%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP149^1 : TPTP v9.2.0. Released 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.N5jiPaPd4P true
% Computer : n020.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 04:38:59 PM UTC 2025
% Result : Theorem 42.21s 9.61s
% Output : Refutation 42.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 1 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 274 ( 23 ~; 14 |; 6 &; 227 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 18 ( 0 ^; 14 !; 4 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(set_a_type,type,
set_a: $tType ).
thf(real_type,type,
real: $tType ).
thf(minus_minus_a_type,type,
minus_minus_a: a > a > a ).
thf(inner_1173012732nner_a_type,type,
inner_1173012732nner_a: a > a > real ).
thf(x_type,type,
x: set_a ).
thf(member_a_type,type,
member_a: a > set_a > $o ).
thf(elemen49976720ball_a_type,type,
elemen49976720ball_a: a > real > set_a ).
thf(zero_zero_real_type,type,
zero_zero_real: real ).
thf(b_type,type,
b: a ).
thf(f_type,type,
f: a > a ).
thf(d_type,type,
d: real ).
thf(ord_less_real_type,type,
ord_less_real: real > real > $o ).
thf(s_type,type,
s: a ).
thf(poinca659159244_rot_a_type,type,
poinca659159244_rot_a: a > a ).
thf(x2_type,type,
x2: a ).
thf(a2_type,type,
a2: a ).
thf(ord_less_eq_real_type,type,
ord_less_eq_real: real > real > $o ).
thf(zero_zero_a_type,type,
zero_zero_a: a ).
thf(sk__31_type,type,
sk__31: real > real > a ).
thf(fact_8_d_I2_J,axiom,
! [Y: a] :
( ( member_a @ Y @ ( elemen49976720ball_a @ x2 @ d ) )
=> ( ( ord_less_real @ zero_zero_real @ ( inner_1173012732nner_a @ ( f @ Y ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) )
& ( member_a @ Y @ x )
& ( ( f @ Y )
!= zero_zero_a ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: a] :
( ( ord_less_real @ zero_zero_real @ ( inner_1173012732nner_a @ ( f @ X0 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) )
| ~ ( member_a @ X0 @ ( elemen49976720ball_a @ x2 @ d ) ) ),
inference(cnf,[status(esa)],[fact_8_d_I2_J]) ).
thf(conj_0,conjecture,
? [D3: real] :
( ? [B7: real] :
( ! [X4: a] :
( ( member_a @ X4 @ ( elemen49976720ball_a @ x2 @ D3 ) )
=> ( ord_less_eq_real @ B7 @ ( inner_1173012732nner_a @ ( f @ X4 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) ) )
& ( ord_less_real @ zero_zero_real @ B7 ) )
& ( ord_less_real @ zero_zero_real @ D3 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [D3: real] :
( ? [B7: real] :
( ! [X4: a] :
( ( member_a @ X4 @ ( elemen49976720ball_a @ x2 @ D3 ) )
=> ( ord_less_eq_real @ B7 @ ( inner_1173012732nner_a @ ( f @ X4 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) ) )
& ( ord_less_real @ zero_zero_real @ B7 ) )
& ( ord_less_real @ zero_zero_real @ D3 ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl518,plain,
! [X0: real,X1: real] :
( ~ ( ord_less_real @ zero_zero_real @ X0 )
| ( member_a @ ( sk__31 @ X0 @ X1 ) @ ( elemen49976720ball_a @ x2 @ X1 ) )
| ~ ( ord_less_real @ zero_zero_real @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_001,plain,
! [X0: a] :
( ( ord_less_real @ zero_zero_real @ ( inner_1173012732nner_a @ ( f @ X0 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) )
| ~ ( member_a @ X0 @ ( elemen49976720ball_a @ x2 @ d ) ) ),
inference(cnf,[status(esa)],[fact_8_d_I2_J]) ).
thf(fact_5__092_060open_062_092_060forall_062x_092_060in_062cball_Ax_Ad_O_Af_As_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_A_092_060le_062_Af_Ax_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_092_060close_062,axiom,
! [X2: a] :
( ( member_a @ X2 @ ( elemen49976720ball_a @ x2 @ d ) )
=> ( ord_less_eq_real @ ( inner_1173012732nner_a @ ( f @ s ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) @ ( inner_1173012732nner_a @ ( f @ X2 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: a] :
( ( ord_less_eq_real @ ( inner_1173012732nner_a @ ( f @ s ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) @ ( inner_1173012732nner_a @ ( f @ X0 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) )
| ~ ( member_a @ X0 @ ( elemen49976720ball_a @ x2 @ d ) ) ),
inference(cnf,[status(esa)],[fact_5__092_060open_062_092_060forall_062x_092_060in_062cball_Ax_Ad_O_Af_As_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_A_092_060le_062_Af_Ax_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_092_060close_062]) ).
thf(zip_derived_cl519,plain,
! [X0: real,X1: real] :
( ~ ( ord_less_real @ zero_zero_real @ X0 )
| ~ ( ord_less_eq_real @ X0 @ ( inner_1173012732nner_a @ ( f @ ( sk__31 @ X0 @ X1 ) ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) )
| ~ ( ord_less_real @ zero_zero_real @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3339,plain,
! [X0: real] :
( ~ ( member_a @ ( sk__31 @ ( inner_1173012732nner_a @ ( f @ s ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) @ X0 ) @ ( elemen49976720ball_a @ x2 @ d ) )
| ~ ( ord_less_real @ zero_zero_real @ X0 )
| ~ ( ord_less_real @ zero_zero_real @ ( inner_1173012732nner_a @ ( f @ s ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl519]) ).
thf(zip_derived_cl7546,plain,
! [X0: real] :
( ~ ( member_a @ s @ ( elemen49976720ball_a @ x2 @ d ) )
| ~ ( ord_less_real @ zero_zero_real @ X0 )
| ~ ( member_a @ ( sk__31 @ ( inner_1173012732nner_a @ ( f @ s ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) @ X0 ) @ ( elemen49976720ball_a @ x2 @ d ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl3339]) ).
thf(fact_1__092_060open_062s_A_092_060in_062_Acball_Ax_Ad_092_060close_062,axiom,
member_a @ s @ ( elemen49976720ball_a @ x2 @ d ) ).
thf(zip_derived_cl1,plain,
member_a @ s @ ( elemen49976720ball_a @ x2 @ d ),
inference(cnf,[status(esa)],[fact_1__092_060open_062s_A_092_060in_062_Acball_Ax_Ad_092_060close_062]) ).
thf(zip_derived_cl7549,plain,
! [X0: real] :
( ~ ( ord_less_real @ zero_zero_real @ X0 )
| ~ ( member_a @ ( sk__31 @ ( inner_1173012732nner_a @ ( f @ s ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) @ X0 ) @ ( elemen49976720ball_a @ x2 @ d ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7546,zip_derived_cl1]) ).
thf(zip_derived_cl10386,plain,
( ~ ( ord_less_real @ zero_zero_real @ d )
| ~ ( ord_less_real @ zero_zero_real @ ( inner_1173012732nner_a @ ( f @ s ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) )
| ~ ( ord_less_real @ zero_zero_real @ d ) ),
inference('sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl7549]) ).
thf(fact_0_d_I1_J,axiom,
ord_less_real @ zero_zero_real @ d ).
thf(zip_derived_cl0,plain,
ord_less_real @ zero_zero_real @ d,
inference(cnf,[status(esa)],[fact_0_d_I1_J]) ).
thf(zip_derived_cl0_002,plain,
ord_less_real @ zero_zero_real @ d,
inference(cnf,[status(esa)],[fact_0_d_I1_J]) ).
thf(zip_derived_cl10412,plain,
~ ( ord_less_real @ zero_zero_real @ ( inner_1173012732nner_a @ ( f @ s ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10386,zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl10546,plain,
~ ( member_a @ s @ ( elemen49976720ball_a @ x2 @ d ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl10412]) ).
thf(zip_derived_cl1_003,plain,
member_a @ s @ ( elemen49976720ball_a @ x2 @ d ),
inference(cnf,[status(esa)],[fact_1__092_060open_062s_A_092_060in_062_Acball_Ax_Ad_092_060close_062]) ).
thf(zip_derived_cl10551,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl10546,zip_derived_cl1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.31 % Problem : ITP149^1 : TPTP v9.2.0. Released v7.5.0.
% 0.11/0.32 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.N5jiPaPd4P true
% 0.14/0.55 % Computer : n020.cluster.edu
% 0.14/0.55 % Model : x86_64 x86_64
% 0.14/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.55 % Memory : 8042.1875MB
% 0.14/0.55 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.55 % CPULimit : 300
% 0.14/0.55 % WCLimit : 300
% 0.14/0.55 % DateTime : Wed Oct 1 15:29:38 EDT 2025
% 0.18/0.57 % CPUTime :
% 0.18/0.57 % Running portfolio for 300 s
% 0.18/0.57 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.58 % Number of cores: 8
% 0.18/0.60 % Python version: Python 3.6.8
% 0.18/0.60 % Running in HO mode
% 0.20/0.97 % Total configuration time : 828
% 0.20/0.97 % Estimated wc time : 1656
% 0.20/0.97 % Estimated cpu time (8 cpus) : 207.0
% 1.12/1.13 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.37/1.14 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.45/1.20 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.46/1.27 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.46/1.34 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.46/1.35 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.48/1.37 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.48/1.38 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.52/1.58 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 42.21/9.61 % Solved by lams/40_noforms.sh.
% 42.21/9.61 % done 913 iterations in 8.146s
% 42.21/9.61 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 42.21/9.61 % SZS output start Refutation
% See solution above
% 42.21/9.61
% 42.21/9.61
% 42.21/9.61 % Terminating...
% 42.74/9.76 % Runner terminated.
% 42.79/9.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------