%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP044^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4qaMcrTb6X 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 04:38:39 PM UTC 2025
% Result : Theorem 4.99s 1.34s
% Output : Refutation 4.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 37 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 123 ( 5 ~; 2 |; 0 &; 106 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 4 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 6 con; 0-2 aty)
% ( 5 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 29 ( 8 ^; 21 !; 0 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
thf(list_a_type,type,
list_a: $tType ).
thf(poly_a_type,type,
poly_a: $tType ).
thf(a_type,type,
a: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(v_type,type,
v: poly_a > nat ).
thf(g_type,type,
g: poly_a ).
thf(nil_a_type,type,
nil_a: list_a ).
thf(descar2095969287nges_a_type,type,
descar2095969287nges_a: list_a > nat ).
thf(append_a_type,type,
append_a: list_a > list_a > list_a ).
thf(ys_type,type,
ys: list_a ).
thf(zero_zero_a_type,type,
zero_zero_a: a ).
thf(poly_a2_type,type,
poly_a2: list_a > poly_a ).
thf(cons_a_type,type,
cons_a: a > list_a > list_a ).
thf(coeffs_a_type,type,
coeffs_a: poly_a > list_a ).
thf(fact_7_ys__def,axiom,
( ys
= ( append_a @ ( coeffs_a @ g ) @ ( cons_a @ zero_zero_a @ nil_a ) ) ) ).
thf(zip_derived_cl7,plain,
( ys
= ( append_a @ ( coeffs_a @ g ) @ ( cons_a @ zero_zero_a @ nil_a ) ) ),
inference(cnf,[status(esa)],[fact_7_ys__def]) ).
thf(fact_66_Poly__snoc__zero,axiom,
! [As: list_a] :
( ( poly_a2 @ ( append_a @ As @ ( cons_a @ zero_zero_a @ nil_a ) ) )
= ( poly_a2 @ As ) ) ).
thf(zip_derived_cl66,plain,
( !!
@ ^ [Y0: list_a] :
( ( poly_a2 @ ( append_a @ Y0 @ ( cons_a @ zero_zero_a @ nil_a ) ) )
= ( poly_a2 @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_66_Poly__snoc__zero]) ).
thf(zip_derived_cl2148,plain,
! [X2: list_a] :
( ( poly_a2 @ ( append_a @ X2 @ ( cons_a @ zero_zero_a @ nil_a ) ) )
= ( poly_a2 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl2149,plain,
! [X2: list_a] :
( ( poly_a2 @ ( append_a @ X2 @ ( cons_a @ zero_zero_a @ nil_a ) ) )
= ( poly_a2 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2148]) ).
thf(zip_derived_cl2151,plain,
( ( poly_a2 @ ys )
= ( poly_a2 @ ( coeffs_a @ g ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl2149]) ).
thf(fact_13_Poly__coeffs,axiom,
! [P2: poly_a] :
( ( poly_a2 @ ( coeffs_a @ P2 ) )
= P2 ) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: poly_a] :
( ( poly_a2 @ ( coeffs_a @ Y0 ) )
= Y0 ) ),
inference(cnf,[status(esa)],[fact_13_Poly__coeffs]) ).
thf(zip_derived_cl507,plain,
! [X2: poly_a] :
( ( poly_a2 @ ( coeffs_a @ X2 ) )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl508,plain,
! [X2: poly_a] :
( ( poly_a2 @ ( coeffs_a @ X2 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl507]) ).
thf(zip_derived_cl2156,plain,
( ( poly_a2 @ ys )
= g ),
inference(demod,[status(thm)],[zip_derived_cl2151,zip_derived_cl508]) ).
thf(fact_6_sign__changes__coeff__sign__changes,axiom,
! [Xs: list_a,P2: poly_a] :
( ( ( poly_a2 @ Xs )
= P2 )
=> ( ( descar2095969287nges_a @ Xs )
= ( descar2095969287nges_a @ ( coeffs_a @ P2 ) ) ) ) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: list_a] :
( !!
@ ^ [Y1: poly_a] :
( ( ( poly_a2 @ Y0 )
= Y1 )
=> ( ( descar2095969287nges_a @ Y0 )
= ( descar2095969287nges_a @ ( coeffs_a @ Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_6_sign__changes__coeff__sign__changes]) ).
thf(zip_derived_cl446,plain,
! [X2: list_a] :
( !!
@ ^ [Y0: poly_a] :
( ( ( poly_a2 @ X2 )
= Y0 )
=> ( ( descar2095969287nges_a @ X2 )
= ( descar2095969287nges_a @ ( coeffs_a @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl447,plain,
! [X2: list_a,X4: poly_a] :
( ( ( poly_a2 @ X2 )
= X4 )
=> ( ( descar2095969287nges_a @ X2 )
= ( descar2095969287nges_a @ ( coeffs_a @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl446]) ).
thf(fact_0_v__def,axiom,
( v
= ( ^ [F: poly_a] : ( descar2095969287nges_a @ ( coeffs_a @ F ) ) ) ) ).
thf(zip_derived_cl0,plain,
( v
= ( ^ [Y0: poly_a] : ( descar2095969287nges_a @ ( coeffs_a @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_0_v__def]) ).
thf(zip_derived_cl347,plain,
! [X1: poly_a] :
( ( v @ X1 )
= ( ^ [Y0: poly_a] : ( descar2095969287nges_a @ ( coeffs_a @ Y0 ) )
@ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl348,plain,
! [X1: poly_a] :
( ( v @ X1 )
= ( descar2095969287nges_a @ ( coeffs_a @ X1 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl347]) ).
thf(zip_derived_cl448,plain,
! [X2: list_a,X4: poly_a] :
( ( ( poly_a2 @ X2 )
= X4 )
=> ( ( descar2095969287nges_a @ X2 )
= ( v @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl447,zip_derived_cl348]) ).
thf(zip_derived_cl449,plain,
! [X2: list_a,X4: poly_a] :
( ( ( poly_a2 @ X2 )
!= X4 )
| ( ( descar2095969287nges_a @ X2 )
= ( v @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl448]) ).
thf(zip_derived_cl450,plain,
! [X2: list_a,X4: poly_a] :
( ( ( poly_a2 @ X2 )
!= X4 )
| ( ( descar2095969287nges_a @ X2 )
= ( v @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl449]) ).
thf(zip_derived_cl451,plain,
! [X2: list_a] :
( ( descar2095969287nges_a @ X2 )
= ( v @ ( poly_a2 @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl450]) ).
thf(zip_derived_cl2162,plain,
( ( descar2095969287nges_a @ ys )
= ( v @ g ) ),
inference('sup+',[status(thm)],[zip_derived_cl2156,zip_derived_cl451]) ).
thf(conj_0,conjecture,
( ( descar2095969287nges_a @ ys )
= ( descar2095969287nges_a @ ( coeffs_a @ g ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( descar2095969287nges_a @ ys )
!= ( descar2095969287nges_a @ ( coeffs_a @ g ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl346,plain,
( ( descar2095969287nges_a @ ys )
!= ( descar2095969287nges_a @ ( coeffs_a @ g ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl348_001,plain,
! [X1: poly_a] :
( ( v @ X1 )
= ( descar2095969287nges_a @ ( coeffs_a @ X1 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl347]) ).
thf(zip_derived_cl349,plain,
( ( descar2095969287nges_a @ ys )
!= ( v @ g ) ),
inference(demod,[status(thm)],[zip_derived_cl346,zip_derived_cl348]) ).
thf(zip_derived_cl2164,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2162,zip_derived_cl349]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : ITP044^1 : TPTP v9.2.0. Released v7.5.0.
% 0.07/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4qaMcrTb6X true
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 15:26:23 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in HO mode
% 0.56/0.69 % Total configuration time : 828
% 0.56/0.69 % Estimated wc time : 1656
% 0.56/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.85 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 4.99/1.34 % Solved by lams/35_full_unif4.sh.
% 4.99/1.34 % done 416 iterations in 0.534s
% 4.99/1.34 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.99/1.34 % SZS output start Refutation
% See solution above
% 4.99/1.34
% 4.99/1.34
% 4.99/1.34 % Terminating...
% 5.69/1.41 % Runner terminated.
% 5.69/1.43 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------