TSTP Solution File: SWW229+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW229+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YLhgyDKuFk true
% Computer : n018.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 : Fri Sep 1 01:41:15 EDT 2023
% Result : Theorem 54.95s 8.47s
% Output : Refutation 54.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 26
% Syntax : Number of formulae : 46 ( 24 unt; 18 typ; 0 def)
% Number of atoms : 32 ( 17 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 370 ( 4 ~; 2 |; 0 &; 362 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 9 con; 0-3 aty)
% Number of variables : 43 ( 0 ^; 43 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(tc_RealDef_Oreal_type,type,
tc_RealDef_Oreal: $i ).
thf(v_z_____type,type,
v_z____: $i ).
thf(tc_Complex_Ocomplex_type,type,
tc_Complex_Ocomplex: $i ).
thf(v_p_type,type,
v_p: $i ).
thf(v_g_____type,type,
v_g____: $i > $i ).
thf(c_Polynomial_Opoly_type,type,
c_Polynomial_Opoly: $i > $i > $i ).
thf(v_N2_____type,type,
v_N2____: $i ).
thf(class_RealVector_Oreal__normed__vector_type,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
thf(hAPP_type,type,
hAPP: $i > $i > $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(c_Groups_Ominus__class_Ominus_type,type,
c_Groups_Ominus__class_Ominus: $i > $i > $i > $i ).
thf(v_N1_____type,type,
v_N1____: $i ).
thf(c_Groups_Oplus__class_Oplus_type,type,
c_Groups_Oplus__class_Oplus: $i > $i > $i > $i ).
thf(tc_Nat_Onat_type,type,
tc_Nat_Onat: $i ).
thf(c_RealVector_Onorm__class_Onorm_type,type,
c_RealVector_Onorm__class_Onorm: $i > $i > $i ).
thf(v_f_____type,type,
v_f____: $i ).
thf(c_Groups_Ouminus__class_Ouminus_type,type,
c_Groups_Ouminus__class_Ouminus: $i > $i > $i ).
thf(conj_0,conjecture,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( v_g____ @ ( hAPP @ v_f____ @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( v_g____ @ ( hAPP @ v_f____ @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( v_g____ @ ( hAPP @ v_f____ @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( v_g____ @ ( hAPP @ v_f____ @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl839,plain,
~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( v_g____ @ ( hAPP @ v_f____ @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( v_g____ @ ( hAPP @ v_f____ @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_minus__real__def,axiom,
! [V_y: $i,V_x: $i] :
( ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ V_x @ V_y )
= ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ V_x @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ V_y ) ) ) ).
thf(zip_derived_cl91,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ X0 @ X1 )
= ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ X0 @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_minus__real__def]) ).
thf(fact_abs__minus__add__cancel,axiom,
! [V_y: $i,V_x: $i] :
( ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ V_x @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ V_y ) ) )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ V_y @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ V_x ) ) ) ) ).
thf(zip_derived_cl93,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ X1 @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ X0 ) ) )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ X0 @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ X1 ) ) ) ),
inference(cnf,[status(esa)],[fact_abs__minus__add__cancel]) ).
thf(fact_real__norm__def,axiom,
! [V_r: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ V_r )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ V_r ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ X0 )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ X0 ) ),
inference(cnf,[status(esa)],[fact_real__norm__def]) ).
thf(fact_complex__diff__def,axiom,
! [V_y: $i,V_x: $i] :
( ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ V_x @ V_y )
= ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ V_x @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ V_y ) ) ) ).
thf(zip_derived_cl244,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ X0 @ X1 )
= ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X0 @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_complex__diff__def]) ).
thf(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex ).
thf(zip_derived_cl829,plain,
class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
thf(fact_norm__minus__commute,axiom,
! [V_b: $i,V_a: $i,T_a: $i] :
( ( class_RealVector_Oreal__normed__vector @ T_a )
=> ( ( c_RealVector_Onorm__class_Onorm @ T_a @ ( c_Groups_Ominus__class_Ominus @ T_a @ V_a @ V_b ) )
= ( c_RealVector_Onorm__class_Onorm @ T_a @ ( c_Groups_Ominus__class_Ominus @ T_a @ V_b @ V_a ) ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( c_RealVector_Onorm__class_Onorm @ X0 @ ( c_Groups_Ominus__class_Ominus @ X0 @ X2 @ X1 ) )
= ( c_RealVector_Onorm__class_Onorm @ X0 @ ( c_Groups_Ominus__class_Ominus @ X0 @ X1 @ X2 ) ) )
| ~ ( class_RealVector_Oreal__normed__vector @ X0 ) ),
inference(cnf,[status(esa)],[fact_norm__minus__commute]) ).
thf(zip_derived_cl2634,plain,
! [X0: $i,X1: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ X1 @ X0 ) )
= ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ X0 @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl829,zip_derived_cl22]) ).
thf(zip_derived_cl244_001,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ X0 @ X1 )
= ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X0 @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_complex__diff__def]) ).
thf(zip_derived_cl244_002,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ X0 @ X1 )
= ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X0 @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_complex__diff__def]) ).
thf(zip_derived_cl8962,plain,
! [X0: $i,X1: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X1 @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ X0 ) ) )
= ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X0 @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2634,zip_derived_cl244,zip_derived_cl244]) ).
thf(zip_derived_cl829_003,plain,
class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
thf(fact_norm__triangle__ineq3,axiom,
! [V_b: $i,V_a: $i,T_a: $i] :
( ( class_RealVector_Oreal__normed__vector @ T_a )
=> ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ T_a @ V_a ) @ ( c_RealVector_Onorm__class_Onorm @ T_a @ V_b ) ) ) @ ( c_RealVector_Onorm__class_Onorm @ T_a @ ( c_Groups_Ominus__class_Ominus @ T_a @ V_a @ V_b ) ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ X0 @ X1 ) @ ( c_RealVector_Onorm__class_Onorm @ X0 @ X2 ) ) ) @ ( c_RealVector_Onorm__class_Onorm @ X0 @ ( c_Groups_Ominus__class_Ominus @ X0 @ X1 @ X2 ) ) )
| ~ ( class_RealVector_Oreal__normed__vector @ X0 ) ),
inference(cnf,[status(esa)],[fact_norm__triangle__ineq3]) ).
thf(zip_derived_cl2628,plain,
! [X0: $i,X1: $i] : ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X1 ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X0 ) ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl829,zip_derived_cl3]) ).
thf(zip_derived_cl91_004,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ X0 @ X1 )
= ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ X0 @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_minus__real__def]) ).
thf(zip_derived_cl15_005,plain,
! [X0: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ X0 )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ X0 ) ),
inference(cnf,[status(esa)],[fact_real__norm__def]) ).
thf(zip_derived_cl244_006,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ X0 @ X1 )
= ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X0 @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_complex__diff__def]) ).
thf(zip_derived_cl32569,plain,
! [X0: $i,X1: $i] : ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X1 ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X0 ) ) ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X1 @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2628,zip_derived_cl91,zip_derived_cl15,zip_derived_cl244]) ).
thf(zip_derived_cl34307,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl839,zip_derived_cl91,zip_derived_cl93,zip_derived_cl15,zip_derived_cl244,zip_derived_cl8962,zip_derived_cl32569]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW229+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YLhgyDKuFk true
% 0.11/0.33 % Computer : n018.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sun Aug 27 21:37:31 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % Running portfolio for 300 s
% 0.11/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.34 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.18/0.57 % Total configuration time : 435
% 0.18/0.57 % Estimated wc time : 1092
% 0.18/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.69 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.70 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.70 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.70 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 54.95/8.47 % Solved by fo/fo3_bce.sh.
% 54.95/8.47 % BCE start: 840
% 54.95/8.47 % BCE eliminated: 33
% 54.95/8.47 % PE start: 807
% 54.95/8.47 logic: eq
% 54.95/8.47 % PE eliminated: -28
% 54.95/8.47 % done 1461 iterations in 7.749s
% 54.95/8.47 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 54.95/8.47 % SZS output start Refutation
% See solution above
% 54.95/8.47
% 54.95/8.47
% 54.95/8.47 % Terminating...
% 56.27/8.80 % Runner terminated.
% 56.27/8.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------