%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP012_1 : TPTP v9.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4t3HLZWhAC true
% 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 : Thu Oct 2 04:38:19 PM UTC 2025
% Result : Theorem 0.58s 0.84s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 38 ( 28 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 239 ( 10 ~; 3 |; 1 &; 222 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 49 ( 0 ^; 49 !; 0 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(mono_2Etyop_2Emin_2Ebool_type,type,
mono_2Etyop_2Emin_2Ebool: $tType ).
thf(mono_2Etyop_2Einteger_2Eint_type,type,
mono_2Etyop_2Einteger_2Eint: $tType ).
thf(mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_type,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: $tType ).
thf(mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_type,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: $tType ).
thf(mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_type,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: $tType ).
thf(mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_type,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: $tType ).
thf(mono_2Ec_2Einteger_2Eint__add_2E0_type,type,
mono_2Ec_2Einteger_2Eint__add_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ).
thf(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_type,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2Einteger_2Eint__divides_2E2_type,type,
mono_2Ec_2Einteger_2Eint__divides_2E2: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Emin_2Ebool ).
thf(p_type,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
thf(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_type,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 ).
thf(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool_type,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Emin_2Ebool ).
thf(mono_2Ec_2Einteger_2Eint__divides_2E0_type,type,
mono_2Ec_2Einteger_2Eint__divides_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 ).
thf(mono_2Ec_2Einteger_2Eint__sub_2E2_type,type,
mono_2Ec_2Einteger_2Eint__sub_2E2: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(sk__1_type,type,
sk__1: mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint_type,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2Einteger_2Eint__neg_2E1_type,type,
mono_2Ec_2Einteger_2Eint__neg_2E1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2Einteger_2Eint__add_2E2_type,type,
mono_2Ec_2Einteger_2Eint__add_2E2: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(sk__type,type,
sk_: mono_2Etyop_2Einteger_2Eint ).
thf(sk__2_type,type,
sk__2: mono_2Etyop_2Einteger_2Eint ).
thf(thm_2Einteger_2EINT__DIVIDES__RADD,axiom,
! [V0p_2E0: mono_2Etyop_2Einteger_2Eint,V1q_2E0: mono_2Etyop_2Einteger_2Eint,V2r_2E0: mono_2Etyop_2Einteger_2Eint] :
( ( p @ ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ V0p_2E0 @ V1q_2E0 ) )
=> ( ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ V0p_2E0 @ ( mono_2Ec_2Einteger_2Eint__add_2E2 @ V2r_2E0 @ V1q_2E0 ) )
= ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ V0p_2E0 @ V2r_2E0 ) ) ) ).
thf(zip_derived_cl35,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
( ~ ( p @ ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ X0 @ X1 ) )
| ( ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ X0 @ ( mono_2Ec_2Einteger_2Eint__add_2E2 @ X2 @ X1 ) )
= ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[thm_2Einteger_2EINT__DIVIDES__RADD]) ).
thf(arityeq2_2Ec_2Einteger_2Eint__divides_2E2,axiom,
! [X0_2E0: mono_2Etyop_2Einteger_2Eint,X1_2E0: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ X0_2E0 @ X1_2E0 )
= ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Einteger_2Eint__divides_2E0 @ X0_2E0 ) @ X1_2E0 ) ) ).
thf(zip_derived_cl9,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ X0 @ X1 )
= ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Einteger_2Eint__divides_2E0 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[arityeq2_2Ec_2Einteger_2Eint__divides_2E2]) ).
thf(arityeq2_2Ec_2Einteger_2Eint__add_2E2,axiom,
! [X0_2E0: mono_2Etyop_2Einteger_2Eint,X1_2E0: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__add_2E2 @ X0_2E0 @ X1_2E0 )
= ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ mono_2Ec_2Einteger_2Eint__add_2E0 @ X0_2E0 ) @ X1_2E0 ) ) ).
thf(zip_derived_cl8,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__add_2E2 @ X0 @ X1 )
= ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ mono_2Ec_2Einteger_2Eint__add_2E0 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[arityeq2_2Ec_2Einteger_2Eint__add_2E2]) ).
thf(zip_derived_cl9_001,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ X0 @ X1 )
= ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Einteger_2Eint__divides_2E0 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[arityeq2_2Ec_2Einteger_2Eint__divides_2E2]) ).
thf(zip_derived_cl9_002,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ X0 @ X1 )
= ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Einteger_2Eint__divides_2E0 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[arityeq2_2Ec_2Einteger_2Eint__divides_2E2]) ).
thf(zip_derived_cl1644,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
( ~ ( p @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Einteger_2Eint__divides_2E0 @ X0 ) @ X1 ) )
| ( ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Einteger_2Eint__divides_2E0 @ X0 ) @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ mono_2Ec_2Einteger_2Eint__add_2E0 @ X2 ) @ X1 ) )
= ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Einteger_2Eint__divides_2E0 @ X0 ) @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl9,zip_derived_cl8,zip_derived_cl9,zip_derived_cl9]) ).
thf(thm_2Einteger_2EINT__DIVIDES__RSUB,conjecture,
! [V0p_2E0: mono_2Etyop_2Einteger_2Eint,V1q_2E0: mono_2Etyop_2Einteger_2Eint,V2r_2E0: mono_2Etyop_2Einteger_2Eint] :
( ( p @ ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ V0p_2E0 @ V1q_2E0 ) )
=> ( ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ V0p_2E0 @ ( mono_2Ec_2Einteger_2Eint__sub_2E2 @ V2r_2E0 @ V1q_2E0 ) )
= ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ V0p_2E0 @ V2r_2E0 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [V0p_2E0: mono_2Etyop_2Einteger_2Eint,V1q_2E0: mono_2Etyop_2Einteger_2Eint,V2r_2E0: mono_2Etyop_2Einteger_2Eint] :
( ( p @ ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ V0p_2E0 @ V1q_2E0 ) )
=> ( ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ V0p_2E0 @ ( mono_2Ec_2Einteger_2Eint__sub_2E2 @ V2r_2E0 @ V1q_2E0 ) )
= ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ V0p_2E0 @ V2r_2E0 ) ) ),
inference('cnf.neg',[status(esa)],[thm_2Einteger_2EINT__DIVIDES__RSUB]) ).
thf(zip_derived_cl148,plain,
( ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ sk_ @ ( mono_2Ec_2Einteger_2Eint__sub_2E2 @ sk__2 @ sk__1 ) )
!= ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ sk_ @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(thm_2Einteger_2Eint__sub,axiom,
! [V0x_2E0: mono_2Etyop_2Einteger_2Eint,V1y_2E0: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__sub_2E2 @ V0x_2E0 @ V1y_2E0 )
= ( mono_2Ec_2Einteger_2Eint__add_2E2 @ V0x_2E0 @ ( mono_2Ec_2Einteger_2Eint__neg_2E1 @ V1y_2E0 ) ) ) ).
thf(zip_derived_cl34,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__sub_2E2 @ X0 @ X1 )
= ( mono_2Ec_2Einteger_2Eint__add_2E2 @ X0 @ ( mono_2Ec_2Einteger_2Eint__neg_2E1 @ X1 ) ) ),
inference(cnf,[status(esa)],[thm_2Einteger_2Eint__sub]) ).
thf(zip_derived_cl1308,plain,
( ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ sk_ @ ( mono_2Ec_2Einteger_2Eint__add_2E2 @ sk__2 @ ( mono_2Ec_2Einteger_2Eint__neg_2E1 @ sk__1 ) ) )
!= ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ sk_ @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl34]) ).
thf(zip_derived_cl8_003,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__add_2E2 @ X0 @ X1 )
= ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ mono_2Ec_2Einteger_2Eint__add_2E0 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[arityeq2_2Ec_2Einteger_2Eint__add_2E2]) ).
thf(zip_derived_cl1391,plain,
( ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ sk_ @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ mono_2Ec_2Einteger_2Eint__add_2E0 @ sk__2 ) @ ( mono_2Ec_2Einteger_2Eint__neg_2E1 @ sk__1 ) ) )
!= ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ sk_ @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1308,zip_derived_cl8]) ).
thf(zip_derived_cl9_004,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ X0 @ X1 )
= ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Einteger_2Eint__divides_2E0 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[arityeq2_2Ec_2Einteger_2Eint__divides_2E2]) ).
thf(zip_derived_cl9_005,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ X0 @ X1 )
= ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Einteger_2Eint__divides_2E0 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[arityeq2_2Ec_2Einteger_2Eint__divides_2E2]) ).
thf(zip_derived_cl1403,plain,
( ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Einteger_2Eint__divides_2E0 @ sk_ ) @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ mono_2Ec_2Einteger_2Eint__add_2E0 @ sk__2 ) @ ( mono_2Ec_2Einteger_2Eint__neg_2E1 @ sk__1 ) ) )
!= ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Einteger_2Eint__divides_2E0 @ sk_ ) @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1391,zip_derived_cl9,zip_derived_cl9]) ).
thf(zip_derived_cl1645,plain,
( ( ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Einteger_2Eint__divides_2E0 @ sk_ ) @ sk__2 )
!= ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Einteger_2Eint__divides_2E0 @ sk_ ) @ sk__2 ) )
| ~ ( p @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Einteger_2Eint__divides_2E0 @ sk_ ) @ ( mono_2Ec_2Einteger_2Eint__neg_2E1 @ sk__1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1644,zip_derived_cl1403]) ).
thf(zip_derived_cl1646,plain,
~ ( p @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Einteger_2Eint__divides_2E0 @ sk_ ) @ ( mono_2Ec_2Einteger_2Eint__neg_2E1 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1645]) ).
thf(thm_2Einteger_2EINT__DIVIDES__NEG,axiom,
! [V0p_2E0: mono_2Etyop_2Einteger_2Eint,V1q_2E0: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ ( mono_2Ec_2Einteger_2Eint__neg_2E1 @ V0p_2E0 ) @ V1q_2E0 )
= ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ V0p_2E0 @ V1q_2E0 ) )
& ( ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ V0p_2E0 @ ( mono_2Ec_2Einteger_2Eint__neg_2E1 @ V1q_2E0 ) )
= ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ V0p_2E0 @ V1q_2E0 ) ) ) ).
thf(zip_derived_cl36,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ X0 @ ( mono_2Ec_2Einteger_2Eint__neg_2E1 @ X1 ) )
= ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[thm_2Einteger_2EINT__DIVIDES__NEG]) ).
thf(zip_derived_cl9_006,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ X0 @ X1 )
= ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Einteger_2Eint__divides_2E0 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[arityeq2_2Ec_2Einteger_2Eint__divides_2E2]) ).
thf(zip_derived_cl9_007,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ X0 @ X1 )
= ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Einteger_2Eint__divides_2E0 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[arityeq2_2Ec_2Einteger_2Eint__divides_2E2]) ).
thf(zip_derived_cl1392,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Einteger_2Eint__divides_2E0 @ X0 ) @ ( mono_2Ec_2Einteger_2Eint__neg_2E1 @ X1 ) )
= ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Einteger_2Eint__divides_2E0 @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl9,zip_derived_cl9]) ).
thf(zip_derived_cl149,plain,
p @ ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ sk_ @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_008,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2 @ X0 @ X1 )
= ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Einteger_2Eint__divides_2E0 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[arityeq2_2Ec_2Einteger_2Eint__divides_2E2]) ).
thf(zip_derived_cl1394,plain,
p @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool @ ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Einteger_2Eint__divides_2E0 @ sk_ ) @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl9]) ).
thf(zip_derived_cl1704,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1646,zip_derived_cl1392,zip_derived_cl1394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP012_1 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4t3HLZWhAC true
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 15:27:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.84 % Solved by fo/fo3_bce.sh.
% 0.58/0.84 % BCE start: 150
% 0.58/0.84 % BCE eliminated: 0
% 0.58/0.84 % PE start: 150
% 0.58/0.84 logic: eq
% 0.58/0.84 % PE eliminated: 96
% 0.58/0.84 % done 84 iterations in 0.083s
% 0.58/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.84 % SZS output start Refutation
% See solution above
% 0.58/0.84
% 0.58/0.84
% 0.58/0.85 % Terminating...
% 0.59/1.00 % Runner terminated.
% 0.59/1.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------