TSTP Solution File: ITP055^2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP055^2 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 22:33:12 EDT 2024

% Result   : Theorem 0.22s 0.46s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ITP055^2 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n010.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat May 18 17:33:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TH1_THM_EQU_NAR problem
% 0.14/0.36  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.40  % (31115)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.40  % (31116)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.40  % (31117)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.14/0.40  % (31118)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.40  % (31119)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.40  % (31121)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.40  % (31120)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.40  % (31122)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.40  % (31118)Instruction limit reached!
% 0.14/0.40  % (31118)------------------------------
% 0.14/0.40  % (31118)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (31118)Termination reason: Unknown
% 0.14/0.40  % (31118)Termination phase: shuffling
% 0.14/0.40  
% 0.14/0.40  % (31119)Instruction limit reached!
% 0.14/0.40  % (31119)------------------------------
% 0.14/0.40  % (31119)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (31119)Termination reason: Unknown
% 0.14/0.40  % (31119)Termination phase: shuffling
% 0.14/0.40  
% 0.14/0.40  % (31119)Memory used [KB]: 1407
% 0.14/0.40  % (31119)Time elapsed: 0.003 s
% 0.14/0.40  % (31119)Instructions burned: 2 (million)
% 0.14/0.40  % (31119)------------------------------
% 0.14/0.40  % (31119)------------------------------
% 0.14/0.40  % (31118)Memory used [KB]: 1407
% 0.14/0.40  % (31118)Time elapsed: 0.004 s
% 0.14/0.40  % (31118)Instructions burned: 2 (million)
% 0.14/0.40  % (31118)------------------------------
% 0.14/0.40  % (31118)------------------------------
% 0.14/0.40  % (31116)Instruction limit reached!
% 0.14/0.40  % (31116)------------------------------
% 0.14/0.40  % (31116)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (31116)Termination reason: Unknown
% 0.14/0.40  % (31116)Termination phase: shuffling
% 0.14/0.40  
% 0.14/0.40  % (31116)Memory used [KB]: 1407
% 0.14/0.40  % (31116)Time elapsed: 0.005 s
% 0.14/0.40  % (31116)Instructions burned: 4 (million)
% 0.14/0.40  % (31116)------------------------------
% 0.14/0.40  % (31116)------------------------------
% 0.14/0.40  % (31122)Instruction limit reached!
% 0.14/0.40  % (31122)------------------------------
% 0.14/0.40  % (31122)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (31122)Termination reason: Unknown
% 0.14/0.40  % (31122)Termination phase: shuffling
% 0.14/0.40  
% 0.14/0.40  % (31122)Memory used [KB]: 1407
% 0.14/0.40  % (31122)Time elapsed: 0.004 s
% 0.14/0.40  % (31122)Instructions burned: 4 (million)
% 0.14/0.40  % (31122)------------------------------
% 0.14/0.40  % (31122)------------------------------
% 0.22/0.41  % (31121)Instruction limit reached!
% 0.22/0.41  % (31121)------------------------------
% 0.22/0.41  % (31121)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41  % (31121)Termination reason: Unknown
% 0.22/0.41  % (31121)Termination phase: shuffling
% 0.22/0.41  
% 0.22/0.41  % (31121)Memory used [KB]: 1663
% 0.22/0.41  % (31121)Time elapsed: 0.015 s
% 0.22/0.41  % (31121)Instructions burned: 19 (million)
% 0.22/0.41  % (31121)------------------------------
% 0.22/0.41  % (31121)------------------------------
% 0.22/0.42  % (31126)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.42  % (31127)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.42  % (31128)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.42  % (31117)Instruction limit reached!
% 0.22/0.42  % (31117)------------------------------
% 0.22/0.42  % (31117)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (31117)Termination reason: Unknown
% 0.22/0.42  % (31117)Termination phase: Property scanning
% 0.22/0.42  
% 0.22/0.42  % (31117)Memory used [KB]: 1791
% 0.22/0.42  % (31117)Time elapsed: 0.020 s
% 0.22/0.42  % (31117)Instructions burned: 27 (million)
% 0.22/0.42  % (31117)------------------------------
% 0.22/0.42  % (31117)------------------------------
% 0.22/0.42  % (31129)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.42  % (31128)Instruction limit reached!
% 0.22/0.42  % (31128)------------------------------
% 0.22/0.42  % (31128)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (31128)Termination reason: Unknown
% 0.22/0.42  % (31128)Termination phase: shuffling
% 0.22/0.42  
% 0.22/0.42  % (31128)Memory used [KB]: 1407
% 0.22/0.42  % (31128)Time elapsed: 0.004 s
% 0.22/0.42  % (31128)Instructions burned: 3 (million)
% 0.22/0.42  % (31128)------------------------------
% 0.22/0.42  % (31128)------------------------------
% 0.22/0.43  % (31127)Instruction limit reached!
% 0.22/0.43  % (31127)------------------------------
% 0.22/0.43  % (31127)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (31127)Termination reason: Unknown
% 0.22/0.43  % (31127)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (31127)Memory used [KB]: 1663
% 0.22/0.43  % (31127)Time elapsed: 0.012 s
% 0.22/0.43  % (31127)Instructions burned: 15 (million)
% 0.22/0.43  % (31127)------------------------------
% 0.22/0.43  % (31127)------------------------------
% 0.22/0.43  % (31130)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.43  % (31131)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.43  % (31130)Instruction limit reached!
% 0.22/0.43  % (31130)------------------------------
% 0.22/0.43  % (31130)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (31130)Termination reason: Unknown
% 0.22/0.43  % (31130)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (31130)Memory used [KB]: 1407
% 0.22/0.43  % (31130)Time elapsed: 0.007 s
% 0.22/0.43  % (31130)Instructions burned: 7 (million)
% 0.22/0.43  % (31130)------------------------------
% 0.22/0.43  % (31130)------------------------------
% 0.22/0.43  % (31132)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.44  % (31132)Instruction limit reached!
% 0.22/0.44  % (31132)------------------------------
% 0.22/0.44  % (31132)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (31132)Termination reason: Unknown
% 0.22/0.44  % (31132)Termination phase: shuffling
% 0.22/0.44  
% 0.22/0.44  % (31132)Memory used [KB]: 1407
% 0.22/0.44  % (31132)Time elapsed: 0.004 s
% 0.22/0.44  % (31132)Instructions burned: 3 (million)
% 0.22/0.44  % (31132)------------------------------
% 0.22/0.44  % (31132)------------------------------
% 0.22/0.44  % (31126)Instruction limit reached!
% 0.22/0.44  % (31126)------------------------------
% 0.22/0.44  % (31126)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (31126)Termination reason: Unknown
% 0.22/0.44  % (31126)Termination phase: shuffling
% 0.22/0.44  
% 0.22/0.44  % (31126)Memory used [KB]: 2046
% 0.22/0.44  % (31126)Time elapsed: 0.022 s
% 0.22/0.44  % (31126)Instructions burned: 37 (million)
% 0.22/0.44  % (31126)------------------------------
% 0.22/0.44  % (31126)------------------------------
% 0.22/0.44  % (31133)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.44  % (31131)Instruction limit reached!
% 0.22/0.44  % (31131)------------------------------
% 0.22/0.44  % (31131)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (31131)Termination reason: Unknown
% 0.22/0.44  % (31131)Termination phase: shuffling
% 0.22/0.44  % (31133)Instruction limit reached!
% 0.22/0.44  % (31133)------------------------------
% 0.22/0.44  % (31133)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (31133)Termination reason: Unknown
% 0.22/0.44  % (31133)Termination phase: shuffling
% 0.22/0.44  
% 0.22/0.44  % (31133)Memory used [KB]: 1407
% 0.22/0.44  % (31133)Time elapsed: 0.004 s
% 0.22/0.44  % (31133)Instructions burned: 3 (million)
% 0.22/0.44  % (31133)------------------------------
% 0.22/0.44  % (31133)------------------------------
% 0.22/0.44  
% 0.22/0.44  % (31131)Memory used [KB]: 1663
% 0.22/0.44  % (31131)Time elapsed: 0.013 s
% 0.22/0.44  % (31131)Instructions burned: 16 (million)
% 0.22/0.44  % (31131)------------------------------
% 0.22/0.44  % (31131)------------------------------
% 0.22/0.45  % (31134)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.45  % (31135)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.45  % (31136)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.45  % (31134)Instruction limit reached!
% 0.22/0.45  % (31134)------------------------------
% 0.22/0.45  % (31134)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45  % (31134)Termination reason: Unknown
% 0.22/0.45  % (31134)Termination phase: shuffling
% 0.22/0.45  % (31135)Instruction limit reached!
% 0.22/0.45  % (31135)------------------------------
% 0.22/0.45  % (31135)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45  % (31135)Termination reason: Unknown
% 0.22/0.45  % (31135)Termination phase: shuffling
% 0.22/0.45  
% 0.22/0.45  % (31135)Memory used [KB]: 1407
% 0.22/0.45  % (31135)Time elapsed: 0.004 s
% 0.22/0.45  % (31135)Instructions burned: 3 (million)
% 0.22/0.45  % (31135)------------------------------
% 0.22/0.45  % (31135)------------------------------
% 0.22/0.45  
% 0.22/0.45  % (31134)Memory used [KB]: 1407
% 0.22/0.45  % (31134)Time elapsed: 0.007 s
% 0.22/0.45  % (31134)Instructions burned: 8 (million)
% 0.22/0.45  % (31134)------------------------------
% 0.22/0.45  % (31134)------------------------------
% 0.22/0.46  % (31136)Instruction limit reached!
% 0.22/0.46  % (31136)------------------------------
% 0.22/0.46  % (31136)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46  % (31136)Termination reason: Unknown
% 0.22/0.46  % (31136)Termination phase: shuffling
% 0.22/0.46  
% 0.22/0.46  % (31136)Memory used [KB]: 1407
% 0.22/0.46  % (31136)Time elapsed: 0.005 s
% 0.22/0.46  % (31136)Instructions burned: 4 (million)
% 0.22/0.46  % (31136)------------------------------
% 0.22/0.46  % (31136)------------------------------
% 0.22/0.46  % (31120)First to succeed.
% 0.22/0.46  % (31137)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.46  % (31120)Refutation found. Thanks to Tanya!
% 0.22/0.46  % SZS status Theorem for theBenchmark
% 0.22/0.46  % SZS output start Proof for theBenchmark
% 0.22/0.46  thf(type_def_5, type, list: ($tType) > $tType).
% 0.22/0.46  thf(type_def_7, type, messageValue: ($tType) > $tType).
% 0.22/0.46  thf(type_def_8, type, message: ($tType * $tType) > $tType).
% 0.22/0.46  thf(type_def_9, type, nat: $tType).
% 0.22/0.46  thf(type_def_10, type, product_unit: $tType).
% 0.22/0.46  thf(type_def_11, type, configuration_ext: ($tType * $tType * $tType * $tType) > $tType).
% 0.22/0.46  thf(type_def_12, type, int: $tType).
% 0.22/0.46  thf(type_def_13, type, set: ($tType) > $tType).
% 0.22/0.46  thf(type_def_14, type, p: $tType).
% 0.22/0.46  thf(type_def_15, type, v: $tType).
% 0.22/0.46  thf(type_def_16, type, s: $tType).
% 0.22/0.46  thf(func_def_0, type, configuration_ext: ($tType * $tType * $tType * $tType) > $tType).
% 0.22/0.46  thf(func_def_1, type, messageValue: ($tType) > $tType).
% 0.22/0.46  thf(func_def_2, type, message: ($tType * $tType) > $tType).
% 0.22/0.46  thf(func_def_3, type, product_unit: $tType).
% 0.22/0.46  thf(func_def_4, type, list: ($tType) > $tType).
% 0.22/0.46  thf(func_def_5, type, set: ($tType) > $tType).
% 0.22/0.46  thf(func_def_6, type, nat: $tType).
% 0.22/0.46  thf(func_def_7, type, int: $tType).
% 0.22/0.46  thf(func_def_8, type, v: $tType).
% 0.22/0.46  thf(func_def_9, type, s: $tType).
% 0.22/0.46  thf(func_def_10, type, p: $tType).
% 0.22/0.46  thf(func_def_11, type, type: !>[X0: $tType]:($o)).
% 0.22/0.46  thf(func_def_12, type, size: !>[X0: $tType]:($o)).
% 0.22/0.46  thf(func_def_13, type, one: !>[X0: $tType]:($o)).
% 0.22/0.46  thf(func_def_14, type, zero: !>[X0: $tType]:($o)).
% 0.22/0.46  thf(func_def_15, type, ring_1: !>[X0: $tType]:($o)).
% 0.22/0.46  thf(func_def_16, type, ord: !>[X0: $tType]:($o)).
% 0.22/0.46  thf(func_def_17, type, ring_char_0: !>[X0: $tType]:($o)).
% 0.22/0.46  thf(func_def_18, type, order: !>[X0: $tType]:($o)).
% 0.22/0.46  thf(func_def_19, type, group_add: !>[X0: $tType]:($o)).
% 0.22/0.46  thf(func_def_20, type, semiring_1: !>[X0: $tType]:($o)).
% 0.22/0.46  thf(func_def_21, type, linorder: !>[X0: $tType]:($o)).
% 0.22/0.46  thf(func_def_22, type, semiring_char_0: !>[X0: $tType]:($o)).
% 0.22/0.46  thf(func_def_23, type, wellorder: !>[X0: $tType]:($o)).
% 0.22/0.46  thf(func_def_24, type, linordered_idom: !>[X0: $tType]:($o)).
% 0.22/0.46  thf(func_def_25, type, boolean_algebra: !>[X0: $tType]:($o)).
% 0.22/0.46  thf(func_def_26, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 0.22/0.46  thf(func_def_27, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 0.22/0.46  thf(func_def_28, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 0.22/0.46  thf(func_def_29, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 0.22/0.46  thf(func_def_30, type, bNF_Greatest_shift: !>[X0: $tType, X1: $tType]:((list @ X0 > X1) > X0 > list @ X0 > X1)).
% 0.22/0.46  thf(func_def_31, type, fLPThe1922692578sensus: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > messageValue @ X2 > X1) > (X0 > X1 > messageValue @ X2 > message @ X0 @ X2 > nat) > (X0 > X1) > $o)).
% 0.22/0.46  thf(func_def_32, 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)).
% 0.22/0.46  thf(func_def_33, 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)).
% 0.22/0.46  thf(func_def_34, type, fLPThe2031355932ionFLP: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > messageValue @ X2 > X1) > (X0 > X1 > messageValue @ X2 > message @ X0 @ X2 > nat) > (X0 > X1) > (nat > list @ configuration_ext @ X0 @ X2 @ X1 @ product_unit) > (nat > list @ message @ X0 @ X2) > $o)).
% 0.22/0.46  thf(func_def_35, type, one_one: !>[X0: $tType]:(X0)).
% 0.22/0.46  thf(func_def_36, type, uminus_uminus: !>[X0: $tType]:(X0 > X0)).
% 0.22/0.46  thf(func_def_37, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.22/0.46  thf(func_def_38, type, nat2: int > nat).
% 0.22/0.46  thf(func_def_39, type, ring_1_of_int: !>[X0: $tType]:(int > X0)).
% 0.22/0.46  thf(func_def_40, type, prefixList: !>[X0: $tType]:(list @ X0 > list @ X0 > $o)).
% 0.22/0.46  thf(func_def_41, type, gen_length: !>[X0: $tType]:(nat > list @ X0 > nat)).
% 0.22/0.46  thf(func_def_42, type, insert: !>[X0: $tType]:(X0 > list @ X0 > list @ X0)).
% 0.22/0.46  thf(func_def_43, type, cons: !>[X0: $tType]:(X0 > list @ X0 > list @ X0)).
% 0.22/0.46  thf(func_def_44, type, nil: !>[X0: $tType]:(list @ X0)).
% 0.22/0.46  thf(func_def_45, type, list_ex1: !>[X0: $tType]:((X0 > $o) > list @ X0 > $o)).
% 0.22/0.46  thf(func_def_46, type, n_lists: !>[X0: $tType]:(nat > list @ X0 > list @ list @ X0)).
% 0.22/0.46  thf(func_def_47, type, nths: !>[X0: $tType]:(list @ X0 > set @ nat > list @ X0)).
% 0.22/0.46  thf(func_def_48, type, product_lists: !>[X0: $tType]:(list @ list @ X0 > list @ list @ X0)).
% 0.22/0.46  thf(func_def_49, type, subseqs: !>[X0: $tType]:(list @ X0 > list @ list @ X0)).
% 0.22/0.46  thf(func_def_50, type, suc: nat > nat).
% 0.22/0.46  thf(func_def_51, type, semiring_1_of_nat: !>[X0: $tType]:(nat > X0)).
% 0.22/0.46  thf(func_def_52, type, size_size: !>[X0: $tType]:(X0 > nat)).
% 0.22/0.46  thf(func_def_53, type, ord_less: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.22/0.46  thf(func_def_54, type, ord_less_eq: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.22/0.46  thf(func_def_55, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 0.22/0.46  thf(func_def_56, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 0.22/0.46  thf(func_def_57, type, cfg: configuration_ext @ p @ v @ s @ product_unit).
% 0.22/0.46  thf(func_def_58, type, fe: nat > list @ configuration_ext @ p @ v @ s @ product_unit).
% 0.22/0.46  thf(func_def_59, type, m: nat).
% 0.22/0.46  thf(func_def_60, type, n: nat).
% 0.22/0.46  thf(func_def_61, type, na: nat).
% 0.22/0.46  thf(func_def_75, type, sP0: (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) > $o).
% 0.22/0.46  thf(func_def_76, type, sP1: (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) > $o).
% 0.22/0.46  thf(func_def_77, type, sK2: !>[X0: $tType]:((list @ X0 > list @ X0 > $o) > list @ X0)).
% 0.22/0.46  thf(func_def_78, type, sK3: !>[X0: $tType]:((list @ X0 > list @ X0 > $o) > list @ X0)).
% 0.22/0.46  thf(func_def_79, type, sK4: !>[X0: $tType]:((list @ X0 > list @ X0 > $o) > X0)).
% 0.22/0.46  thf(func_def_80, type, sK5: !>[X0: $tType]:((list @ X0 > list @ X0 > $o) > X0)).
% 0.22/0.46  thf(func_def_81, type, sK6: !>[X0: $tType]:((list @ X0 > list @ X0 > $o) > list @ X0)).
% 0.22/0.46  thf(func_def_82, type, sK7: !>[X0: $tType]:(nat > list @ X0)).
% 0.22/0.46  thf(func_def_83, type, sK8: (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).
% 0.22/0.46  thf(func_def_84, type, sK9: (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).
% 0.22/0.46  thf(func_def_85, type, sK10: (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).
% 0.22/0.46  thf(func_def_86, type, sK11: (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).
% 0.22/0.46  thf(func_def_87, type, sK12: (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).
% 0.22/0.46  thf(func_def_88, type, sK13: (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).
% 0.22/0.46  thf(func_def_89, type, sK14: (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).
% 0.22/0.46  thf(func_def_90, type, sK15: (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).
% 0.22/0.46  thf(func_def_91, type, sK16: (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).
% 0.22/0.46  thf(func_def_92, type, sK17: (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).
% 0.22/0.46  thf(func_def_93, type, sK18: (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).
% 0.22/0.46  thf(func_def_94, type, sK19: (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).
% 0.22/0.46  thf(func_def_95, type, sK20: (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).
% 0.22/0.46  thf(func_def_96, type, sK21: (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).
% 0.22/0.46  thf(func_def_97, type, sK22: nat > nat).
% 0.22/0.46  thf(func_def_98, type, sK23: nat > nat > nat).
% 0.22/0.46  thf(func_def_99, type, sK24: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > $o) > X1)).
% 0.22/0.46  thf(func_def_100, type, sK25: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > $o) > list @ X1)).
% 0.22/0.46  thf(func_def_101, type, sK26: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > $o) > X0)).
% 0.22/0.46  thf(func_def_102, type, sK27: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > $o) > list @ X0)).
% 0.22/0.46  thf(func_def_103, type, sK28: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > $o) > X1)).
% 0.22/0.46  thf(func_def_104, type, sK29: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > $o) > list @ X1)).
% 0.22/0.46  thf(func_def_105, type, sK30: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > $o) > X0)).
% 0.22/0.46  thf(func_def_106, type, sK31: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > $o) > list @ X0)).
% 0.22/0.46  thf(func_def_107, type, sK32: !>[X0: $tType]:(list @ X0 > X0)).
% 0.22/0.46  thf(func_def_108, type, sK33: !>[X0: $tType]:(list @ X0 > list @ X0)).
% 0.22/0.46  thf(func_def_109, type, sK34: (nat > $o) > nat > nat).
% 0.22/0.46  thf(func_def_110, type, sK35: (nat > $o) > nat).
% 0.22/0.46  thf(func_def_111, type, sK36: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > $o) > X0)).
% 0.22/0.46  thf(func_def_112, type, sK37: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > $o) > list @ X0)).
% 0.22/0.46  thf(func_def_113, type, sK38: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > $o) > X1)).
% 0.22/0.46  thf(func_def_114, type, sK39: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > $o) > list @ X1)).
% 0.22/0.46  thf(func_def_115, type, sK40: (nat > $o) > nat).
% 0.22/0.46  thf(func_def_116, type, sK41: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 0.22/0.46  thf(func_def_117, type, sK42: !>[X0: $tType]:(list @ X0 > X0)).
% 0.22/0.46  thf(func_def_118, type, sK43: !>[X0: $tType]:(list @ X0 > X0)).
% 0.22/0.46  thf(func_def_119, type, sK44: !>[X0: $tType]:(list @ X0 > list @ X0)).
% 0.22/0.46  thf(func_def_120, type, sK45: !>[X0: $tType]:(list @ X0 > X0)).
% 0.22/0.46  thf(func_def_121, type, sK46: (nat > $o) > nat).
% 0.22/0.46  thf(func_def_122, type, sK47: nat > nat).
% 0.22/0.46  thf(func_def_123, type, sK48: nat > nat).
% 0.22/0.46  thf(func_def_124, type, sK49: !>[X0: $tType]:((list @ X0 > list @ X0 > $o) > list @ X0)).
% 0.22/0.46  thf(func_def_125, type, sK50: !>[X0: $tType]:((list @ X0 > list @ X0 > $o) > list @ X0)).
% 0.22/0.46  thf(func_def_126, type, sK51: !>[X0: $tType]:((list @ X0 > list @ X0 > $o) > X0)).
% 0.22/0.46  thf(func_def_127, type, sK52: !>[X0: $tType]:((list @ X0 > list @ X0 > $o) > list @ X0)).
% 0.22/0.46  thf(func_def_128, type, sK53: !>[X0: $tType]:((list @ X0 > list @ X0 > $o) > X0)).
% 0.22/0.46  thf(func_def_129, type, sK54: !>[X0: $tType]:((list @ X0 > list @ X0 > $o) > list @ X0)).
% 0.22/0.46  thf(func_def_130, type, sK55: (nat > $o) > nat > nat).
% 0.22/0.46  thf(func_def_131, type, sK56: (nat > $o) > nat > nat).
% 0.22/0.46  thf(func_def_132, type, sK57: !>[X0: $tType]:(list @ X0 > X0)).
% 0.22/0.46  thf(func_def_133, type, sK58: !>[X0: $tType]:(list @ X0 > list @ X0)).
% 0.22/0.46  thf(func_def_134, type, sK59: !>[X0: $tType]:(list @ X0 > list @ X0 > list @ X0)).
% 0.22/0.46  thf(func_def_135, type, sK60: !>[X0: $tType]:(list @ X0 > list @ X0 > list @ X0)).
% 0.22/0.46  thf(func_def_136, type, sK61: !>[X0: $tType]:(list @ X0 > list @ X0 > X0)).
% 0.22/0.46  thf(func_def_137, type, sK62: !>[X0: $tType]:((list @ X0 > list @ X0 > $o) > X0)).
% 0.22/0.46  thf(func_def_138, type, sK63: !>[X0: $tType]:((list @ X0 > list @ X0 > $o) > list @ X0)).
% 0.22/0.46  thf(func_def_139, type, sK64: !>[X0: $tType]:((list @ X0 > list @ X0 > $o) > list @ X0)).
% 0.22/0.46  thf(func_def_140, type, sK65: !>[X0: $tType]:((list @ X0 > list @ X0 > $o) > list @ X0)).
% 0.22/0.46  thf(func_def_141, type, sK66: !>[X0: $tType]:((list @ X0 > $o) > list @ X0)).
% 0.22/0.46  thf(func_def_142, type, sK67: !>[X0: $tType]:(list @ X0 > nat > X0)).
% 0.22/0.46  thf(func_def_143, type, sK68: !>[X0: $tType]:(list @ X0 > nat > list @ X0)).
% 0.22/0.46  thf(func_def_144, type, sK69: nat > nat > nat).
% 0.22/0.46  thf(func_def_145, type, sK70: nat > nat > nat).
% 0.22/0.46  thf(func_def_146, type, sK71: !>[X0: $tType]:((X0 > $o) > (X0 > nat) > X0)).
% 0.22/0.46  thf(func_def_147, type, sK72: !>[X0: $tType]:((X0 > $o) > (X0 > nat) > X0)).
% 0.22/0.46  thf(func_def_148, type, sK73: (nat > $o) > nat).
% 0.22/0.46  thf(func_def_149, type, sK74: !>[X0: $tType]:((list @ X0 > $o) > X0)).
% 0.22/0.46  thf(func_def_150, type, sK75: !>[X0: $tType]:((list @ X0 > $o) > X0)).
% 0.22/0.46  thf(func_def_151, type, sK76: !>[X0: $tType]:((list @ X0 > $o) > X0)).
% 0.22/0.46  thf(func_def_152, type, sK77: !>[X0: $tType]:((list @ X0 > $o) > list @ X0)).
% 0.22/0.46  thf(func_def_153, type, sK78: (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).
% 0.22/0.46  thf(func_def_154, type, sK79: (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).
% 0.22/0.46  thf(func_def_155, type, sK80: (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).
% 0.22/0.46  thf(func_def_156, 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 > (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).
% 0.22/0.46  thf(func_def_157, 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) > (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).
% 0.22/0.46  thf(func_def_158, 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) > (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).
% 0.22/0.46  thf(func_def_159, 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) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v).
% 0.22/0.46  thf(func_def_160, 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) > nat).
% 0.22/0.46  thf(func_def_161, 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).
% 0.22/0.46  thf(func_def_162, 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) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit).
% 0.22/0.46  thf(func_def_163, 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) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v).
% 0.22/0.46  thf(func_def_164, 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).
% 0.22/0.46  thf(func_def_165, 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) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit).
% 0.22/0.46  thf(func_def_166, 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) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v).
% 0.22/0.46  thf(func_def_167, type, sK92: !>[X0: $tType]:(list @ list @ X0 > list @ list @ X0)).
% 0.22/0.46  thf(func_def_168, type, sK93: !>[X0: $tType]:(list @ list @ X0 > X0)).
% 0.22/0.46  thf(func_def_169, type, sK94: !>[X0: $tType]:(list @ list @ X0 > list @ X0)).
% 0.22/0.46  thf(func_def_170, type, sK95: !>[X0: $tType]:(list @ list @ X0 > list @ list @ X0)).
% 0.22/0.46  thf(func_def_171, type, sK96: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o)).
% 0.22/0.46  thf(func_def_172, type, sK97: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o) > X0)).
% 0.22/0.46  thf(func_def_173, type, sK98: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o)).
% 0.22/0.46  thf(func_def_174, type, sK99: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o) > X0)).
% 0.22/0.46  thf(func_def_175, type, sK100: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o) > X0)).
% 0.22/0.46  thf(func_def_176, type, sK101: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o) > list @ X0)).
% 0.22/0.46  thf(func_def_177, type, sK102: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o)).
% 0.22/0.46  thf(func_def_178, type, sK103: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o)).
% 0.22/0.46  thf(func_def_179, type, sK104: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o) > X0)).
% 0.22/0.46  thf(func_def_180, type, sK105: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o) > list @ X0)).
% 0.22/0.46  thf(func_def_181, type, sK106: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o)).
% 0.22/0.46  thf(func_def_182, type, sK107: !>[X0: $tType]:((nat > X0 > X0 > $o) > (nat > X0 > $o) > X0)).
% 0.22/0.46  thf(func_def_183, type, sK108: !>[X0: $tType]:((nat > X0 > X0 > $o) > (nat > X0 > $o) > nat)).
% 0.22/0.46  thf(func_def_184, type, sK109: !>[X0: $tType]:((nat > X0 > X0 > $o) > (nat > X0 > $o) > nat > X0)).
% 0.22/0.46  thf(func_def_185, type, sK110: (nat > $o) > nat).
% 0.22/0.46  thf(func_def_186, type, sK111: (nat > nat > $o) > nat).
% 0.22/0.46  thf(func_def_187, type, sK112: (nat > nat > $o) > nat).
% 0.22/0.46  thf(func_def_188, type, sK113: (nat > nat > $o) > nat).
% 0.22/0.46  thf(func_def_189, type, sK114: (nat > nat > $o) > nat).
% 0.22/0.46  thf(func_def_190, type, sK115: !>[X0: $tType]:(nat > list @ X0 > X0)).
% 0.22/0.46  thf(func_def_191, type, sK116: !>[X0: $tType]:(nat > list @ X0 > list @ X0)).
% 0.22/0.46  thf(func_def_192, type, sK117: (nat > $o) > nat > nat).
% 0.22/0.46  thf(func_def_193, type, sK118: (nat > $o) > nat > nat).
% 0.22/0.46  thf(func_def_194, type, sK119: nat > nat).
% 0.22/0.46  thf(func_def_195, type, sK120: (nat > $o) > nat > nat).
% 0.22/0.46  thf(func_def_196, type, sK121: (nat > $o) > nat > nat).
% 0.22/0.46  thf(func_def_197, type, sK122: nat > nat > nat).
% 0.22/0.46  thf(func_def_198, type, sK123: !>[X0: $tType]:(list @ X0 > X0)).
% 0.22/0.46  thf(func_def_199, type, sK124: !>[X0: $tType]:(list @ X0 > list @ X0)).
% 0.22/0.46  thf(func_def_200, type, sK125: (nat > $o) > nat > nat).
% 0.22/0.46  thf(func_def_201, type, sK126: (nat > $o) > nat > nat).
% 0.22/0.46  thf(func_def_202, type, sK127: !>[X0: $tType]:((X0 > nat) > (X0 > $o) > X0)).
% 0.22/0.46  thf(func_def_203, type, sK128: (nat > $o) > nat).
% 0.22/0.46  thf(func_def_204, type, sK129: (nat > nat > $o) > nat).
% 0.22/0.46  thf(func_def_205, type, sK130: (nat > nat > $o) > nat).
% 0.22/0.46  thf(func_def_206, type, sK131: (nat > nat > $o) > nat).
% 0.22/0.46  thf(func_def_207, type, sK132: (nat > nat > $o) > nat).
% 0.22/0.46  thf(func_def_208, type, sK133: !>[X0: $tType]:((list @ X0 > $o) > X0)).
% 0.22/0.46  thf(func_def_209, type, sK134: !>[X0: $tType]:((list @ X0 > $o) > list @ X0)).
% 0.22/0.46  thf(func_def_210, type, sK135: !>[X0: $tType, X1: $tType, X2: $tType]:((list @ X1 > list @ X0 > list @ X2 > $o) > X1)).
% 0.22/0.46  thf(func_def_211, type, sK136: !>[X0: $tType, X1: $tType, X2: $tType]:((list @ X1 > list @ X0 > list @ X2 > $o) > list @ X1)).
% 0.22/0.46  thf(func_def_212, type, sK137: !>[X0: $tType, X1: $tType, X2: $tType]:((list @ X1 > list @ X0 > list @ X2 > $o) > X0)).
% 0.22/0.46  thf(func_def_213, type, sK138: !>[X0: $tType, X1: $tType, X2: $tType]:((list @ X1 > list @ X0 > list @ X2 > $o) > list @ X0)).
% 0.22/0.46  thf(func_def_214, type, sK139: !>[X0: $tType, X1: $tType, X2: $tType]:((list @ X1 > list @ X0 > list @ X2 > $o) > X2)).
% 0.22/0.46  thf(func_def_215, type, sK140: !>[X0: $tType, X1: $tType, X2: $tType]:((list @ X1 > list @ X0 > list @ X2 > $o) > list @ X2)).
% 0.22/0.46  thf(func_def_216, type, sK141: (nat > $o) > nat > nat).
% 0.22/0.46  thf(func_def_217, type, sK142: (nat > $o) > nat > nat).
% 0.22/0.46  thf(func_def_218, type, sK143: !>[X0: $tType]:((list @ X0 > $o) > X0)).
% 0.22/0.46  thf(func_def_219, type, sK144: !>[X0: $tType]:((list @ X0 > $o) > X0)).
% 0.22/0.46  thf(func_def_220, type, sK145: !>[X0: $tType]:((list @ X0 > $o) > X0)).
% 0.22/0.46  thf(func_def_221, type, sK146: !>[X0: $tType]:((list @ X0 > $o) > list @ X0)).
% 0.22/0.46  thf(func_def_222, type, sK147: !>[X0: $tType]:((list @ X0 > $o) > X0)).
% 0.22/0.46  thf(func_def_223, type, sK148: !>[X0: $tType]:((list @ X0 > $o) > list @ X0)).
% 0.22/0.46  thf(func_def_224, type, sK149: !>[X0: $tType]:((list @ X0 > $o) > X0)).
% 0.22/0.46  thf(func_def_225, type, sK150: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1)).
% 0.22/0.46  thf(func_def_226, type, sK151: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1 > $o) > X0)).
% 0.22/0.46  thf(func_def_227, type, sK152: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0)).
% 0.22/0.46  thf(func_def_228, type, sK153: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1)).
% 0.22/0.46  thf(func_def_229, type, sK154: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1)).
% 0.22/0.46  thf(func_def_230, type, sK155: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1)).
% 0.22/0.46  thf(func_def_232, type, ph157: !>[X0: $tType]:(X0)).
% 0.22/0.46  thf(f1375,plain,(
% 0.22/0.46    $false),
% 0.22/0.46    inference(subsumption_resolution,[],[f1373,f1307])).
% 0.22/0.46  thf(f1307,plain,(
% 0.22/0.46    ((ord_less @ nat @ m @ na) = $true)),
% 0.22/0.46    inference(cnf_transformation,[],[f630])).
% 0.22/0.46  thf(f630,plain,(
% 0.22/0.46    ((ord_less @ nat @ m @ na) = $true)),
% 0.22/0.46    inference(fool_elimination,[],[f629])).
% 0.22/0.46  thf(f629,plain,(
% 0.22/0.46    (ord_less @ nat @ m @ na)),
% 0.22/0.46    inference(rectify,[],[f1])).
% 0.22/0.46  thf(f1,axiom,(
% 0.22/0.46    (ord_less @ nat @ m @ na)),
% 0.22/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062m_A_060_An_092_060close_062)).
% 0.22/0.46  thf(f1373,plain,(
% 0.22/0.46    ((ord_less @ nat @ m @ na) != $true)),
% 0.22/0.46    inference(trivial_inequality_removal,[],[f1371])).
% 0.22/0.46  thf(f1371,plain,(
% 0.22/0.46    ($true != $true) | ((ord_less @ nat @ m @ na) != $true)),
% 0.22/0.46    inference(superposition,[],[f1268,f1199])).
% 0.22/0.46  thf(f1199,plain,(
% 0.22/0.46    ((prefixList @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ m) @ (fe @ na)) = $true) | ((ord_less @ nat @ m @ na) != $true)),
% 0.22/0.46    inference(cnf_transformation,[],[f843])).
% 0.22/0.46  thf(f843,plain,(
% 0.22/0.46    ((ord_less @ nat @ m @ na) != $true) | ((prefixList @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ m) @ (fe @ na)) = $true)),
% 0.22/0.46    inference(ennf_transformation,[],[f490])).
% 0.22/0.46  thf(f490,plain,(
% 0.22/0.46    ((ord_less @ nat @ m @ na) = $true) => ((prefixList @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ m) @ (fe @ na)) = $true)),
% 0.22/0.46    inference(fool_elimination,[],[f489])).
% 0.22/0.46  thf(f489,plain,(
% 0.22/0.46    (ord_less @ nat @ m @ na) => (prefixList @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ m) @ (fe @ na))),
% 0.22/0.46    inference(rectify,[],[f3])).
% 0.22/0.46  thf(f3,axiom,(
% 0.22/0.46    (ord_less @ nat @ m @ na) => (prefixList @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ m) @ (fe @ na))),
% 0.22/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_IA_I1_J)).
% 0.22/0.46  thf(f1268,plain,(
% 0.22/0.46    ((prefixList @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ m) @ (fe @ na)) != $true)),
% 0.22/0.46    inference(cnf_transformation,[],[f785])).
% 0.22/0.46  thf(f785,plain,(
% 0.22/0.46    ((prefixList @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ m) @ (fe @ na)) != $true)),
% 0.22/0.46    inference(flattening,[],[f390])).
% 0.22/0.46  thf(f390,plain,(
% 0.22/0.46    ~((prefixList @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ m) @ (fe @ na)) = $true)),
% 0.22/0.46    inference(fool_elimination,[],[f389])).
% 0.22/0.46  thf(f389,plain,(
% 0.22/0.46    ~(prefixList @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ m) @ (fe @ na))),
% 0.22/0.46    inference(rectify,[],[f295])).
% 0.22/0.46  thf(f295,negated_conjecture,(
% 0.22/0.46    ~(prefixList @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ m) @ (fe @ na))),
% 0.22/0.46    inference(negated_conjecture,[],[f294])).
% 0.22/0.46  thf(f294,conjecture,(
% 0.22/0.46    (prefixList @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ m) @ (fe @ na))),
% 0.22/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.22/0.46  % SZS output end Proof for theBenchmark
% 0.22/0.46  % (31120)------------------------------
% 0.22/0.46  % (31120)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46  % (31120)Termination reason: Refutation
% 0.22/0.46  
% 0.22/0.46  % (31120)Memory used [KB]: 7164
% 0.22/0.46  % (31120)Time elapsed: 0.058 s
% 0.22/0.46  % (31120)Instructions burned: 91 (million)
% 0.22/0.46  % (31120)------------------------------
% 0.22/0.46  % (31120)------------------------------
% 0.22/0.46  % (31109)Success in time 0.093 s
% 0.22/0.46  % Vampire---4.8 exiting
%------------------------------------------------------------------------------