TSTP Solution File: DAT159^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : DAT159^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.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 19:49:54 EDT 2024

% Result   : Theorem 0.14s 0.42s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : DAT159^1 : TPTP v8.2.0. Released v7.0.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n004.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   : Sun May 19 23:22:53 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/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39  % (316)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)
% 0.14/0.39  % (309)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.39  % (311)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)
% 0.14/0.39  % (310)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)
% 0.14/0.39  % (312)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.40  % (313)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  % (314)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  % (312)Instruction limit reached!
% 0.14/0.40  % (312)------------------------------
% 0.14/0.40  % (312)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (312)Termination reason: Unknown
% 0.14/0.40  % (312)Termination phase: shuffling
% 0.14/0.40  
% 0.14/0.40  % (313)Instruction limit reached!
% 0.14/0.40  % (313)------------------------------
% 0.14/0.40  % (313)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (313)Termination reason: Unknown
% 0.14/0.40  % (313)Termination phase: shuffling
% 0.14/0.40  
% 0.14/0.40  % (313)Memory used [KB]: 1279
% 0.14/0.40  % (313)Time elapsed: 0.003 s
% 0.14/0.40  % (313)Instructions burned: 2 (million)
% 0.14/0.40  % (313)------------------------------
% 0.14/0.40  % (313)------------------------------
% 0.14/0.40  % (312)Memory used [KB]: 1279
% 0.14/0.40  % (312)Time elapsed: 0.003 s
% 0.14/0.40  % (312)Instructions burned: 2 (million)
% 0.14/0.40  % (312)------------------------------
% 0.14/0.40  % (312)------------------------------
% 0.14/0.40  % (316)Instruction limit reached!
% 0.14/0.40  % (316)------------------------------
% 0.14/0.40  % (316)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (316)Termination reason: Unknown
% 0.14/0.40  % (316)Termination phase: shuffling
% 0.14/0.40  
% 0.14/0.40  % (316)Memory used [KB]: 1407
% 0.14/0.40  % (316)Time elapsed: 0.004 s
% 0.14/0.40  % (316)Instructions burned: 4 (million)
% 0.14/0.40  % (316)------------------------------
% 0.14/0.40  % (316)------------------------------
% 0.14/0.40  % (315)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  % (310)Instruction limit reached!
% 0.14/0.40  % (310)------------------------------
% 0.14/0.40  % (310)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (310)Termination reason: Unknown
% 0.14/0.40  % (310)Termination phase: shuffling
% 0.14/0.40  
% 0.14/0.40  % (310)Memory used [KB]: 1407
% 0.14/0.40  % (310)Time elapsed: 0.005 s
% 0.14/0.40  % (310)Instructions burned: 5 (million)
% 0.14/0.40  % (310)------------------------------
% 0.14/0.40  % (310)------------------------------
% 0.14/0.41  % (315)Instruction limit reached!
% 0.14/0.41  % (315)------------------------------
% 0.14/0.41  % (315)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41  % (315)Termination reason: Unknown
% 0.14/0.41  % (315)Termination phase: Property scanning
% 0.14/0.41  
% 0.14/0.41  % (315)Memory used [KB]: 1791
% 0.14/0.41  % (315)Time elapsed: 0.014 s
% 0.14/0.41  % (315)Instructions burned: 18 (million)
% 0.14/0.41  % (315)------------------------------
% 0.14/0.41  % (315)------------------------------
% 0.14/0.41  % (311)Instruction limit reached!
% 0.14/0.41  % (311)------------------------------
% 0.14/0.41  % (311)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41  % (311)Termination reason: Unknown
% 0.14/0.41  % (311)Termination phase: Property scanning
% 0.14/0.41  
% 0.14/0.41  % (311)Memory used [KB]: 1791
% 0.14/0.41  % (311)Time elapsed: 0.018 s
% 0.14/0.41  % (311)Instructions burned: 27 (million)
% 0.14/0.41  % (311)------------------------------
% 0.14/0.41  % (311)------------------------------
% 0.14/0.41  % (317)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)
% 0.14/0.41  % (318)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)
% 0.14/0.41  % (319)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)
% 0.14/0.41  % (320)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)
% 0.14/0.41  % (319)Instruction limit reached!
% 0.14/0.41  % (319)------------------------------
% 0.14/0.41  % (319)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41  % (319)Termination reason: Unknown
% 0.14/0.41  % (319)Termination phase: shuffling
% 0.14/0.41  
% 0.14/0.41  % (319)Memory used [KB]: 1279
% 0.14/0.41  % (319)Time elapsed: 0.004 s
% 0.14/0.41  % (319)Instructions burned: 3 (million)
% 0.14/0.41  % (319)------------------------------
% 0.14/0.41  % (319)------------------------------
% 0.14/0.42  % (314)First to succeed.
% 0.14/0.42  % (318)Instruction limit reached!
% 0.14/0.42  % (318)------------------------------
% 0.14/0.42  % (318)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42  % (318)Termination reason: Unknown
% 0.14/0.42  % (318)Termination phase: shuffling
% 0.14/0.42  
% 0.14/0.42  % (318)Memory used [KB]: 1663
% 0.14/0.42  % (318)Time elapsed: 0.012 s
% 0.14/0.42  % (318)Instructions burned: 15 (million)
% 0.14/0.42  % (318)------------------------------
% 0.14/0.42  % (318)------------------------------
% 0.14/0.42  % (314)Refutation found. Thanks to Tanya!
% 0.14/0.42  % SZS status Theorem for theBenchmark
% 0.14/0.42  % SZS output start Proof for theBenchmark
% 0.14/0.42  thf(type_def_5, type, itself: ($tType) > $tType).
% 0.14/0.42  thf(type_def_7, type, code_natural: $tType).
% 0.14/0.42  thf(type_def_8, type, nat: $tType).
% 0.14/0.42  thf(type_def_9, type, int: $tType).
% 0.14/0.42  thf(type_def_10, type, real: $tType).
% 0.14/0.42  thf(func_def_0, type, code_natural: $tType).
% 0.14/0.42  thf(func_def_1, type, real: $tType).
% 0.14/0.42  thf(func_def_2, type, nat: $tType).
% 0.14/0.42  thf(func_def_3, type, int: $tType).
% 0.14/0.42  thf(func_def_4, type, itself: ($tType) > $tType).
% 0.14/0.42  thf(func_def_5, type, type: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_6, type, zero: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_7, type, field: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_8, type, ord: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_9, type, order: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_10, type, no_bot: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_11, type, no_top: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_12, type, semiring_1: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_13, type, linorder: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_14, type, preorder: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_15, type, zero_neq_one: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_16, type, semiring_char_0: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_17, type, wellorder: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_18, type, division_ring: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_19, type, dense_order: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_20, type, linordered_idom: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_21, type, linordered_field: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_22, type, dense_linorder: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_23, type, linordered_semidom: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_24, type, semiri134348788visors: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_25, type, archim1804426504_field: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_26, type, canoni770627133id_add: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_27, type, condit1656338222tinuum: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_28, type, condit1037483654norder: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.14/0.42  thf(func_def_29, type, code_case_natural: !>[X0: $tType]:(X0 > (code_natural > X0) > code_natural > X0)).
% 0.14/0.42  thf(func_def_30, type, code_size_natural: code_natural > nat).
% 0.14/0.42  thf(func_def_31, type, inverse_inverse: !>[X0: $tType]:(X0 > X0)).
% 0.14/0.42  thf(func_def_32, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.14/0.42  thf(func_def_33, type, hammin1195055315smooth: nat > $o).
% 0.14/0.42  thf(func_def_34, type, if: !>[X0: $tType]:($o > X0 > X0 > X0)).
% 0.14/0.42  thf(func_def_35, type, semiring_1_of_nat: !>[X0: $tType]:(nat > X0)).
% 0.14/0.42  thf(func_def_36, type, size_size: !>[X0: $tType]:(X0 > nat)).
% 0.14/0.42  thf(func_def_37, type, ord_less: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.14/0.42  thf(func_def_38, type, ord_less_eq: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.14/0.42  thf(func_def_39, type, power_power: !>[X0: $tType]:(X0 > nat > X0)).
% 0.14/0.42  thf(func_def_40, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.14/0.42  thf(func_def_41, type, zero_neq_one_of_bool: !>[X0: $tType]:($o > X0)).
% 0.14/0.42  thf(func_def_42, type, n: nat).
% 0.14/0.42  thf(func_def_55, type, sK0: !>[X0: $tType]:((X0 > $o) > (X0 > nat) > X0)).
% 0.14/0.42  thf(func_def_56, type, sK1: !>[X0: $tType]:((X0 > $o) > (X0 > nat) > X0)).
% 0.14/0.42  thf(func_def_57, type, sK2: (nat > nat) > nat).
% 0.14/0.42  thf(func_def_58, type, sK3: (nat > nat) > nat).
% 0.14/0.42  thf(func_def_59, type, sK4: !>[X0: $tType]:((X0 > $o) > (X0 > nat) > X0)).
% 0.14/0.42  thf(func_def_60, type, sK5: (nat > $o) > nat).
% 0.14/0.42  thf(func_def_61, type, sK6: !>[X0: $tType]:((X0 > nat) > (X0 > $o) > X0)).
% 0.14/0.42  thf(func_def_62, type, sK7: nat > (nat > $o) > nat).
% 0.14/0.42  thf(func_def_63, type, sK8: !>[X0: $tType]:((X0 > nat) > (X0 > $o) > X0)).
% 0.14/0.42  thf(func_def_64, type, sK9: !>[X0: $tType]:(nat > (X0 > nat) > (X0 > $o) > X0)).
% 0.14/0.42  thf(func_def_65, type, sK10: (nat > $o) > nat).
% 0.14/0.42  thf(func_def_66, type, sK11: (nat > $o) > nat).
% 0.14/0.42  thf(func_def_67, type, sK12: !>[X0: $tType]:((X0 > $o) > (X0 > nat) > X0)).
% 0.14/0.42  thf(func_def_69, type, ph14: !>[X0: $tType]:(X0)).
% 0.14/0.42  thf(f1130,plain,(
% 0.14/0.42    $false),
% 0.14/0.42    inference(subsumption_resolution,[],[f1113,f1044])).
% 0.14/0.42  thf(f1044,plain,(
% 0.14/0.42    ((hammin1195055315smooth @ n) = $true)),
% 0.14/0.42    inference(cnf_transformation,[],[f659])).
% 0.14/0.42  thf(f659,plain,(
% 0.14/0.42    ((hammin1195055315smooth @ n) = $true)),
% 0.14/0.42    inference(fool_elimination,[],[f658])).
% 0.14/0.42  thf(f658,plain,(
% 0.14/0.42    (hammin1195055315smooth @ n)),
% 0.14/0.42    inference(rectify,[],[f322])).
% 0.14/0.42  thf(f322,axiom,(
% 0.14/0.42    (hammin1195055315smooth @ n)),
% 0.14/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.14/0.42  thf(f1113,plain,(
% 0.14/0.42    ((hammin1195055315smooth @ n) != $true)),
% 0.14/0.42    inference(superposition,[],[f1027,f1111])).
% 0.14/0.42  thf(f1111,plain,(
% 0.14/0.42    (zero_zero @ nat = n)),
% 0.14/0.42    inference(trivial_inequality_removal,[],[f1101])).
% 0.14/0.42  thf(f1101,plain,(
% 0.14/0.42    (zero_zero @ nat = n) | ($true != $true)),
% 0.14/0.42    inference(superposition,[],[f1026,f1060])).
% 0.14/0.42  thf(f1060,plain,(
% 0.14/0.42    ( ! [X0 : nat] : (((ord_less @ nat @ zero_zero @ nat @ X0) = $true) | (zero_zero @ nat = X0)) )),
% 0.14/0.42    inference(cnf_transformation,[],[f1013])).
% 0.14/0.42  thf(f1013,plain,(
% 0.14/0.42    ! [X0 : nat] : ((((ord_less @ nat @ zero_zero @ nat @ X0) != $true) | (zero_zero @ nat != X0)) & ((zero_zero @ nat = X0) | ((ord_less @ nat @ zero_zero @ nat @ X0) = $true)))),
% 0.14/0.42    inference(nnf_transformation,[],[f959])).
% 0.14/0.42  thf(f959,plain,(
% 0.14/0.42    ! [X0 : nat] : (((ord_less @ nat @ zero_zero @ nat @ X0) != $true) <=> (zero_zero @ nat = X0))),
% 0.14/0.42    inference(flattening,[],[f901])).
% 0.14/0.42  thf(f901,plain,(
% 0.14/0.42    ! [X0 : nat] : (~((ord_less @ nat @ zero_zero @ nat @ X0) = $true) <=> (zero_zero @ nat = X0))),
% 0.14/0.42    inference(fool_elimination,[],[f900])).
% 0.14/0.42  thf(f900,plain,(
% 0.14/0.42    ! [X0 : nat] : (~(ord_less @ nat @ zero_zero @ nat @ X0) = (zero_zero @ nat = X0))),
% 0.14/0.42    inference(rectify,[],[f5])).
% 0.14/0.42  thf(f5,axiom,(
% 0.14/0.42    ! [X2 : nat] : (~(ord_less @ nat @ zero_zero @ nat @ X2) = (zero_zero @ nat = X2))),
% 0.14/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_not__gr0)).
% 0.14/0.42  thf(f1026,plain,(
% 0.14/0.42    ((ord_less @ nat @ zero_zero @ nat @ n) != $true)),
% 0.14/0.42    inference(cnf_transformation,[],[f952])).
% 0.14/0.42  thf(f952,plain,(
% 0.14/0.42    ((ord_less @ nat @ zero_zero @ nat @ n) != $true)),
% 0.14/0.42    inference(flattening,[],[f401])).
% 0.14/0.42  thf(f401,plain,(
% 0.14/0.42    ~((ord_less @ nat @ zero_zero @ nat @ n) = $true)),
% 0.14/0.42    inference(fool_elimination,[],[f400])).
% 0.14/0.42  thf(f400,plain,(
% 0.14/0.42    ~(ord_less @ nat @ zero_zero @ nat @ n)),
% 0.14/0.42    inference(rectify,[],[f324])).
% 0.14/0.42  thf(f324,negated_conjecture,(
% 0.14/0.42    ~(ord_less @ nat @ zero_zero @ nat @ n)),
% 0.14/0.42    inference(negated_conjecture,[],[f323])).
% 0.14/0.42  thf(f323,conjecture,(
% 0.14/0.42    (ord_less @ nat @ zero_zero @ nat @ n)),
% 0.14/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 0.14/0.42  thf(f1027,plain,(
% 0.14/0.42    ((hammin1195055315smooth @ zero_zero @ nat) != $true)),
% 0.14/0.42    inference(cnf_transformation,[],[f967])).
% 0.14/0.42  thf(f967,plain,(
% 0.14/0.42    ((hammin1195055315smooth @ zero_zero @ nat) != $true)),
% 0.14/0.42    inference(flattening,[],[f551])).
% 0.14/0.42  thf(f551,plain,(
% 0.14/0.42    ~((hammin1195055315smooth @ zero_zero @ nat) = $true)),
% 0.14/0.42    inference(fool_elimination,[],[f550])).
% 0.14/0.42  thf(f550,plain,(
% 0.14/0.42    ~(hammin1195055315smooth @ zero_zero @ nat)),
% 0.14/0.42    inference(rectify,[],[f1])).
% 0.14/0.42  thf(f1,axiom,(
% 0.14/0.42    ~(hammin1195055315smooth @ zero_zero @ nat)),
% 0.14/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_smooth__0)).
% 0.14/0.42  % SZS output end Proof for theBenchmark
% 0.14/0.42  % (314)------------------------------
% 0.14/0.42  % (314)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42  % (314)Termination reason: Refutation
% 0.14/0.42  
% 0.14/0.42  % (314)Memory used [KB]: 6396
% 0.14/0.42  % (314)Time elapsed: 0.028 s
% 0.14/0.42  % (314)Instructions burned: 40 (million)
% 0.14/0.42  % (314)------------------------------
% 0.14/0.42  % (314)------------------------------
% 0.14/0.42  % (308)Success in time 0.062 s
% 0.14/0.42  % Vampire---4.8 exiting
%------------------------------------------------------------------------------