TSTP Solution File: ITP001^4 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP001^4 : TPTP v8.2.0. Bugfixed 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 : 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 22:29:40 EDT 2024
% Result : Theorem 0.12s 0.37s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 89
% Syntax : Number of formulae : 102 ( 8 unt; 86 typ; 0 def)
% Number of atoms : 60 ( 24 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 28 ( 14 ~; 7 |; 3 &; 0 @)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 95 ( 95 >; 0 *; 0 +; 0 <<)
% Number of symbols : 83 ( 80 usr; 33 con; 0-3 aty)
% Number of variables : 10 ( 0 ^ 6 !; 3 ?; 10 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
d: $tType ).
thf(type_def_7,type,
u: $tType ).
thf(type_def_8,type,
du: $tType ).
thf(type_def_9,type,
mono_2Etyop_2Emin_2Eind: $tType ).
thf(func_def_0,type,
u: $tType ).
thf(func_def_1,type,
d: $tType ).
thf(func_def_2,type,
du: $tType ).
thf(func_def_3,type,
tyop_2Emin_2Ebool: d ).
thf(func_def_4,type,
tyop_2Emin_2Efun: d > d > d ).
thf(func_def_5,type,
s: d > u > du ).
thf(func_def_6,type,
app_2E2: du > du > u ).
thf(func_def_7,type,
combin_i_2E0: u ).
thf(func_def_8,type,
combin_k_2E0: u ).
thf(func_def_9,type,
combin_s_2E0: u ).
thf(func_def_10,type,
c_2Ebool_2E_21_2E0: u ).
thf(func_def_11,type,
c_2Ebool_2E_21_2E1: du > u ).
thf(func_def_12,type,
c_2Ebool_2E_2F_5C_2E0: u ).
thf(func_def_13,type,
c_2Ebool_2E_2F_5C_2E2: du > du > u ).
thf(func_def_14,type,
c_2Emin_2E_3D_2E0: u ).
thf(func_def_15,type,
c_2Emin_2E_3D_2E2: du > du > u ).
thf(func_def_16,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
thf(func_def_17,type,
c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
thf(func_def_18,type,
c_2Ebool_2E_3F_2E0: u ).
thf(func_def_19,type,
c_2Ebool_2E_3F_2E1: du > u ).
thf(func_def_20,type,
c_2Ebool_2EF_2E0: u ).
thf(func_def_21,type,
c_2Ebool_2ET_2E0: u ).
thf(func_def_22,type,
c_2Ebool_2E_5C_2F_2E0: u ).
thf(func_def_23,type,
c_2Ebool_2E_5C_2F_2E2: du > du > u ).
thf(func_def_24,type,
c_2Ebool_2E_7E_2E0: u ).
thf(func_def_25,type,
c_2Ebool_2E_7E_2E1: du > u ).
thf(func_def_26,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
thf(func_def_27,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
thf(func_def_28,type,
mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(func_def_29,type,
mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(func_def_32,type,
mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(func_def_33,type,
mono_2Ec_2Ebool_2E_7E: $o > $o ).
thf(func_def_34,type,
i_mono_2Etyop_2Emin_2Ebool: $o > u ).
thf(func_def_35,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
thf(func_def_36,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
thf(func_def_37,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(func_def_38,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
thf(func_def_39,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
thf(func_def_42,type,
mono_2Etyop_2Emin_2Eind: $tType ).
thf(func_def_43,type,
tyop_2Emin_2Eind: d ).
thf(func_def_44,type,
c_2Ebool_2E_3F_21_2E0: u ).
thf(func_def_45,type,
c_2Ebool_2E_3F_21_2E1: du > u ).
thf(func_def_46,type,
c_2Emin_2E_40_2E0: u ).
thf(func_def_47,type,
c_2Emin_2E_40_2E1: du > u ).
thf(func_def_48,type,
c_2Ebool_2EBOUNDED_2E0: u ).
thf(func_def_49,type,
c_2Ebool_2EBOUNDED_2E1: du > u ).
thf(func_def_50,type,
c_2Ebool_2ECOND_2E0: u ).
thf(func_def_51,type,
c_2Ebool_2ECOND_2E3: du > du > du > u ).
thf(func_def_52,type,
c_2Ebool_2EDATATYPE_2E0: u ).
thf(func_def_53,type,
c_2Ebool_2EDATATYPE_2E1: du > u ).
thf(func_def_54,type,
c_2Ebool_2EIN_2E0: u ).
thf(func_def_55,type,
c_2Ebool_2EIN_2E2: du > du > u ).
thf(func_def_56,type,
c_2Ebool_2ELET_2E0: u ).
thf(func_def_57,type,
c_2Ebool_2ELET_2E2: du > du > u ).
thf(func_def_58,type,
c_2Ebool_2EONE__ONE_2E0: u ).
thf(func_def_59,type,
c_2Ebool_2EONE__ONE_2E1: du > u ).
thf(func_def_60,type,
c_2Ebool_2EONTO_2E0: u ).
thf(func_def_61,type,
c_2Ebool_2EONTO_2E1: du > u ).
thf(func_def_62,type,
c_2Ebool_2ERES__EXISTS_2E0: u ).
thf(func_def_63,type,
c_2Ebool_2ERES__EXISTS_2E2: du > du > u ).
thf(func_def_64,type,
c_2Ebool_2ERES__EXISTS__UNIQUE_2E0: u ).
thf(func_def_65,type,
c_2Ebool_2ERES__EXISTS__UNIQUE_2E2: du > du > u ).
thf(func_def_66,type,
c_2Ebool_2ERES__FORALL_2E0: u ).
thf(func_def_67,type,
c_2Ebool_2ERES__FORALL_2E2: du > du > u ).
thf(func_def_68,type,
c_2Ebool_2ERES__SELECT_2E0: u ).
thf(func_def_69,type,
c_2Ebool_2ERES__SELECT_2E2: du > du > u ).
thf(func_def_70,type,
c_2Ebool_2ETYPE__DEFINITION_2E0: u ).
thf(func_def_71,type,
c_2Ebool_2ETYPE__DEFINITION_2E2: du > du > u ).
thf(func_def_72,type,
c_2Ebool_2Eliteral__case_2E0: u ).
thf(func_def_73,type,
c_2Ebool_2Eliteral__case_2E2: du > du > u ).
thf(func_def_74,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Emin_2Eind > mono_2Etyop_2Emin_2Eind ) > $o ) > ( mono_2Etyop_2Emin_2Eind > mono_2Etyop_2Emin_2Eind ) > $o ).
thf(func_def_75,type,
mono_2Ec_2Ebool_2EBOUNDED: $o > $o ).
thf(func_def_76,type,
mono_2Ec_2Ebool_2EONE__ONE_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind: ( mono_2Etyop_2Emin_2Eind > mono_2Etyop_2Emin_2Eind ) > $o ).
thf(func_def_77,type,
mono_2Ec_2Ebool_2EONTO_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind: ( mono_2Etyop_2Emin_2Eind > mono_2Etyop_2Emin_2Eind ) > $o ).
thf(func_def_78,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Emin_2Eind > mono_2Etyop_2Emin_2Eind ) > $o ) > u ).
thf(func_def_79,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29: ( mono_2Etyop_2Emin_2Eind > mono_2Etyop_2Emin_2Eind ) > u ).
thf(func_def_80,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Emin_2Eind > mono_2Etyop_2Emin_2Eind ) > $o ).
thf(func_def_81,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29: du > mono_2Etyop_2Emin_2Eind > mono_2Etyop_2Emin_2Eind ).
thf(func_def_84,type,
sP0: $o > $o > $o ).
thf(func_def_85,type,
sK1: $o > $o > $o ).
thf(func_def_86,type,
sK2: $o > $o > $o ).
thf(func_def_89,type,
ph5:
!>[X0: $tType] : X0 ).
thf(f231,plain,
$false,
inference(subsumption_resolution,[],[f211,f230]) ).
thf(f230,plain,
mono_2Ec_2Ebool_2ET = $true,
inference(trivial_inequality_removal,[],[f210]) ).
thf(f210,plain,
( ( mono_2Ec_2Ebool_2ET = $true )
| ( sK3 != sK3 ) ),
inference(cnf_transformation,[],[f191]) ).
thf(f191,plain,
( ( ( mono_2Ec_2Ebool_2ET = $true )
| ( sK3 != sK3 ) )
& ( ! [X1: $o] : ( X1 = X1 )
| ( mono_2Ec_2Ebool_2ET != $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f189,f190]) ).
thf(f190,plain,
( ? [X0: $o] : ( X0 != X0 )
=> ( sK3 != sK3 ) ),
introduced(choice_axiom,[]) ).
thf(f189,plain,
( ( ( mono_2Ec_2Ebool_2ET = $true )
| ? [X0: $o] : ( X0 != X0 ) )
& ( ! [X1: $o] : ( X1 = X1 )
| ( mono_2Ec_2Ebool_2ET != $true ) ) ),
inference(rectify,[],[f188]) ).
thf(f188,plain,
( ( ( mono_2Ec_2Ebool_2ET = $true )
| ? [X0: $o] : ( X0 != X0 ) )
& ( ! [X0: $o] : ( X0 = X0 )
| ( mono_2Ec_2Ebool_2ET != $true ) ) ),
inference(nnf_transformation,[],[f128]) ).
thf(f128,plain,
( ( mono_2Ec_2Ebool_2ET = $true )
<=> ! [X0: $o] : ( X0 = X0 ) ),
inference(fool_elimination,[],[f127]) ).
thf(f127,plain,
( ! [X0: $o] : ( X0 = X0 )
<=> mono_2Ec_2Ebool_2ET ),
inference(rectify,[],[f77]) ).
thf(f77,axiom,
( ! [X21: $o] : ( X21 = X21 )
<=> mono_2Ec_2Ebool_2ET ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ET__DEF) ).
thf(f211,plain,
mono_2Ec_2Ebool_2ET != $true,
inference(cnf_transformation,[],[f169]) ).
thf(f169,plain,
mono_2Ec_2Ebool_2ET != $true,
inference(flattening,[],[f126]) ).
thf(f126,plain,
mono_2Ec_2Ebool_2ET != $true,
inference(fool_elimination,[],[f125]) ).
thf(f125,plain,
~ mono_2Ec_2Ebool_2ET,
inference(rectify,[],[f99]) ).
thf(f99,negated_conjecture,
~ mono_2Ec_2Ebool_2ET,
inference(negated_conjecture,[],[f98]) ).
thf(f98,conjecture,
mono_2Ec_2Ebool_2ET,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ITP001^4 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.06/0.13 % 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
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat May 18 17:26:53 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a TH0_THM_EQU_NAR problem
% 0.12/0.33 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
% 0.12/0.35 % (17201)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.36 % (17202)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)
% 0.12/0.36 % (17204)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.36 % (17207)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.36 % (17208)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)
% 0.12/0.36 % (17203)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)
% 0.12/0.36 % (17204)Instruction limit reached!
% 0.12/0.36 % (17204)------------------------------
% 0.12/0.36 % (17204)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (17204)Termination reason: Unknown
% 0.12/0.36 % (17204)Termination phase: shuffling
% 0.12/0.36
% 0.12/0.36 % (17204)Memory used [KB]: 1151
% 0.12/0.36 % (17204)Time elapsed: 0.002 s
% 0.12/0.36 % (17204)Instructions burned: 2 (million)
% 0.12/0.36 % (17204)------------------------------
% 0.12/0.36 % (17204)------------------------------
% 0.12/0.36 % (17206)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)
% 0.12/0.36 % (17205)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)
% 0.12/0.36 % (17202)Instruction limit reached!
% 0.12/0.36 % (17202)------------------------------
% 0.12/0.36 % (17202)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (17202)Termination reason: Unknown
% 0.12/0.36 % (17202)Termination phase: shuffling
% 0.12/0.36
% 0.12/0.36 % (17202)Memory used [KB]: 1151
% 0.12/0.36 % (17202)Time elapsed: 0.003 s
% 0.12/0.36 % (17202)Instructions burned: 4 (million)
% 0.12/0.36 % (17202)------------------------------
% 0.12/0.36 % (17202)------------------------------
% 0.12/0.36 % (17205)Instruction limit reached!
% 0.12/0.36 % (17205)------------------------------
% 0.12/0.36 % (17205)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (17205)Termination reason: Unknown
% 0.12/0.36 % (17205)Termination phase: shuffling
% 0.12/0.36
% 0.12/0.36 % (17205)Memory used [KB]: 1151
% 0.12/0.36 % (17205)Time elapsed: 0.002 s
% 0.12/0.36 % (17205)Instructions burned: 2 (million)
% 0.12/0.36 % (17205)------------------------------
% 0.12/0.36 % (17205)------------------------------
% 0.12/0.36 % (17208)Instruction limit reached!
% 0.12/0.36 % (17208)------------------------------
% 0.12/0.36 % (17208)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (17208)Termination reason: Unknown
% 0.12/0.36 % (17208)Termination phase: shuffling
% 0.12/0.36
% 0.12/0.36 % (17208)Memory used [KB]: 1151
% 0.12/0.36 % (17208)Time elapsed: 0.003 s
% 0.12/0.36 % (17208)Instructions burned: 4 (million)
% 0.12/0.36 % (17208)------------------------------
% 0.12/0.36 % (17208)------------------------------
% 0.12/0.37 % (17207)Instruction limit reached!
% 0.12/0.37 % (17207)------------------------------
% 0.12/0.37 % (17207)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (17207)Termination reason: Unknown
% 0.12/0.37 % (17207)Termination phase: Property scanning
% 0.12/0.37
% 0.12/0.37 % (17207)Memory used [KB]: 1279
% 0.12/0.37 % (17207)Time elapsed: 0.009 s
% 0.12/0.37 % (17207)Instructions burned: 18 (million)
% 0.12/0.37 % (17207)------------------------------
% 0.12/0.37 % (17207)------------------------------
% 0.12/0.37 % (17203)Instruction limit reached!
% 0.12/0.37 % (17203)------------------------------
% 0.12/0.37 % (17203)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (17203)Termination reason: Unknown
% 0.12/0.37 % (17203)Termination phase: Preprocessing 3
% 0.12/0.37
% 0.12/0.37 % (17203)Memory used [KB]: 1407
% 0.12/0.37 % (17203)Time elapsed: 0.014 s
% 0.12/0.37 % (17203)Instructions burned: 29 (million)
% 0.12/0.37 % (17203)------------------------------
% 0.12/0.37 % (17203)------------------------------
% 0.12/0.37 % (17206)First to succeed.
% 0.12/0.37 % (17209)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)
% 0.12/0.37 % (17206)Refutation found. Thanks to Tanya!
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.37 % (17206)------------------------------
% 0.12/0.37 % (17206)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (17206)Termination reason: Refutation
% 0.12/0.37
% 0.12/0.37 % (17206)Memory used [KB]: 5756
% 0.12/0.37 % (17206)Time elapsed: 0.014 s
% 0.12/0.37 % (17206)Instructions burned: 25 (million)
% 0.12/0.37 % (17206)------------------------------
% 0.12/0.37 % (17206)------------------------------
% 0.12/0.37 % (17200)Success in time 0.032 s
% 0.12/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------