TSTP Solution File: ITP114^2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP114^2 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n014.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 22:33:44 EDT 2024

% Result   : Theorem 0.19s 0.39s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : ITP114^2 : TPTP v8.2.0. Released v7.5.0.
% 0.03/0.13  % 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
% 0.13/0.33  % Computer : n014.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Sat May 18 17:28:53 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a TH1_THM_EQU_NAR problem
% 0.13/0.34  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
% 0.19/0.38  % (1679)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)
% 0.19/0.38  % (1678)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.19/0.38  % (1680)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)
% 0.19/0.38  % (1683)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)
% 0.19/0.38  % (1682)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)
% 0.19/0.38  % (1684)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.19/0.38  % (1681)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.38  % (1685)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)
% 0.19/0.38  % (1681)Instruction limit reached!
% 0.19/0.38  % (1681)------------------------------
% 0.19/0.38  % (1681)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.38  % (1681)Termination reason: Unknown
% 0.19/0.38  % (1681)Termination phase: shuffling
% 0.19/0.38  
% 0.19/0.38  % (1682)Instruction limit reached!
% 0.19/0.38  % (1682)------------------------------
% 0.19/0.38  % (1682)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.38  % (1682)Termination reason: Unknown
% 0.19/0.38  % (1682)Termination phase: shuffling
% 0.19/0.38  
% 0.19/0.38  % (1682)Memory used [KB]: 1279
% 0.19/0.38  % (1682)Time elapsed: 0.003 s
% 0.19/0.38  % (1682)Instructions burned: 3 (million)
% 0.19/0.38  % (1682)------------------------------
% 0.19/0.38  % (1682)------------------------------
% 0.19/0.38  % (1681)Memory used [KB]: 1279
% 0.19/0.38  % (1681)Time elapsed: 0.003 s
% 0.19/0.38  % (1681)Instructions burned: 2 (million)
% 0.19/0.38  % (1681)------------------------------
% 0.19/0.38  % (1681)------------------------------
% 0.19/0.38  % (1685)Instruction limit reached!
% 0.19/0.38  % (1685)------------------------------
% 0.19/0.38  % (1685)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.38  % (1685)Termination reason: Unknown
% 0.19/0.38  % (1685)Termination phase: shuffling
% 0.19/0.38  
% 0.19/0.38  % (1685)Memory used [KB]: 1407
% 0.19/0.38  % (1685)Time elapsed: 0.003 s
% 0.19/0.38  % (1685)Instructions burned: 3 (million)
% 0.19/0.38  % (1685)------------------------------
% 0.19/0.38  % (1685)------------------------------
% 0.19/0.38  % (1679)Instruction limit reached!
% 0.19/0.38  % (1679)------------------------------
% 0.19/0.38  % (1679)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.38  % (1679)Termination reason: Unknown
% 0.19/0.38  % (1679)Termination phase: shuffling
% 0.19/0.38  
% 0.19/0.38  % (1679)Memory used [KB]: 1407
% 0.19/0.38  % (1679)Time elapsed: 0.004 s
% 0.19/0.38  % (1679)Instructions burned: 4 (million)
% 0.19/0.38  % (1679)------------------------------
% 0.19/0.38  % (1679)------------------------------
% 0.19/0.39  % (1684)Instruction limit reached!
% 0.19/0.39  % (1684)------------------------------
% 0.19/0.39  % (1684)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.39  % (1684)Termination reason: Unknown
% 0.19/0.39  % (1684)Termination phase: Property scanning
% 0.19/0.39  
% 0.19/0.39  % (1684)Memory used [KB]: 1663
% 0.19/0.39  % (1684)Time elapsed: 0.012 s
% 0.19/0.39  % (1684)Instructions burned: 18 (million)
% 0.19/0.39  % (1684)------------------------------
% 0.19/0.39  % (1684)------------------------------
% 0.19/0.39  % (1683)First to succeed.
% 0.19/0.39  % (1680)Instruction limit reached!
% 0.19/0.39  % (1680)------------------------------
% 0.19/0.39  % (1680)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.39  % (1680)Termination reason: Unknown
% 0.19/0.39  % (1680)Termination phase: Naming
% 0.19/0.39  
% 0.19/0.39  % (1680)Memory used [KB]: 1791
% 0.19/0.39  % (1680)Time elapsed: 0.018 s
% 0.19/0.39  % (1680)Instructions burned: 27 (million)
% 0.19/0.39  % (1680)------------------------------
% 0.19/0.39  % (1680)------------------------------
% 0.19/0.39  % (1687)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)
% 0.19/0.39  % (1686)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)
% 0.19/0.39  % (1688)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)
% 0.19/0.39  % (1683)Refutation found. Thanks to Tanya!
% 0.19/0.39  % SZS status Theorem for theBenchmark
% 0.19/0.39  % SZS output start Proof for theBenchmark
% 0.19/0.39  thf(type_def_5, type, nat: $tType).
% 0.19/0.39  thf(type_def_6, type, extended_enat: $tType).
% 0.19/0.39  thf(type_def_8, type, extended_ereal: $tType).
% 0.19/0.39  thf(type_def_9, type, real: $tType).
% 0.19/0.39  thf(type_def_10, type, num: $tType).
% 0.19/0.39  thf(type_def_11, type, set: ($tType) > $tType).
% 0.19/0.39  thf(type_def_12, type, a: $tType).
% 0.19/0.39  thf(func_def_0, type, extended_ereal: $tType).
% 0.19/0.39  thf(func_def_1, type, extended_enat: $tType).
% 0.19/0.39  thf(func_def_2, type, real: $tType).
% 0.19/0.39  thf(func_def_3, type, set: ($tType) > $tType).
% 0.19/0.39  thf(func_def_4, type, num: $tType).
% 0.19/0.39  thf(func_def_5, type, nat: $tType).
% 0.19/0.39  thf(func_def_6, type, a: $tType).
% 0.19/0.39  thf(func_def_7, type, type: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_8, type, zero: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_9, type, numeral: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_10, type, uminus: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_11, type, ord: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_12, type, ring_char_0: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_13, type, neg_numeral: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_14, type, order: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_15, type, group_add: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_16, type, linorder: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_17, type, preorder: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_18, type, semiring_char_0: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_19, type, linordered_idom: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_20, type, linordered_field: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_21, type, boolean_algebra: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_22, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_23, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_24, type, ordere142940540dd_abs: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_25, type, real_V2090557954_space: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_26, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_27, type, topolo259154727pology: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_28, type, topolo503727757_space: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_29, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 0.19/0.39  thf(func_def_30, type, extended_enat2: nat > extended_enat).
% 0.19/0.39  thf(func_def_31, type, extended_case_enat: !>[X0: $tType]:((nat > X0) > X0 > extended_enat > X0)).
% 0.19/0.39  thf(func_def_32, type, extended_rec_enat: !>[X0: $tType]:((nat > X0) > X0 > extended_enat > X0)).
% 0.19/0.39  thf(func_def_33, type, extend1396239628finity: !>[X0: $tType]:(X0)).
% 0.19/0.39  thf(func_def_34, type, extended_the_enat: extended_enat > nat).
% 0.19/0.39  thf(func_def_35, type, extended_MInfty: extended_ereal).
% 0.19/0.39  thf(func_def_36, type, extended_PInfty: extended_ereal).
% 0.19/0.39  thf(func_def_37, type, extended_ereal2: real > extended_ereal).
% 0.19/0.39  thf(func_def_38, type, extended_size_ereal: extended_ereal > nat).
% 0.19/0.39  thf(func_def_39, type, extend1771934483f_enat: extended_enat > extended_ereal).
% 0.19/0.39  thf(func_def_40, type, extend1716541707_ereal: extended_ereal > real).
% 0.19/0.39  thf(func_def_41, type, abs_abs: !>[X0: $tType]:(X0 > X0)).
% 0.19/0.39  thf(func_def_42, type, uminus_uminus: !>[X0: $tType]:(X0 > X0)).
% 0.19/0.39  thf(func_def_43, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.19/0.39  thf(func_def_44, type, lower_107104146le_lsc: !>[X0: $tType, X1: $tType]:((X0 > X1) > $o)).
% 0.19/0.39  thf(func_def_45, type, lower_582600101lsc_at: !>[X0: $tType, X1: $tType]:(X0 > (X0 > X1) > $o)).
% 0.19/0.39  thf(func_def_46, type, lower_1879122655c_hull: !>[X0: $tType]:((X0 > extended_ereal) > X0 > extended_ereal)).
% 0.19/0.39  thf(func_def_47, type, neg_numeral_dbl: !>[X0: $tType]:(X0 > X0)).
% 0.19/0.39  thf(func_def_48, type, neg_numeral_sub: !>[X0: $tType]:(num > num > X0)).
% 0.19/0.39  thf(func_def_49, type, numeral_numeral: !>[X0: $tType]:(num > X0)).
% 0.19/0.39  thf(func_def_50, type, ord_less_eq: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.19/0.39  thf(func_def_51, type, order_Greatest: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.19/0.39  thf(func_def_52, type, order_antimono: !>[X0: $tType, X1: $tType]:((X0 > X1) > $o)).
% 0.19/0.39  thf(func_def_53, type, order_strict_mono: !>[X0: $tType, X1: $tType]:((X0 > X1) > $o)).
% 0.19/0.39  thf(func_def_54, type, divide_divide: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.19/0.39  thf(func_def_55, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 0.19/0.39  thf(func_def_56, type, f: a > extended_ereal).
% 0.19/0.39  thf(func_def_57, type, g: a > extended_ereal).
% 0.19/0.39  thf(func_def_58, type, x: a).
% 0.19/0.39  thf(func_def_72, type, sK0: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 0.19/0.39  thf(func_def_74, type, ph2: !>[X0: $tType]:(X0)).
% 0.19/0.39  thf(f875,plain,(
% 0.19/0.39    $false),
% 0.19/0.39    inference(subsumption_resolution,[],[f861,f872])).
% 0.19/0.39  thf(f872,plain,(
% 0.19/0.39    ( ! [X0 : a] : (((ord_less_eq @ extended_ereal @ (g @ X0) @ (f @ X0)) = $true)) )),
% 0.19/0.39    inference(cnf_transformation,[],[f365])).
% 0.19/0.39  thf(f365,plain,(
% 0.19/0.39    ! [X0 : a] : ((ord_less_eq @ extended_ereal @ (g @ X0) @ (f @ X0)) = $true)),
% 0.19/0.39    inference(fool_elimination,[],[f364])).
% 0.19/0.39  thf(f364,plain,(
% 0.19/0.39    ! [X0 : a] : (ord_less_eq @ extended_ereal @ (g @ X0) @ (f @ X0))),
% 0.19/0.39    inference(rectify,[],[f1])).
% 0.19/0.39  thf(f1,axiom,(
% 0.19/0.39    ! [X3 : a] : (ord_less_eq @ extended_ereal @ (g @ X3) @ (f @ X3))),
% 0.19/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms)).
% 0.19/0.39  thf(f861,plain,(
% 0.19/0.39    ((ord_less_eq @ extended_ereal @ (g @ x) @ (f @ x)) != $true)),
% 0.19/0.39    inference(cnf_transformation,[],[f846])).
% 0.19/0.39  thf(f846,plain,(
% 0.19/0.39    ((ord_less_eq @ extended_ereal @ (g @ x) @ (f @ x)) != $true)),
% 0.19/0.39    inference(flattening,[],[f505])).
% 0.19/0.39  thf(f505,plain,(
% 0.19/0.39    ~((ord_less_eq @ extended_ereal @ (g @ x) @ (f @ x)) = $true)),
% 0.19/0.39    inference(fool_elimination,[],[f504])).
% 0.19/0.39  thf(f504,plain,(
% 0.19/0.39    ~(ord_less_eq @ extended_ereal @ (g @ x) @ (f @ x))),
% 0.19/0.39    inference(rectify,[],[f326])).
% 0.19/0.39  thf(f326,negated_conjecture,(
% 0.19/0.39    ~(ord_less_eq @ extended_ereal @ (g @ x) @ (f @ x))),
% 0.19/0.39    inference(negated_conjecture,[],[f325])).
% 0.19/0.39  thf(f325,conjecture,(
% 0.19/0.39    (ord_less_eq @ extended_ereal @ (g @ x) @ (f @ x))),
% 0.19/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.19/0.39  % SZS output end Proof for theBenchmark
% 0.19/0.39  % (1683)------------------------------
% 0.19/0.39  % (1683)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.39  % (1683)Termination reason: Refutation
% 0.19/0.39  
% 0.19/0.39  % (1683)Memory used [KB]: 6140
% 0.19/0.39  % (1683)Time elapsed: 0.017 s
% 0.19/0.39  % (1683)Instructions burned: 23 (million)
% 0.19/0.39  % (1683)------------------------------
% 0.19/0.39  % (1683)------------------------------
% 0.19/0.39  % (1677)Success in time 0.038 s
% 0.19/0.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------