TSTP Solution File: ITP012^1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : ITP012^1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n021.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 : 600s
% DateTime : Sat Jul 16 23:43:12 EDT 2022
% Result : Theorem 230.53s 230.89s
% Output : CNFRefutation 230.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 75
% Syntax : Number of formulae : 171 ( 46 unt; 71 typ; 0 def)
% Number of atoms : 629 ( 208 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 932 ( 102 ~; 111 |; 4 &; 707 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 96 ( 96 >; 0 *; 0 +; 0 <<)
% Number of symbols : 70 ( 67 usr; 25 con; 0-3 aty)
% Number of variables : 197 ( 0 ^ 197 !; 0 ?; 197 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_d,type,
d: $tType ).
thf(tp_du,type,
du: $tType ).
thf(tp_mono_2Etyop_2Einteger_2Eint,type,
mono_2Etyop_2Einteger_2Eint: $tType ).
thf(tp_u,type,
u: $tType ).
thf(tp_app_2E2,type,
app_2E2: du > du > u ).
thf(tp_c_2Ebool_2EF_2E0,type,
c_2Ebool_2EF_2E0: u ).
thf(tp_c_2Ebool_2ET_2E0,type,
c_2Ebool_2ET_2E0: u ).
thf(tp_c_2Ebool_2E_21_2E0,type,
c_2Ebool_2E_21_2E0: u ).
thf(tp_c_2Ebool_2E_21_2E1,type,
c_2Ebool_2E_21_2E1: du > u ).
thf(tp_c_2Ebool_2E_2F_5C_2E0,type,
c_2Ebool_2E_2F_5C_2E0: u ).
thf(tp_c_2Ebool_2E_2F_5C_2E2,type,
c_2Ebool_2E_2F_5C_2E2: du > du > u ).
thf(tp_c_2Ebool_2E_3F_2E0,type,
c_2Ebool_2E_3F_2E0: u ).
thf(tp_c_2Ebool_2E_3F_2E1,type,
c_2Ebool_2E_3F_2E1: du > u ).
thf(tp_c_2Ebool_2E_5C_2F_2E0,type,
c_2Ebool_2E_5C_2F_2E0: u ).
thf(tp_c_2Ebool_2E_5C_2F_2E2,type,
c_2Ebool_2E_5C_2F_2E2: du > du > u ).
thf(tp_c_2Ebool_2E_7E_2E0,type,
c_2Ebool_2E_7E_2E0: u ).
thf(tp_c_2Ebool_2E_7E_2E1,type,
c_2Ebool_2E_7E_2E1: du > u ).
thf(tp_c_2Einteger_2Eint__add_2E0,type,
c_2Einteger_2Eint__add_2E0: u ).
thf(tp_c_2Einteger_2Eint__add_2E2,type,
c_2Einteger_2Eint__add_2E2: du > du > u ).
thf(tp_c_2Einteger_2Eint__divides_2E0,type,
c_2Einteger_2Eint__divides_2E0: u ).
thf(tp_c_2Einteger_2Eint__divides_2E2,type,
c_2Einteger_2Eint__divides_2E2: du > du > u ).
thf(tp_c_2Einteger_2Eint__neg_2E0,type,
c_2Einteger_2Eint__neg_2E0: u ).
thf(tp_c_2Einteger_2Eint__neg_2E1,type,
c_2Einteger_2Eint__neg_2E1: du > u ).
thf(tp_c_2Einteger_2Eint__sub_2E0,type,
c_2Einteger_2Eint__sub_2E0: u ).
thf(tp_c_2Einteger_2Eint__sub_2E2,type,
c_2Einteger_2Eint__sub_2E2: du > du > u ).
thf(tp_c_2Emin_2E_3D_2E0,type,
c_2Emin_2E_3D_2E0: u ).
thf(tp_c_2Emin_2E_3D_2E2,type,
c_2Emin_2E_3D_2E2: du > du > u ).
thf(tp_c_2Emin_2E_3D_3D_3E_2E0,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
thf(tp_c_2Emin_2E_3D_3D_3E_2E2,type,
c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
thf(tp_combin_i_2E0,type,
combin_i_2E0: u ).
thf(tp_combin_k_2E0,type,
combin_k_2E0: u ).
thf(tp_combin_s_2E0,type,
combin_s_2E0: u ).
thf(tp_i_mono_2Etyop_2Einteger_2Eint,type,
i_mono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Einteger_2Eint > u ).
thf(tp_i_mono_2Etyop_2Emin_2Ebool,type,
i_mono_2Etyop_2Emin_2Ebool: $o > u ).
thf(tp_i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(tp_i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Einteger_2Eint > $o ) > u ).
thf(tp_i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(tp_i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ) > u ).
thf(tp_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: ( $o > $o ) > u ).
thf(tp_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: ( $o > $o > $o ) > u ).
thf(tp_j_mono_2Etyop_2Einteger_2Eint,type,
j_mono_2Etyop_2Einteger_2Eint: du > mono_2Etyop_2Einteger_2Eint ).
thf(tp_j_mono_2Etyop_2Emin_2Ebool,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(tp_j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(tp_j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Einteger_2Eint > $o ).
thf(tp_j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(tp_j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ).
thf(tp_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 > $o > $o ).
thf(tp_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 > $o > $o > $o ).
thf(tp_mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint,type,
mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(tp_mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o ).
thf(tp_mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,type,
mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(tp_mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ).
thf(tp_mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
thf(tp_mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,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(tp_mono_2Ec_2Ebool_2EF,type,
mono_2Ec_2Ebool_2EF: $o ).
thf(tp_mono_2Ec_2Ebool_2ET,type,
mono_2Ec_2Ebool_2ET: $o ).
thf(tp_mono_2Ec_2Ebool_2E_2F_5C,type,
mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(tp_mono_2Ec_2Ebool_2E_5C_2F,type,
mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(tp_mono_2Ec_2Ebool_2E_7E,type,
mono_2Ec_2Ebool_2E_7E: $o > $o ).
thf(tp_mono_2Ec_2Einteger_2Eint__add,type,
mono_2Ec_2Einteger_2Eint__add: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(tp_mono_2Ec_2Einteger_2Eint__divides,type,
mono_2Ec_2Einteger_2Eint__divides: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ).
thf(tp_mono_2Ec_2Einteger_2Eint__neg,type,
mono_2Ec_2Einteger_2Eint__neg: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(tp_mono_2Ec_2Einteger_2Eint__sub,type,
mono_2Ec_2Einteger_2Eint__sub: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(tp_mono_2Ec_2Emin_2E_3D_3D_3E,type,
mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(tp_s,type,
s: d > u > du ).
thf(tp_sK1_V0p,type,
sK1_V0p: mono_2Etyop_2Einteger_2Eint ).
thf(tp_sK2_SY5614,type,
sK2_SY5614: mono_2Etyop_2Einteger_2Eint ).
thf(tp_sK3_SY5616,type,
sK3_SY5616: mono_2Etyop_2Einteger_2Eint ).
thf(tp_tyop_2Einteger_2Eint,type,
tyop_2Einteger_2Eint: d ).
thf(tp_tyop_2Emin_2Ebool,type,
tyop_2Emin_2Ebool: d ).
thf(tp_tyop_2Emin_2Efun,type,
tyop_2Emin_2Efun: d > d > d ).
thf(11,axiom,
! [V0p: mono_2Etyop_2Einteger_2Eint,V1q: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ ( mono_2Ec_2Einteger_2Eint__neg @ V1q ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V1q ) )
& ( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ V0p ) @ V1q )
= ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V1q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__NEG) ).
thf(12,axiom,
! [V0p: mono_2Etyop_2Einteger_2Eint,V1q: mono_2Etyop_2Einteger_2Eint,V2r: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V1q )
=> ( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ ( mono_2Ec_2Einteger_2Eint__add @ V2r @ V1q ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V2r ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RADD) ).
thf(13,axiom,
! [V0x: mono_2Etyop_2Einteger_2Eint,V1y: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__sub @ V0x @ V1y )
= ( mono_2Ec_2Einteger_2Eint__add @ V0x @ ( mono_2Ec_2Einteger_2Eint__neg @ V1y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2Eint__sub) ).
thf(68,conjecture,
! [V0p: mono_2Etyop_2Einteger_2Eint,V1q: mono_2Etyop_2Einteger_2Eint,V2r: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V1q )
=> ( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ V2r @ V1q ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V2r ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RSUB) ).
thf(69,negated_conjecture,
( ( ! [V0p: mono_2Etyop_2Einteger_2Eint,V1q: mono_2Etyop_2Einteger_2Eint,V2r: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V1q )
=> ( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ V2r @ V1q ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V2r ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[68]) ).
thf(70,plain,
( ( ! [V0p: mono_2Etyop_2Einteger_2Eint,V1q: mono_2Etyop_2Einteger_2Eint,V2r: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V1q )
=> ( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ V2r @ V1q ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V2r ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[69]) ).
thf(71,plain,
( ( ! [V0p: mono_2Etyop_2Einteger_2Eint,V1q: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ ( mono_2Ec_2Einteger_2Eint__neg @ V1q ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V1q ) )
& ( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ V0p ) @ V1q )
= ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V1q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(72,plain,
( ( ! [V0p: mono_2Etyop_2Einteger_2Eint,V1q: mono_2Etyop_2Einteger_2Eint,V2r: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V1q )
=> ( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ ( mono_2Ec_2Einteger_2Eint__add @ V2r @ V1q ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V2r ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(73,plain,
( ( ! [V0x: mono_2Etyop_2Einteger_2Eint,V1y: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__sub @ V0x @ V1y )
= ( mono_2Ec_2Einteger_2Eint__add @ V0x @ ( mono_2Ec_2Einteger_2Eint__neg @ V1y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(74,plain,
( ( ! [SY5614: mono_2Etyop_2Einteger_2Eint,SY5615: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ SY5614 )
=> ( ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ SY5615 @ SY5614 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ SY5615 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[70]) ).
thf(75,plain,
( ( ! [SY5616: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ sK2_SY5614 )
=> ( ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ SY5616 @ sK2_SY5614 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ SY5616 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[74]) ).
thf(76,plain,
( ( ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ sK2_SY5614 )
=> ( ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ sK3_SY5616 @ sK2_SY5614 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ sK3_SY5616 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[75]) ).
thf(77,plain,
( ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ sK2_SY5614 )
= $true ),
inference(standard_cnf,[status(thm)],[76]) ).
thf(78,plain,
( ( ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ sK3_SY5616 @ sK2_SY5614 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ sK3_SY5616 ) )
= $false ),
inference(standard_cnf,[status(thm)],[76]) ).
thf(79,plain,
( ( ( ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ sK3_SY5616 @ sK2_SY5614 ) )
!= ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ sK3_SY5616 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[78]) ).
thf(80,plain,
( ( ! [V0p: mono_2Etyop_2Einteger_2Eint,V1q: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ ( mono_2Ec_2Einteger_2Eint__neg @ V1q ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V1q ) )
& ! [V0p: mono_2Etyop_2Einteger_2Eint,V1q: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ V0p ) @ V1q )
= ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V1q ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[71]) ).
thf(81,plain,
( ( ! [V0p: mono_2Etyop_2Einteger_2Eint,V1q: mono_2Etyop_2Einteger_2Eint] :
( ~ ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V1q )
| ! [V2r: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ ( mono_2Ec_2Einteger_2Eint__add @ V2r @ V1q ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V2r ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(82,plain,
( ( ! [V0x: mono_2Etyop_2Einteger_2Eint,V1y: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__sub @ V0x @ V1y )
= ( mono_2Ec_2Einteger_2Eint__add @ V0x @ ( mono_2Ec_2Einteger_2Eint__neg @ V1y ) ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(83,plain,
( ( ! [V0p: mono_2Etyop_2Einteger_2Eint,V1q: mono_2Etyop_2Einteger_2Eint] :
( ~ ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V1q )
| ! [V2r: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ ( mono_2Ec_2Einteger_2Eint__add @ V2r @ V1q ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V2r ) ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(84,plain,
( ( ! [V0p: mono_2Etyop_2Einteger_2Eint,V1q: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ ( mono_2Ec_2Einteger_2Eint__neg @ V1q ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V1q ) )
& ! [V0p: mono_2Etyop_2Einteger_2Eint,V1q: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ V0p ) @ V1q )
= ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V1q ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(85,plain,
( ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ sK2_SY5614 )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(86,plain,
( ( ( ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ sK3_SY5616 @ sK2_SY5614 ) )
!= ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ sK3_SY5616 ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(87,plain,
( ( ~ ( ~ ! [SX0: mono_2Etyop_2Einteger_2Eint,SX1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ SX0 @ ( mono_2Ec_2Einteger_2Eint__neg @ SX1 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ SX0 @ SX1 ) )
| ~ ! [SX0: mono_2Etyop_2Einteger_2Eint,SX1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SX0 ) @ SX1 )
= ( mono_2Ec_2Einteger_2Eint__divides @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(88,plain,
! [SV1: mono_2Etyop_2Einteger_2Eint] :
( ( ! [SY5617: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__sub @ SV1 @ SY5617 )
= ( mono_2Ec_2Einteger_2Eint__add @ SV1 @ ( mono_2Ec_2Einteger_2Eint__neg @ SY5617 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(89,plain,
! [SV2: mono_2Etyop_2Einteger_2Eint] :
( ( ! [SY5618: mono_2Etyop_2Einteger_2Eint] :
( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SY5618 )
| ! [SY5619: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SY5619 @ SY5618 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SY5619 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(90,plain,
( ( ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ sK3_SY5616 @ sK2_SY5614 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ sK3_SY5616 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(91,plain,
( ( ~ ! [SX0: mono_2Etyop_2Einteger_2Eint,SX1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ SX0 @ ( mono_2Ec_2Einteger_2Eint__neg @ SX1 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ SX0 @ SX1 ) )
| ~ ! [SX0: mono_2Etyop_2Einteger_2Eint,SX1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SX0 ) @ SX1 )
= ( mono_2Ec_2Einteger_2Eint__divides @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(92,plain,
! [SV3: mono_2Etyop_2Einteger_2Eint,SV1: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__sub @ SV1 @ SV3 )
= ( mono_2Ec_2Einteger_2Eint__add @ SV1 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(93,plain,
! [SV4: mono_2Etyop_2Einteger_2Eint,SV2: mono_2Etyop_2Einteger_2Eint] :
( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV4 )
| ! [SY5620: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SY5620 @ SV4 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SY5620 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(94,plain,
( ( ~ ( ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ sK3_SY5616 @ sK2_SY5614 ) )
| ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ sK3_SY5616 ) )
| ~ ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ sK3_SY5616 @ sK2_SY5614 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ sK3_SY5616 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[90]) ).
thf(95,plain,
( ( ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ sK3_SY5616 @ sK2_SY5614 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ sK3_SY5616 ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[90]) ).
thf(96,plain,
( ( ~ ! [SX0: mono_2Etyop_2Einteger_2Eint,SX1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ SX0 @ ( mono_2Ec_2Einteger_2Eint__neg @ SX1 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(97,plain,
( ( ~ ! [SX0: mono_2Etyop_2Einteger_2Eint,SX1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SX0 ) @ SX1 )
= ( mono_2Ec_2Einteger_2Eint__divides @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(98,plain,
! [SV4: mono_2Etyop_2Einteger_2Eint,SV2: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV4 ) )
= $true )
| ( ( ! [SY5620: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SY5620 @ SV4 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SY5620 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(99,plain,
( ( ~ ( ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ sK3_SY5616 @ sK2_SY5614 ) )
| ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ sK3_SY5616 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(100,plain,
( ( ~ ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ sK3_SY5616 @ sK2_SY5614 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ sK3_SY5616 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(101,plain,
( ( ! [SX0: mono_2Etyop_2Einteger_2Eint,SX1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ SX0 @ ( mono_2Ec_2Einteger_2Eint__neg @ SX1 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(102,plain,
( ( ! [SX0: mono_2Etyop_2Einteger_2Eint,SX1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SX0 ) @ SX1 )
= ( mono_2Ec_2Einteger_2Eint__divides @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(103,plain,
! [SV4: mono_2Etyop_2Einteger_2Eint,SV2: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV4 )
= $false )
| ( ( ! [SY5620: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SY5620 @ SV4 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SY5620 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(104,plain,
( ( ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ sK3_SY5616 @ sK2_SY5614 ) )
| ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ sK3_SY5616 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(105,plain,
( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ sK3_SY5616 @ sK2_SY5614 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ sK3_SY5616 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(106,plain,
! [SV5: mono_2Etyop_2Einteger_2Eint] :
( ( ! [SY5621: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SY5621 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SY5621 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(107,plain,
! [SV6: mono_2Etyop_2Einteger_2Eint] :
( ( ! [SY5622: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SY5622 )
= ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SY5622 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(108,plain,
! [SV4: mono_2Etyop_2Einteger_2Eint,SV7: mono_2Etyop_2Einteger_2Eint,SV2: mono_2Etyop_2Einteger_2Eint] :
( ( ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SV7 @ SV4 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV7 ) )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(109,plain,
( ( ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ sK3_SY5616 @ sK2_SY5614 ) )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ sK3_SY5616 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(110,plain,
( ( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ sK3_SY5616 @ sK2_SY5614 ) ) )
= $true )
| ( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ sK3_SY5616 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(111,plain,
! [SV8: mono_2Etyop_2Einteger_2Eint,SV5: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV8 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(112,plain,
! [SV9: mono_2Etyop_2Einteger_2Eint,SV6: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SV9 )
= ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(113,plain,
! [SV4: mono_2Etyop_2Einteger_2Eint,SV7: mono_2Etyop_2Einteger_2Eint,SV2: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SV7 @ SV4 ) )
| ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV7 ) )
| ~ ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SV7 @ SV4 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV7 ) ) )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[108]) ).
thf(114,plain,
! [SV4: mono_2Etyop_2Einteger_2Eint,SV7: mono_2Etyop_2Einteger_2Eint,SV2: mono_2Etyop_2Einteger_2Eint] :
( ( ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SV7 @ SV4 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV7 ) )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[108]) ).
thf(115,plain,
( ( ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ sK3_SY5616 @ sK2_SY5614 ) )
= $false )
| ( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ sK3_SY5616 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(116,plain,
! [SV8: mono_2Etyop_2Einteger_2Eint,SV5: mono_2Etyop_2Einteger_2Eint] :
( ( ~ ( ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV8 ) )
| ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SV8 ) )
| ~ ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV8 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SV8 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[111]) ).
thf(117,plain,
! [SV8: mono_2Etyop_2Einteger_2Eint,SV5: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV8 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SV8 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[111]) ).
thf(118,plain,
! [SV9: mono_2Etyop_2Einteger_2Eint,SV6: mono_2Etyop_2Einteger_2Eint] :
( ( ~ ( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SV9 )
| ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SV9 ) )
| ~ ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SV9 )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SV9 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[112]) ).
thf(119,plain,
! [SV9: mono_2Etyop_2Einteger_2Eint,SV6: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SV9 )
= ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SV9 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[112]) ).
thf(120,plain,
! [SV4: mono_2Etyop_2Einteger_2Eint,SV7: mono_2Etyop_2Einteger_2Eint,SV2: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SV7 @ SV4 ) )
| ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV7 ) ) )
= $true )
| ( ( ~ ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SV7 @ SV4 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV7 ) ) )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(121,plain,
( ( ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ sK3_SY5616 )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ sK1_V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ sK3_SY5616 @ sK2_SY5614 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(122,plain,
! [SV8: mono_2Etyop_2Einteger_2Eint,SV5: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV8 ) )
| ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SV8 ) ) )
= $true )
| ( ( ~ ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV8 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(123,plain,
! [SV9: mono_2Etyop_2Einteger_2Eint,SV6: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SV9 )
| ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SV9 ) ) )
= $true )
| ( ( ~ ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SV9 )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(124,plain,
! [SV4: mono_2Etyop_2Einteger_2Eint,SV7: mono_2Etyop_2Einteger_2Eint,SV2: mono_2Etyop_2Einteger_2Eint] :
( ( ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SV7 @ SV4 ) )
| ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV7 ) )
= $false )
| ( ( ~ ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SV7 @ SV4 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV7 ) ) )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(125,plain,
! [SV8: mono_2Etyop_2Einteger_2Eint,SV5: mono_2Etyop_2Einteger_2Eint] :
( ( ( ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV8 ) )
| ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SV8 ) )
= $false )
| ( ( ~ ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV8 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(126,plain,
! [SV9: mono_2Etyop_2Einteger_2Eint,SV6: mono_2Etyop_2Einteger_2Eint] :
( ( ( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SV9 )
| ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SV9 ) )
= $false )
| ( ( ~ ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SV9 )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(127,plain,
! [SV4: mono_2Etyop_2Einteger_2Eint,SV7: mono_2Etyop_2Einteger_2Eint,SV2: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SV7 @ SV4 ) )
= $false )
| ( ( ~ ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SV7 @ SV4 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV7 ) ) )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(128,plain,
! [SV4: mono_2Etyop_2Einteger_2Eint,SV7: mono_2Etyop_2Einteger_2Eint,SV2: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV7 )
= $false )
| ( ( ~ ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SV7 @ SV4 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV7 ) ) )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(129,plain,
! [SV8: mono_2Etyop_2Einteger_2Eint,SV5: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV8 ) )
= $false )
| ( ( ~ ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV8 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(130,plain,
! [SV8: mono_2Etyop_2Einteger_2Eint,SV5: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SV8 )
= $false )
| ( ( ~ ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV8 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(131,plain,
! [SV9: mono_2Etyop_2Einteger_2Eint,SV6: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SV9 )
= $false )
| ( ( ~ ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SV9 )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(132,plain,
! [SV9: mono_2Etyop_2Einteger_2Eint,SV6: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SV9 )
= $false )
| ( ( ~ ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SV9 )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(133,plain,
! [SV4: mono_2Etyop_2Einteger_2Eint,SV7: mono_2Etyop_2Einteger_2Eint,SV2: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SV7 @ SV4 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV7 ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SV7 @ SV4 ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(134,plain,
! [SV4: mono_2Etyop_2Einteger_2Eint,SV7: mono_2Etyop_2Einteger_2Eint,SV2: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SV7 @ SV4 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV7 ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV7 )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(135,plain,
! [SV8: mono_2Etyop_2Einteger_2Eint,SV5: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV8 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SV8 ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(136,plain,
! [SV8: mono_2Etyop_2Einteger_2Eint,SV5: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV8 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SV8 ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(137,plain,
! [SV9: mono_2Etyop_2Einteger_2Eint,SV6: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SV9 )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SV9 ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(138,plain,
! [SV9: mono_2Etyop_2Einteger_2Eint,SV6: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SV9 )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SV9 ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(139,plain,
! [SV4: mono_2Etyop_2Einteger_2Eint,SV7: mono_2Etyop_2Einteger_2Eint,SV2: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SV7 @ SV4 ) ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SV7 @ SV4 ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(140,plain,
! [SV4: mono_2Etyop_2Einteger_2Eint,SV7: mono_2Etyop_2Einteger_2Eint,SV2: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV7 ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SV7 @ SV4 ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(141,plain,
! [SV4: mono_2Etyop_2Einteger_2Eint,SV7: mono_2Etyop_2Einteger_2Eint,SV2: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SV7 @ SV4 ) ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV7 )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(142,plain,
! [SV4: mono_2Etyop_2Einteger_2Eint,SV7: mono_2Etyop_2Einteger_2Eint,SV2: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV7 ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV7 )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(143,plain,
! [SV8: mono_2Etyop_2Einteger_2Eint,SV5: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV8 ) ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(144,plain,
! [SV8: mono_2Etyop_2Einteger_2Eint,SV5: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SV8 ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(145,plain,
! [SV8: mono_2Etyop_2Einteger_2Eint,SV5: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV8 ) ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(146,plain,
! [SV8: mono_2Etyop_2Einteger_2Eint,SV5: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SV8 ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(147,plain,
! [SV9: mono_2Etyop_2Einteger_2Eint,SV6: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SV9 ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[137]) ).
thf(148,plain,
! [SV9: mono_2Etyop_2Einteger_2Eint,SV6: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SV9 ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[137]) ).
thf(149,plain,
! [SV9: mono_2Etyop_2Einteger_2Eint,SV6: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SV9 ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(150,plain,
! [SV9: mono_2Etyop_2Einteger_2Eint,SV6: mono_2Etyop_2Einteger_2Eint] :
( ( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SV9 ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(151,plain,
! [SV4: mono_2Etyop_2Einteger_2Eint,SV7: mono_2Etyop_2Einteger_2Eint,SV2: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SV7 @ SV4 ) )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SV7 @ SV4 ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(152,plain,
! [SV4: mono_2Etyop_2Einteger_2Eint,SV7: mono_2Etyop_2Einteger_2Eint,SV2: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV7 )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SV7 @ SV4 ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(153,plain,
! [SV4: mono_2Etyop_2Einteger_2Eint,SV7: mono_2Etyop_2Einteger_2Eint,SV2: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ ( mono_2Ec_2Einteger_2Eint__add @ SV7 @ SV4 ) )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV7 )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(154,plain,
! [SV4: mono_2Etyop_2Einteger_2Eint,SV7: mono_2Etyop_2Einteger_2Eint,SV2: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV7 )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV7 )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(155,plain,
! [SV8: mono_2Etyop_2Einteger_2Eint,SV5: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV8 ) )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(156,plain,
! [SV8: mono_2Etyop_2Einteger_2Eint,SV5: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SV8 )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(157,plain,
! [SV8: mono_2Etyop_2Einteger_2Eint,SV5: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ ( mono_2Ec_2Einteger_2Eint__neg @ SV8 ) )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(158,plain,
! [SV8: mono_2Etyop_2Einteger_2Eint,SV5: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SV8 )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV5 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(159,plain,
! [SV9: mono_2Etyop_2Einteger_2Eint,SV6: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SV9 )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(160,plain,
! [SV9: mono_2Etyop_2Einteger_2Eint,SV6: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SV9 )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(161,plain,
! [SV9: mono_2Etyop_2Einteger_2Eint,SV6: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ SV6 ) @ SV9 )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(162,plain,
! [SV9: mono_2Etyop_2Einteger_2Eint,SV6: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SV9 )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ SV6 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(163,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[85,162,161,160,159,158,157,156,155,154,153,152,151,121,119,117,114,109,95,92]) ).
thf(164,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP012^1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n021.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 : 600
% 0.13/0.33 % DateTime : Fri Jun 3 00:24:02 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.37 .
% 0.18/0.41
% 0.18/0.41 No.of.Axioms: 67
% 0.18/0.41
% 0.18/0.41 Length.of.Defs: 0
% 0.18/0.41
% 0.18/0.41 Contains.Choice.Funs: false
% 0.18/0.45 ..
% 0.18/0.47 (rf:0,axioms:67,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:69,loop_count:0,foatp_calls:0,translation:fof_full)............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
% 83.28/83.50 (rf:0,axioms:67,ps:2,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:69,loop_count:0,foatp_calls:0,translation:fof_full)........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
% 164.94/165.26 (rf:0,axioms:67,ps:3,u:8,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:69,loop_count:0,foatp_calls:0,translation:fof_full).............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
% 230.53/230.83 (rf:2,axioms:3,ps:1,u:3,ude:true,rLeibEQ:false,rAndEQ:false,use_choice:false,use_extuni:false,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:69,loop_count:0,foatp_calls:0,translation:fof_full)..
% 230.53/230.89
% 230.53/230.89 ********************************
% 230.53/230.89 * All subproblems solved! *
% 230.53/230.89 ********************************
% 230.53/230.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:4,ps:1,u:3,ude:true,rLeibEQ:false,rAndEQ:false,use_choice:false,use_extuni:false,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:163,loop_count:0,foatp_calls:1,translation:fof_full)
% 230.53/230.90
% 230.53/230.90 %**** Beginning of derivation protocol ****
% 230.53/230.90 % SZS output start CNFRefutation
% See solution above
% 230.53/230.90
% 230.53/230.90 %**** End of derivation protocol ****
% 230.53/230.90 %**** no. of clauses in derivation: 100 ****
% 230.53/230.90 %**** clause counter: 163 ****
% 230.53/230.90
% 230.53/230.90 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:4,ps:1,u:3,ude:true,rLeibEQ:false,rAndEQ:false,use_choice:false,use_extuni:false,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:163,loop_count:0,foatp_calls:1,translation:fof_full)
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