%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW179+1 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oaH0nx0hmK true
% Computer : n001.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 05:02:23 PM UTC 2025
% Result : Theorem 149.73s 22.01s
% Output : Refutation 149.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 44 ( 6 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 293 ( 15 ~; 10 |; 0 &; 262 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 6 con; 0-3 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_RealVector_Onorm__class_Onorm_type,type,
c_RealVector_Onorm__class_Onorm: $i > $i > $i ).
thf(tc_RealDef_Oreal_type,type,
tc_RealDef_Oreal: $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(c_Groups_Ozero__class_Ozero_type,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
thf(v_r_type,type,
v_r: $i ).
thf(c_Groups_Oone__class_Oone_type,type,
c_Groups_Oone__class_Oone: $i > $i ).
thf(c_Groups_Oplus__class_Oplus_type,type,
c_Groups_Oplus__class_Oplus: $i > $i > $i > $i ).
thf(class_Groups_Oordered__ab__group__add__abs_type,type,
class_Groups_Oordered__ab__group__add__abs: $i > $o ).
thf(c_Orderings_Oord__class_Oless_type,type,
c_Orderings_Oord__class_Oless: $i > $i > $i > $o ).
thf(v_m_____type,type,
v_m____: $i ).
thf(c_Groups_Otimes__class_Otimes_type,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
thf(class_Groups_Oordered__comm__monoid__add_type,type,
class_Groups_Oordered__comm__monoid__add: $i > $o ).
thf(v_c_____type,type,
v_c____: $i ).
thf(class_Rings_Ocomm__semiring__1_type,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
thf(tc_Complex_Ocomplex_type,type,
tc_Complex_Ocomplex: $i ).
thf(c_Orderings_Oord__class_Oless__eq_type,type,
c_Orderings_Oord__class_Oless__eq: $i > $i > $i > $o ).
thf(c_Groups_Oabs__class_Oabs_type,type,
c_Groups_Oabs__class_Oabs: $i > $i > $i ).
thf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [V_c: $i,V_a: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__1 @ T_a )
=> ( ( c_Groups_Oplus__class_Oplus @ T_a @ V_a @ V_c )
= ( c_Groups_Oplus__class_Oplus @ T_a @ V_c @ V_a ) ) ) ).
thf(zip_derived_cl340,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( c_Groups_Oplus__class_Oplus @ X0 @ X2 @ X1 )
= ( c_Groups_Oplus__class_Oplus @ X0 @ X1 @ X2 ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).
thf(conj_0,conjecture,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_c____ ) ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_r ) @ v_m____ ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_c____ ) ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_r ) @ v_m____ ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl1736,plain,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_c____ ) ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_r ) @ v_m____ ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12514,plain,
( ~ ( class_Rings_Ocomm__semiring__1 @ tc_RealDef_Oreal )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_r ) @ v_m____ ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_c____ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl340,zip_derived_cl1736]) ).
thf(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1 @ tc_RealDef_Oreal ).
thf(zip_derived_cl1609,plain,
class_Rings_Ocomm__semiring__1 @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Rings_Ocomm__semiring__1]) ).
thf(zip_derived_cl12720,plain,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_r ) @ v_m____ ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_c____ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12514,zip_derived_cl1609]) ).
thf(fact_add__strict__increasing2,axiom,
! [V_c: $i,V_b: $i,V_a: $i,T_a: $i] :
( ( class_Groups_Oordered__comm__monoid__add @ T_a )
=> ( ( c_Orderings_Oord__class_Oless__eq @ T_a @ ( c_Groups_Ozero__class_Ozero @ T_a ) @ V_a )
=> ( ( c_Orderings_Oord__class_Oless @ T_a @ V_b @ V_c )
=> ( c_Orderings_Oord__class_Oless @ T_a @ V_b @ ( c_Groups_Oplus__class_Oplus @ T_a @ V_a @ V_c ) ) ) ) ) ).
thf(zip_derived_cl186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( c_Orderings_Oord__class_Oless__eq @ X0 @ ( c_Groups_Ozero__class_Ozero @ X0 ) @ X1 )
| ( c_Orderings_Oord__class_Oless @ X0 @ X2 @ ( c_Groups_Oplus__class_Oplus @ X0 @ X1 @ X3 ) )
| ~ ( c_Orderings_Oord__class_Oless @ X0 @ X2 @ X3 )
| ~ ( class_Groups_Oordered__comm__monoid__add @ X0 ) ),
inference(cnf,[status(esa)],[fact_add__strict__increasing2]) ).
thf(zip_derived_cl89686,plain,
( ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_r ) @ v_m____ ) ) )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_c____ ) ) )
| ~ ( class_Groups_Oordered__comm__monoid__add @ tc_RealDef_Oreal ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12720,zip_derived_cl186]) ).
thf(fact__0960_A_060_061_Aabs_A_Ir_A_K_Am_J_096,axiom,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_r ) @ v_m____ ) ) ).
thf(zip_derived_cl2,plain,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_r ) @ v_m____ ) ),
inference(cnf,[status(esa)],[fact__0960_A_060_061_Aabs_A_Ir_A_K_Am_J_096]) ).
thf(fact__0960_A_060_061_Acmod_Ac_096,axiom,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_c____ ) ).
thf(zip_derived_cl1,plain,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_c____ ),
inference(cnf,[status(esa)],[fact__0960_A_060_061_Acmod_Ac_096]) ).
thf(fact_abs__of__nonneg,axiom,
! [V_a: $i,T_a: $i] :
( ( class_Groups_Oordered__ab__group__add__abs @ T_a )
=> ( ( c_Orderings_Oord__class_Oless__eq @ T_a @ ( c_Groups_Ozero__class_Ozero @ T_a ) @ V_a )
=> ( ( c_Groups_Oabs__class_Oabs @ T_a @ V_a )
= V_a ) ) ) ).
thf(zip_derived_cl266,plain,
! [X0: $i,X1: $i] :
( ~ ( c_Orderings_Oord__class_Oless__eq @ X0 @ ( c_Groups_Ozero__class_Ozero @ X0 ) @ X1 )
| ( ( c_Groups_Oabs__class_Oabs @ X0 @ X1 )
= X1 )
| ~ ( class_Groups_Oordered__ab__group__add__abs @ X0 ) ),
inference(cnf,[status(esa)],[fact_abs__of__nonneg]) ).
thf(zip_derived_cl6669,plain,
( ( ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_c____ ) )
= ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_c____ ) )
| ~ ( class_Groups_Oordered__ab__group__add__abs @ tc_RealDef_Oreal ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl266]) ).
thf(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs,axiom,
class_Groups_Oordered__ab__group__add__abs @ tc_RealDef_Oreal ).
thf(zip_derived_cl1583,plain,
class_Groups_Oordered__ab__group__add__abs @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs]) ).
thf(zip_derived_cl6685,plain,
( ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_c____ ) )
= ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_c____ ) ),
inference(demod,[status(thm)],[zip_derived_cl6669,zip_derived_cl1583]) ).
thf(fact_abs__add__one__gt__zero,axiom,
! [V_x: $i] : ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ V_x ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] : ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_abs__add__one__gt__zero]) ).
thf(zip_derived_cl6878,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_c____ ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6685,zip_derived_cl3]) ).
thf(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add,axiom,
class_Groups_Oordered__comm__monoid__add @ tc_RealDef_Oreal ).
thf(zip_derived_cl1585,plain,
class_Groups_Oordered__comm__monoid__add @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add]) ).
thf(zip_derived_cl89781,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl89686,zip_derived_cl2,zip_derived_cl6878,zip_derived_cl1585]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW179+1 : TPTP v9.2.0. Released v5.2.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oaH0nx0hmK true
% 0.13/0.33 % Computer : n001.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 : 300
% 0.13/0.33 % DateTime : Wed Oct 1 12:04:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % 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
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 149.73/22.01 % Solved by fo/fo13.sh.
% 149.73/22.01 % done 2287 iterations in 21.229s
% 149.73/22.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 149.73/22.01 % SZS output start Refutation
% See solution above
% 149.73/22.01
% 149.73/22.01
% 149.73/22.01 % Terminating...
% 150.62/22.10 % Runner terminated.
% 150.62/22.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------