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_290, type, sK223: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_291, type, sK224: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_292, type, sK225: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_293, type, sK226: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_294, type, sK227: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.18/0.62 thf(func_def_295, type, sK228: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_296, type, sK229: !>[X0: $tType]:((list @ X0 > X0))).
% 2.18/0.62 thf(func_def_297, type, sK230: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_298, type, sK231: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_299, type, sK232: !>[X0: $tType]:((list @ X0 > X0 > X0))).
% 2.18/0.62 thf(func_def_300, type, sK233: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.18/0.62 thf(func_def_301, type, sK234: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.18/0.62 thf(func_def_302, type, sK235: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_303, type, sK236: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_304, type, sK237: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_305, type, sK238: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_306, type, sK239: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_307, type, sK240: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_308, type, sK241: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_309, type, sK242: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_310, type, sK243: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_311, type, sK244: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_312, type, sK245: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_313, type, sK246: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_314, type, sK247: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_315, type, sK248: !>[X0: $tType]:((list @ X0 > X0))).
% 2.18/0.62 thf(func_def_316, type, sK249: !>[X0: $tType]:(($o > list @ X0 > (X0 > X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_317, type, sK250: !>[X0: $tType]:(($o > list @ X0 > (X0 > X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_318, type, sK251: !>[X0: $tType]:(($o > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_319, type, sK252: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_320, type, sK253: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_321, type, sK254: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_322, type, sK255: !>[X0: $tType]:((list @ X0 > X0))).
% 2.18/0.62 thf(func_def_323, type, sK256: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 2.18/0.62 thf(func_def_324, type, sK257: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_325, type, sK258: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > list @ X0 > X0))).
% 2.18/0.62 thf(func_def_326, type, sK259: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_327, type, sK260: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > list @ X0 > X0))).
% 2.18/0.62 thf(func_def_328, type, sK261: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_329, type, sK262: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 2.18/0.62 thf(func_def_330, type, sK263: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_331, type, sK264: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.18/0.62 thf(func_def_332, type, sK265: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.18/0.62 thf(func_def_333, type, sK266: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_334, type, sK267: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.18/0.62 thf(func_def_335, type, sK268: !>[X0: $tType]:((nat > list @ X0))).
% 2.18/0.62 thf(func_def_336, type, sK269: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_337, type, sK270: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 2.18/0.62 thf(func_def_338, type, sK271: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 2.18/0.62 thf(func_def_339, type, sK272: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_340, type, sK273: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_341, type, sK274: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > X2))).
% 2.18/0.62 thf(func_def_342, type, sK275: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > list @ X2))).
% 2.18/0.62 thf(func_def_343, type, sK276: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > X1))).
% 2.18/0.62 thf(func_def_344, type, sK277: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > list @ X1))).
% 2.18/0.62 thf(func_def_345, type, sK278: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_346, type, sK279: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_347, type, sK280: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X2 > list @ X1 > list @ X0 > $o) > X3))).
% 2.18/0.62 thf(func_def_348, type, sK281: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X2 > list @ X1 > list @ X0 > $o) > list @ X3))).
% 2.18/0.62 thf(func_def_349, type, sK282: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X2 > list @ X1 > list @ X0 > $o) > X2))).
% 2.18/0.62 thf(func_def_350, type, sK283: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X2 > list @ X1 > list @ X0 > $o) > list @ X2))).
% 2.18/0.62 thf(func_def_351, type, sK284: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X2 > list @ X1 > list @ X0 > $o) > X1))).
% 2.18/0.62 thf(func_def_352, type, sK285: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X2 > list @ X1 > list @ X0 > $o) > list @ X1))).
% 2.18/0.62 thf(func_def_353, type, sK286: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X2 > list @ X1 > list @ X0 > $o) > X0))).
% 2.18/0.62 thf(func_def_354, type, sK287: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X2 > list @ X1 > list @ X0 > $o) > list @ X0))).
% 2.18/0.62 thf(func_def_355, type, sK288: !>[X0: $tType]:((list @ X0 > X0))).
% 2.18/0.62 thf(func_def_356, type, sK289: !>[X0: $tType]:((list @ X0 > X0))).
% 2.18/0.62 thf(func_def_357, type, sK290: !>[X0: $tType]:((list @ X0 > list @ list @ X0 > list @ X0 > list @ list @ X0))).
% 2.18/0.62 thf(func_def_358, type, sK291: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_359, type, sK292: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_360, type, sK293: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ list @ X0))).
% 2.18/0.62 thf(func_def_361, type, sK294: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_362, type, sK295: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_363, type, sK296: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_364, type, sK297: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.18/0.62 thf(func_def_365, type, sK298: !>[X0: $tType]:((list @ X0 > X0))).
% 2.18/0.62 thf(func_def_366, type, sK299: nat).
% 2.18/0.62 thf(f85,axiom,(
% 2.18/0.62 ! [X0 : $tType,X1 : list @ X0,X2 : list @ X0,X3 : (nat > X0)] : (((listIn521021761append @ X0 @ X1 @ (listIn521021761append @ X0 @ X2 @ X3))) = ((listIn521021761append @ X0 @ (append @ X0 @ X1 @ X2) @ X3)))),
% 2.18/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_84_i__append__assoc)).
% 2.18/0.62 thf(f104,axiom,(
% 2.18/0.62 ! [X0 : $tType,X1 : X0,X2 : list @ X0] : (((append @ X0 @ (cons @ X0 @ X1 @ nil @ X0) @ X2)) = ((cons @ X0 @ X1 @ X2)))),
% 2.18/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103_append__eq__Cons)).
% 2.18/0.62 thf(f273,conjecture,(
% 2.18/0.62 (((listIn521021761append @ a @ (cons @ a @ x @ xs) @ f)) = ((listIn521021761append @ a @ (cons @ a @ x @ nil @ a) @ (listIn521021761append @ a @ xs @ f))))),
% 2.18/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 2.18/0.62 thf(f274,negated_conjecture,(
% 2.18/0.62 ~ (((listIn521021761append @ a @ (cons @ a @ x @ xs) @ f)) = ((listIn521021761append @ a @ (cons @ a @ x @ nil @ a) @ (listIn521021761append @ a @ xs @ f))))),
% 2.18/0.62 inference(negated_conjecture,[status(cth)],[f273])).
% 2.18/0.62 thf(f628,plain,(
% 2.18/0.62 (((listIn521021761append @ a @ (cons @ a @ x @ xs) @ f)) != ((listIn521021761append @ a @ (cons @ a @ x @ nil @ a) @ (listIn521021761append @ a @ xs @ f))))),
% 2.18/0.62 inference(flattening,[],[f274])).
% 2.18/0.62 thf(f1258,plain,(
% 2.18/0.62 ( ! [X0 : $tType,X2 : list @ X0,X3 : (nat > X0),X1 : list @ X0] : ((((listIn521021761append @ X0 @ X1 @ (listIn521021761append @ X0 @ X2 @ X3))) = ((listIn521021761append @ X0 @ (append @ X0 @ X1 @ X2) @ X3)))) )),
% 2.18/0.62 inference(cnf_transformation,[],[f85])).
% 2.18/0.62 thf(f1281,plain,(
% 2.18/0.62 ( ! [X0 : $tType,X2 : list @ X0,X1 : X0] : ((((cons @ X0 @ X1 @ X2)) = ((append @ X0 @ (cons @ X0 @ X1 @ nil @ X0) @ X2)))) )),
% 2.18/0.62 inference(cnf_transformation,[],[f104])).
% 2.18/0.62 thf(f1553,plain,(
% 2.18/0.62 (((listIn521021761append @ a @ (cons @ a @ x @ xs) @ f)) != ((listIn521021761append @ a @ (cons @ a @ x @ nil @ a) @ (listIn521021761append @ a @ xs @ f))))),
% 2.18/0.62 inference(cnf_transformation,[],[f628])).
% 2.18/0.62 thf(f2663,plain,(
% 2.18/0.62 (((listIn521021761append @ a @ (cons @ a @ x @ xs) @ f)) != ((listIn521021761append @ a @ (append @ a @ (cons @ a @ x @ nil @ a) @ xs) @ f)))),
% 2.18/0.62 inference(constrained_superposition,[],[f1553,f1258])).
% 2.18/0.62 thf(f2665,plain,(
% 2.18/0.62 (((listIn521021761append @ a @ (cons @ a @ x @ xs) @ f)) != ((listIn521021761append @ a @ (cons @ a @ x @ xs) @ f)))),
% 2.18/0.62 inference(forward_demodulation,[],[f2663,f1281])).
% 2.18/0.62 thf(f2666,plain,(
% 2.18/0.62 $false),
% 2.18/0.62 inference(trivial_inequality_removal,[],[f2665])).
% 2.18/0.62 % SZS output end Proof for theBenchmark
% 2.18/0.62 % (1511143)------------------------------
% 2.18/0.62 % (1511143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.62 % (1511143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.62 % (1511143)CaDiCaL version: 2.1.3
% 2.18/0.62 % (1511143)Termination reason: Refutation
% 2.18/0.62 % (1511143)Time elapsed: 0.151 s
% 2.18/0.62 % (1511143)Peak memory usage: 16 MB
% 2.18/0.62 % (1511143)Instructions burned: 294 (million)
% 2.18/0.62 % (1511109)Success in time 0.386 s
% 2.18/0.62 % Vampire exiting
%------------------------------------------------------------------------------