%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP166^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 08:10:57 AM UTC 2026
% Result : Theorem 3.54s 1.02s
% Output : Refutation 3.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP166^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 % Computer : n014.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Tue Sep 29 20:04:30 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.26 Running first-order model finding
% 0.10/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.54/1.02 % (3145605)Will run a generic schedule for satisfiability detection.
% 3.54/1.02 % (3145611)% WARNING: option uhcvi not known.
% 3.54/1.02 % (3145615)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=281316246:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.54/1.02 % (3145613)dis+10_1_sil=32000:sp=arity:random_seed=1934935629:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.54/1.02 % (3145612)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3486984403:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.54/1.02 % (3145611)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3515598855:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.54/1.02 % (3145610)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1533518436_2999 on theBenchmark for (2999ds/0Mi)
% 3.54/1.02 % (3145614)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3987271386:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.54/1.02 % (3145616)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=692790664:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.54/1.02 % (3145611)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.54/1.02 % (3145614)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.54/1.02 % (3145615)Instruction limit reached!
% 3.54/1.02 % (3145615)------------------------------
% 3.54/1.02 % (3145615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/1.02 % (3145615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.02 % (3145615)CaDiCaL version: 2.1.3
% 3.54/1.02 % (3145615)Termination reason: Instruction limit
% 3.54/1.02 % (3145615)Termination phase: Saturation
% 3.54/1.02 % (3145615)Time elapsed: 0.052 s
% 3.54/1.02 % (3145615)Peak memory usage: 12 MB
% 3.54/1.02 % (3145615)Instructions burned: 131 (million)
% 3.54/1.02 % (3145614)Instruction limit reached!
% 3.54/1.02 % (3145614)------------------------------
% 3.54/1.02 % (3145614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/1.02 % (3145614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.02 % (3145614)CaDiCaL version: 2.1.3
% 3.54/1.02 % (3145614)Termination reason: Instruction limit
% 3.54/1.02 % (3145614)Termination phase: Property scanning
% 3.54/1.02 % (3145614)Time elapsed: 0.050 s
% 3.54/1.02 % (3145614)Peak memory usage: 12 MB
% 3.54/1.02 % (3145614)Instructions burned: 118 (million)
% 3.54/1.02 % (3145611)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.54/1.02 % Exception at run slice level
% 3.54/1.02 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.54/1.02 % (3145624)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2601570964:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 3.54/1.02 % (3145613)Instruction limit reached!
% 3.54/1.02 % (3145613)------------------------------
% 3.54/1.02 % (3145613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/1.02 % (3145613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.02 % (3145613)CaDiCaL version: 2.1.3
% 3.54/1.02 % (3145613)Termination reason: Instruction limit
% 3.54/1.02 % (3145613)Termination phase: Property scanning
% 3.54/1.02 % (3145613)Time elapsed: 0.074 s
% 3.54/1.02 % (3145613)Peak memory usage: 11 MB
% 3.54/1.02 % (3145613)Instructions burned: 103 (million)
% 3.54/1.02 % (3145626)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=3136504654:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.54/1.02 % (3145625)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1147547140:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.54/1.02 % (3145628)ott-21_1_sil=16000:fs=off:random_seed=3170046957:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.54/1.02 % (3145626)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.54/1.02 % Exception at run slice level
% 3.54/1.02 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.54/1.02 % (3145616)Instruction limit reached!
% 3.54/1.02 % (3145616)------------------------------
% 3.54/1.02 % (3145616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/1.02 % (3145616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.02 % (3145616)CaDiCaL version: 2.1.3
% 3.54/1.02 % (3145616)Termination reason: Instruction limit
% 3.54/1.02 % (3145616)Termination phase: Saturation
% 3.54/1.02 % (3145616)Time elapsed: 0.124 s
% 3.54/1.02 % (3145616)Peak memory usage: 13 MB
% 3.54/1.02 % (3145616)Instructions burned: 159 (million)
% 3.54/1.02 % (3145632)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2414596493:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 3.54/1.02 % (3145626)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.54/1.02 % (3145633)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3422618225:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 3.54/1.02 % (3145628)Instruction limit reached!
% 3.54/1.02 % (3145628)------------------------------
% 3.54/1.02 % (3145628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/1.02 % (3145628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.02 % (3145628)CaDiCaL version: 2.1.3
% 3.54/1.02 % (3145628)Termination reason: Instruction limit
% 3.54/1.02 % (3145628)Termination phase: Saturation
% 3.54/1.02 % (3145628)Time elapsed: 0.074 s
% 3.54/1.02 % (3145628)Peak memory usage: 13 MB
% 3.54/1.02 % (3145628)Instructions burned: 182 (million)
% 3.54/1.02 % (3145625)Instruction limit reached!
% 3.54/1.02 % (3145625)------------------------------
% 3.54/1.02 % (3145625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/1.02 % (3145625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.02 % (3145625)CaDiCaL version: 2.1.3
% 3.54/1.02 % (3145625)Termination reason: Instruction limit
% 3.54/1.02 % (3145625)Termination phase: Saturation
% 3.54/1.02 % (3145625)Time elapsed: 0.103 s
% 3.54/1.02 % (3145625)Peak memory usage: 12 MB
% 3.54/1.02 % (3145625)Instructions burned: 131 (million)
% 3.54/1.02 % (3145636)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=123544657:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 3.54/1.02 % (3145637)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=278300026:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 3.54/1.02 % Exception at run slice level
% 3.54/1.02 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.54/1.02 % (3145640)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=839232069:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 3.54/1.02 % Exception at run slice level
% 3.54/1.02 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.54/1.02 % (3145640)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.54/1.02 % (3145642)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3686904780:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 3.54/1.02 % (3145642)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.54/1.02 % (3145626)Instruction limit reached!
% 3.54/1.02 % (3145626)------------------------------
% 3.54/1.02 % (3145626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/1.02 % (3145626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.02 % (3145626)CaDiCaL version: 2.1.3
% 3.54/1.02 % (3145626)Termination reason: Instruction limit
% 3.54/1.02 % (3145626)Termination phase: Saturation
% 3.54/1.02 % (3145626)Time elapsed: 0.277 s
% 3.54/1.02 % (3145626)Peak memory usage: 15 MB
% 3.54/1.02 % (3145626)Instructions burned: 684 (million)
% 3.54/1.02 % (3145632)Instruction limit reached!
% 3.54/1.02 % (3145632)------------------------------
% 3.54/1.02 % (3145632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/1.02 % (3145632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.02 % (3145632)CaDiCaL version: 2.1.3
% 3.54/1.02 % (3145632)Termination reason: Instruction limit
% 3.54/1.02 % (3145632)Termination phase: Saturation
% 3.54/1.02 % (3145632)Time elapsed: 0.224 s
% 3.54/1.02 % (3145632)Peak memory usage: 15 MB
% 3.54/1.02 % (3145632)Instructions burned: 477 (million)
% 3.54/1.02 % (3145644)fmb+10_1_sil=64000:random_seed=3724256893:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 3.54/1.02 % (3145645)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1842848681:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 3.54/1.02 % (3145644)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.54/1.02 % Exception at run slice level
% 3.54/1.02 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.54/1.02 % Exception at run slice level
% 3.54/1.02 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.54/1.02 % (3145648)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1177652304:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 3.54/1.02 % (3145649)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=927976325:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 3.54/1.02 % (3145649)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.54/1.02 % Exception at run slice level
% 3.54/1.02 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.54/1.02 % (3145652)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1423482259:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 3.54/1.02 % (3145652)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.54/1.02 % (3145652)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.54/1.02 % (3145611) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3145605-3145611"...
% 3.54/1.02 % (3145611)...printing done.
% 3.54/1.02 % (3145611)Refutation found. Thanks to Tanya!
% 3.54/1.02 % SZS status Theorem for theBenchmark
% 3.54/1.02 % SZS output start Proof for theBenchmark
% 3.54/1.02 thf(type_def_5, type, tuple_isomorphism: ($tType * $tType * $tType) > $tType).
% 3.54/1.02 thf(type_def_6, type, product_prod: ($tType * $tType) > $tType).
% 3.54/1.02 thf(type_def_7, type, typerep: $tType).
% 3.54/1.02 thf(type_def_8, type, literal: $tType).
% 3.54/1.02 thf(type_def_9, type, sum_sum: ($tType * $tType) > $tType).
% 3.54/1.02 thf(type_def_10, type, option: $tType > $tType).
% 3.54/1.02 thf(type_def_11, type, char: $tType).
% 3.54/1.02 thf(type_def_12, type, list: $tType > $tType).
% 3.54/1.02 thf(type_def_13, type, bexp: $tType).
% 3.54/1.02 thf(type_def_14, type, aexp: $tType).
% 3.54/1.02 thf(type_def_15, type, set: $tType > $tType).
% 3.54/1.02 thf(type_def_16, type, nat: $tType).
% 3.54/1.02 thf(type_def_17, type, int: $tType).
% 3.54/1.02 thf(type_def_18, type, com: $tType).
% 3.54/1.02 thf(type_def_19, type, sTfun: ($tType * $tType) > $tType).
% 3.54/1.02 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 3.54/1.02 thf(func_def_1, type, size: !>[X0: $tType]:($o)).
% 3.54/1.02 thf(func_def_2, type, zero: !>[X0: $tType]:($o)).
% 3.54/1.02 thf(func_def_3, type, neg_numeral: !>[X0: $tType]:($o)).
% 3.54/1.02 thf(func_def_4, type, group_add: !>[X0: $tType]:($o)).
% 3.54/1.02 thf(func_def_5, type, monoid_add: !>[X0: $tType]:($o)).
% 3.54/1.02 thf(func_def_6, type, semigroup_add: !>[X0: $tType]:($o)).
% 3.54/1.02 thf(func_def_7, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 3.54/1.02 thf(func_def_8, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 3.54/1.02 thf(func_def_9, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 3.54/1.02 thf(func_def_10, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 3.54/1.02 thf(func_def_11, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 3.54/1.02 thf(func_def_12, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 3.54/1.02 thf(func_def_13, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 3.54/1.02 thf(func_def_14, type, unique1598680935umeral: !>[X0: $tType]:($o)).
% 3.54/1.02 thf(func_def_15, type, semiri456707255roduct: !>[X0: $tType]:($o)).
% 3.54/1.02 thf(func_def_16, type, bval: (bexp > (list @ char > int) > $o)).
% 3.54/1.02 thf(func_def_17, type, bNF_Greatest_Shift: !>[X0: $tType]:((set @ list @ X0 > X0 > set @ list @ X0))).
% 3.54/1.02 thf(func_def_18, type, bNF_Greatest_Succ: !>[X0: $tType]:((set @ list @ X0 > list @ X0 > set @ X0))).
% 3.54/1.02 thf(func_def_19, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > X1) > (X0 > X2) > set @ product_prod @ X1 @ X2))).
% 3.54/1.02 thf(func_def_20, type, bNF_Greatest_image2p: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > (X0 > X2 > $o) > X1 > X3 > $o))).
% 3.54/1.02 thf(func_def_21, type, bNF_Gr1317331620lImage: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > set @ product_prod @ X1 @ X1))).
% 3.54/1.02 thf(func_def_22, type, bNF_Gr2107612801vImage: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1) > set @ product_prod @ X0 @ X0))).
% 3.54/1.02 thf(func_def_23, type, bNF_Greatest_shift: !>[X0: $tType, X1: $tType]:(((list @ X0 > X1) > X0 > list @ X0 > X1))).
% 3.54/1.02 thf(func_def_24, type, basic_BNF_size_sum: !>[X0: $tType, X1: $tType]:(((X0 > nat) > (X1 > nat) > sum_sum @ X0 @ X1 > nat))).
% 3.54/1.02 thf(func_def_25, type, big_big_step: (product_prod @ com @ (list @ char > int) > (list @ char > int) > $o)).
% 3.54/1.02 thf(func_def_26, type, assign: (list @ char > aexp > com)).
% 3.54/1.02 thf(func_def_27, type, if: (bexp > com > com > com)).
% 3.54/1.02 thf(func_def_28, type, skip: com).
% 3.54/1.02 thf(func_def_29, type, seq: (com > com > com)).
% 3.54/1.02 thf(func_def_30, type, while: (bexp > com > com)).
% 3.54/1.02 thf(func_def_31, type, size_com: (com > nat)).
% 3.54/1.02 thf(func_def_32, type, unique455577585es_aux: !>[X0: $tType]:((product_prod @ X0 @ X0 > $o))).
% 3.54/1.02 thf(func_def_33, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 3.54/1.02 thf(func_def_34, type, zero_zero: !>[X0: $tType]:(X0)).
% 3.54/1.02 thf(func_def_35, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 3.54/1.02 thf(func_def_36, type, gen_length: !>[X0: $tType]:((nat > list @ X0 > nat))).
% 3.54/1.02 thf(func_def_37, type, lex: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 3.54/1.02 thf(func_def_38, type, lexn: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > set @ product_prod @ list @ X0 @ list @ X0))).
% 3.54/1.02 thf(func_def_39, type, lexord: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 3.54/1.02 thf(func_def_40, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 3.54/1.02 thf(func_def_41, type, size_list: !>[X0: $tType]:(((X0 > nat) > list @ X0 > nat))).
% 3.54/1.02 thf(func_def_42, type, listrel1: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 3.54/1.02 thf(func_def_43, type, set_Cons: !>[X0: $tType]:((set @ X0 > set @ list @ X0 > set @ list @ X0))).
% 3.54/1.02 thf(func_def_44, type, splice: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 3.54/1.02 thf(func_def_45, type, suc: (nat > nat)).
% 3.54/1.02 thf(func_def_46, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 3.54/1.02 thf(func_def_47, type, none: !>[X0: $tType]:(option @ X0)).
% 3.54/1.02 thf(func_def_48, type, some: !>[X0: $tType]:((X0 > option @ X0))).
% 3.54/1.02 thf(func_def_49, type, case_option: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > option @ X1 > X0))).
% 3.54/1.02 thf(func_def_50, type, size_option: !>[X0: $tType]:(((X0 > nat) > option @ X0 > nat))).
% 3.54/1.02 thf(func_def_51, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 3.54/1.02 thf(func_def_52, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 3.54/1.02 thf(func_def_53, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 3.54/1.02 thf(func_def_54, type, tuple_742722141rphism: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > product_prod @ X1 @ X2) > (product_prod @ X1 @ X2 > X0) > tuple_isomorphism @ X0 @ X1 @ X2))).
% 3.54/1.02 thf(func_def_55, type, tuple_1907371454rphism: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > nat) > (X1 > nat) > (X2 > nat) > tuple_isomorphism @ X0 @ X1 @ X2 > nat))).
% 3.54/1.02 thf(func_def_56, type, relati1716060877e_flip: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > $o)).
% 3.54/1.02 thf(func_def_57, type, relati1010904253t_back: !>[X0: $tType]:((((list @ char > int) > X0 > $o) > bexp > com > nat > (list @ char > int) > X0 > $o))).
% 3.54/1.02 thf(func_def_58, type, relati1493963588_hoare: (((list @ char > int) > (list @ char > int) > $o) > com > com > ((list @ char > int) > (list @ char > int) > $o) > $o)).
% 3.54/1.02 thf(func_def_59, type, relati167478067_valid: (((list @ char > int) > (list @ char > int) > $o) > com > com > ((list @ char > int) > (list @ char > int) > $o) > $o)).
% 3.54/1.02 thf(func_def_60, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 3.54/1.02 thf(func_def_61, type, sum_Inl: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X0 @ X1))).
% 3.54/1.02 thf(func_def_62, type, sum_Inr: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X1 @ X0))).
% 3.54/1.02 thf(func_def_63, type, typerep2: (literal > list @ typerep > typerep)).
% 3.54/1.02 thf(func_def_64, type, size_typerep: (typerep > nat)).
% 3.54/1.02 thf(func_def_65, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 3.54/1.02 thf(func_def_66, type, p: ((list @ char > int) > (list @ char > int) > $o)).
% 3.54/1.02 thf(func_def_67, type, q: ((list @ char > int) > (list @ char > int) > $o)).
% 3.54/1.02 thf(func_def_68, type, b: bexp).
% 3.54/1.02 thf(func_def_69, type, c: com).
% 3.54/1.02 thf(func_def_70, type, c2: com).
% 3.54/1.02 thf(func_def_71, type, k: nat).
% 3.54/1.02 thf(func_def_72, type, ka: nat).
% 3.54/1.02 thf(func_def_73, type, s: (list @ char > int)).
% 3.54/1.02 thf(func_def_74, type, s_a: (list @ char > int)).
% 3.54/1.02 thf(func_def_75, type, s2: (list @ char > int)).
% 3.54/1.02 thf(func_def_76, type, sa: (list @ char > int)).
% 3.54/1.02 thf(func_def_77, type, t: (list @ char > int)).
% 3.54/1.02 thf(func_def_78, type, t_a: (list @ char > int)).
% 3.54/1.02 thf(func_def_79, type, t2: (list @ char > int)).
% 3.54/1.02 thf(func_def_80, type, ta: (list @ char > int)).
% 3.54/1.02 thf(func_def_81, type, u: (list @ char > int)).
% 3.54/1.02 thf(func_def_82, type, ua: (list @ char > int)).
% 3.54/1.02 thf(func_def_86, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.54/1.02 thf(func_def_87, type, vAND: ($o > $o > $o)).
% 3.54/1.02 thf(func_def_88, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.54/1.02 thf(func_def_89, type, db0: !>[X0: $tType]:(X0)).
% 3.54/1.02 thf(func_def_90, type, db1: !>[X0: $tType]:(X0)).
% 3.54/1.02 thf(func_def_91, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 3.54/1.02 thf(func_def_92, type, vOR: ($o > $o > $o)).
% 3.54/1.02 thf(func_def_93, type, vIMP: ($o > $o > $o)).
% 3.54/1.02 thf(func_def_94, type, db2: !>[X0: $tType]:(X0)).
% 3.54/1.02 thf(func_def_95, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.54/1.02 thf(func_def_96, type, db7: !>[X0: $tType]:(X0)).
% 3.54/1.02 thf(func_def_97, type, db6: !>[X0: $tType]:(X0)).
% 3.54/1.02 thf(func_def_98, type, db5: !>[X0: $tType]:(X0)).
% 3.54/1.02 thf(func_def_99, type, db3: !>[X0: $tType]:(X0)).
% 3.54/1.02 thf(func_def_100, type, vNOT: ($o > $o)).
% 3.54/1.02 thf(func_def_101, type, db4: !>[X0: $tType]:(X0)).
% 3.54/1.02 thf(func_def_102, type, sP0: ((nat > (list @ char > int) > (list @ char > int) > $o) > nat > bexp > com > (list @ char > int) > com > (list @ char > int) > $o)).
% 3.54/1.02 thf(func_def_103, type, sP1: ((com > $o) > $o)).
% 3.54/1.02 thf(func_def_104, type, sK2: ((list @ char > int) > (list @ char > int) > list @ char > int)).
% 3.54/1.02 thf(func_def_105, type, sK3: ((list @ char > int) > (list @ char > int) > list @ char > int)).
% 3.54/1.02 thf(func_def_106, type, sK4: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_107, type, sK5: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_108, type, sK6: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_109, type, sK7: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_110, type, sK8: (com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_111, type, sK9: (com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_112, type, sK10: (com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_113, type, sK11: (com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_114, type, sK12: ((list @ char > int) > (list @ char > int) > com > bexp > list @ char > int)).
% 3.54/1.02 thf(func_def_115, type, sK13: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 3.54/1.02 thf(func_def_116, type, sK14: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 3.54/1.02 thf(func_def_117, type, sK15: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 3.54/1.02 thf(func_def_118, type, sK16: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 3.54/1.02 thf(func_def_119, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X6))).
% 3.54/1.02 thf(func_def_120, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5))).
% 3.54/1.02 thf(func_def_121, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 3.54/1.02 thf(func_def_122, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 3.54/1.02 thf(func_def_123, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 3.54/1.02 thf(func_def_124, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 3.54/1.02 thf(func_def_125, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 3.54/1.02 thf(func_def_126, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5))).
% 3.54/1.02 thf(func_def_127, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 3.54/1.02 thf(func_def_128, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 3.54/1.02 thf(func_def_129, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 3.54/1.02 thf(func_def_130, type, sK28: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 3.54/1.02 thf(func_def_131, type, sK29: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 3.54/1.02 thf(func_def_132, type, sK30: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 3.54/1.02 thf(func_def_133, type, sK31: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 3.54/1.02 thf(func_def_134, type, sK32: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 3.54/1.02 thf(func_def_135, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 3.54/1.02 thf(func_def_136, type, sK34: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 3.54/1.02 thf(func_def_137, type, sK35: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 3.54/1.02 thf(func_def_138, type, sK36: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 3.54/1.02 thf(func_def_139, type, sK37: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 3.54/1.02 thf(func_def_140, type, sK38: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 3.54/1.02 thf(func_def_141, type, sK39: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 3.54/1.02 thf(func_def_142, type, sK40: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 3.54/1.02 thf(func_def_143, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 3.54/1.02 thf(func_def_144, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X0))).
% 3.54/1.02 thf(func_def_145, type, sK43: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X1))).
% 3.54/1.02 thf(func_def_146, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X2))).
% 3.54/1.02 thf(func_def_147, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X3))).
% 3.54/1.02 thf(func_def_148, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X4))).
% 3.54/1.02 thf(func_def_149, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X5))).
% 3.54/1.02 thf(func_def_150, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X6))).
% 3.54/1.02 thf(func_def_151, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X0))).
% 3.54/1.02 thf(func_def_152, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X1))).
% 3.54/1.02 thf(func_def_153, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X2))).
% 3.54/1.02 thf(func_def_154, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X3))).
% 3.54/1.02 thf(func_def_155, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X4))).
% 3.54/1.02 thf(func_def_156, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X5))).
% 3.54/1.02 thf(func_def_157, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X0))).
% 3.54/1.02 thf(func_def_158, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X1))).
% 3.54/1.02 thf(func_def_159, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X2))).
% 3.54/1.02 thf(func_def_160, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X3))).
% 3.54/1.02 thf(func_def_161, type, sK59: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4))).
% 3.54/1.02 thf(func_def_162, type, sK60: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0))).
% 3.54/1.02 thf(func_def_163, type, sK61: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1))).
% 3.54/1.02 thf(func_def_164, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2))).
% 3.54/1.02 thf(func_def_165, type, sK63: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3))).
% 3.54/1.02 thf(func_def_166, type, sK64: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 3.54/1.02 thf(func_def_167, type, sK65: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 3.54/1.02 thf(func_def_168, type, sK66: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 3.54/1.02 thf(func_def_169, type, sK67: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 3.54/1.02 thf(func_def_170, type, sK68: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 3.54/1.02 thf(func_def_171, type, sK69: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 3.54/1.02 thf(func_def_172, type, sK70: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 3.54/1.02 thf(func_def_173, type, sK71: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 3.54/1.02 thf(func_def_174, type, sK72: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 3.54/1.02 thf(func_def_175, type, sK73: (com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_176, type, sK74: (com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_177, type, sK75: (com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_178, type, sK76: (com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_179, type, sK77: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_180, type, sK78: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_181, type, sK79: ((nat > (list @ char > int) > (list @ char > int) > $o) > nat > bexp > com > (list @ char > int) > com > (list @ char > int) > list @ char > int)).
% 3.54/1.02 thf(func_def_182, type, sK80: ((nat > (list @ char > int) > (list @ char > int) > $o) > nat > bexp > com > (list @ char > int) > com > (list @ char > int) > list @ char > int)).
% 3.54/1.02 thf(func_def_183, type, sK81: (com > ((list @ char > int) > (list @ char > int) > $o) > com > bexp > nat > (nat > (list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_184, type, sK82: (com > ((list @ char > int) > (list @ char > int) > $o) > com > bexp > nat > (nat > (list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_185, type, sK83: (com > bexp > nat > (nat > (list @ char > int) > (list @ char > int) > $o) > nat)).
% 3.54/1.02 thf(func_def_186, type, sK84: (com > bexp > nat > (nat > (list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_187, type, sK85: (com > bexp > nat > (nat > (list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_188, type, sK86: ((list @ char > int) > (list @ char > int) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_189, type, sK87: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_190, type, sK88: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_191, type, sK89: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_192, type, sK90: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_193, type, sK91: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_194, type, sK92: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_195, type, sK93: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_196, type, sK94: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_197, type, sK95: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_198, type, sK96: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_199, type, sK97: (com > bexp)).
% 3.54/1.02 thf(func_def_200, type, sK98: (com > com)).
% 3.54/1.02 thf(func_def_201, type, sK99: (com > bexp)).
% 3.54/1.02 thf(func_def_202, type, sK100: (com > com)).
% 3.54/1.02 thf(func_def_203, type, sK101: (com > com)).
% 3.54/1.02 thf(func_def_204, type, sK102: (com > com)).
% 3.54/1.02 thf(func_def_205, type, sK103: (com > com)).
% 3.54/1.02 thf(func_def_206, type, sK104: (com > list @ char)).
% 3.54/1.02 thf(func_def_207, type, sK105: (com > aexp)).
% 3.54/1.02 thf(func_def_208, type, sK106: ((com > $o) > com)).
% 3.54/1.02 thf(func_def_209, type, sK107: ((com > $o) > com)).
% 3.54/1.02 thf(func_def_210, type, sK108: ((com > $o) > bexp)).
% 3.54/1.02 thf(func_def_211, type, sK109: ((com > $o) > com)).
% 3.54/1.02 thf(func_def_212, type, sK110: ((com > $o) > bexp)).
% 3.54/1.02 thf(func_def_213, type, sK111: ((com > $o) > com)).
% 3.54/1.02 thf(func_def_214, type, sK112: ((com > $o) > com)).
% 3.54/1.02 thf(func_def_215, type, sK113: ((com > $o) > list @ char)).
% 3.54/1.02 thf(func_def_216, type, sK114: ((com > $o) > aexp)).
% 3.54/1.02 thf(func_def_217, type, sK115: (com > bexp > (nat > (list @ char > int) > (list @ char > int) > $o) > nat)).
% 3.54/1.02 thf(func_def_218, type, sK116: ((nat > $o) > nat)).
% 3.54/1.02 thf(func_def_219, type, sK117: ((nat > nat > $o) > nat)).
% 3.54/1.02 thf(func_def_220, type, sK118: ((nat > nat > $o) > nat)).
% 3.54/1.02 thf(func_def_221, type, sK119: ((nat > nat > $o) > nat)).
% 3.54/1.02 thf(func_def_222, type, sK120: ((nat > nat > $o) > nat)).
% 3.54/1.02 thf(func_def_223, type, sK121: ((nat > $o) > nat)).
% 3.54/1.02 thf(func_def_224, type, sK122: (nat > nat)).
% 3.54/1.02 thf(func_def_225, type, sK123: ((nat > $o) > nat)).
% 3.54/1.02 thf(func_def_226, type, sK124: (nat > nat)).
% 3.54/1.02 thf(func_def_227, type, sK125: (com > bexp > (nat > (list @ char > int) > (list @ char > int) > $o) > nat)).
% 3.54/1.02 thf(func_def_228, type, sK126: ((nat > nat > $o) > nat)).
% 3.54/1.02 thf(func_def_229, type, sK127: ((nat > nat > $o) > nat)).
% 3.54/1.02 thf(func_def_230, type, sK128: ((nat > nat > $o) > nat)).
% 3.54/1.02 thf(func_def_231, type, sK129: ((nat > nat > $o) > nat)).
% 3.54/1.02 thf(func_def_232, type, sK130: ((nat > nat > $o) > nat)).
% 3.54/1.02 thf(func_def_233, type, sK131: !>[X0: $tType]:(((nat > X0 > X0 > $o) > (nat > X0 > $o) > nat > X0))).
% 3.54/1.02 thf(func_def_234, type, sK132: !>[X0: $tType]:(((nat > X0 > X0 > $o) > (nat > X0 > $o) > X0))).
% 3.54/1.02 thf(func_def_235, type, sK133: !>[X0: $tType]:(((nat > X0 > X0 > $o) > (nat > X0 > $o) > nat))).
% 3.54/1.02 thf(func_def_236, type, sK134: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > X1 > (X2 > X3 > $o) > (X3 > X0) > (X2 > X1) > X2))).
% 3.54/1.02 thf(func_def_237, type, sK135: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > X1 > (X2 > X3 > $o) > (X3 > X0) > (X2 > X1) > X3))).
% 3.54/1.02 thf(func_def_238, type, sK136: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X1))).
% 3.54/1.02 thf(func_def_239, type, sK137: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X0))).
% 3.54/1.02 thf(func_def_240, type, sK138: !>[X0: $tType]:((option @ X0 > (X0 > $o) > X0))).
% 3.54/1.02 thf(func_def_241, type, sK139: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > $o) > (X1 > $o) > X1))).
% 3.54/1.02 thf(func_def_242, type, sK140: !>[X0: $tType]:((nat > list @ X0))).
% 3.54/1.02 thf(func_def_243, type, sK141: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 3.54/1.02 thf(func_def_244, type, sK142: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 3.54/1.02 thf(func_def_245, type, sK143: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 3.54/1.02 thf(func_def_246, type, sK144: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > list @ X0 > X0 > list @ X0))).
% 3.54/1.02 thf(func_def_247, type, sK145: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > list @ X0 > X0 > X0))).
% 3.54/1.02 thf(func_def_248, type, sK146: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > X0 > list @ X0 > list @ X0))).
% 3.54/1.02 thf(func_def_249, type, sK147: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > list @ X0 > X0 > list @ X0 > X0))).
% 3.54/1.02 thf(func_def_250, type, sK148: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 3.54/1.02 thf(func_def_251, type, sK149: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 3.54/1.02 thf(func_def_252, type, sK150: !>[X0: $tType]:((nat > list @ X0 > X0))).
% 3.54/1.02 thf(func_def_253, type, sK151: !>[X0: $tType]:((list @ X0 > nat > list @ X0))).
% 3.54/1.02 thf(func_def_254, type, sK152: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 3.54/1.02 thf(func_def_255, type, sK153: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X3) > (X2 > X0) > (X1 > X2 > $o) > X2 > X1 > X2))).
% 3.54/1.02 thf(func_def_256, type, sK154: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X2 > (X2 > X1 > $o) > (X2 > X3) > X1 > (X1 > X0) > X2))).
% 3.54/1.02 thf(func_def_257, type, sK155: (((list @ char > int) > (list @ char > int) > $o) > bexp > (nat > (list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_258, type, sK156: (bexp > (nat > (list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_259, type, sK157: (((list @ char > int) > (list @ char > int) > $o) > bexp > (nat > (list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_260, type, sK158: (bexp > (nat > (list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_261, type, sK159: ((list @ char > int) > (list @ char > int) > bexp > (nat > (list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_262, type, sK160: ((list @ char > int) > (list @ char > int) > bexp > (nat > (list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_263, type, sK161: ((list @ char > int) > (list @ char > int) > bexp > (nat > (list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_264, type, sK162: ((list @ char > int) > (list @ char > int) > bexp > (nat > (list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_265, type, sK163: ((list @ char > int) > (list @ char > int) > bexp > (nat > (list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_266, type, sK164: ((list @ char > int) > (list @ char > int) > bexp > (nat > (list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_267, type, sK165: ((list @ char > int) > (list @ char > int) > bexp > (nat > (list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_268, type, sK166: ((list @ char > int) > (list @ char > int) > bexp > (nat > (list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_269, type, sK167: ((list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_270, type, sK168: ((list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_271, type, sK169: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_272, type, sK170: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_273, type, sK171: (((list @ char > int) > (list @ char > int) > $o) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_274, type, sK172: (((list @ char > int) > (list @ char > int) > $o) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_275, type, sK173: (com > (list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_276, type, sK174: (com > (list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_277, type, sK175: (com > (list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_278, type, sK176: (com > (list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_279, type, sK177: (((list @ char > int) > (list @ char > int) > $o) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_280, type, sK178: (((list @ char > int) > (list @ char > int) > $o) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_281, type, sK179: (com > (list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_282, type, sK180: (com > (list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_283, type, sK181: (com > (list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_284, type, sK182: (com > (list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_285, type, sK183: (((list @ char > int) > (list @ char > int) > $o) > com > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_286, type, sK184: (((list @ char > int) > (list @ char > int) > $o) > com > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_287, type, sK185: (com > (list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_288, type, sK186: (com > (list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_289, type, sK187: (com > (list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_290, type, sK188: (com > (list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_291, type, sK189: (((list @ char > int) > (list @ char > int) > $o) > com > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_292, type, sK190: (((list @ char > int) > (list @ char > int) > $o) > com > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_293, type, sK191: (com > (list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_294, type, sK192: (com > (list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_295, type, sK193: (com > (list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_296, type, sK194: (com > (list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_297, type, sK195: (((list @ char > int) > (list @ char > int) > $o) > com > bexp > ((list @ char > int) > (list @ char > int) > $o) > nat > com > list @ char > int)).
% 3.54/1.02 thf(func_def_298, type, sK196: (((list @ char > int) > (list @ char > int) > $o) > com > bexp > ((list @ char > int) > (list @ char > int) > $o) > nat > com > list @ char > int)).
% 3.54/1.02 thf(func_def_299, type, sK197: ((list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > nat > com > list @ char > int)).
% 3.54/1.02 thf(func_def_300, type, sK198: ((list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > nat > com > list @ char > int)).
% 3.54/1.02 thf(func_def_301, type, sK199: ((list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > nat > com > list @ char > int)).
% 3.54/1.02 thf(func_def_302, type, sK200: ((list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > nat > com > list @ char > int)).
% 3.54/1.02 thf(func_def_303, type, sK201: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_304, type, sK202: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_305, type, sK203: ((list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_306, type, sK204: ((list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_307, type, sK205: ((list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_308, type, sK206: ((list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_309, type, sK207: (((list @ char > int) > (list @ char > int) > $o) > com > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_310, type, sK208: (((list @ char > int) > (list @ char > int) > $o) > com > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_311, type, sK209: ((list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_312, type, sK210: ((list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_313, type, sK211: ((list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_314, type, sK212: ((list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_315, type, sK213: (((list @ char > int) > (list @ char > int) > $o) > com > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_316, type, sK214: (((list @ char > int) > (list @ char > int) > $o) > com > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_317, type, sK215: ((list @ char > int) > ((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_318, type, sK216: ((list @ char > int) > ((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_319, type, sK217: ((list @ char > int) > ((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_320, type, sK218: ((list @ char > int) > ((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_321, type, sK219: ((list @ char > int) > ((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_322, type, sK220: ((list @ char > int) > ((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_323, type, sK221: ((list @ char > int) > ((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_324, type, sK222: ((list @ char > int) > ((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_325, type, sK223: ((list @ char > int) > ((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_326, type, sK224: ((list @ char > int) > ((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_327, type, sK225: (((list @ char > int) > (list @ char > int) > $o) > com > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_328, type, sK226: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_329, type, sK227: (((list @ char > int) > (list @ char > int) > $o) > com > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_330, type, sK228: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_331, type, sK229: (com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_332, type, sK230: (com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_333, type, sK231: (com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_334, type, sK232: (com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_335, type, sK233: (com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_336, type, sK234: (com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_337, type, sK235: (com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_338, type, sK236: (com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_339, type, sK237: (((list @ char > int) > (list @ char > int) > $o) > com > com > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_340, type, sK238: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_341, type, sK239: (((list @ char > int) > (list @ char > int) > $o) > com > com > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_342, type, sK240: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_343, type, sK241: (com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_344, type, sK242: (com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_345, type, sK243: (com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_346, type, sK244: (com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_347, type, sK245: (com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_348, type, sK246: (com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_349, type, sK247: (com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_350, type, sK248: (com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_351, type, sK249: (com > com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_352, type, sK250: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_353, type, sK251: (com > com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 3.54/1.02 thf(func_def_354, type, sK252: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_355, type, sK253: (com > com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_356, type, sK254: (com > com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_357, type, sK255: (com > com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_358, type, sK256: (com > com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_359, type, sK257: (com > com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_360, type, sK258: (com > com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_361, type, sK259: (com > com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_362, type, sK260: (com > com > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_363, type, sK261: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_364, type, sK262: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_365, type, sK263: ((list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_366, type, sK264: ((list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_367, type, sK265: ((list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_368, type, sK266: ((list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_369, type, sK267: ((list @ char > int) > ((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_370, type, sK268: ((list @ char > int) > ((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_371, type, sK269: ((list @ char > int) > (list @ char > int) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_372, type, sK270: ((list @ char > int) > (list @ char > int) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_373, type, sK271: (((list @ char > int) > (list @ char > int) > $o) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_374, type, sK272: (((list @ char > int) > (list @ char > int) > $o) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_375, type, sK273: ((list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_376, type, sK274: ((list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_377, type, sK275: ((list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_378, type, sK276: ((list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_379, type, sK277: (bexp > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_380, type, sK278: (bexp > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_381, type, sK279: ((list @ char > int) > com > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_382, type, sK280: ((list @ char > int) > com > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_383, type, sK281: ((list @ char > int) > com > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_384, type, sK282: ((list @ char > int) > com > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_385, type, sK283: (((list @ char > int) > (list @ char > int) > $o) > com > bexp > ((list @ char > int) > (list @ char > int) > $o) > nat > com > list @ char > int)).
% 3.54/1.02 thf(func_def_386, type, sK284: (((list @ char > int) > (list @ char > int) > $o) > com > bexp > ((list @ char > int) > (list @ char > int) > $o) > nat > com > list @ char > int)).
% 3.54/1.02 thf(func_def_387, type, sK285: (com > (list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > nat > com > list @ char > int)).
% 3.54/1.02 thf(func_def_388, type, sK286: (com > (list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > nat > com > list @ char > int)).
% 3.54/1.02 thf(func_def_389, type, sK287: (com > (list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > nat > com > list @ char > int)).
% 3.54/1.02 thf(func_def_390, type, sK288: (com > (list @ char > int) > (list @ char > int) > bexp > ((list @ char > int) > (list @ char > int) > $o) > nat > com > list @ char > int)).
% 3.54/1.02 thf(func_def_391, type, sK289: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_392, type, sK290: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_393, type, sK291: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_394, type, sK292: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_395, type, sK293: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_396, type, sK294: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_397, type, sK295: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_398, type, sK296: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_399, type, sK297: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_400, type, sK298: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_401, type, sK299: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_402, type, sK300: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_403, type, sK301: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_404, type, sK302: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_405, type, sK303: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_406, type, sK304: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_407, type, sK305: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_408, type, sK306: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_409, type, sK307: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_410, type, sK308: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_411, type, sK309: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_412, type, sK310: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_413, type, sK311: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_414, type, sK312: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_415, type, sK313: ((list @ char > int) > (list @ char > int) > list @ char > int)).
% 3.54/1.02 thf(func_def_416, type, sK314: ((list @ char > int) > (list @ char > int) > list @ char > int)).
% 3.54/1.02 thf(func_def_417, type, sK315: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_418, type, sK316: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_419, type, sK317: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_420, type, sK318: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_421, type, sK319: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_422, type, sK320: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_423, type, sK321: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_424, type, sK322: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_425, type, sK323: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_426, type, sK324: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_427, type, sK325: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_428, type, sK326: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_429, type, sK327: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_430, type, sK328: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_431, type, sK329: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_432, type, sK330: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_433, type, sK331: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_434, type, sK332: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_435, type, sK333: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_436, type, sK334: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > com > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 3.54/1.02 thf(func_def_437, type, sK335: (com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_438, type, sK336: (com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_439, type, sK337: (com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_440, type, sK338: (com > com > list @ char > int)).
% 3.54/1.02 thf(func_def_441, type, sK339: (list @ char > int)).
% 3.54/1.02 thf(func_def_442, type, sK340: (list @ char > int)).
% 3.54/1.02 thf(func_def_443, type, sK341: (list @ char > int)).
% 3.54/1.02 thf(func_def_444, type, sK342: (list @ char > int)).
% 3.54/1.02 thf(func_def_445, type, sK343: (list @ char > int)).
% 3.54/1.02 thf(func_def_446, type, sK344: (list @ char > int)).
% 3.54/1.02 thf(func_def_447, type, sK345: (list @ char > int)).
% 3.54/1.02 thf(func_def_448, type, sK346: (list @ char > int)).
% 3.54/1.02 thf(func_def_449, type, sK347: ((list @ char > int) > (list @ char > int) > list @ char > int)).
% 3.54/1.02 thf(func_def_450, type, sK348: ((list @ char > int) > (list @ char > int) > list @ char > int)).
% 3.54/1.02 thf(f1,axiom,(
% 3.54/1.02 (bval @ b @ sa)),
% 3.54/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_Suc_Oprems_I6_J)).
% 3.54/1.02 thf(f3,axiom,(
% 3.54/1.02 (big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ sa) @ ta)),
% 3.54/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_Suc_Oprems_I3_J)).
% 3.54/1.02 thf(f4,axiom,(
% 3.54/1.02 (big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ s_a) @ t_a)),
% 3.54/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_Suc_Oprems_I4_J)).
% 3.54/1.02 thf(f5,axiom,(
% 3.54/1.02 (relati1010904253t_back @ (list @ char > int) @ p @ b @ c @ (suc @ ka) @ sa @ s_a)),
% 3.54/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_Suc_Oprems_I7_J)).
% 3.54/1.02 thf(f289,conjecture,(
% 3.54/1.02 ? [X0 : (list @ char > int),X1 : (list @ char > int)] : ((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ X1) @ t_a) & (big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ X0) @ ta) & (bval @ b @ X0) & (relati1010904253t_back @ (list @ char > int) @ p @ b @ c @ (suc @ ka) @ X0 @ X1))),
% 3.54/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 3.54/1.02 thf(f290,negated_conjecture,(
% 3.54/1.02 ~ ? [X0 : (list @ char > int),X1 : (list @ char > int)] : ((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ X1) @ t_a) & (big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ X0) @ ta) & (bval @ b @ X0) & (relati1010904253t_back @ (list @ char > int) @ p @ b @ c @ (suc @ ka) @ X0 @ X1))),
% 3.54/1.02 inference(negated_conjecture,[status(cth)],[f289])).
% 3.54/1.02 thf(f291,plain,(
% 3.54/1.02 (bval @ b @ sa)),
% 3.54/1.02 inference(rectify,[],[f1])).
% 3.54/1.02 thf(f292,plain,(
% 3.54/1.02 (((bval @ b @ sa)) = $true)),
% 3.54/1.02 inference(fool_elimination,[],[f291])).
% 3.54/1.02 thf(f295,plain,(
% 3.54/1.02 (big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ sa) @ ta)),
% 3.54/1.02 inference(rectify,[],[f3])).
% 3.54/1.02 thf(f296,plain,(
% 3.54/1.02 (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ sa) @ ta)) = $true)),
% 3.54/1.02 inference(fool_elimination,[],[f295])).
% 3.54/1.02 thf(f297,plain,(
% 3.54/1.02 (big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ s_a) @ t_a)),
% 3.54/1.02 inference(rectify,[],[f4])).
% 3.54/1.02 thf(f298,plain,(
% 3.54/1.02 (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ s_a) @ t_a)) = $true)),
% 3.54/1.02 inference(fool_elimination,[],[f297])).
% 3.54/1.02 thf(f299,plain,(
% 3.54/1.02 (relati1010904253t_back @ (list @ char > int) @ p @ b @ c @ (suc @ ka) @ sa @ s_a)),
% 3.54/1.02 inference(rectify,[],[f5])).
% 3.54/1.02 thf(f300,plain,(
% 3.54/1.02 (((relati1010904253t_back @ (list @ char > int) @ p @ b @ c @ (suc @ ka) @ sa @ s_a)) = $true)),
% 3.54/1.02 inference(fool_elimination,[],[f299])).
% 3.54/1.02 thf(f667,plain,(
% 3.54/1.02 ~ ? [X0 : (list @ char > int),X1 : (list @ char > int)] : ((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ X1) @ t_a) & (big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ X0) @ ta) & (bval @ b @ X0) & (relati1010904253t_back @ (list @ char > int) @ p @ b @ c @ (suc @ ka) @ X0 @ X1))),
% 3.54/1.02 inference(rectify,[],[f290])).
% 3.54/1.02 thf(f668,plain,(
% 3.54/1.02 ~ ? [X0 : (list @ char > int),X1 : (list @ char > int)] : ((((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ X1) @ t_a)) = $true) & (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ X0) @ ta)) = $true) & (((bval @ b @ X0)) = $true) & (((relati1010904253t_back @ (list @ char > int) @ p @ b @ c @ (suc @ ka) @ X0 @ X1)) = $true))),
% 3.54/1.02 inference(fool_elimination,[],[f667])).
% 3.54/1.02 thf(f855,plain,(
% 3.54/1.02 ! [X0 : (list @ char > int),X1 : (list @ char > int)] : ((((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ X1) @ t_a)) != $true) | (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ X0) @ ta)) != $true) | (((bval @ b @ X0)) != $true) | (((relati1010904253t_back @ (list @ char > int) @ p @ b @ c @ (suc @ ka) @ X0 @ X1)) != $true))),
% 3.54/1.02 inference(ennf_transformation,[],[f668])).
% 3.54/1.02 thf(f930,plain,(
% 3.54/1.02 (((bval @ b @ sa)) = $true)),
% 3.54/1.02 inference(cnf_transformation,[],[f292])).
% 3.54/1.02 thf(f932,plain,(
% 3.54/1.02 (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ sa) @ ta)) = $true)),
% 3.54/1.02 inference(cnf_transformation,[],[f296])).
% 3.54/1.02 thf(f933,plain,(
% 3.54/1.02 (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ s_a) @ t_a)) = $true)),
% 3.54/1.02 inference(cnf_transformation,[],[f298])).
% 3.54/1.02 thf(f934,plain,(
% 3.54/1.02 (((relati1010904253t_back @ (list @ char > int) @ p @ b @ c @ (suc @ ka) @ sa @ s_a)) = $true)),
% 3.54/1.02 inference(cnf_transformation,[],[f300])).
% 3.54/1.02 thf(f1282,plain,(
% 3.54/1.02 ( ! [X0 : (list @ char > int),X1 : (list @ char > int)] : ((((relati1010904253t_back @ (list @ char > int) @ p @ b @ c @ (suc @ ka) @ X0 @ X1)) != $true) | (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ X0) @ ta)) != $true) | (((bval @ b @ X0)) != $true) | (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ X1) @ t_a)) != $true)) )),
% 3.54/1.02 inference(cnf_transformation,[],[f855])).
% 3.54/1.02 thf(f11419,plain,(
% 3.54/1.02 ($true != $true) | (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ sa) @ ta)) != $true) | (((bval @ b @ sa)) != $true) | (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ s_a) @ t_a)) != $true)),
% 3.54/1.02 inference(constrained_superposition,[],[f1282,f934])).
% 3.54/1.02 thf(f11425,plain,(
% 3.54/1.02 (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ sa) @ ta)) != $true) | (((bval @ b @ sa)) != $true) | (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ s_a) @ t_a)) != $true)),
% 3.54/1.02 inference(trivial_inequality_removal,[],[f11419])).
% 3.54/1.02 thf(f11458,plain,(
% 3.54/1.02 (((bval @ b @ sa)) != $true) | (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ s_a) @ t_a)) != $true)),
% 3.54/1.02 inference(forward_subsumption_resolution,[],[f11425,f932])).
% 3.54/1.02 thf(f11459,plain,(
% 3.54/1.02 (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ s_a) @ t_a)) != $true)),
% 3.54/1.02 inference(forward_subsumption_resolution,[],[f11458,f930])).
% 3.54/1.02 thf(f11460,plain,(
% 3.54/1.02 $false),
% 3.54/1.02 inference(forward_subsumption_resolution,[],[f11459,f933])).
% 3.54/1.02 % SZS output end Proof for theBenchmark
% 3.54/1.02 % (3145611)------------------------------
% 3.54/1.02 % (3145611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/1.02 % (3145611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.02 % (3145611)CaDiCaL version: 2.1.3
% 3.54/1.02 % (3145611)Termination reason: Refutation
% 3.54/1.02 % (3145611)Time elapsed: 0.692 s
% 3.54/1.02 % (3145611)Peak memory usage: 21 MB
% 3.54/1.02 % (3145611)Instructions burned: 1428 (million)
% 3.54/1.02 % (3145605)Success in time 0.751 s
% 3.54/1.02 % Vampire exiting
%------------------------------------------------------------------------------