%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP058^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 08:08:09 AM UTC 2026
% Result : Theorem 0.31s 0.45s
% Output : Refutation 0.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP058^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n010.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 19:45:03 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.22/0.30 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/0.45 % (3318351)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.31/0.45 % (3318359)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=4091476752:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.31/0.45 % (3318357)lrs+10_16_si=on:nwc=1.5:random_seed=1477192226:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.31/0.45 % (3318356)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3622538025:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.31/0.45 % (3318358)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=12210290:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.31/0.45 % (3318361)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3759533744:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.31/0.45 % (3318358)Instruction limit reached!
% 0.31/0.45 % (3318358)------------------------------
% 0.31/0.45 % (3318358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45 % (3318358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45 % (3318358)CaDiCaL version: 2.1.3
% 0.31/0.45 % (3318358)Termination reason: Instruction limit
% 0.31/0.45 % (3318358)Termination phase: shuffling
% 0.31/0.45 % (3318358)Time elapsed: 0.002 s
% 0.31/0.45 % (3318358)Peak memory usage: 10 MB
% 0.31/0.45 % (3318358)Instructions burned: 4 (million)
% 0.31/0.45 % (3318357)Instruction limit reached!
% 0.31/0.45 % (3318357)------------------------------
% 0.31/0.45 % (3318357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45 % (3318357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45 % (3318357)CaDiCaL version: 2.1.3
% 0.31/0.45 % (3318357)Termination reason: Instruction limit
% 0.31/0.45 % (3318357)Termination phase: shuffling
% 0.31/0.45 % (3318357)Time elapsed: 0.009 s
% 0.31/0.45 % (3318357)Peak memory usage: 10 MB
% 0.31/0.45 % (3318357)Instructions burned: 19 (million)
% 0.31/0.45 % (3318362)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.31/0.45 % (3318362)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.31/0.45 % (3318362)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1679467924:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.31/0.45 % (3318368)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3452515956:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.31/0.45 % (3318360)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1327536657:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.31/0.45 % (3318368)Instruction limit reached!
% 0.31/0.45 % (3318368)------------------------------
% 0.31/0.45 % (3318368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45 % (3318368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45 % (3318368)CaDiCaL version: 2.1.3
% 0.31/0.45 % (3318368)Termination reason: Instruction limit
% 0.31/0.45 % (3318368)Termination phase: shuffling
% 0.31/0.45 % (3318368)Time elapsed: 0.002 s
% 0.31/0.45 % (3318368)Peak memory usage: 10 MB
% 0.31/0.45 % (3318368)Instructions burned: 3 (million)
% 0.31/0.45 % (3318369)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1255467938:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.31/0.45 % (3318369)Instruction limit reached!
% 0.31/0.45 % (3318369)------------------------------
% 0.31/0.45 % (3318369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45 % (3318369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45 % (3318369)CaDiCaL version: 2.1.3
% 0.31/0.45 % (3318369)Termination reason: Instruction limit
% 0.31/0.45 % (3318369)Termination phase: shuffling
% 0.31/0.45 % (3318369)Time elapsed: 0.003 s
% 0.31/0.45 % (3318369)Peak memory usage: 10 MB
% 0.31/0.45 % (3318369)Instructions burned: 5 (million)
% 0.31/0.45 % (3318361)Instruction limit reached!
% 0.31/0.45 % (3318361)------------------------------
% 0.31/0.45 % (3318361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45 % (3318361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45 % (3318361)CaDiCaL version: 2.1.3
% 0.31/0.45 % (3318361)Termination reason: Instruction limit
% 0.31/0.45 % (3318361)Termination phase: Preprocessing 3
% 0.31/0.45 % (3318361)Time elapsed: 0.036 s
% 0.31/0.45 % (3318361)Peak memory usage: 12 MB
% 0.31/0.45 % (3318361)Instructions burned: 75 (million)
% 0.31/0.45 % (3318373)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.31/0.45 % (3318360)Instruction limit reached!
% 0.31/0.45 % (3318360)------------------------------
% 0.31/0.45 % (3318360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45 % (3318360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45 % (3318360)CaDiCaL version: 2.1.3
% 0.31/0.45 % (3318360)Termination reason: Instruction limit
% 0.31/0.45 % (3318360)Termination phase: shuffling
% 0.31/0.45 % (3318360)Time elapsed: 0.018 s
% 0.31/0.45 % (3318360)Peak memory usage: 10 MB
% 0.31/0.45 % (3318360)Instructions burned: 24 (million)
% 0.31/0.45 % (3318356)Instruction limit reached!
% 0.31/0.45 % (3318356)------------------------------
% 0.31/0.45 % (3318356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45 % (3318356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45 % (3318356)CaDiCaL version: 2.1.3
% 0.31/0.45 % (3318356)Termination reason: Instruction limit
% 0.31/0.45 % (3318356)Termination phase: Property scanning
% 0.31/0.45 % (3318356)Time elapsed: 0.043 s
% 0.31/0.45 % (3318356)Peak memory usage: 12 MB
% 0.31/0.45 % (3318356)Instructions burned: 89 (million)
% 0.31/0.45 % (3318373)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=994612163:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.31/0.45 % (3318373)Instruction limit reached!
% 0.31/0.45 % (3318373)------------------------------
% 0.31/0.45 % (3318373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45 % (3318373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45 % (3318373)CaDiCaL version: 2.1.3
% 0.31/0.45 % (3318373)Termination reason: Instruction limit
% 0.31/0.45 % (3318373)Termination phase: shuffling
% 0.31/0.45 % (3318373)Time elapsed: 0.004 s
% 0.31/0.45 % (3318373)Peak memory usage: 10 MB
% 0.31/0.45 % (3318373)Instructions burned: 8 (million)
% 0.31/0.45 % (3318375)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1399033759:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.31/0.45 % (3318376)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.31/0.45 % (3318376)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.31/0.45 % (3318375)Instruction limit reached!
% 0.31/0.45 % (3318375)------------------------------
% 0.31/0.45 % (3318375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45 % (3318375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45 % (3318375)CaDiCaL version: 2.1.3
% 0.31/0.45 % (3318375)Termination reason: Instruction limit
% 0.31/0.45 % (3318375)Termination phase: shuffling
% 0.31/0.45 % (3318375)Time elapsed: 0.006 s
% 0.31/0.45 % (3318375)Peak memory usage: 10 MB
% 0.31/0.45 % (3318375)Instructions burned: 12 (million)
% 0.31/0.45 % (3318376)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2302296572:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.31/0.45 % (3318378)lrs+10_1_si=on:cs=on:random_seed=3515580259:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.31/0.45 % (3318377)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2006337830:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.31/0.45 % (3318380)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.31/0.45 % (3318378)Instruction limit reached!
% 0.31/0.45 % (3318378)------------------------------
% 0.31/0.45 % (3318378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45 % (3318378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45 % (3318378)CaDiCaL version: 2.1.3
% 0.31/0.45 % (3318378)Termination reason: Instruction limit
% 0.31/0.45 % (3318378)Termination phase: shuffling
% 0.31/0.45 % (3318378)Time elapsed: 0.005 s
% 0.31/0.45 % (3318378)Peak memory usage: 10 MB
% 0.31/0.45 % (3318378)Instructions burned: 9 (million)
% 0.31/0.45 % (3318376)Instruction limit reached!
% 0.31/0.45 % (3318376)------------------------------
% 0.31/0.45 % (3318376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45 % (3318376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45 % (3318376)CaDiCaL version: 2.1.3
% 0.31/0.45 % (3318376)Termination reason: Instruction limit
% 0.31/0.45 % (3318376)Termination phase: shuffling
% 0.31/0.45 % (3318376)Time elapsed: 0.015 s
% 0.31/0.45 % (3318376)Peak memory usage: 11 MB
% 0.31/0.45 % (3318376)Instructions burned: 29 (million)
% 0.31/0.45 % (3318380)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=501547943:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.31/0.45 % (3318382)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2990103855:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.31/0.45 % (3318380)Instruction limit reached!
% 0.31/0.45 % (3318380)------------------------------
% 0.31/0.45 % (3318380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45 % (3318380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45 % (3318380)CaDiCaL version: 2.1.3
% 0.31/0.45 % (3318380)Termination reason: Instruction limit
% 0.31/0.45 % (3318380)Termination phase: shuffling
% 0.31/0.45 % (3318380)Time elapsed: 0.002 s
% 0.31/0.45 % (3318380)Peak memory usage: 10 MB
% 0.31/0.45 % (3318380)Instructions burned: 2 (million)
% 0.31/0.45 % (3318359) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3318351-3318359"...
% 0.31/0.45 % (3318359)...printing done.
% 0.31/0.45 % (3318359)Refutation found. Thanks to Tanya!
% 0.31/0.45 % SZS status Theorem for theBenchmark
% 0.31/0.45 % SZS output start Proof for theBenchmark
% 0.31/0.45 thf(type_def_5, type, configuration_ext: ($tType * $tType * $tType * $tType) > $tType).
% 0.31/0.45 thf(type_def_6, type, messageValue: $tType > $tType).
% 0.31/0.45 thf(type_def_7, type, message: ($tType * $tType) > $tType).
% 0.31/0.45 thf(type_def_8, type, product_unit: $tType).
% 0.31/0.45 thf(type_def_9, type, list: $tType > $tType).
% 0.31/0.45 thf(type_def_10, type, set: $tType > $tType).
% 0.31/0.45 thf(type_def_11, type, nat: $tType).
% 0.31/0.45 thf(type_def_12, type, v: $tType).
% 0.31/0.45 thf(type_def_13, type, s: $tType).
% 0.31/0.45 thf(type_def_14, type, p: $tType).
% 0.31/0.45 thf(type_def_15, type, sTfun: ($tType * $tType) > $tType).
% 0.31/0.45 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 0.31/0.45 thf(func_def_1, type, size: !>[X0: $tType]:($o)).
% 0.31/0.45 thf(func_def_2, type, zero: !>[X0: $tType]:($o)).
% 0.31/0.45 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 0.31/0.45 thf(func_def_4, type, order: !>[X0: $tType]:($o)).
% 0.31/0.45 thf(func_def_5, type, group_add: !>[X0: $tType]:($o)).
% 0.31/0.45 thf(func_def_6, type, semiring_1: !>[X0: $tType]:($o)).
% 0.31/0.45 thf(func_def_7, type, linorder: !>[X0: $tType]:($o)).
% 0.31/0.45 thf(func_def_8, type, semiring_char_0: !>[X0: $tType]:($o)).
% 0.31/0.45 thf(func_def_9, type, wellorder: !>[X0: $tType]:($o)).
% 0.31/0.45 thf(func_def_10, type, comm_monoid_diff: !>[X0: $tType]:($o)).
% 0.31/0.45 thf(func_def_11, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 0.31/0.45 thf(func_def_12, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 0.31/0.45 thf(func_def_13, type, cancel146912293up_add: !>[X0: $tType]:($o)).
% 0.31/0.45 thf(func_def_14, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 0.31/0.45 thf(func_def_15, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 0.31/0.45 thf(func_def_16, type, flpSystem: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > messageValue @ X2 > message @ X0 @ X2 > nat) > $o))).
% 0.31/0.45 thf(func_def_17, type, fLPThe1922692578sensus: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > messageValue @ X2 > X1) > (X0 > X1 > messageValue @ X2 > message @ X0 @ X2 > nat) > (X0 > X1) > $o))).
% 0.31/0.45 thf(func_def_18, type, fLPThe137922386ionCfg: !>[X0: $tType, X1: $tType, X2: $tType]:((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit))).
% 0.31/0.45 thf(func_def_19, type, fLPThe221390223ionMsg: !>[X0: $tType, X1: $tType, X2: $tType]:((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > list @ message @ X0 @ X1))).
% 0.31/0.45 thf(func_def_20, type, fLPThe128449925axioms: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > messageValue @ X2 > X1) > (X0 > X1 > messageValue @ X2 > message @ X0 @ X2 > nat) > (X0 > X1) > $o))).
% 0.31/0.45 thf(func_def_21, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.31/0.45 thf(func_def_22, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.31/0.45 thf(func_def_23, type, arg_min_list: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > X0))).
% 0.31/0.45 thf(func_def_24, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 0.31/0.45 thf(func_def_25, type, count_list: !>[X0: $tType]:((list @ X0 > X0 > nat))).
% 0.31/0.45 thf(func_def_26, type, gen_length: !>[X0: $tType]:((nat > list @ X0 > nat))).
% 0.31/0.45 thf(func_def_27, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_28, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_29, type, nil: !>[X0: $tType]:(list @ X0)).
% 0.31/0.45 thf(func_def_30, type, list_ex1: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 0.31/0.45 thf(func_def_31, type, listrelp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > $o))).
% 0.31/0.45 thf(func_def_32, type, map_tailrec_rev: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1 > list @ X1))).
% 0.31/0.45 thf(func_def_33, type, member: !>[X0: $tType]:((list @ X0 > X0 > $o))).
% 0.31/0.45 thf(func_def_34, type, n_lists: !>[X0: $tType]:((nat > list @ X0 > list @ list @ X0))).
% 0.31/0.45 thf(func_def_35, type, nths: !>[X0: $tType]:((list @ X0 > set @ nat > list @ X0))).
% 0.31/0.45 thf(func_def_36, type, lexordp_eq: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 0.31/0.45 thf(func_def_37, type, ord_lexordp: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 0.31/0.45 thf(func_def_38, type, ord_lexordp_eq: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 0.31/0.45 thf(func_def_39, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.31/0.45 thf(func_def_40, type, splice: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_41, type, subseqs: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 0.31/0.45 thf(func_def_42, type, suc: (nat > nat)).
% 0.31/0.45 thf(func_def_43, type, semiring_1_of_nat: !>[X0: $tType]:((nat > X0))).
% 0.31/0.45 thf(func_def_44, type, semiri532925092at_aux: !>[X0: $tType]:(((X0 > X0) > nat > X0 > X0))).
% 0.31/0.45 thf(func_def_45, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 0.31/0.45 thf(func_def_46, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.31/0.45 thf(func_def_47, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.31/0.45 thf(func_def_48, type, member2: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.31/0.45 thf(func_def_49, type, cfg: configuration_ext @ p @ v @ s @ product_unit).
% 0.31/0.45 thf(func_def_50, type, fStepCfg: (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit)).
% 0.31/0.45 thf(func_def_51, type, fStepMsg: (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v)).
% 0.31/0.45 thf(func_def_52, type, fe: (nat > list @ configuration_ext @ p @ v @ s @ product_unit)).
% 0.31/0.45 thf(func_def_53, type, ft: (nat > list @ message @ p @ v)).
% 0.31/0.45 thf(func_def_57, type, db1: !>[X0: $tType]:(X0)).
% 0.31/0.45 thf(func_def_58, type, db0: !>[X0: $tType]:(X0)).
% 0.31/0.45 thf(func_def_59, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.31/0.45 thf(func_def_60, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.31/0.45 thf(func_def_61, type, vAND: ($o > $o > $o)).
% 0.31/0.45 thf(func_def_62, type, db2: !>[X0: $tType]:(X0)).
% 0.31/0.45 thf(func_def_63, type, vOR: ($o > $o > $o)).
% 0.31/0.45 thf(func_def_64, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.31/0.45 thf(func_def_65, type, db3: !>[X0: $tType]:(X0)).
% 0.31/0.45 thf(func_def_66, type, db4: !>[X0: $tType]:(X0)).
% 0.31/0.45 thf(func_def_67, type, db5: !>[X0: $tType]:(X0)).
% 0.31/0.45 thf(func_def_68, type, vNOT: ($o > $o)).
% 0.31/0.45 thf(func_def_69, type, db6: !>[X0: $tType]:(X0)).
% 0.31/0.45 thf(func_def_70, type, sP0: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 0.31/0.45 thf(func_def_71, type, sP1: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 0.31/0.45 thf(func_def_72, type, sK2: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > list @ X1))).
% 0.31/0.45 thf(func_def_73, type, sK3: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_74, type, sK4: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > X1))).
% 0.31/0.45 thf(func_def_75, type, sK5: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > X1 > X0))).
% 0.31/0.45 thf(func_def_76, type, sK6: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > X1 > X0))).
% 0.31/0.45 thf(func_def_77, type, sK7: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_78, type, sK8: !>[X0: $tType]:((list @ X0 > nat > list @ X0))).
% 0.31/0.45 thf(func_def_79, type, sK9: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 0.31/0.45 thf(func_def_80, type, sK10: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_81, type, sK11: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_82, type, sK12: ((nat > $o) > nat > nat)).
% 0.31/0.45 thf(func_def_83, type, sK13: ((nat > $o) > nat > nat)).
% 0.31/0.45 thf(func_def_84, type, sK14: ((list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > list @ configuration_ext @ p @ v @ s @ product_unit > configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > nat > nat)).
% 0.31/0.45 thf(func_def_85, type, sK15: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_86, type, sK16: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.31/0.45 thf(func_def_87, type, sK17: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_88, type, sK18: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.31/0.45 thf(func_def_89, type, sK19: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_90, type, sK20: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_91, type, sK21: (nat > (nat > $o) > nat)).
% 0.31/0.45 thf(func_def_92, type, sK22: ((nat > $o) > nat > nat)).
% 0.31/0.45 thf(func_def_93, type, sK23: ((nat > $o) > nat > nat)).
% 0.31/0.45 thf(func_def_94, type, sK24: !>[X0: $tType, X1: $tType]:((list @ X1 > (X0 > X1 > $o) > list @ X0 > X1))).
% 0.31/0.45 thf(func_def_95, type, sK25: !>[X0: $tType, X1: $tType]:((list @ X1 > (X0 > X1 > $o) > list @ X0 > X0))).
% 0.31/0.45 thf(func_def_96, type, sK26: !>[X0: $tType, X1: $tType]:((list @ X1 > (X0 > X1 > $o) > list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_97, type, sK27: !>[X0: $tType, X1: $tType]:((list @ X1 > (X0 > X1 > $o) > list @ X0 > list @ X1))).
% 0.31/0.45 thf(func_def_98, type, sK28: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_99, type, sK29: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_100, type, sK30: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_101, type, sK31: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_102, type, sK32: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_103, type, sK33: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_104, type, sK34: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_105, type, sK35: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_106, type, sK36: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_107, type, sK37: ((nat > $o) > nat)).
% 0.31/0.45 thf(func_def_108, type, sK38: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_109, type, sK39: ((nat > $o) > nat)).
% 0.31/0.45 thf(func_def_110, type, sK40: (nat > nat > nat)).
% 0.31/0.45 thf(func_def_111, type, sK41: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 0.31/0.45 thf(func_def_112, type, sK42: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_113, type, sK43: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 0.31/0.45 thf(func_def_114, type, sK44: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_115, type, sK45: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_116, type, sK46: !>[X0: $tType]:((list @ X0 > X0))).
% 0.31/0.45 thf(func_def_117, type, sK47: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 0.31/0.45 thf(func_def_118, type, sK48: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 0.31/0.45 thf(func_def_119, type, sK49: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_120, type, sK50: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_121, type, sK51: ((nat > $o) > nat > nat)).
% 0.31/0.45 thf(func_def_122, type, sK52: ((nat > $o) > nat > nat)).
% 0.31/0.45 thf(func_def_123, type, sK53: ((nat > $o) > nat)).
% 0.31/0.45 thf(func_def_124, type, sK54: !>[X0: $tType]:((nat > list @ X0))).
% 0.31/0.45 thf(func_def_125, type, sK55: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 0.31/0.45 thf(func_def_126, type, sK56: !>[X0: $tType]:((list @ X0 > nat > list @ X0))).
% 0.31/0.45 thf(func_def_127, type, sK57: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_128, type, sK58: !>[X0: $tType]:((list @ X0 > X0))).
% 0.31/0.45 thf(func_def_129, type, sK59: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (X1 > X0) > list @ X0 > list @ X1))).
% 0.31/0.45 thf(func_def_130, type, sK60: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (X1 > X0) > list @ X0 > X1))).
% 0.31/0.45 thf(func_def_131, type, sK61: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_132, type, sK62: !>[X0: $tType]:((list @ X0 > X0))).
% 0.31/0.45 thf(func_def_133, type, sK63: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_134, type, sK64: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_135, type, sK65: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_136, type, sK66: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_137, type, sK67: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_138, type, sK68: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_139, type, sK69: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_140, type, sK70: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_141, type, sK71: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_142, type, sK72: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_143, type, sK73: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_144, type, sK74: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_145, type, sK75: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_146, type, sK76: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_147, type, sK77: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_148, type, sK78: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_149, type, sK79: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_150, type, sK80: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_151, type, sK81: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > configuration_ext @ p @ v @ s @ product_unit)).
% 0.31/0.45 thf(func_def_152, type, sK82: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v)).
% 0.31/0.45 thf(func_def_153, type, sK83: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit)).
% 0.31/0.45 thf(func_def_154, type, sK84: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > nat)).
% 0.31/0.45 thf(func_def_155, type, sK85: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit)).
% 0.31/0.45 thf(func_def_156, type, sK86: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > configuration_ext @ p @ v @ s @ product_unit)).
% 0.31/0.45 thf(func_def_157, type, sK87: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v)).
% 0.31/0.45 thf(func_def_158, type, sK88: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit)).
% 0.31/0.45 thf(func_def_159, type, sK89: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > configuration_ext @ p @ v @ s @ product_unit)).
% 0.31/0.45 thf(func_def_160, type, sK90: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > nat)).
% 0.31/0.45 thf(func_def_161, type, sK91: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v)).
% 0.31/0.45 thf(func_def_162, type, sK92: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v)).
% 0.31/0.45 thf(func_def_163, type, sK93: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > configuration_ext @ p @ v @ s @ product_unit)).
% 0.31/0.45 thf(func_def_164, type, sK94: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit)).
% 0.31/0.45 thf(func_def_165, type, sK95: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_166, type, sK96: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_167, type, sK97: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_168, type, sK98: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_169, type, sK99: !>[X0: $tType]:((list @ X0 > X0))).
% 0.31/0.45 thf(func_def_170, type, sK100: !>[X0: $tType]:((list @ X0 > X0))).
% 0.31/0.45 thf(func_def_171, type, sK101: !>[X0: $tType]:((list @ X0 > X0))).
% 0.31/0.45 thf(func_def_172, type, sK102: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_173, type, sK103: ((nat > $o) > nat)).
% 0.31/0.45 thf(func_def_174, type, sK104: (nat > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > list @ message @ p @ v > configuration_ext @ p @ v @ s @ product_unit > nat)).
% 0.31/0.45 thf(func_def_175, type, sK105: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_176, type, sK106: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_177, type, sK107: (nat > (nat > $o) > nat)).
% 0.31/0.45 thf(func_def_178, type, sK108: (nat > (nat > $o) > nat)).
% 0.31/0.45 thf(func_def_179, type, sK109: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_180, type, sK110: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 0.31/0.45 thf(func_def_181, type, sK111: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 0.31/0.45 thf(func_def_182, type, sK112: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.31/0.45 thf(func_def_183, type, sK113: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 0.31/0.45 thf(func_def_184, type, sK114: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 0.31/0.45 thf(func_def_185, type, sK115: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.31/0.45 thf(func_def_186, type, sK116: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_187, type, sK117: (nat > nat)).
% 0.31/0.45 thf(func_def_188, type, sK118: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_189, type, sK119: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 0.31/0.45 thf(func_def_190, type, sK120: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_191, type, sK121: !>[X0: $tType]:((list @ X0 > X0))).
% 0.31/0.45 thf(func_def_192, type, sK122: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > $o) > X1))).
% 0.31/0.45 thf(func_def_193, type, sK123: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 0.31/0.45 thf(func_def_194, type, sK124: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_195, type, sK125: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_196, type, sK126: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_197, type, sK127: !>[X0: $tType]:((list @ X0 > X0))).
% 0.31/0.45 thf(func_def_198, type, sK128: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 0.31/0.45 thf(func_def_199, type, sK129: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 0.31/0.45 thf(func_def_200, type, sK130: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_201, type, sK131: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_202, type, sK132: ((nat > $o) > nat > nat)).
% 0.31/0.45 thf(func_def_203, type, sK133: ((nat > $o) > nat > nat)).
% 0.31/0.45 thf(func_def_204, type, sK134: (nat > nat)).
% 0.31/0.45 thf(func_def_205, type, sK135: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_206, type, sK136: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ configuration_ext @ X1 @ X2 @ X0 @ product_unit > list @ message @ X1 @ X2 > list @ configuration_ext @ X1 @ X2 @ X0 @ product_unit) > nat > configuration_ext @ X1 @ X2 @ X0 @ product_unit > (list @ configuration_ext @ X1 @ X2 @ X0 @ product_unit > list @ message @ X1 @ X2 > list @ message @ X1 @ X2) > list @ configuration_ext @ X1 @ X2 @ X0 @ product_unit > nat))).
% 0.31/0.45 thf(func_def_207, type, sK137: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_208, type, sK138: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_209, type, sK139: ((nat > $o) > nat)).
% 0.31/0.45 thf(func_def_210, type, sK140: (nat > nat > nat)).
% 0.31/0.45 thf(func_def_211, type, sK141: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_212, type, sK142: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_213, type, sK143: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_214, type, sK144: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_215, type, sK145: !>[X0: $tType, X1: $tType, X2: $tType]:((list @ message @ X1 @ X2 > (list @ configuration_ext @ X1 @ X2 @ X0 @ product_unit > list @ message @ X1 @ X2 > list @ configuration_ext @ X1 @ X2 @ X0 @ product_unit) > configuration_ext @ X1 @ X2 @ X0 @ product_unit > nat > (list @ configuration_ext @ X1 @ X2 @ X0 @ product_unit > list @ message @ X1 @ X2 > list @ message @ X1 @ X2) > nat))).
% 0.31/0.45 thf(func_def_216, type, sK146: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_217, type, sK147: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_218, type, sK148: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_219, type, sK149: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_220, type, sK150: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_221, type, sK151: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_222, type, sK152: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_223, type, sK153: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_224, type, sK154: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_225, type, sK155: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_226, type, sK156: !>[X0: $tType]:(((nat > X0) > nat))).
% 0.31/0.45 thf(func_def_227, type, sK157: ((nat > $o) > nat)).
% 0.31/0.45 thf(func_def_228, type, sK158: ((nat > nat > $o) > nat)).
% 0.31/0.45 thf(func_def_229, type, sK159: ((nat > nat > $o) > nat)).
% 0.31/0.45 thf(func_def_230, type, sK160: ((nat > nat > $o) > nat)).
% 0.31/0.45 thf(func_def_231, type, sK161: ((nat > nat > $o) > nat)).
% 0.31/0.45 thf(func_def_232, type, sK162: (nat > nat > nat)).
% 0.31/0.45 thf(func_def_233, type, sK163: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_234, type, sK164: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > nat))).
% 0.31/0.45 thf(func_def_235, type, sK165: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > nat > X0))).
% 0.31/0.45 thf(func_def_236, type, sK166: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_237, type, sK167: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_238, type, sK168: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_239, type, sK169: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_240, type, sK170: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_241, type, sK171: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_242, type, sK172: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_243, type, sK173: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_244, type, sK174: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_245, type, sK175: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_246, type, sK176: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X0 > list @ X2 > list @ X1 > $o) > X0))).
% 0.31/0.45 thf(func_def_247, type, sK177: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X0 > list @ X2 > list @ X1 > $o) > list @ X1))).
% 0.31/0.45 thf(func_def_248, type, sK178: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X0 > list @ X2 > list @ X1 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_249, type, sK179: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X0 > list @ X2 > list @ X1 > $o) > X2))).
% 0.31/0.45 thf(func_def_250, type, sK180: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X0 > list @ X2 > list @ X1 > $o) > list @ X2))).
% 0.31/0.45 thf(func_def_251, type, sK181: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X0 > list @ X2 > list @ X1 > $o) > X1))).
% 0.31/0.45 thf(func_def_252, type, sK182: (nat > nat)).
% 0.31/0.45 thf(func_def_253, type, sK183: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.31/0.45 thf(func_def_254, type, sK184: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_255, type, sK185: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_256, type, sK186: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.31/0.45 thf(func_def_257, type, sK187: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_258, type, sK188: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_259, type, sK189: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.31/0.45 thf(func_def_260, type, sK190: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X2 @ X1 @ X0 @ product_unit > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit) > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1) > nat > $o) > (configuration_ext @ X2 @ X1 @ X0 @ product_unit > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit) > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1) > nat > $o) > nat))).
% 0.31/0.45 thf(func_def_261, type, sK191: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X2 @ X1 @ X0 @ product_unit > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit) > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1) > nat > $o) > (configuration_ext @ X2 @ X1 @ X0 @ product_unit > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit) > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1) > nat > $o) > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit))).
% 0.31/0.45 thf(func_def_262, type, sK192: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X2 @ X1 @ X0 @ product_unit > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit) > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1) > nat > $o) > (configuration_ext @ X2 @ X1 @ X0 @ product_unit > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit) > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1) > nat > $o) > configuration_ext @ X2 @ X1 @ X0 @ product_unit))).
% 0.31/0.45 thf(func_def_263, type, sK193: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X2 @ X1 @ X0 @ product_unit > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit) > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1) > nat > $o) > (configuration_ext @ X2 @ X1 @ X0 @ product_unit > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit) > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1) > nat > $o) > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1))).
% 0.31/0.45 thf(func_def_264, type, sK194: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X2 @ X1 @ X0 @ product_unit > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit) > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1) > nat > $o) > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1))).
% 0.31/0.45 thf(func_def_265, type, sK195: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X2 @ X1 @ X0 @ product_unit > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit) > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1) > nat > $o) > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit))).
% 0.31/0.45 thf(func_def_266, type, sK196: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X2 @ X1 @ X0 @ product_unit > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit) > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1) > nat > $o) > configuration_ext @ X2 @ X1 @ X0 @ product_unit))).
% 0.31/0.45 thf(func_def_267, type, sK197: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X2 @ X1 @ X0 @ product_unit > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit) > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1) > nat > $o) > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1))).
% 0.31/0.45 thf(func_def_268, type, sK198: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X2 @ X1 @ X0 @ product_unit > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit) > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1) > nat > $o) > configuration_ext @ X2 @ X1 @ X0 @ product_unit))).
% 0.31/0.45 thf(func_def_269, type, sK199: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X2 @ X1 @ X0 @ product_unit > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit) > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1) > nat > $o) > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit))).
% 0.31/0.45 thf(func_def_270, type, sK200: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X2 @ X1 @ X0 @ product_unit > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit) > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1) > nat > $o) > (configuration_ext @ X2 @ X1 @ X0 @ product_unit > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit) > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1) > nat > $o) > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit))).
% 0.31/0.45 thf(func_def_271, type, sK201: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X2 @ X1 @ X0 @ product_unit > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit) > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1) > nat > $o) > (configuration_ext @ X2 @ X1 @ X0 @ product_unit > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit) > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1) > nat > $o) > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1))).
% 0.31/0.45 thf(func_def_272, type, sK202: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X2 @ X1 @ X0 @ product_unit > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit) > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1) > nat > $o) > (configuration_ext @ X2 @ X1 @ X0 @ product_unit > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit) > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1) > nat > $o) > configuration_ext @ X2 @ X1 @ X0 @ product_unit))).
% 0.31/0.45 thf(func_def_273, type, sK203: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X2 @ X1 @ X0 @ product_unit > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit) > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1) > nat > $o) > (configuration_ext @ X2 @ X1 @ X0 @ product_unit > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit) > (list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ message @ X2 @ X1 > list @ message @ X2 @ X1) > nat > $o) > nat))).
% 0.31/0.45 thf(func_def_274, type, sK204: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.31/0.45 thf(func_def_275, type, sK205: !>[X0: $tType]:(((nat > X0) > nat))).
% 0.31/0.45 thf(func_def_276, type, sK206: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_277, type, sK207: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_278, type, sK208: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_279, type, sK209: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 0.31/0.45 thf(func_def_280, type, sK210: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_281, type, sK211: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 0.31/0.45 thf(func_def_282, type, sK212: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_283, type, sK213: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 0.31/0.45 thf(func_def_284, type, sK214: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 0.31/0.45 thf(func_def_285, type, sK215: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_286, type, sK216: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_287, type, sK217: ((nat > $o) > nat)).
% 0.31/0.45 thf(func_def_288, type, sK218: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > (configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > configuration_ext @ X0 @ X1 @ X2 @ product_unit))).
% 0.31/0.45 thf(func_def_289, type, sK219: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > (configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit))).
% 0.31/0.45 thf(func_def_290, type, sK220: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > (configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > nat))).
% 0.31/0.45 thf(func_def_291, type, sK221: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > (configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1))).
% 0.31/0.45 thf(func_def_292, type, sK222: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > (configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1))).
% 0.31/0.45 thf(func_def_293, type, sK223: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > (configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit))).
% 0.31/0.45 thf(func_def_294, type, sK224: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > (configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > configuration_ext @ X0 @ X1 @ X2 @ product_unit))).
% 0.31/0.45 thf(func_def_295, type, sK225: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > (configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > nat))).
% 0.31/0.45 thf(func_def_296, type, sK226: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > configuration_ext @ X0 @ X1 @ X2 @ product_unit))).
% 0.31/0.45 thf(func_def_297, type, sK227: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit))).
% 0.31/0.45 thf(func_def_298, type, sK228: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1))).
% 0.31/0.45 thf(func_def_299, type, sK229: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > configuration_ext @ X0 @ X1 @ X2 @ product_unit))).
% 0.31/0.45 thf(func_def_300, type, sK230: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit))).
% 0.31/0.45 thf(func_def_301, type, sK231: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1))).
% 0.31/0.45 thf(func_def_302, type, sK232: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_303, type, sK233: !>[X0: $tType]:((list @ X0 > X0))).
% 0.31/0.45 thf(func_def_304, type, sK234: !>[X0: $tType]:(X0)).
% 0.31/0.45 thf(func_def_305, type, sK235: (nat > nat > nat)).
% 0.31/0.45 thf(func_def_306, type, sK236: (nat > nat)).
% 0.31/0.45 thf(func_def_307, type, sK237: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 0.31/0.45 thf(func_def_308, type, sK238: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_309, type, sK239: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.31/0.45 thf(func_def_310, type, sK240: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 0.31/0.45 thf(func_def_311, type, sK241: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_312, type, sK242: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.31/0.45 thf(func_def_313, type, sK243: ((nat > nat > $o) > nat)).
% 0.31/0.45 thf(func_def_314, type, sK244: ((nat > nat > $o) > nat)).
% 0.31/0.45 thf(func_def_315, type, sK245: ((nat > nat > $o) > nat)).
% 0.31/0.45 thf(func_def_316, type, sK246: ((nat > nat > $o) > nat)).
% 0.31/0.45 thf(func_def_317, type, sK247: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 0.31/0.45 thf(func_def_318, type, sK248: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 0.31/0.45 thf(func_def_319, type, sK249: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 0.31/0.45 thf(func_def_320, type, sK250: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > list @ X1))).
% 0.31/0.45 thf(func_def_321, type, sK251: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 0.31/0.45 thf(func_def_322, type, sK252: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 0.31/0.45 thf(func_def_323, type, sK253: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 0.31/0.45 thf(func_def_324, type, sK254: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit)).
% 0.31/0.45 thf(func_def_325, type, sK255: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v)).
% 0.31/0.45 thf(func_def_326, type, sK256: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > configuration_ext @ p @ v @ s @ product_unit)).
% 0.31/0.45 thf(func_def_327, type, sK257: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v)).
% 0.31/0.45 thf(func_def_328, type, sK258: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > configuration_ext @ p @ v @ s @ product_unit)).
% 0.31/0.45 thf(func_def_329, type, sK259: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit)).
% 0.31/0.45 thf(func_def_330, type, sK260: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > nat)).
% 0.31/0.45 thf(func_def_331, type, sK261: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit)).
% 0.31/0.45 thf(func_def_332, type, sK262: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v)).
% 0.31/0.45 thf(func_def_333, type, sK263: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > configuration_ext @ p @ v @ s @ product_unit)).
% 0.31/0.45 thf(func_def_334, type, sK264: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v)).
% 0.31/0.45 thf(func_def_335, type, sK265: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > nat)).
% 0.31/0.45 thf(func_def_336, type, sK266: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > configuration_ext @ p @ v @ s @ product_unit)).
% 0.31/0.45 thf(func_def_337, type, sK267: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit)).
% 0.31/0.45 thf(func_def_338, type, sK268: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > X0))).
% 0.31/0.45 thf(func_def_339, type, sK269: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_340, type, sK270: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > X0))).
% 0.31/0.45 thf(func_def_341, type, sK271: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_342, type, sK272: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > X0))).
% 0.31/0.45 thf(func_def_343, type, sK273: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > X0))).
% 0.31/0.45 thf(func_def_344, type, sK274: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_345, type, sK275: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_346, type, sK276: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > X0))).
% 0.31/0.45 thf(func_def_347, type, sK277: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > list @ X0))).
% 0.31/0.45 thf(func_def_348, type, sK278: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > list @ X1))).
% 0.31/0.45 thf(func_def_349, type, sK279: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > X1))).
% 0.31/0.45 thf(func_def_350, type, sK280: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.31/0.45 thf(func_def_351, type, sK281: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.31/0.45 thf(func_def_352, type, sK282: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 0.31/0.45 thf(func_def_353, type, sK283: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 0.31/0.45 thf(func_def_355, type, inv_suc_285: (nat > nat)).
% 0.31/0.45 thf(f2,axiom,(
% 0.31/0.45 (fe = ((fLPThe137922386ionCfg @ p @ v @ s @ cfg @ fStepCfg @ fStepMsg)))),
% 0.31/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_fe__def)).
% 0.31/0.45 thf(f3,axiom,(
% 0.31/0.45 ! [X0 : configuration_ext @ p @ v @ s @ product_unit,X2 : (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v),X1 : (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit)] : (((fLPThe137922386ionCfg @ p @ v @ s @ X0 @ X1 @ X2 @ zero_zero @ nat)) = ((cons @ configuration_ext @ p @ v @ s @ product_unit @ X0 @ nil @ configuration_ext @ p @ v @ s @ product_unit)))),
% 0.31/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_infiniteExecutionCfg_Osimps_I1_J)).
% 0.31/0.45 thf(f279,conjecture,(
% 0.31/0.45 (((fe @ zero_zero @ nat)) = ((cons @ configuration_ext @ p @ v @ s @ product_unit @ cfg @ nil @ configuration_ext @ p @ v @ s @ product_unit)))),
% 0.31/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.31/0.45 thf(f280,negated_conjecture,(
% 0.31/0.45 ~ (((fe @ zero_zero @ nat)) = ((cons @ configuration_ext @ p @ v @ s @ product_unit @ cfg @ nil @ configuration_ext @ p @ v @ s @ product_unit)))),
% 0.31/0.45 inference(negated_conjecture,[status(cth)],[f279])).
% 0.31/0.45 thf(f751,plain,(
% 0.31/0.45 ! [X1 : (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v),X0 : configuration_ext @ p @ v @ s @ product_unit,X2 : (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit)] : (((cons @ configuration_ext @ p @ v @ s @ product_unit @ X0 @ nil @ configuration_ext @ p @ v @ s @ product_unit)) = ((fLPThe137922386ionCfg @ p @ v @ s @ X0 @ X2 @ X1 @ zero_zero @ nat)))),
% 0.31/0.45 inference(rectify,[],[f3])).
% 0.31/0.45 thf(f769,plain,(
% 0.31/0.45 (((fe @ zero_zero @ nat)) != ((cons @ configuration_ext @ p @ v @ s @ product_unit @ cfg @ nil @ configuration_ext @ p @ v @ s @ product_unit)))),
% 0.31/0.45 inference(flattening,[],[f280])).
% 0.31/0.45 thf(f1254,plain,(
% 0.31/0.45 ! [X0 : (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v),X1 : configuration_ext @ p @ v @ s @ product_unit,X2 : (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit)] : (((fLPThe137922386ionCfg @ p @ v @ s @ X1 @ X2 @ X0 @ zero_zero @ nat)) = ((cons @ configuration_ext @ p @ v @ s @ product_unit @ X1 @ nil @ configuration_ext @ p @ v @ s @ product_unit)))),
% 0.31/0.45 inference(rectify,[],[f751])).
% 0.31/0.45 thf(f1441,plain,(
% 0.31/0.45 (fe = ((fLPThe137922386ionCfg @ p @ v @ s @ cfg @ fStepCfg @ fStepMsg)))),
% 0.31/0.45 inference(cnf_transformation,[],[f2])).
% 0.31/0.45 thf(f1727,plain,(
% 0.31/0.45 (((fe @ zero_zero @ nat)) != ((cons @ configuration_ext @ p @ v @ s @ product_unit @ cfg @ nil @ configuration_ext @ p @ v @ s @ product_unit)))),
% 0.31/0.45 inference(cnf_transformation,[],[f769])).
% 0.31/0.45 thf(f1752,plain,(
% 0.31/0.45 ( ! [X2 : (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit),X0 : (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v),X1 : configuration_ext @ p @ v @ s @ product_unit] : ((((fLPThe137922386ionCfg @ p @ v @ s @ X1 @ X2 @ X0 @ zero_zero @ nat)) = ((cons @ configuration_ext @ p @ v @ s @ product_unit @ X1 @ nil @ configuration_ext @ p @ v @ s @ product_unit)))) )),
% 0.31/0.45 inference(cnf_transformation,[],[f1254])).
% 0.31/0.45 thf(f1940,definition,(
% 0.31/0.45 spl284_5 <=> (fe = ((fLPThe137922386ionCfg @ p @ v @ s @ cfg @ fStepCfg @ fStepMsg)))),
% 0.31/0.45 introduced(definition,[new_symbols(definition,[spl284_5])],[avatar_definition])).
% 0.31/0.45 thf(f1942,plain,(
% 0.31/0.45 (fe = ((fLPThe137922386ionCfg @ p @ v @ s @ cfg @ fStepCfg @ fStepMsg))) | ~spl284_5),
% 0.31/0.45 inference(avatar_component_clause,[],[f1940])).
% 0.31/0.45 thf(f1943,plain,(
% 0.31/0.45 spl284_5),
% 0.31/0.45 inference(avatar_split_clause,[],[f1441,f1940])).
% 0.31/0.45 thf(f1975,definition,(
% 0.31/0.45 spl284_12 <=> (((fe @ zero_zero @ nat)) = ((cons @ configuration_ext @ p @ v @ s @ product_unit @ cfg @ nil @ configuration_ext @ p @ v @ s @ product_unit)))),
% 0.31/0.45 introduced(definition,[new_symbols(definition,[spl284_12])],[avatar_definition])).
% 0.31/0.45 thf(f1977,plain,(
% 0.31/0.45 (((fe @ zero_zero @ nat)) != ((cons @ configuration_ext @ p @ v @ s @ product_unit @ cfg @ nil @ configuration_ext @ p @ v @ s @ product_unit))) | spl284_12),
% 0.31/0.45 inference(avatar_component_clause,[],[f1975])).
% 0.31/0.45 thf(f1978,plain,(
% 0.31/0.45 ~spl284_12),
% 0.31/0.45 inference(avatar_split_clause,[],[f1727,f1975])).
% 0.31/0.45 thf(f2103,plain,(
% 0.31/0.45 ( ! [X1 : nat] : ((((fe @ X1)) = ((fLPThe137922386ionCfg @ p @ v @ s @ cfg @ fStepCfg @ fStepMsg @ X1)))) ) | ~spl284_5),
% 0.31/0.45 inference(argument_congruence,[],[f1942])).
% 0.31/0.45 thf(f2608,plain,(
% 0.31/0.45 (((fe @ zero_zero @ nat)) = ((cons @ configuration_ext @ p @ v @ s @ product_unit @ cfg @ nil @ configuration_ext @ p @ v @ s @ product_unit))) | ~spl284_5),
% 0.31/0.45 inference(superposition,[],[f2103,f1752])).
% 0.31/0.45 thf(f2630,plain,(
% 0.31/0.45 $false | (~spl284_5 | spl284_12)),
% 0.31/0.45 inference(forward_subsumption_resolution,[],[f2608,f1977])).
% 0.31/0.45 thf(f2631,plain,(
% 0.31/0.45 ~spl284_5 | spl284_12),
% 0.31/0.45 inference(avatar_contradiction_clause,[],[f2630])).
% 0.31/0.45 cnf(s5, plain, spl284_5, inference(sat_conversion,[],[f1943])).
% 0.31/0.45 cnf(s12, plain, ~spl284_12, inference(sat_conversion,[],[f1978])).
% 0.31/0.45 cnf(s59, plain, ~spl284_5 | spl284_12, inference(sat_conversion,[],[f2631])).
% 0.31/0.45 cnf(s66, plain, ~spl284_5, inference(rat,[],[s59,s12])).
% 0.31/0.45 cnf(s67, plain, $false, inference(rat,[],[s5,s66])).
% 0.31/0.45 thf(f2634,plain,(
% 0.31/0.45 $false),
% 0.31/0.45 inference(avatar_sat_refutation,[],[s67])).
% 0.31/0.45 % SZS output end Proof for theBenchmark
% 0.31/0.45 % (3318359)------------------------------
% 0.31/0.45 % (3318359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45 % (3318359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45 % (3318359)CaDiCaL version: 2.1.3
% 0.31/0.45 % (3318359)Termination reason: Refutation
% 0.31/0.45 % (3318359)Time elapsed: 0.087 s
% 0.31/0.45 % (3318359)Peak memory usage: 15 MB
% 0.31/0.45 % (3318359)Instructions burned: 326 (million)
% 0.31/0.45 % (3318351)Success in time 0.137 s
% 0.31/0.45 % Vampire exiting
%------------------------------------------------------------------------------