%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP036^1 : 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.ikLUCb5bn5 true
% Computer : n021.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 04:38:37 PM UTC 2025
% Result : Theorem 0.51s 0.92s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 5 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 192 ( 7 ~; 1 |; 4 &; 179 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 11 con; 0-3 aty)
% ( 0 !!; 1 ??; 0 @@+; 0 @@-)
% Number of variables : 17 ( 7 ^; 8 !; 2 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
thf(produc190496183real_c_type,type,
produc190496183real_c: $tType ).
thf(finite1398487019real_c_type,type,
finite1398487019real_c: $tType ).
thf(set_Sum_sum_c_c_type,type,
set_Sum_sum_c_c: $tType ).
thf(hp_a_b_c_type,type,
hp_a_b_c: $tType ).
thf(produc640052711real_c_type,type,
produc640052711real_c: $tType ).
thf(set_Pr754230471real_c_type,type,
set_Pr754230471real_c: $tType ).
thf(denota231621370t_unit_type,type,
denota231621370t_unit: $tType ).
thf(j_type,type,
j: denota231621370t_unit ).
thf(denota1997846518gree_c_type,type,
denota1997846518gree_c: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > $o ).
thf(produc1687028567real_c_type,type,
produc1687028567real_c: produc190496183real_c > produc190496183real_c > produc640052711real_c ).
thf(produc394644079real_c_type,type,
produc394644079real_c: finite1398487019real_c > finite1398487019real_c > produc190496183real_c ).
thf(nu_2_type,type,
nu_2: finite1398487019real_c ).
thf(sup_su1349021703um_c_c_type,type,
sup_su1349021703um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(mu2_type,type,
mu2: finite1398487019real_c ).
thf(mu3_type,type,
mu3: finite1398487019real_c ).
thf(a_type,type,
a: hp_a_b_c ).
thf(v_type,type,
v: set_Sum_sum_c_c ).
thf(denota904684656_a_b_c_type,type,
denota904684656_a_b_c: denota231621370t_unit > hp_a_b_c > set_Pr754230471real_c ).
thf(nu_22_type,type,
nu_22: finite1398487019real_c ).
thf(member346808080real_c_type,type,
member346808080real_c: produc640052711real_c > set_Pr754230471real_c > $o ).
thf(static_MBV_a_b_c_type,type,
static_MBV_a_b_c: hp_a_b_c > set_Sum_sum_c_c ).
thf(b_type,type,
b: hp_a_b_c ).
thf(choice_a_b_c_type,type,
choice_a_b_c: hp_a_b_c > hp_a_b_c > hp_a_b_c ).
thf(mu_type,type,
mu: produc190496183real_c ).
thf(fact_3_agree_H,axiom,
denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ mu @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ).
thf(zip_derived_cl3,plain,
denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ mu @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ),
inference(cnf,[status(esa)],[fact_3_agree_H]) ).
thf(fact_200_sup__commute,axiom,
( sup_su1349021703um_c_c
= ( ^ [X3: set_Sum_sum_c_c,Y5: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ Y5 @ X3 ) ) ) ).
thf(zip_derived_cl200,plain,
( sup_su1349021703um_c_c
= ( ^ [Y0: set_Sum_sum_c_c,Y1: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ Y1 @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_200_sup__commute]) ).
thf(zip_derived_cl363,plain,
! [X1: set_Sum_sum_c_c,X2: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ X1 @ X2 )
= ( ^ [Y0: set_Sum_sum_c_c,Y1: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ Y1 @ Y0 )
@ X1
@ X2 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl200]) ).
thf(zip_derived_cl365,plain,
! [X1: set_Sum_sum_c_c,X2: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ X1 @ X2 )
= ( sup_su1349021703um_c_c @ X2 @ X1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl363]) ).
thf(fact_2_prog__sem_H,axiom,
member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ mu ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) ).
thf(zip_derived_cl2,plain,
member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ mu ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ),
inference(cnf,[status(esa)],[fact_2_prog__sem_H]) ).
thf(conj_0,conjecture,
? [Mu6: produc190496183real_c] :
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ Mu6 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
& ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ Mu6 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [Mu6: produc190496183real_c] :
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ Mu6 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
& ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ Mu6 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl354,plain,
~ ( ??
@ ^ [Y0: produc190496183real_c] :
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ Y0 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
& ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ Y0 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl360,plain,
! [X2: produc190496183real_c] :
~ ( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ X2 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
& ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ X2 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl354]) ).
thf(zip_derived_cl361,plain,
! [X2: produc190496183real_c] :
( ~ ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ X2 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
| ~ ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ X2 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl360]) ).
thf(zip_derived_cl366,plain,
~ ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ mu @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl361]) ).
thf(zip_derived_cl365_001,plain,
! [X1: set_Sum_sum_c_c,X2: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ X1 @ X2 )
= ( sup_su1349021703um_c_c @ X2 @ X1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl363]) ).
thf(zip_derived_cl424,plain,
~ ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ mu @ ( sup_su1349021703um_c_c @ v @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl366,zip_derived_cl365]) ).
thf(zip_derived_cl459,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl365,zip_derived_cl424]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : ITP036^1 : TPTP v9.2.0. Released v7.5.0.
% 0.10/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ikLUCb5bn5 true
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 15:28:23 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.49/0.61 % Total configuration time : 828
% 0.49/0.61 % Estimated wc time : 1656
% 0.49/0.61 % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.51/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.51/0.92 % Solved by lams/15_e_short1.sh.
% 0.51/0.92 % done 21 iterations in 0.173s
% 0.51/0.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/0.92 % SZS output start Refutation
% See solution above
% 0.51/0.92
% 0.51/0.92
% 0.51/0.92 % Terminating...
% 1.71/1.12 % Runner terminated.
% 1.71/1.13 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------