TSTP Solution File: ITP001_4 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ITP001_4 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -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 : Tue Aug 22 10:43:01 EDT 2023
% Result : Theorem 5.20s 2.25s
% Output : CNFRefutation 5.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 145
% Syntax : Number of formulae : 148 ( 4 unt; 143 typ; 0 def)
% Number of atoms : 6 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 0 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 9 ( 8 usr)
% Number of type conns : 211 ( 94 >; 117 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 134 ( 134 usr; 41 con; 0-5 aty)
% Number of variables : 1 (; 1 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
%$ p > c_2Ebool_2ECOND_2E3 > tyop_2Emin_2Efun > s > mono_2Ec_2Emin_2E_3D_3D_3E_2E2 > mono_2Ec_2Ebool_2E_5C_2F_2E2 > mono_2Ec_2Ebool_2E_2F_5C_2E2 > mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_20mono_2Etyop_2Emin_2Ebool > mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 > mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool > c_2Emin_2E_3D_3D_3E_2E2 > c_2Emin_2E_3D_2E2 > c_2Ebool_2Eliteral__case_2E2 > c_2Ebool_2E_5C_2F_2E2 > c_2Ebool_2E_2F_5C_2E2 > c_2Ebool_2ETYPE__DEFINITION_2E2 > c_2Ebool_2ERES__SELECT_2E2 > c_2Ebool_2ERES__FORALL_2E2 > c_2Ebool_2ERES__EXISTS__UNIQUE_2E2 > c_2Ebool_2ERES__EXISTS_2E2 > c_2Ebool_2ELET_2E2 > c_2Ebool_2EIN_2E2 > app_2E2 > #nlpp > mono_2Ec_2Ebool_2E_7E_2E1 > mono_2Ec_2Ebool_2EONTO_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind > mono_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind > mono_2Ec_2Ebool_2EBOUNDED_2E1 > j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 > j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 > j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 > j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 > j_mono_2Etyop_2Emin_2Ebool > i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 > i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 > i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 > i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 > i_mono_2Etyop_2Emin_2Ebool > c_2Emin_2E_40_2E1 > c_2Ebool_2E_7E_2E1 > c_2Ebool_2E_3F_2E1 > c_2Ebool_2E_3F_21_2E1 > c_2Ebool_2E_21_2E1 > c_2Ebool_2EONTO_2E1 > c_2Ebool_2EONE__ONE_2E1 > c_2Ebool_2EDATATYPE_2E1 > c_2Ebool_2EBOUNDED_2E1 > tyop_2Emin_2Eind > tyop_2Emin_2Ebool > mono_2Ec_2Emin_2E_3D_3D_3E_2E0 > mono_2Ec_2Ebool_2E_7E_2E0 > mono_2Ec_2Ebool_2E_5C_2F_2E0 > mono_2Ec_2Ebool_2E_2F_5C_2E0 > mono_2Ec_2Ebool_2ET_2E0 > mono_2Ec_2Ebool_2EONTO_2E0_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind > mono_2Ec_2Ebool_2EONE__ONE_2E0_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind > mono_2Ec_2Ebool_2EF_2E0 > mono_2Ec_2Ebool_2EBOUNDED_2E0 > combin_s_2E0 > combin_k_2E0 > combin_i_2E0 > c_2Emin_2E_40_2E0 > c_2Emin_2E_3D_3D_3E_2E0 > c_2Emin_2E_3D_2E0 > c_2Ebool_2Eliteral__case_2E0 > c_2Ebool_2E_7E_2E0 > c_2Ebool_2E_5C_2F_2E0 > c_2Ebool_2E_3F_2E0 > c_2Ebool_2E_3F_21_2E0 > c_2Ebool_2E_2F_5C_2E0 > c_2Ebool_2E_21_2E0 > c_2Ebool_2ET_2E0 > c_2Ebool_2ETYPE__DEFINITION_2E0 > c_2Ebool_2ERES__SELECT_2E0 > c_2Ebool_2ERES__FORALL_2E0 > c_2Ebool_2ERES__EXISTS__UNIQUE_2E0 > c_2Ebool_2ERES__EXISTS_2E0 > c_2Ebool_2EONTO_2E0 > c_2Ebool_2EONE__ONE_2E0 > c_2Ebool_2ELET_2E0 > c_2Ebool_2EIN_2E0 > c_2Ebool_2EF_2E0 > c_2Ebool_2EDATATYPE_2E0 > c_2Ebool_2ECOND_2E0 > c_2Ebool_2EBOUNDED_2E0 > #skF_25 > #skF_29 > #skF_23 > #skF_24 > #skF_14 > #skF_7 > #skF_49 > #skF_1 > #skF_30 > #skF_19 > #skF_39 > #skF_22 > #skF_35 > #skF_47 > #skF_20 > #skF_34 > #skF_36 > #skF_50 > #skF_2 > #skF_37 > #skF_18 > #skF_51 > #skF_8 > #skF_32 > #skF_13 > #skF_27 > #skF_48 > #skF_4 > #skF_9 > #skF_16 > #skF_10 > #skF_46 > #skF_44 > #skF_6 > #skF_17 > #skF_5 > #skF_43 > #skF_38 > #skF_15 > #skF_42 > #skF_26 > #skF_40 > #skF_45 > #skF_11 > #skF_33 > #skF_31 > #skF_41 > #skF_12 > #skF_28 > #skF_3 > #skF_21
%Foreground sorts:
tff(d,type,
d: $tType ).
tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: $tType ).
tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: $tType ).
tff(u,type,
u: $tType ).
tff(mono_2Etyop_2Emin_2Ebool,type,
mono_2Etyop_2Emin_2Ebool: $tType ).
tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29: $tType ).
tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29: $tType ).
tff(du,type,
du: $tType ).
%Background operators:
%Foreground operators:
tff('#skF_25',type,
'#skF_25': ( d * d * u ) > u ).
tff(mono_2Ec_2Ebool_2EF_2E0,type,
mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(c_2Ebool_2E_2F_5C_2E2,type,
c_2Ebool_2E_2F_5C_2E2: ( du * du ) > u ).
tff('#skF_29',type,
'#skF_29': ( d * d * u * u ) > u ).
tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 > u ).
tff('#skF_23',type,
'#skF_23': ( d * d * u ) > u ).
tff(c_2Ebool_2E_3F_21_2E0,type,
c_2Ebool_2E_3F_21_2E0: u ).
tff('#skF_24',type,
'#skF_24': ( d * d * u ) > u ).
tff('#skF_14',type,
'#skF_14': ( d * u ) > u ).
tff('#skF_7',type,
'#skF_7': mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 ).
tff(c_2Ebool_2Eliteral__case_2E0,type,
c_2Ebool_2Eliteral__case_2E0: u ).
tff(mono_2Ec_2Ebool_2E_7E_2E0,type,
mono_2Ec_2Ebool_2E_7E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(combin_i_2E0,type,
combin_i_2E0: u ).
tff(c_2Emin_2E_3D_2E0,type,
c_2Emin_2E_3D_2E0: u ).
tff(c_2Ebool_2E_7E_2E0,type,
c_2Ebool_2E_7E_2E0: u ).
tff('#skF_49',type,
'#skF_49': ( d * u ) > u ).
tff('#skF_1',type,
'#skF_1': ( d * d * u * u ) > u ).
tff('#skF_30',type,
'#skF_30': ( d * d * u * u ) > u ).
tff('#skF_19',type,
'#skF_19': ( d * u ) > mono_2Etyop_2Emin_2Ebool ).
tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff('#skF_39',type,
'#skF_39': ( d * u * u * u ) > u ).
tff(mono_2Ec_2Ebool_2EBOUNDED_2E1,type,
mono_2Ec_2Ebool_2EBOUNDED_2E1: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).
tff('#skF_22',type,
'#skF_22': ( d * u ) > u ).
tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 ).
tff(c_2Ebool_2EONE__ONE_2E0,type,
c_2Ebool_2EONE__ONE_2E0: u ).
tff(c_2Ebool_2EONTO_2E0,type,
c_2Ebool_2EONTO_2E0: u ).
tff('#skF_35',type,
'#skF_35': ( d * u * u * u ) > u ).
tff('#skF_47',type,
'#skF_47': ( d * u ) > u ).
tff(mono_2Ec_2Ebool_2E_7E_2E1,type,
mono_2Ec_2Ebool_2E_7E_2E1: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).
tff('#skF_20',type,
'#skF_20': ( d * u ) > u ).
tff('#skF_34',type,
'#skF_34': ( d * u * u ) > u ).
tff(c_2Ebool_2ELET_2E0,type,
c_2Ebool_2ELET_2E0: u ).
tff(mono_2Ec_2Ebool_2E_2F_5C_2E0,type,
mono_2Ec_2Ebool_2E_2F_5C_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff('#skF_36',type,
'#skF_36': ( d * u * u * u ) > u ).
tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(tyop_2Emin_2Ebool,type,
tyop_2Emin_2Ebool: d ).
tff(c_2Ebool_2EONE__ONE_2E1,type,
c_2Ebool_2EONE__ONE_2E1: du > u ).
tff('#skF_50',type,
'#skF_50': ( d * u ) > u ).
tff(c_2Ebool_2EONTO_2E1,type,
c_2Ebool_2EONTO_2E1: du > u ).
tff('#skF_2',type,
'#skF_2': ( d * u ) > u ).
tff(c_2Emin_2E_3D_2E2,type,
c_2Emin_2E_3D_2E2: ( du * du ) > u ).
tff('#skF_37',type,
'#skF_37': ( d * u * u * u ) > u ).
tff('#skF_18',type,
'#skF_18': ( d * u ) > u ).
tff(mono_2Ec_2Ebool_2E_5C_2F_2E2,type,
mono_2Ec_2Ebool_2E_5C_2F_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff('#skF_51',type,
'#skF_51': ( d * u ) > u ).
tff(c_2Emin_2E_3D_3D_3E_2E0,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
tff('#skF_8',type,
'#skF_8': mono_2Etyop_2Emin_2Ebool ).
tff(c_2Ebool_2EBOUNDED_2E1,type,
c_2Ebool_2EBOUNDED_2E1: du > u ).
tff(mono_2Ec_2Ebool_2EONTO_2E0_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind,type,
mono_2Ec_2Ebool_2EONTO_2E0_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 ).
tff('#skF_32',type,
'#skF_32': ( u * d * d * u * u ) > u ).
tff(c_2Ebool_2ECOND_2E0,type,
c_2Ebool_2ECOND_2E0: u ).
tff('#skF_13',type,
'#skF_13': ( d * u ) > u ).
tff(combin_s_2E0,type,
combin_s_2E0: u ).
tff('#skF_27',type,
'#skF_27': ( d * d * u * u ) > u ).
tff(mono_2Ec_2Ebool_2E_2F_5C_2E2,type,
mono_2Ec_2Ebool_2E_2F_5C_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff('#skF_48',type,
'#skF_48': ( d * u ) > u ).
tff(c_2Ebool_2EF_2E0,type,
c_2Ebool_2EF_2E0: u ).
tff('#skF_4',type,
'#skF_4': ( d * d * u * u ) > u ).
tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 > u ).
tff(j_mono_2Etyop_2Emin_2Ebool,type,
j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).
tff(combin_k_2E0,type,
combin_k_2E0: u ).
tff('#skF_9',type,
'#skF_9': ( d * u ) > u ).
tff(mono_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind,type,
mono_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 > mono_2Etyop_2Emin_2Ebool ).
tff(c_2Ebool_2ECOND_2E3,type,
c_2Ebool_2ECOND_2E3: ( du * du * du ) > u ).
tff('#skF_16',type,
'#skF_16': ( d * u ) > u ).
tff(c_2Ebool_2ERES__EXISTS__UNIQUE_2E2,type,
c_2Ebool_2ERES__EXISTS__UNIQUE_2E2: ( du * du ) > u ).
tff(mono_2Ec_2Ebool_2ET_2E0,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 ) > mono_2Etyop_2Emin_2Ebool ).
tff('#skF_10',type,
'#skF_10': ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(c_2Ebool_2ERES__FORALL_2E0,type,
c_2Ebool_2ERES__FORALL_2E0: u ).
tff('#skF_46',type,
'#skF_46': ( d * u ) > u ).
tff(c_2Ebool_2ERES__EXISTS_2E2,type,
c_2Ebool_2ERES__EXISTS_2E2: ( du * du ) > u ).
tff(mono_2Ec_2Ebool_2EONE__ONE_2E0_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind,type,
mono_2Ec_2Ebool_2EONE__ONE_2E0_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 ).
tff(app_2E2,type,
app_2E2: ( du * du ) > u ).
tff('#skF_44',type,
'#skF_44': ( d * u * u * u ) > u ).
tff('#skF_6',type,
'#skF_6': ( d * u ) > u ).
tff(c_2Ebool_2E_3F_21_2E1,type,
c_2Ebool_2E_3F_21_2E1: du > u ).
tff(c_2Ebool_2EIN_2E2,type,
c_2Ebool_2EIN_2E2: ( du * du ) > u ).
tff(c_2Ebool_2ERES__SELECT_2E0,type,
c_2Ebool_2ERES__SELECT_2E0: u ).
tff(c_2Ebool_2ELET_2E2,type,
c_2Ebool_2ELET_2E2: ( du * du ) > u ).
tff(mono_2Ec_2Ebool_2EBOUNDED_2E0,type,
mono_2Ec_2Ebool_2EBOUNDED_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(s,type,
s: ( d * u ) > du ).
tff('#skF_17',type,
'#skF_17': ( d * u ) > u ).
tff(mono_2Ec_2Emin_2E_3D_3D_3E_2E2,type,
mono_2Ec_2Emin_2E_3D_3D_3E_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff('#skF_5',type,
'#skF_5': ( d * u ) > u ).
tff(c_2Ebool_2EBOUNDED_2E0,type,
c_2Ebool_2EBOUNDED_2E0: u ).
tff(tyop_2Emin_2Eind,type,
tyop_2Emin_2Eind: d ).
tff(c_2Ebool_2E_7E_2E1,type,
c_2Ebool_2E_7E_2E1: du > u ).
tff(c_2Ebool_2EDATATYPE_2E1,type,
c_2Ebool_2EDATATYPE_2E1: du > u ).
tff(c_2Ebool_2ERES__EXISTS_2E0,type,
c_2Ebool_2ERES__EXISTS_2E0: u ).
tff(c_2Ebool_2ETYPE__DEFINITION_2E0,type,
c_2Ebool_2ETYPE__DEFINITION_2E0: u ).
tff(c_2Ebool_2E_2F_5C_2E0,type,
c_2Ebool_2E_2F_5C_2E0: u ).
tff(c_2Ebool_2ERES__FORALL_2E2,type,
c_2Ebool_2ERES__FORALL_2E2: ( du * du ) > u ).
tff('#skF_43',type,
'#skF_43': ( d * u * u * u ) > u ).
tff(mono_2Ec_2Ebool_2EONTO_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind,type,
mono_2Ec_2Ebool_2EONTO_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 > mono_2Etyop_2Emin_2Ebool ).
tff(c_2Emin_2E_40_2E1,type,
c_2Emin_2E_40_2E1: du > u ).
tff(c_2Ebool_2ERES__EXISTS__UNIQUE_2E0,type,
c_2Ebool_2ERES__EXISTS__UNIQUE_2E0: u ).
tff('#skF_38',type,
'#skF_38': ( d * u * u * u ) > u ).
tff('#skF_15',type,
'#skF_15': ( d * u ) > mono_2Etyop_2Emin_2Ebool ).
tff(mono_2Ec_2Emin_2E_3D_3D_3E_2E0,type,
mono_2Ec_2Emin_2E_3D_3D_3E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(c_2Ebool_2ET_2E0,type,
c_2Ebool_2ET_2E0: u ).
tff(i_mono_2Etyop_2Emin_2Ebool,type,
i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).
tff(tyop_2Emin_2Efun,type,
tyop_2Emin_2Efun: ( d * d ) > d ).
tff(c_2Ebool_2EIN_2E0,type,
c_2Ebool_2EIN_2E0: u ).
tff('#skF_42',type,
'#skF_42': ( d * u * u * u ) > u ).
tff('#skF_26',type,
'#skF_26': ( d * d * u * u ) > u ).
tff('#skF_40',type,
'#skF_40': ( d * u * u * u ) > u ).
tff('#skF_45',type,
'#skF_45': ( d * u * u * u ) > u ).
tff(c_2Ebool_2ETYPE__DEFINITION_2E2,type,
c_2Ebool_2ETYPE__DEFINITION_2E2: ( du * du ) > u ).
tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(c_2Ebool_2EDATATYPE_2E0,type,
c_2Ebool_2EDATATYPE_2E0: u ).
tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 ).
tff(c_2Ebool_2Eliteral__case_2E2,type,
c_2Ebool_2Eliteral__case_2E2: ( du * du ) > u ).
tff(c_2Emin_2E_40_2E0,type,
c_2Emin_2E_40_2E0: u ).
tff('#skF_11',type,
'#skF_11': ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff('#skF_33',type,
'#skF_33': ( d * u * u ) > u ).
tff(c_2Ebool_2E_5C_2F_2E0,type,
c_2Ebool_2E_5C_2F_2E0: u ).
tff(p,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff('#skF_31',type,
'#skF_31': ( d * d * u * u ) > u ).
tff(c_2Ebool_2E_21_2E0,type,
c_2Ebool_2E_21_2E0: u ).
tff('#skF_41',type,
'#skF_41': ( d * u * u * u ) > u ).
tff(c_2Emin_2E_3D_3D_3E_2E2,type,
c_2Emin_2E_3D_3D_3E_2E2: ( du * du ) > u ).
tff(c_2Ebool_2E_21_2E1,type,
c_2Ebool_2E_21_2E1: du > u ).
tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 > u ).
tff('#skF_12',type,
'#skF_12': mono_2Etyop_2Emin_2Ebool ).
tff(c_2Ebool_2E_3F_2E1,type,
c_2Ebool_2E_3F_2E1: du > u ).
tff(mono_2Ec_2Ebool_2E_5C_2F_2E0,type,
mono_2Ec_2Ebool_2E_5C_2F_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(c_2Ebool_2E_5C_2F_2E2,type,
c_2Ebool_2E_5C_2F_2E2: ( du * du ) > u ).
tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 > u ).
tff('#skF_28',type,
'#skF_28': ( d * d * u * u ) > u ).
tff('#skF_3',type,
'#skF_3': ( d * u ) > u ).
tff(c_2Ebool_2E_3F_2E0,type,
c_2Ebool_2E_3F_2E0: u ).
tff('#skF_21',type,
'#skF_21': ( d * u ) > u ).
tff(c_2Ebool_2ERES__SELECT_2E2,type,
c_2Ebool_2ERES__SELECT_2E2: ( du * du ) > u ).
tff(f_499,negated_conjecture,
~ p(mono_2Ec_2Ebool_2ET_2E0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
tff(f_344,axiom,
( p(mono_2Ec_2Ebool_2ET_2E0)
<=> ! [V0x_2E0: mono_2Etyop_2Emin_2Ebool] : ( V0x_2E0 = V0x_2E0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ET__DEF) ).
tff(c_480,plain,
~ p(mono_2Ec_2Ebool_2ET_2E0),
inference(cnfTransformation,[status(thm)],[f_499]) ).
tff(c_269,plain,
p(mono_2Ec_2Ebool_2ET_2E0),
inference(cnfTransformation,[status(thm)],[f_344]) ).
tff(c_489,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_480,c_269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ITP001_4 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 18:56:33 EDT 2023
% 0.13/0.35 % CPUTime :
% 5.20/2.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.20/2.25
% 5.20/2.25 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.20/2.28
% 5.20/2.28 Inference rules
% 5.20/2.28 ----------------------
% 5.20/2.28 #Ref : 0
% 5.20/2.28 #Sup : 0
% 5.20/2.28 #Fact : 0
% 5.20/2.28 #Define : 0
% 5.20/2.28 #Split : 0
% 5.20/2.28 #Chain : 0
% 5.20/2.28 #Close : 0
% 5.20/2.28
% 5.20/2.28 Ordering : KBO
% 5.20/2.28
% 5.20/2.28 Simplification rules
% 5.20/2.28 ----------------------
% 5.20/2.28 #Subsume : 215
% 5.20/2.28 #Demod : 9
% 5.20/2.28 #Tautology : 23
% 5.20/2.28 #SimpNegUnit : 1
% 5.20/2.28 #BackRed : 0
% 5.20/2.28
% 5.20/2.28 #Partial instantiations: 0
% 5.20/2.28 #Strategies tried : 1
% 5.20/2.28
% 5.20/2.28 Timing (in seconds)
% 5.20/2.28 ----------------------
% 5.20/2.28 Preprocessing : 1.04
% 5.20/2.28 Parsing : 0.36
% 5.20/2.28 CNF conversion : 0.08
% 5.20/2.28 Main loop : 0.21
% 5.20/2.28 Inferencing : 0.00
% 5.20/2.28 Reduction : 0.11
% 5.20/2.28 Demodulation : 0.09
% 5.20/2.28 BG Simplification : 0.08
% 5.20/2.28 Subsumption : 0.07
% 5.20/2.29 Abstraction : 0.03
% 5.20/2.29 MUC search : 0.00
% 5.20/2.29 Cooper : 0.00
% 5.20/2.29 Total : 1.30
% 5.20/2.29 Index Insertion : 0.00
% 5.20/2.29 Index Deletion : 0.00
% 5.20/2.29 Index Matching : 0.00
% 5.20/2.29 BG Taut test : 0.00
%------------------------------------------------------------------------------