%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP166^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 1.54s 0.56s
% Output : Refutation 1.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP166^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n002.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 20:07:23 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.54/0.56 % (1786201)Will run a generic schedule for satisfiability detection.
% 1.54/0.56 % (1786207)% WARNING: option uhcvi not known.
% 1.54/0.56 % (1786209)dis+10_1_sil=32000:sp=arity:random_seed=2192634689:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.54/0.56 % (1786206)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2579499224_2999 on theBenchmark for (2999ds/0Mi)
% 1.54/0.56 % (1786208)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2764615552:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.54/0.56 % (1786207)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4197905322:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.54/0.56 % (1786210)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1207552062:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.54/0.56 % (1786212)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=233760166:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.54/0.56 % (1786211)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2159366084:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.54/0.56 % (1786210)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.54/0.56 % (1786207)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.54/0.56 % (1786209)Instruction limit reached!
% 1.54/0.56 % (1786209)------------------------------
% 1.54/0.56 % (1786209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.56 % (1786209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.56 % (1786209)CaDiCaL version: 2.1.3
% 1.54/0.56 % (1786209)Termination reason: Instruction limit
% 1.54/0.56 % (1786209)Termination phase: Property scanning
% 1.54/0.56 % (1786209)Time elapsed: 0.043 s
% 1.54/0.56 % (1786209)Peak memory usage: 11 MB
% 1.54/0.56 % (1786209)Instructions burned: 104 (million)
% 1.54/0.56 % Exception at run slice level
% 1.54/0.56 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.54/0.56 % (1786207)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.54/0.56 % (1786211)Instruction limit reached!
% 1.54/0.56 % (1786211)------------------------------
% 1.54/0.56 % (1786211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.56 % (1786211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.56 % (1786211)CaDiCaL version: 2.1.3
% 1.54/0.56 % (1786211)Termination reason: Instruction limit
% 1.54/0.56 % (1786211)Termination phase: Saturation
% 1.54/0.56 % (1786211)Time elapsed: 0.055 s
% 1.54/0.56 % (1786211)Peak memory usage: 12 MB
% 1.54/0.56 % (1786211)Instructions burned: 132 (million)
% 1.54/0.56 % (1786210)Instruction limit reached!
% 1.54/0.56 % (1786210)------------------------------
% 1.54/0.56 % (1786210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.56 % (1786210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.56 % (1786210)CaDiCaL version: 2.1.3
% 1.54/0.56 % (1786210)Termination reason: Instruction limit
% 1.54/0.56 % (1786210)Termination phase: Saturation
% 1.54/0.56 % (1786210)Time elapsed: 0.061 s
% 1.54/0.56 % (1786210)Peak memory usage: 12 MB
% 1.54/0.56 % (1786210)Instructions burned: 123 (million)
% 1.54/0.56 % (1786220)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2104704095:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.54/0.56 % (1786221)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4243329304:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.54/0.56 % (1786212)Instruction limit reached!
% 1.54/0.56 % (1786212)------------------------------
% 1.54/0.56 % (1786212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.56 % (1786212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.56 % (1786212)CaDiCaL version: 2.1.3
% 1.54/0.56 % (1786212)Termination reason: Instruction limit
% 1.54/0.56 % (1786212)Termination phase: Saturation
% 1.54/0.56 % (1786212)Time elapsed: 0.067 s
% 1.54/0.56 % (1786212)Peak memory usage: 13 MB
% 1.54/0.56 % (1786212)Instructions burned: 160 (million)
% 1.54/0.56 % (1786222)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=1627215892:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.54/0.56 % (1786223)ott-21_1_sil=16000:fs=off:random_seed=3146407638:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.54/0.56 % (1786226)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2438128316:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.54/0.56 % (1786222)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.54/0.56 % Exception at run slice level
% 1.54/0.56 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.54/0.56 % (1786221)Instruction limit reached!
% 1.54/0.56 % (1786221)------------------------------
% 1.54/0.56 % (1786221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.56 % (1786221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.56 % (1786221)CaDiCaL version: 2.1.3
% 1.54/0.56 % (1786221)Termination reason: Instruction limit
% 1.54/0.56 % (1786221)Termination phase: Saturation
% 1.54/0.56 % (1786221)Time elapsed: 0.055 s
% 1.54/0.56 % (1786221)Peak memory usage: 12 MB
% 1.54/0.56 % (1786221)Instructions burned: 132 (million)
% 1.54/0.56 % (1786222)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.54/0.56 % (1786230)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=168605902:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.54/0.56 % (1786231)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2541172845:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.54/0.56 % (1786223)Instruction limit reached!
% 1.54/0.56 % (1786223)------------------------------
% 1.54/0.56 % (1786223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.56 % (1786223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.56 % (1786223)CaDiCaL version: 2.1.3
% 1.54/0.56 % (1786223)Termination reason: Instruction limit
% 1.54/0.56 % (1786223)Termination phase: Saturation
% 1.54/0.56 % (1786223)Time elapsed: 0.076 s
% 1.54/0.56 % (1786223)Peak memory usage: 13 MB
% 1.54/0.56 % (1786223)Instructions burned: 180 (million)
% 1.54/0.56 % (1786234)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1494080920:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 1.54/0.56 % Exception at run slice level
% 1.54/0.56 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.54/0.56 % (1786236)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=4169149644: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)
% 1.54/0.56 % (1786236)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.54/0.56 % Exception at run slice level
% 1.54/0.56 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.54/0.56 % (1786238)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=127066229:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 1.54/0.56 % (1786207) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1786201-1786207"...
% 1.54/0.56 % (1786238)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.54/0.56 % (1786207)...printing done.
% 1.54/0.56 % (1786207)Refutation found. Thanks to Tanya!
% 1.54/0.56 % SZS status Theorem for theBenchmark
% 1.54/0.56 % SZS output start Proof for theBenchmark
% 1.54/0.56 thf(type_def_5, type, set_Pr1333062727ar_int: $tType).
% 1.54/0.56 thf(type_def_6, type, produc1346207591ar_int: $tType).
% 1.54/0.56 thf(type_def_7, type, set_li1762364675ar_int: $tType).
% 1.54/0.56 thf(type_def_8, type, set_Pr446800905yperep: $tType).
% 1.54/0.56 thf(type_def_9, type, list_P1741976099ar_int: $tType).
% 1.54/0.56 thf(type_def_10, type, set_Pr1148378109ar_int: $tType).
% 1.54/0.56 thf(type_def_11, type, set_Pr1560408065st_nat: $tType).
% 1.54/0.56 thf(type_def_12, type, produc490010537yperep: $tType).
% 1.54/0.56 thf(type_def_13, type, produc1260470173ar_int: $tType).
% 1.54/0.56 thf(type_def_14, type, produc1699244961st_nat: $tType).
% 1.54/0.56 thf(type_def_15, type, set_Pr1097818217yperep: $tType).
% 1.54/0.56 thf(type_def_16, type, set_Pr1986765409at_nat: $tType).
% 1.54/0.56 thf(type_def_17, type, produc1788831497yperep: $tType).
% 1.54/0.56 thf(type_def_18, type, product_prod_nat_nat: $tType).
% 1.54/0.56 thf(type_def_19, type, set_list_typerep: $tType).
% 1.54/0.56 thf(type_def_20, type, list_typerep: $tType).
% 1.54/0.56 thf(type_def_21, type, set_typerep: $tType).
% 1.54/0.56 thf(type_def_22, type, list_char: $tType).
% 1.54/0.56 thf(type_def_23, type, list_nat: $tType).
% 1.54/0.56 thf(type_def_24, type, set_nat: $tType).
% 1.54/0.56 thf(type_def_25, type, typerep: $tType).
% 1.54/0.56 thf(type_def_26, type, literal: $tType).
% 1.54/0.56 thf(type_def_27, type, bexp: $tType).
% 1.54/0.56 thf(type_def_28, type, aexp: $tType).
% 1.54/0.56 thf(type_def_29, type, nat: $tType).
% 1.54/0.56 thf(type_def_30, type, int: $tType).
% 1.54/0.56 thf(type_def_31, type, com: $tType).
% 1.54/0.56 thf(type_def_32, type, sTfun: ($tType * $tType) > $tType).
% 1.54/0.56 thf(func_def_0, type, bval: (bexp > (list_char > int) > $o)).
% 1.54/0.56 thf(func_def_1, type, bNF_Gr457912949yperep: (set_list_typerep > typerep > set_list_typerep)).
% 1.54/0.56 thf(func_def_2, type, bNF_Gr1303086585yperep: (set_list_typerep > list_typerep > set_typerep)).
% 1.54/0.56 thf(func_def_3, type, bNF_Gr202451329ar_int: (set_Pr1148378109ar_int > (produc1260470173ar_int > com) > (produc1260470173ar_int > list_char > int) > set_Pr1148378109ar_int)).
% 1.54/0.56 thf(func_def_4, type, bNF_Gr749752805at_nat: (set_Pr1148378109ar_int > (produc1260470173ar_int > nat) > (produc1260470173ar_int > nat) > set_Pr1986765409at_nat)).
% 1.54/0.56 thf(func_def_5, type, bNF_Gr1247133574at_nat: (set_Pr1986765409at_nat > (nat > nat) > set_Pr1986765409at_nat)).
% 1.54/0.56 thf(func_def_6, type, bNF_Gr808751971at_nat: (set_nat > set_Pr1986765409at_nat > (nat > nat) > set_Pr1986765409at_nat)).
% 1.54/0.56 thf(func_def_7, type, bNF_Gr1143394412nt_nat: (set_Pr1148378109ar_int > set_Pr1986765409at_nat > (produc1260470173ar_int > nat) > set_Pr1333062727ar_int)).
% 1.54/0.56 thf(func_def_8, type, big_big_step: (produc1260470173ar_int > (list_char > int) > $o)).
% 1.54/0.56 thf(func_def_9, type, assign: (list_char > aexp > com)).
% 1.54/0.56 thf(func_def_10, type, if: (bexp > com > com > com)).
% 1.54/0.56 thf(func_def_11, type, skip: com).
% 1.54/0.56 thf(func_def_12, type, seq: (com > com > com)).
% 1.54/0.56 thf(func_def_13, type, while: (bexp > com > com)).
% 1.54/0.56 thf(func_def_14, type, size_com: (com > nat)).
% 1.54/0.56 thf(func_def_15, type, unique1592618082ux_nat: (product_prod_nat_nat > $o)).
% 1.54/0.56 thf(func_def_16, type, plus_plus_nat: (nat > nat > nat)).
% 1.54/0.56 thf(func_def_17, type, zero_zero_nat: nat).
% 1.54/0.56 thf(func_def_18, type, append_nat: (list_nat > list_nat > list_nat)).
% 1.54/0.56 thf(func_def_19, type, append_typerep: (list_typerep > list_typerep > list_typerep)).
% 1.54/0.56 thf(func_def_20, type, gen_length_typerep: (nat > list_typerep > nat)).
% 1.54/0.56 thf(func_def_21, type, lex_nat: (set_Pr1986765409at_nat > set_Pr1560408065st_nat)).
% 1.54/0.56 thf(func_def_22, type, lex_typerep: (set_Pr1097818217yperep > set_Pr446800905yperep)).
% 1.54/0.56 thf(func_def_23, type, lexord_nat: (set_Pr1986765409at_nat > set_Pr1560408065st_nat)).
% 1.54/0.56 thf(func_def_24, type, lexord_typerep: (set_Pr1097818217yperep > set_Pr446800905yperep)).
% 1.54/0.56 thf(func_def_25, type, cons_nat: (nat > list_nat > list_nat)).
% 1.54/0.56 thf(func_def_26, type, cons_P1254790739ar_int: (produc1260470173ar_int > list_P1741976099ar_int > list_P1741976099ar_int)).
% 1.54/0.56 thf(func_def_27, type, cons_typerep: (typerep > list_typerep > list_typerep)).
% 1.54/0.56 thf(func_def_28, type, size_list_typerep: ((typerep > nat) > list_typerep > nat)).
% 1.54/0.56 thf(func_def_29, type, listrel1_nat: (set_Pr1986765409at_nat > set_Pr1560408065st_nat)).
% 1.54/0.56 thf(func_def_30, type, listrel1_typerep: (set_Pr1097818217yperep > set_Pr446800905yperep)).
% 1.54/0.56 thf(func_def_31, type, set_Co1954412371ar_int: (set_Pr1148378109ar_int > set_li1762364675ar_int > set_li1762364675ar_int)).
% 1.54/0.56 thf(func_def_32, type, set_Cons_typerep: (set_typerep > set_list_typerep > set_list_typerep)).
% 1.54/0.56 thf(func_def_33, type, suc: (nat > nat)).
% 1.54/0.56 thf(func_def_34, type, size_size_com: (com > nat)).
% 1.54/0.56 thf(func_def_35, type, size_size_list_nat: (list_nat > nat)).
% 1.54/0.56 thf(func_def_36, type, size_s416147576yperep: (list_typerep > nat)).
% 1.54/0.56 thf(func_def_37, type, size_size_typerep: (typerep > nat)).
% 1.54/0.56 thf(func_def_38, type, produc1193801173ar_int: (com > (list_char > int) > produc1260470173ar_int)).
% 1.54/0.56 thf(func_def_39, type, produc1625736153st_nat: (list_nat > list_nat > produc1699244961st_nat)).
% 1.54/0.56 thf(func_def_40, type, produc1695567329yperep: (list_typerep > list_typerep > produc490010537yperep)).
% 1.54/0.56 thf(func_def_41, type, product_Pair_nat_nat: (nat > nat > product_prod_nat_nat)).
% 1.54/0.56 thf(func_def_42, type, produc317451735ar_int: (produc1260470173ar_int > produc1260470173ar_int > produc1346207591ar_int)).
% 1.54/0.56 thf(func_def_43, type, produc2071514689yperep: (typerep > typerep > produc1788831497yperep)).
% 1.54/0.56 thf(func_def_44, type, relati186416454e_flip: (((list_char > int) > (list_char > int) > $o) > (list_char > int) > (list_char > int) > $o)).
% 1.54/0.56 thf(func_def_45, type, relati23543761ar_int: (((list_char > int) > (list_char > int) > $o) > bexp > com > nat > (list_char > int) > (list_char > int) > $o)).
% 1.54/0.56 thf(func_def_46, type, relati2102071307_hoare: (((list_char > int) > (list_char > int) > $o) > com > com > ((list_char > int) > (list_char > int) > $o) > $o)).
% 1.54/0.56 thf(func_def_47, type, relati775585786_valid: (((list_char > int) > (list_char > int) > $o) > com > com > ((list_char > int) > (list_char > int) > $o) > $o)).
% 1.54/0.56 thf(func_def_48, type, collec672902542ar_int: ((list_P1741976099ar_int > $o) > set_li1762364675ar_int)).
% 1.54/0.56 thf(func_def_49, type, collect_list_typerep: ((list_typerep > $o) > set_list_typerep)).
% 1.54/0.56 thf(func_def_50, type, collec770796680ar_int: ((produc1260470173ar_int > $o) > set_Pr1148378109ar_int)).
% 1.54/0.56 thf(func_def_51, type, collec7649004at_nat: ((product_prod_nat_nat > $o) > set_Pr1986765409at_nat)).
% 1.54/0.56 thf(func_def_52, type, collec1834387154ar_int: ((produc1346207591ar_int > $o) > set_Pr1333062727ar_int)).
% 1.54/0.56 thf(func_def_53, type, typerep2: (literal > list_typerep > typerep)).
% 1.54/0.56 thf(func_def_54, type, size_typerep: (typerep > nat)).
% 1.54/0.56 thf(func_def_55, type, member2052091212ar_int: (list_P1741976099ar_int > set_li1762364675ar_int > $o)).
% 1.54/0.56 thf(func_def_56, type, member_list_typerep: (list_typerep > set_list_typerep > $o)).
% 1.54/0.56 thf(func_def_57, type, member_nat: (nat > set_nat > $o)).
% 1.54/0.56 thf(func_def_58, type, member92250950ar_int: (produc1260470173ar_int > set_Pr1148378109ar_int > $o)).
% 1.54/0.56 thf(func_def_59, type, member1926390090st_nat: (produc1699244961st_nat > set_Pr1560408065st_nat > $o)).
% 1.54/0.56 thf(func_def_60, type, member1812711762yperep: (produc490010537yperep > set_Pr446800905yperep > $o)).
% 1.54/0.56 thf(func_def_61, type, member701585322at_nat: (product_prod_nat_nat > set_Pr1986765409at_nat > $o)).
% 1.54/0.56 thf(func_def_62, type, member100911538yperep: (produc1788831497yperep > set_Pr1097818217yperep > $o)).
% 1.54/0.56 thf(func_def_63, type, member_typerep: (typerep > set_typerep > $o)).
% 1.54/0.56 thf(func_def_64, type, p: ((list_char > int) > (list_char > int) > $o)).
% 1.54/0.56 thf(func_def_65, type, q: ((list_char > int) > (list_char > int) > $o)).
% 1.54/0.56 thf(func_def_66, type, b: bexp).
% 1.54/0.56 thf(func_def_67, type, c: com).
% 1.54/0.56 thf(func_def_68, type, c2: com).
% 1.54/0.56 thf(func_def_69, type, k: nat).
% 1.54/0.56 thf(func_def_70, type, ka: nat).
% 1.54/0.56 thf(func_def_71, type, s: (list_char > int)).
% 1.54/0.56 thf(func_def_72, type, s_a: (list_char > int)).
% 1.54/0.56 thf(func_def_73, type, s2: (list_char > int)).
% 1.54/0.56 thf(func_def_74, type, sa: (list_char > int)).
% 1.54/0.56 thf(func_def_75, type, t: (list_char > int)).
% 1.54/0.56 thf(func_def_76, type, t_a: (list_char > int)).
% 1.54/0.56 thf(func_def_77, type, t2: (list_char > int)).
% 1.54/0.56 thf(func_def_78, type, ta: (list_char > int)).
% 1.54/0.56 thf(func_def_79, type, u: (list_char > int)).
% 1.54/0.56 thf(func_def_80, type, ua: (list_char > int)).
% 1.54/0.56 thf(func_def_84, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.54/0.56 thf(func_def_85, type, vAND: ($o > $o > $o)).
% 1.54/0.56 thf(func_def_86, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.54/0.56 thf(func_def_87, type, db0: !>[X0: $tType]:(X0)).
% 1.54/0.56 thf(func_def_88, type, db1: !>[X0: $tType]:(X0)).
% 1.54/0.56 thf(func_def_89, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.54/0.56 thf(func_def_90, type, vOR: ($o > $o > $o)).
% 1.54/0.56 thf(func_def_91, type, vIMP: ($o > $o > $o)).
% 1.54/0.56 thf(func_def_92, type, db2: !>[X0: $tType]:(X0)).
% 1.54/0.56 thf(func_def_93, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.54/0.56 thf(func_def_94, type, db7: !>[X0: $tType]:(X0)).
% 1.54/0.56 thf(func_def_95, type, db6: !>[X0: $tType]:(X0)).
% 1.54/0.56 thf(func_def_96, type, db5: !>[X0: $tType]:(X0)).
% 1.54/0.56 thf(func_def_97, type, db3: !>[X0: $tType]:(X0)).
% 1.54/0.56 thf(func_def_98, type, vNOT: ($o > $o)).
% 1.54/0.56 thf(func_def_99, type, db4: !>[X0: $tType]:(X0)).
% 1.54/0.56 thf(func_def_100, type, sP0: ((nat > (list_char > int) > (list_char > int) > $o) > nat > bexp > com > (list_char > int) > com > (list_char > int) > $o)).
% 1.54/0.56 thf(func_def_101, type, sP1: ((com > $o) > $o)).
% 1.54/0.56 thf(func_def_102, type, sK2: ((list_char > int) > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_103, type, sK3: ((list_char > int) > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_104, type, sK4: (((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_105, type, sK5: (((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_106, type, sK6: (((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_107, type, sK7: (((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_108, type, sK8: (com > com > list_char > int)).
% 1.54/0.56 thf(func_def_109, type, sK9: (com > com > list_char > int)).
% 1.54/0.56 thf(func_def_110, type, sK10: (com > com > list_char > int)).
% 1.54/0.56 thf(func_def_111, type, sK11: (com > com > list_char > int)).
% 1.54/0.56 thf(func_def_112, type, sK12: ((list_char > int) > (list_char > int) > com > bexp > list_char > int)).
% 1.54/0.56 thf(func_def_113, type, sK13: ((product_prod_nat_nat > $o) > nat)).
% 1.54/0.56 thf(func_def_114, type, sK14: ((product_prod_nat_nat > $o) > nat)).
% 1.54/0.56 thf(func_def_115, type, sK15: ((produc1260470173ar_int > $o) > com)).
% 1.54/0.56 thf(func_def_116, type, sK16: ((produc1260470173ar_int > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_117, type, sK17: (product_prod_nat_nat > nat)).
% 1.54/0.56 thf(func_def_118, type, sK18: (product_prod_nat_nat > nat)).
% 1.54/0.56 thf(func_def_119, type, sK19: (produc1260470173ar_int > com)).
% 1.54/0.56 thf(func_def_120, type, sK20: (produc1260470173ar_int > list_char > int)).
% 1.54/0.56 thf(func_def_121, type, sK21: ((product_prod_nat_nat > $o) > nat)).
% 1.54/0.56 thf(func_def_122, type, sK22: ((product_prod_nat_nat > $o) > nat)).
% 1.54/0.56 thf(func_def_123, type, sK23: ((produc1260470173ar_int > $o) > com)).
% 1.54/0.56 thf(func_def_124, type, sK24: ((produc1260470173ar_int > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_125, type, sK25: (product_prod_nat_nat > nat)).
% 1.54/0.56 thf(func_def_126, type, sK26: (product_prod_nat_nat > nat)).
% 1.54/0.56 thf(func_def_127, type, sK27: (produc1260470173ar_int > com)).
% 1.54/0.56 thf(func_def_128, type, sK28: (produc1260470173ar_int > list_char > int)).
% 1.54/0.56 thf(func_def_129, type, sK29: (com > com > list_char > int)).
% 1.54/0.56 thf(func_def_130, type, sK30: (com > com > list_char > int)).
% 1.54/0.56 thf(func_def_131, type, sK31: (com > com > list_char > int)).
% 1.54/0.56 thf(func_def_132, type, sK32: (com > com > list_char > int)).
% 1.54/0.56 thf(func_def_133, type, sK33: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_134, type, sK34: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_135, type, sK35: ((nat > (list_char > int) > (list_char > int) > $o) > nat > bexp > com > (list_char > int) > com > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_136, type, sK36: ((nat > (list_char > int) > (list_char > int) > $o) > nat > bexp > com > (list_char > int) > com > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_137, type, sK37: (com > ((list_char > int) > (list_char > int) > $o) > com > bexp > nat > (nat > (list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_138, type, sK38: (com > ((list_char > int) > (list_char > int) > $o) > com > bexp > nat > (nat > (list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_139, type, sK39: (com > bexp > nat > (nat > (list_char > int) > (list_char > int) > $o) > nat)).
% 1.54/0.56 thf(func_def_140, type, sK40: (com > bexp > nat > (nat > (list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_141, type, sK41: (com > bexp > nat > (nat > (list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_142, type, sK42: ((list_char > int) > (list_char > int) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_143, type, sK43: (((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_144, type, sK44: (((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_145, type, sK45: (((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_146, type, sK46: (((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_147, type, sK47: (((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_148, type, sK48: (((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_149, type, sK49: (((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_150, type, sK50: (((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_151, type, sK51: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_152, type, sK52: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_153, type, sK53: (com > bexp)).
% 1.54/0.56 thf(func_def_154, type, sK54: (com > com)).
% 1.54/0.56 thf(func_def_155, type, sK55: (com > bexp)).
% 1.54/0.56 thf(func_def_156, type, sK56: (com > com)).
% 1.54/0.56 thf(func_def_157, type, sK57: (com > com)).
% 1.54/0.56 thf(func_def_158, type, sK58: (com > com)).
% 1.54/0.56 thf(func_def_159, type, sK59: (com > com)).
% 1.54/0.56 thf(func_def_160, type, sK60: (com > list_char)).
% 1.54/0.56 thf(func_def_161, type, sK61: (com > aexp)).
% 1.54/0.56 thf(func_def_162, type, sK62: ((com > $o) > com)).
% 1.54/0.56 thf(func_def_163, type, sK63: ((com > $o) > com)).
% 1.54/0.56 thf(func_def_164, type, sK64: ((com > $o) > bexp)).
% 1.54/0.56 thf(func_def_165, type, sK65: ((com > $o) > com)).
% 1.54/0.56 thf(func_def_166, type, sK66: ((com > $o) > bexp)).
% 1.54/0.56 thf(func_def_167, type, sK67: ((com > $o) > com)).
% 1.54/0.56 thf(func_def_168, type, sK68: ((com > $o) > com)).
% 1.54/0.56 thf(func_def_169, type, sK69: ((com > $o) > list_char)).
% 1.54/0.56 thf(func_def_170, type, sK70: ((com > $o) > aexp)).
% 1.54/0.56 thf(func_def_171, type, sK71: (com > bexp > (nat > (list_char > int) > (list_char > int) > $o) > nat)).
% 1.54/0.56 thf(func_def_172, type, sK72: ((nat > $o) > nat)).
% 1.54/0.56 thf(func_def_173, type, sK73: ((nat > nat > $o) > nat)).
% 1.54/0.56 thf(func_def_174, type, sK74: ((nat > nat > $o) > nat)).
% 1.54/0.56 thf(func_def_175, type, sK75: ((nat > nat > $o) > nat)).
% 1.54/0.56 thf(func_def_176, type, sK76: ((nat > nat > $o) > nat)).
% 1.54/0.56 thf(func_def_177, type, sK77: ((nat > $o) > nat)).
% 1.54/0.56 thf(func_def_178, type, sK78: (nat > nat)).
% 1.54/0.56 thf(func_def_179, type, sK79: ((nat > $o) > nat)).
% 1.54/0.56 thf(func_def_180, type, sK80: (nat > nat)).
% 1.54/0.56 thf(func_def_181, type, sK81: (com > bexp > (nat > (list_char > int) > (list_char > int) > $o) > nat)).
% 1.54/0.56 thf(func_def_182, type, sK82: ((nat > nat > $o) > nat)).
% 1.54/0.56 thf(func_def_183, type, sK83: ((nat > nat > $o) > nat)).
% 1.54/0.56 thf(func_def_184, type, sK84: ((nat > nat > $o) > nat)).
% 1.54/0.56 thf(func_def_185, type, sK85: ((nat > nat > $o) > nat)).
% 1.54/0.56 thf(func_def_186, type, sK86: ((nat > nat > $o) > nat)).
% 1.54/0.56 thf(func_def_187, type, sK87: (set_Pr1986765409at_nat > nat)).
% 1.54/0.56 thf(func_def_188, type, sK88: (set_Pr1986765409at_nat > nat)).
% 1.54/0.56 thf(func_def_189, type, sK89: (set_Pr1986765409at_nat > nat)).
% 1.54/0.56 thf(func_def_190, type, sK90: (set_Pr1097818217yperep > list_typerep > list_typerep > typerep > list_typerep)).
% 1.54/0.56 thf(func_def_191, type, sK91: (set_Pr1097818217yperep > list_typerep > list_typerep > typerep > typerep)).
% 1.54/0.56 thf(func_def_192, type, sK92: (set_Pr1986765409at_nat > list_nat > list_nat > nat > list_nat)).
% 1.54/0.56 thf(func_def_193, type, sK93: (set_Pr1986765409at_nat > list_nat > list_nat > nat > nat)).
% 1.54/0.56 thf(func_def_194, type, sK94: (set_Pr1097818217yperep > list_typerep > typerep > list_typerep > list_typerep)).
% 1.54/0.56 thf(func_def_195, type, sK95: (set_Pr1097818217yperep > list_typerep > typerep > list_typerep > typerep)).
% 1.54/0.56 thf(func_def_196, type, sK96: (set_Pr1986765409at_nat > list_nat > nat > list_nat > list_nat)).
% 1.54/0.56 thf(func_def_197, type, sK97: (set_Pr1986765409at_nat > list_nat > nat > list_nat > nat)).
% 1.54/0.56 thf(func_def_198, type, sK98: (set_Pr1097818217yperep > typerep)).
% 1.54/0.56 thf(func_def_199, type, sK99: (set_Pr1986765409at_nat > nat)).
% 1.54/0.56 thf(func_def_200, type, sK100: (list_typerep > nat > list_typerep)).
% 1.54/0.56 thf(func_def_201, type, sK101: (list_typerep > nat > typerep)).
% 1.54/0.56 thf(func_def_202, type, sK102: (nat > list_typerep > list_typerep)).
% 1.54/0.56 thf(func_def_203, type, sK103: (nat > list_typerep > typerep)).
% 1.54/0.56 thf(func_def_204, type, sK104: (bexp > com > (nat > (list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_205, type, sK105: (bexp > com > (nat > (list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_206, type, sK106: (bexp > com > (nat > (list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_207, type, sK107: (bexp > com > (nat > (list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_208, type, sK108: (bexp > (list_char > int) > (list_char > int) > (nat > (list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_209, type, sK109: (bexp > (list_char > int) > (nat > (list_char > int) > (list_char > int) > $o) > com > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_210, type, sK110: (bexp > (list_char > int) > (list_char > int) > (nat > (list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_211, type, sK111: (bexp > (list_char > int) > (nat > (list_char > int) > (list_char > int) > $o) > com > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_212, type, sK112: (bexp > (list_char > int) > (list_char > int) > (nat > (list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_213, type, sK113: (bexp > (list_char > int) > (nat > (list_char > int) > (list_char > int) > $o) > com > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_214, type, sK114: (bexp > (list_char > int) > (list_char > int) > (nat > (list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_215, type, sK115: (bexp > (list_char > int) > (nat > (list_char > int) > (list_char > int) > $o) > com > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_216, type, sK116: (com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_217, type, sK117: (com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_218, type, sK118: (((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_219, type, sK119: (((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_220, type, sK120: (bexp > com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_221, type, sK121: (bexp > com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_222, type, sK122: ((list_char > int) > bexp > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_223, type, sK123: ((list_char > int) > bexp > com > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_224, type, sK124: ((list_char > int) > bexp > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_225, type, sK125: ((list_char > int) > bexp > com > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_226, type, sK126: (bexp > com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_227, type, sK127: (bexp > com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_228, type, sK128: ((list_char > int) > bexp > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_229, type, sK129: ((list_char > int) > bexp > com > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_230, type, sK130: ((list_char > int) > bexp > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_231, type, sK131: ((list_char > int) > bexp > com > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_232, type, sK132: (bexp > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_233, type, sK133: (bexp > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_234, type, sK134: ((list_char > int) > bexp > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_235, type, sK135: ((list_char > int) > bexp > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_236, type, sK136: ((list_char > int) > bexp > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_237, type, sK137: ((list_char > int) > bexp > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_238, type, sK138: (bexp > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_239, type, sK139: (bexp > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_240, type, sK140: ((list_char > int) > bexp > com > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_241, type, sK141: ((list_char > int) > bexp > com > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_242, type, sK142: ((list_char > int) > bexp > com > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_243, type, sK143: ((list_char > int) > bexp > com > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_244, type, sK144: (bexp > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > nat > com > list_char > int)).
% 1.54/0.56 thf(func_def_245, type, sK145: (bexp > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > nat > com > list_char > int)).
% 1.54/0.56 thf(func_def_246, type, sK146: ((list_char > int) > bexp > nat > ((list_char > int) > (list_char > int) > $o) > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_247, type, sK147: ((list_char > int) > bexp > nat > ((list_char > int) > (list_char > int) > $o) > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_248, type, sK148: ((list_char > int) > bexp > nat > ((list_char > int) > (list_char > int) > $o) > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_249, type, sK149: ((list_char > int) > bexp > nat > ((list_char > int) > (list_char > int) > $o) > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_250, type, sK150: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_251, type, sK151: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_252, type, sK152: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_253, type, sK153: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_254, type, sK154: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_255, type, sK155: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_256, type, sK156: (com > com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_257, type, sK157: (com > com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_258, type, sK158: (com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_259, type, sK159: (com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_260, type, sK160: (com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_261, type, sK161: (com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_262, type, sK162: (com > com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_263, type, sK163: (com > com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_264, type, sK164: (com > (list_char > int) > com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_265, type, sK165: (com > com > ((list_char > int) > (list_char > int) > $o) > com > ((list_char > int) > (list_char > int) > $o) > (list_char > int) > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_266, type, sK166: (com > (list_char > int) > com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_267, type, sK167: (com > (list_char > int) > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_268, type, sK168: (com > com > com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > (list_char > int) > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_269, type, sK169: (com > (list_char > int) > com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_270, type, sK170: (com > com > ((list_char > int) > (list_char > int) > $o) > com > ((list_char > int) > (list_char > int) > $o) > (list_char > int) > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_271, type, sK171: (com > (list_char > int) > com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_272, type, sK172: (com > (list_char > int) > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_273, type, sK173: (com > com > com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > (list_char > int) > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_274, type, sK174: (((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_275, type, sK175: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_276, type, sK176: (((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_277, type, sK177: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_278, type, sK178: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_279, type, sK179: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_280, type, sK180: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_281, type, sK181: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_282, type, sK182: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_283, type, sK183: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_284, type, sK184: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_285, type, sK185: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_286, type, sK186: (((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_287, type, sK187: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_288, type, sK188: (((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_289, type, sK189: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > list_char > int)).
% 1.54/0.56 thf(func_def_290, type, sK190: ((list_char > int) > com > com > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_291, type, sK191: ((list_char > int) > com > com > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_292, type, sK192: ((list_char > int) > com > com > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_293, type, sK193: ((list_char > int) > com > com > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_294, type, sK194: ((list_char > int) > com > com > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_295, type, sK195: ((list_char > int) > com > com > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_296, type, sK196: ((list_char > int) > com > com > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_297, type, sK197: ((list_char > int) > com > com > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_298, type, sK198: (((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_299, type, sK199: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_300, type, sK200: (((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_301, type, sK201: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_302, type, sK202: ((list_char > int) > com > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_303, type, sK203: ((list_char > int) > com > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_304, type, sK204: ((list_char > int) > com > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_305, type, sK205: ((list_char > int) > com > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_306, type, sK206: ((list_char > int) > com > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_307, type, sK207: ((list_char > int) > com > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_308, type, sK208: ((list_char > int) > com > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_309, type, sK209: ((list_char > int) > com > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_310, type, sK210: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_311, type, sK211: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_312, type, sK212: (com > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_313, type, sK213: (com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_314, type, sK214: (com > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_315, type, sK215: (com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_316, type, sK216: (((list_char > int) > (list_char > int) > $o) > (list_char > int) > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_317, type, sK217: (((list_char > int) > (list_char > int) > $o) > (list_char > int) > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_318, type, sK218: (((list_char > int) > (list_char > int) > $o) > (list_char > int) > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_319, type, sK219: (((list_char > int) > (list_char > int) > $o) > (list_char > int) > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_320, type, sK220: (bexp > com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_321, type, sK221: (bexp > com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_322, type, sK222: (bexp > (list_char > int) > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_323, type, sK223: (bexp > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_324, type, sK224: (bexp > (list_char > int) > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_325, type, sK225: (bexp > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_326, type, sK226: (bexp > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_327, type, sK227: (bexp > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_328, type, sK228: (bexp > (list_char > int) > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_329, type, sK229: (bexp > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_330, type, sK230: (bexp > (list_char > int) > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > com > list_char > int)).
% 1.54/0.56 thf(func_def_331, type, sK231: (bexp > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_332, type, sK232: (bexp > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > nat > com > list_char > int)).
% 1.54/0.56 thf(func_def_333, type, sK233: (bexp > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > nat > com > list_char > int)).
% 1.54/0.56 thf(func_def_334, type, sK234: ((list_char > int) > bexp > nat > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_335, type, sK235: ((list_char > int) > bexp > nat > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_336, type, sK236: ((list_char > int) > bexp > nat > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_337, type, sK237: ((list_char > int) > bexp > nat > ((list_char > int) > (list_char > int) > $o) > com > (list_char > int) > com > list_char > int)).
% 1.54/0.56 thf(func_def_338, type, sK238: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_339, type, sK239: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_340, type, sK240: (com > (list_char > int) > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_341, type, sK241: (com > (list_char > int) > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_342, type, sK242: (com > (list_char > int) > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_343, type, sK243: (com > (list_char > int) > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_344, type, sK244: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_345, type, sK245: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_346, type, sK246: (com > (list_char > int) > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_347, type, sK247: (com > (list_char > int) > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_348, type, sK248: (com > (list_char > int) > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_349, type, sK249: (com > (list_char > int) > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_350, type, sK250: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_351, type, sK251: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_352, type, sK252: (com > (list_char > int) > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_353, type, sK253: (com > (list_char > int) > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_354, type, sK254: (com > (list_char > int) > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_355, type, sK255: (com > (list_char > int) > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_356, type, sK256: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_357, type, sK257: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_358, type, sK258: (com > (list_char > int) > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_359, type, sK259: (com > (list_char > int) > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_360, type, sK260: (com > (list_char > int) > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_361, type, sK261: (com > (list_char > int) > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_362, type, sK262: ((list_char > int) > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_363, type, sK263: ((list_char > int) > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_364, type, sK264: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_365, type, sK265: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_366, type, sK266: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_367, type, sK267: (com > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_368, type, sK268: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_369, type, sK269: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_370, type, sK270: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_371, type, sK271: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_372, type, sK272: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_373, type, sK273: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_374, type, sK274: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_375, type, sK275: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_376, type, sK276: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_377, type, sK277: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_378, type, sK278: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_379, type, sK279: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_380, type, sK280: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_381, type, sK281: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_382, type, sK282: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_383, type, sK283: ((list_char > int) > com > (list_char > int) > ((list_char > int) > (list_char > int) > $o) > ((list_char > int) > (list_char > int) > $o) > com > list_char > int)).
% 1.54/0.56 thf(func_def_384, type, sK284: (com > com > list_char > int)).
% 1.54/0.56 thf(func_def_385, type, sK285: (com > com > list_char > int)).
% 1.54/0.56 thf(func_def_386, type, sK286: (com > com > list_char > int)).
% 1.54/0.56 thf(func_def_387, type, sK287: (com > com > list_char > int)).
% 1.54/0.56 thf(func_def_388, type, sK288: (list_char > int)).
% 1.54/0.56 thf(func_def_389, type, sK289: (list_char > int)).
% 1.54/0.56 thf(func_def_390, type, sK290: (list_char > int)).
% 1.54/0.56 thf(func_def_391, type, sK291: (list_char > int)).
% 1.54/0.56 thf(func_def_392, type, sK292: (list_char > int)).
% 1.54/0.56 thf(func_def_393, type, sK293: (list_char > int)).
% 1.54/0.56 thf(func_def_394, type, sK294: (list_char > int)).
% 1.54/0.56 thf(func_def_395, type, sK295: (list_char > int)).
% 1.54/0.56 thf(func_def_396, type, sK296: ((list_char > int) > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(func_def_397, type, sK297: ((list_char > int) > (list_char > int) > list_char > int)).
% 1.54/0.56 thf(f1,axiom,(
% 1.54/0.56 (bval @ b @ sa)),
% 1.54/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_Suc_Oprems_I6_J)).
% 1.54/0.56 thf(f3,axiom,(
% 1.54/0.56 (big_big_step @ (produc1193801173ar_int @ c @ sa) @ ta)),
% 1.54/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_Suc_Oprems_I3_J)).
% 1.54/0.56 thf(f4,axiom,(
% 1.54/0.56 (big_big_step @ (produc1193801173ar_int @ c2 @ s_a) @ t_a)),
% 1.54/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_Suc_Oprems_I4_J)).
% 1.54/0.56 thf(f5,axiom,(
% 1.54/0.56 (relati23543761ar_int @ p @ b @ c @ (suc @ ka) @ sa @ s_a)),
% 1.54/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_Suc_Oprems_I7_J)).
% 1.54/0.56 thf(f222,conjecture,(
% 1.54/0.56 ? [X0 : (list_char > int),X1 : (list_char > int)] : ((big_big_step @ (produc1193801173ar_int @ c2 @ X1) @ t_a) & (big_big_step @ (produc1193801173ar_int @ c @ X0) @ ta) & (bval @ b @ X0) & (relati23543761ar_int @ p @ b @ c @ (suc @ ka) @ X0 @ X1))),
% 1.54/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 1.54/0.56 thf(f223,negated_conjecture,(
% 1.54/0.56 ~ ? [X0 : (list_char > int),X1 : (list_char > int)] : ((big_big_step @ (produc1193801173ar_int @ c2 @ X1) @ t_a) & (big_big_step @ (produc1193801173ar_int @ c @ X0) @ ta) & (bval @ b @ X0) & (relati23543761ar_int @ p @ b @ c @ (suc @ ka) @ X0 @ X1))),
% 1.54/0.56 inference(negated_conjecture,[status(cth)],[f222])).
% 1.54/0.56 thf(f224,plain,(
% 1.54/0.56 (bval @ b @ sa)),
% 1.54/0.56 inference(rectify,[],[f1])).
% 1.54/0.56 thf(f225,plain,(
% 1.54/0.56 (((bval @ b @ sa)) = $true)),
% 1.54/0.56 inference(fool_elimination,[],[f224])).
% 1.54/0.56 thf(f228,plain,(
% 1.54/0.56 (big_big_step @ (produc1193801173ar_int @ c @ sa) @ ta)),
% 1.54/0.56 inference(rectify,[],[f3])).
% 1.54/0.56 thf(f229,plain,(
% 1.54/0.56 (((big_big_step @ (produc1193801173ar_int @ c @ sa) @ ta)) = $true)),
% 1.54/0.56 inference(fool_elimination,[],[f228])).
% 1.54/0.56 thf(f230,plain,(
% 1.54/0.56 (big_big_step @ (produc1193801173ar_int @ c2 @ s_a) @ t_a)),
% 1.54/0.56 inference(rectify,[],[f4])).
% 1.54/0.56 thf(f231,plain,(
% 1.54/0.56 (((big_big_step @ (produc1193801173ar_int @ c2 @ s_a) @ t_a)) = $true)),
% 1.54/0.56 inference(fool_elimination,[],[f230])).
% 1.54/0.56 thf(f232,plain,(
% 1.54/0.56 (relati23543761ar_int @ p @ b @ c @ (suc @ ka) @ sa @ s_a)),
% 1.54/0.56 inference(rectify,[],[f5])).
% 1.54/0.56 thf(f233,plain,(
% 1.54/0.56 (((relati23543761ar_int @ p @ b @ c @ (suc @ ka) @ sa @ s_a)) = $true)),
% 1.54/0.56 inference(fool_elimination,[],[f232])).
% 1.54/0.56 thf(f476,plain,(
% 1.54/0.56 ~ ? [X0 : (list_char > int),X1 : (list_char > int)] : ((big_big_step @ (produc1193801173ar_int @ c2 @ X1) @ t_a) & (big_big_step @ (produc1193801173ar_int @ c @ X0) @ ta) & (bval @ b @ X0) & (relati23543761ar_int @ p @ b @ c @ (suc @ ka) @ X0 @ X1))),
% 1.54/0.56 inference(rectify,[],[f223])).
% 1.54/0.56 thf(f477,plain,(
% 1.54/0.56 ~ ? [X0 : (list_char > int),X1 : (list_char > int)] : ((((big_big_step @ (produc1193801173ar_int @ c2 @ X1) @ t_a)) = $true) & (((big_big_step @ (produc1193801173ar_int @ c @ X0) @ ta)) = $true) & (((bval @ b @ X0)) = $true) & (((relati23543761ar_int @ p @ b @ c @ (suc @ ka) @ X0 @ X1)) = $true))),
% 1.54/0.56 inference(fool_elimination,[],[f476])).
% 1.54/0.56 thf(f631,plain,(
% 1.54/0.56 ! [X0 : (list_char > int),X1 : (list_char > int)] : ((((big_big_step @ (produc1193801173ar_int @ c2 @ X1) @ t_a)) != $true) | (((big_big_step @ (produc1193801173ar_int @ c @ X0) @ ta)) != $true) | (((bval @ b @ X0)) != $true) | (((relati23543761ar_int @ p @ b @ c @ (suc @ ka) @ X0 @ X1)) != $true))),
% 1.54/0.56 inference(ennf_transformation,[],[f477])).
% 1.54/0.56 thf(f695,plain,(
% 1.54/0.56 (((bval @ b @ sa)) = $true)),
% 1.54/0.56 inference(cnf_transformation,[],[f225])).
% 1.54/0.56 thf(f697,plain,(
% 1.54/0.56 (((big_big_step @ (produc1193801173ar_int @ c @ sa) @ ta)) = $true)),
% 1.54/0.56 inference(cnf_transformation,[],[f229])).
% 1.54/0.56 thf(f698,plain,(
% 1.54/0.56 (((big_big_step @ (produc1193801173ar_int @ c2 @ s_a) @ t_a)) = $true)),
% 1.54/0.56 inference(cnf_transformation,[],[f231])).
% 1.54/0.56 thf(f699,plain,(
% 1.54/0.56 (((relati23543761ar_int @ p @ b @ c @ (suc @ ka) @ sa @ s_a)) = $true)),
% 1.54/0.56 inference(cnf_transformation,[],[f233])).
% 1.54/0.56 thf(f975,plain,(
% 1.54/0.56 ( ! [X0 : (list_char > int),X1 : (list_char > int)] : ((((relati23543761ar_int @ p @ b @ c @ (suc @ ka) @ X0 @ X1)) != $true) | (((big_big_step @ (produc1193801173ar_int @ c @ X0) @ ta)) != $true) | (((bval @ b @ X0)) != $true) | (((big_big_step @ (produc1193801173ar_int @ c2 @ X1) @ t_a)) != $true)) )),
% 1.54/0.56 inference(cnf_transformation,[],[f631])).
% 1.54/0.56 thf(f977,definition,(
% 1.54/0.56 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 1.54/0.56 introduced(theory,[fool_exhaustiveness_axiom])).
% 1.54/0.56 thf(f2836,plain,(
% 1.54/0.56 ( ! [X0 : (list_char > int),X1 : (list_char > int)] : (($true != $true) | (((big_big_step @ (produc1193801173ar_int @ c @ X0) @ ta)) != $true) | (((bval @ b @ X0)) != $true) | (((big_big_step @ (produc1193801173ar_int @ c2 @ X1) @ t_a)) != $true) | (((relati23543761ar_int @ p @ b @ c @ (suc @ ka) @ X0 @ X1)) = $false)) )),
% 1.54/0.56 inference(constrained_superposition,[],[f975,f977])).
% 1.54/0.56 thf(f2837,plain,(
% 1.54/0.56 ( ! [X0 : (list_char > int),X1 : (list_char > int)] : ((((big_big_step @ (produc1193801173ar_int @ c2 @ X1) @ t_a)) != $true) | (((bval @ b @ X0)) != $true) | (((big_big_step @ (produc1193801173ar_int @ c @ X0) @ ta)) != $true) | (((relati23543761ar_int @ p @ b @ c @ (suc @ ka) @ X0 @ X1)) = $false)) )),
% 1.54/0.56 inference(trivial_inequality_removal,[],[f2836])).
% 1.54/0.56 thf(f4469,plain,(
% 1.54/0.56 ( ! [X0 : (list_char > int)] : (($true != $true) | (((bval @ b @ X0)) != $true) | (((big_big_step @ (produc1193801173ar_int @ c @ X0) @ ta)) != $true) | ($false = ((relati23543761ar_int @ p @ b @ c @ (suc @ ka) @ X0 @ s_a)))) )),
% 1.54/0.56 inference(constrained_superposition,[],[f2837,f698])).
% 1.54/0.56 thf(f4470,plain,(
% 1.54/0.56 ( ! [X0 : (list_char > int)] : ((((big_big_step @ (produc1193801173ar_int @ c @ X0) @ ta)) != $true) | (((bval @ b @ X0)) != $true) | ($false = ((relati23543761ar_int @ p @ b @ c @ (suc @ ka) @ X0 @ s_a)))) )),
% 1.54/0.56 inference(trivial_inequality_removal,[],[f4469])).
% 1.54/0.56 thf(f4615,plain,(
% 1.54/0.56 ($true != $true) | (((bval @ b @ sa)) != $true) | (((relati23543761ar_int @ p @ b @ c @ (suc @ ka) @ sa @ s_a)) = $false)),
% 1.54/0.56 inference(constrained_superposition,[],[f4470,f697])).
% 1.54/0.56 thf(f4616,plain,(
% 1.54/0.56 (((bval @ b @ sa)) != $true) | (((relati23543761ar_int @ p @ b @ c @ (suc @ ka) @ sa @ s_a)) = $false)),
% 1.54/0.56 inference(trivial_inequality_removal,[],[f4615])).
% 1.54/0.56 thf(f4618,plain,(
% 1.54/0.56 (((relati23543761ar_int @ p @ b @ c @ (suc @ ka) @ sa @ s_a)) = $false)),
% 1.54/0.56 inference(forward_subsumption_resolution,[],[f4616,f695])).
% 1.54/0.56 thf(f4663,plain,(
% 1.54/0.56 ($true = $false)),
% 1.54/0.56 inference(forward_demodulation,[],[f699,f4618])).
% 1.54/0.56 thf(f4664,plain,(
% 1.54/0.56 $false),
% 1.54/0.56 inference(trivial_inequality_removal,[],[f4663])).
% 1.54/0.56 % SZS output end Proof for theBenchmark
% 1.54/0.56 % (1786207)------------------------------
% 1.54/0.56 % (1786207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.56 % (1786207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.56 % (1786207)CaDiCaL version: 2.1.3
% 1.54/0.56 % (1786207)Termination reason: Refutation
% 1.54/0.56 % (1786207)Time elapsed: 0.263 s
% 1.54/0.56 % (1786207)Peak memory usage: 17 MB
% 1.54/0.56 % (1786207)Instructions burned: 576 (million)
% 1.54/0.56 % (1786201)Success in time 0.321 s
% 1.54/0.56 % Vampire exiting
%------------------------------------------------------------------------------