%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW211+1 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RmW0fXfLyu true
% Computer : n008.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 05:02:25 PM UTC 2025
% Result : Theorem 179.90s 26.30s
% Output : Refutation 180.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 35 ( 8 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 507 ( 12 ~; 6 |; 0 &; 486 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 27 usr; 11 con; 0-5 aty)
% Number of variables : 32 ( 0 ^; 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Groups_Oplus__class_Oplus_type,type,
c_Groups_Oplus__class_Oplus: $i > $i > $i > $i ).
thf(tc_RealDef_Oreal_type,type,
tc_RealDef_Oreal: $i ).
thf(c_RealVector_Onorm__class_Onorm_type,type,
c_RealVector_Onorm__class_Onorm: $i > $i > $i ).
thf(c_Int_OBit1_type,type,
c_Int_OBit1: $i > $i ).
thf(v_ga_____type,type,
v_ga____: $i ).
thf(v_n_____type,type,
v_n____: $i ).
thf(c_Rings_Oinverse__class_Odivide_type,type,
c_Rings_Oinverse__class_Odivide: $i > $i > $i > $i ).
thf(c_Groups_Oabs__class_Oabs_type,type,
c_Groups_Oabs__class_Oabs: $i > $i > $i ).
thf(c_Complex_Ocomplex_OComplex_type,type,
c_Complex_Ocomplex_OComplex: $i > $i > $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(class_Orderings_Opreorder_type,type,
class_Orderings_Opreorder: $i > $o ).
thf(v_x_____type,type,
v_x____: $i ).
thf(c_Orderings_Oord__class_Oless_type,type,
c_Orderings_Oord__class_Oless: $i > $i > $i > $o ).
thf(v_s_type,type,
v_s: $i > $i ).
thf(tc_Complex_Ocomplex_type,type,
tc_Complex_Ocomplex: $i ).
thf(v_e_____type,type,
v_e____: $i ).
thf(c_Int_OPls_type,type,
c_Int_OPls: $i ).
thf(c_Groups_Ominus__class_Ominus_type,type,
c_Groups_Ominus__class_Ominus: $i > $i > $i > $i ).
thf(tc_Nat_Onat_type,type,
tc_Nat_Onat: $i ).
thf(c_Orderings_Oord__class_Oless__eq_type,type,
c_Orderings_Oord__class_Oless__eq: $i > $i > $i > $o ).
thf(v_y_____type,type,
v_y____: $i ).
thf(c_Int_Onumber__class_Onumber__of_type,type,
c_Int_Onumber__class_Onumber__of: $i > $i > $i ).
thf(c_Complex_OIm_type,type,
c_Complex_OIm: $i > $i ).
thf(c_Fun_Ocomp_type,type,
c_Fun_Ocomp: $i > $i > $i > $i > $i > $i ).
thf(v_f_____type,type,
v_f____: $i ).
thf(c_Int_OBit0_type,type,
c_Int_OBit0: $i > $i ).
thf(c_Complex_ORe_type,type,
c_Complex_ORe: $i > $i ).
thf(fact__096abs_A_IRe_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ax_J_A_L_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ay_J_A_060_Ae_A_P_A2_A_L_Ae_A_P_A2_096,axiom,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Complex_ORe @ ( v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ v_n____ ) ) ) ) @ v_x____ ) ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Complex_OIm @ ( v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ v_n____ ) ) ) ) @ v_y____ ) ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ v_e____ @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ v_e____ @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ) ).
thf(zip_derived_cl467,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Complex_ORe @ ( v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ v_n____ ) ) ) ) @ v_x____ ) ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Complex_OIm @ ( v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ v_n____ ) ) ) ) @ v_y____ ) ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ v_e____ @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ v_e____ @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ),
inference(cnf,[status(esa)],[fact__096abs_A_IRe_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ax_J_A_L_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ay_J_A_060_Ae_A_P_A2_A_L_Ae_A_P_A2_096]) ).
thf(fact_real__sum__of__halves,axiom,
! [V_x: $i] :
( ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ V_x @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ V_x @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) )
= V_x ) ).
thf(zip_derived_cl484,plain,
! [X0: $i] :
( ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ X0 @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ X0 @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) )
= X0 ),
inference(cnf,[status(esa)],[fact_real__sum__of__halves]) ).
thf(zip_derived_cl1848,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Complex_ORe @ ( v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ v_n____ ) ) ) ) @ v_x____ ) ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Complex_OIm @ ( v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ v_n____ ) ) ) ) @ v_y____ ) ) ) @ v_e____,
inference(demod,[status(thm)],[zip_derived_cl467,zip_derived_cl484]) ).
thf(conj_0,conjecture,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( v_s @ ( hAPP @ ( c_Fun_Ocomp @ tc_Nat_Onat @ tc_Nat_Onat @ tc_Nat_Onat @ v_f____ @ v_ga____ ) @ v_n____ ) ) @ ( c_Complex_Ocomplex_OComplex @ v_x____ @ v_y____ ) ) ) @ v_e____ ).
thf(zf_stmt_0,negated_conjecture,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( v_s @ ( hAPP @ ( c_Fun_Ocomp @ tc_Nat_Onat @ tc_Nat_Onat @ tc_Nat_Onat @ v_f____ @ v_ga____ ) @ v_n____ ) ) @ ( c_Complex_Ocomplex_OComplex @ v_x____ @ v_y____ ) ) ) @ v_e____ ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl1670,plain,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( v_s @ ( hAPP @ ( c_Fun_Ocomp @ tc_Nat_Onat @ tc_Nat_Onat @ tc_Nat_Onat @ v_f____ @ v_ga____ ) @ v_n____ ) ) @ ( c_Complex_Ocomplex_OComplex @ v_x____ @ v_y____ ) ) ) @ v_e____ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_o__apply,axiom,
! [V_xa_2: $i,V_gb_2: $i,V_fa_2: $i,T_c: $i,T_a: $i,T_b: $i] :
( ( hAPP @ ( c_Fun_Ocomp @ T_b @ T_a @ T_c @ V_fa_2 @ V_gb_2 ) @ V_xa_2 )
= ( hAPP @ V_fa_2 @ ( hAPP @ V_gb_2 @ V_xa_2 ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( hAPP @ ( c_Fun_Ocomp @ X3 @ X4 @ X5 @ X0 @ X1 ) @ X2 )
= ( hAPP @ X0 @ ( hAPP @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_o__apply]) ).
thf(zip_derived_cl1671,plain,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ v_n____ ) ) ) @ ( c_Complex_Ocomplex_OComplex @ v_x____ @ v_y____ ) ) ) @ v_e____ ),
inference(demod,[status(thm)],[zip_derived_cl1670,zip_derived_cl14]) ).
thf(fact_order__le__less__trans,axiom,
! [V_z: $i,V_y: $i,V_x: $i,T_a: $i] :
( ( class_Orderings_Opreorder @ T_a )
=> ( ( c_Orderings_Oord__class_Oless__eq @ T_a @ V_x @ V_y )
=> ( ( c_Orderings_Oord__class_Oless @ T_a @ V_y @ V_z )
=> ( c_Orderings_Oord__class_Oless @ T_a @ V_x @ V_z ) ) ) ) ).
thf(zip_derived_cl64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( c_Orderings_Oord__class_Oless__eq @ X0 @ X1 @ X2 )
| ( c_Orderings_Oord__class_Oless @ X0 @ X1 @ X3 )
| ~ ( c_Orderings_Oord__class_Oless @ X0 @ X2 @ X3 )
| ~ ( class_Orderings_Opreorder @ X0 ) ),
inference(cnf,[status(esa)],[fact_order__le__less__trans]) ).
thf(zip_derived_cl2882,plain,
! [X0: $i] :
( ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ v_n____ ) ) ) @ ( c_Complex_Ocomplex_OComplex @ v_x____ @ v_y____ ) ) ) @ X0 )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X0 @ v_e____ )
| ~ ( class_Orderings_Opreorder @ tc_RealDef_Oreal ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1671,zip_derived_cl64]) ).
thf(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder @ tc_RealDef_Oreal ).
thf(zip_derived_cl1576,plain,
class_Orderings_Opreorder @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Orderings_Opreorder]) ).
thf(zip_derived_cl2901,plain,
! [X0: $i] :
( ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ v_n____ ) ) ) @ ( c_Complex_Ocomplex_OComplex @ v_x____ @ v_y____ ) ) ) @ X0 )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X0 @ v_e____ ) ),
inference(demod,[status(thm)],[zip_derived_cl2882,zip_derived_cl1576]) ).
thf(zip_derived_cl103559,plain,
~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ v_n____ ) ) ) @ ( c_Complex_Ocomplex_OComplex @ v_x____ @ v_y____ ) ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Complex_ORe @ ( v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ v_n____ ) ) ) ) @ v_x____ ) ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Complex_OIm @ ( v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ v_n____ ) ) ) ) @ v_y____ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1848,zip_derived_cl2901]) ).
thf(fact__096cmod_A_Is_A_If_A_Ig_An_J_J_A_N_AComplex_Ax_Ay_J_060_061_Aabs_A_IRe_A_Is_A_If_A_Ig_An_J_J_J_A_N_ARe_A_IComplex_Ax_Ay_J_J_A_L_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_AIm_A_IComplex_Ax_Ay_J_J_096,axiom,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ v_n____ ) ) ) @ ( c_Complex_Ocomplex_OComplex @ v_x____ @ v_y____ ) ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Complex_ORe @ ( v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ v_n____ ) ) ) ) @ ( c_Complex_ORe @ ( c_Complex_Ocomplex_OComplex @ v_x____ @ v_y____ ) ) ) ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Complex_OIm @ ( v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ v_n____ ) ) ) ) @ ( c_Complex_OIm @ ( c_Complex_Ocomplex_OComplex @ v_x____ @ v_y____ ) ) ) ) ) ).
thf(zip_derived_cl375,plain,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ v_n____ ) ) ) @ ( c_Complex_Ocomplex_OComplex @ v_x____ @ v_y____ ) ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Complex_ORe @ ( v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ v_n____ ) ) ) ) @ ( c_Complex_ORe @ ( c_Complex_Ocomplex_OComplex @ v_x____ @ v_y____ ) ) ) ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Complex_OIm @ ( v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ v_n____ ) ) ) ) @ ( c_Complex_OIm @ ( c_Complex_Ocomplex_OComplex @ v_x____ @ v_y____ ) ) ) ) ),
inference(cnf,[status(esa)],[fact__096cmod_A_Is_A_If_A_Ig_An_J_J_A_N_AComplex_Ax_Ay_J_060_061_Aabs_A_IRe_A_Is_A_If_A_Ig_An_J_J_J_A_N_ARe_A_IComplex_Ax_Ay_J_J_A_L_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_AIm_A_IComplex_Ax_Ay_J_J_096]) ).
thf(fact_Re,axiom,
! [V_y: $i,V_x: $i] :
( ( c_Complex_ORe @ ( c_Complex_Ocomplex_OComplex @ V_x @ V_y ) )
= V_x ) ).
thf(zip_derived_cl410,plain,
! [X0: $i,X1: $i] :
( ( c_Complex_ORe @ ( c_Complex_Ocomplex_OComplex @ X0 @ X1 ) )
= X0 ),
inference(cnf,[status(esa)],[fact_Re]) ).
thf(fact_Im,axiom,
! [V_y: $i,V_x: $i] :
( ( c_Complex_OIm @ ( c_Complex_Ocomplex_OComplex @ V_x @ V_y ) )
= V_y ) ).
thf(zip_derived_cl409,plain,
! [X0: $i,X1: $i] :
( ( c_Complex_OIm @ ( c_Complex_Ocomplex_OComplex @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[fact_Im]) ).
thf(zip_derived_cl1817,plain,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ v_n____ ) ) ) @ ( c_Complex_Ocomplex_OComplex @ v_x____ @ v_y____ ) ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Complex_ORe @ ( v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ v_n____ ) ) ) ) @ v_x____ ) ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Complex_OIm @ ( v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ v_n____ ) ) ) ) @ v_y____ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl375,zip_derived_cl410,zip_derived_cl409]) ).
thf(zip_derived_cl103603,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl103559,zip_derived_cl1817]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWW211+1 : TPTP v9.2.0. Released v5.2.0.
% 0.09/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RmW0fXfLyu true
% 0.10/0.31 % Computer : n008.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 11:57:08 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in FO mode
% 0.16/0.57 % Total configuration time : 435
% 0.16/0.57 % Estimated wc time : 1092
% 0.16/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.86/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.86/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.86/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.86/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.86/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.86/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.86/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 179.90/26.30 % Solved by fo/fo13.sh.
% 179.90/26.30 % done 5163 iterations in 25.589s
% 179.90/26.30 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 179.90/26.30 % SZS output start Refutation
% See solution above
% 180.18/26.30
% 180.18/26.30
% 180.18/26.30 % Terminating...
% 180.18/26.35 % Runner terminated.
% 180.20/26.36 % Zipperpin 1.5 exiting
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