%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP201^1 : 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.PfpkvfQSaL true
% Computer : n015.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 04:39:09 PM UTC 2025
% Result : Theorem 6.12s 1.94s
% Output : Refutation 6.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 83 ( 11 equ; 6 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 442 ( 21 ~; 8 |; 0 &; 398 @)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 10 ( 9 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 14 usr; 8 con; 0-3 aty)
% ( 7 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 31 ( 7 ^; 24 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_variable_real_type,type,
set_variable_real: $tType ).
thf(denotational_interp_type,type,
denotational_interp: $tType ).
thf(game_type,type,
game: $tType ).
thf(option_game_type,type,
option_game: $tType ).
thf(produc1078154247n_game_type,type,
produc1078154247n_game: $tType ).
thf(produc1418842292n_game_type,type,
produc1418842292n_game: $tType ).
thf(set_variable_type,type,
set_variable: $tType ).
thf(omega2_type,type,
omega2: variable > real ).
thf(denota1245701238me_sem_type,type,
denota1245701238me_sem: denotational_interp > game > set_variable_real > set_variable_real ).
thf(member_variable_real_type,type,
member_variable_real: ( variable > real ) > set_variable_real > $o ).
thf(nu2_type,type,
nu2: variable > real ).
thf(uSubst1599435252djoint_type,type,
uSubst1599435252djoint: produc1418842292n_game > denotational_interp > ( variable > real ) > denotational_interp ).
thf(produc293487213n_game_type,type,
produc293487213n_game: produc1078154247n_game > option_game ).
thf(alpha_type,type,
alpha: game ).
thf(uSubst516392814stappp_type,type,
uSubst516392814stappp: produc1418842292n_game > set_variable > game > produc1078154247n_game ).
thf(i_type,type,
i: denotational_interp ).
thf(xa_type,type,
xa: set_variable_real ).
thf(sigma_type,type,
sigma: produc1418842292n_game ).
thf(ua_type,type,
ua: set_variable ).
thf(uminus430703407e_real_type,type,
uminus430703407e_real: set_variable_real > set_variable_real ).
thf(variable_type,type,
variable: $tType ).
thf(real_type,type,
real: $tType ).
thf(the_game_type,type,
the_game: option_game > game ).
thf(fact_13_Compl__iff,axiom,
! [C: variable > real,A: set_variable_real] :
( ( member_variable_real @ C @ ( uminus430703407e_real @ A ) )
<=> ~ ( member_variable_real @ C @ A ) ) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: variable > real] :
( !!
@ ^ [Y1: set_variable_real] :
( ( member_variable_real @ Y0 @ ( uminus430703407e_real @ Y1 ) )
<=> ( (~) @ ( member_variable_real @ Y0 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_13_Compl__iff]) ).
thf(zip_derived_cl1017,plain,
! [X2: variable > real] :
( !!
@ ^ [Y0: set_variable_real] :
( ( member_variable_real @ X2 @ ( uminus430703407e_real @ Y0 ) )
<=> ( (~) @ ( member_variable_real @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl1018,plain,
! [X2: variable > real,X4: set_variable_real] :
( ( member_variable_real @ X2 @ ( uminus430703407e_real @ X4 ) )
<=> ( (~) @ ( member_variable_real @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1017]) ).
thf(zip_derived_cl1019,plain,
! [X2: variable > real,X4: set_variable_real] :
( ( member_variable_real @ X2 @ ( uminus430703407e_real @ X4 ) )
!= ( member_variable_real @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1018]) ).
thf(zip_derived_cl1029,plain,
! [X2: variable > real,X4: set_variable_real] :
( ~ ( member_variable_real @ X2 @ ( uminus430703407e_real @ X4 ) )
| ~ ( member_variable_real @ X2 @ X4 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl1019]) ).
thf(conj_0,conjecture,
( ( member_variable_real @ nu2 @ ( uminus430703407e_real @ ( denota1245701238me_sem @ i @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) @ ( uminus430703407e_real @ xa ) ) ) )
= ( member_variable_real @ nu2 @ ( uminus430703407e_real @ ( denota1245701238me_sem @ ( uSubst1599435252djoint @ sigma @ i @ omega2 ) @ alpha @ ( uminus430703407e_real @ xa ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( member_variable_real @ nu2 @ ( uminus430703407e_real @ ( denota1245701238me_sem @ i @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) @ ( uminus430703407e_real @ xa ) ) ) )
!= ( member_variable_real @ nu2 @ ( uminus430703407e_real @ ( denota1245701238me_sem @ ( uSubst1599435252djoint @ sigma @ i @ omega2 ) @ alpha @ ( uminus430703407e_real @ xa ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl354,plain,
( ( member_variable_real @ nu2 @ ( uminus430703407e_real @ ( denota1245701238me_sem @ i @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) @ ( uminus430703407e_real @ xa ) ) ) )
!= ( member_variable_real @ nu2 @ ( uminus430703407e_real @ ( denota1245701238me_sem @ ( uSubst1599435252djoint @ sigma @ i @ omega2 ) @ alpha @ ( uminus430703407e_real @ xa ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl363,plain,
( ( member_variable_real @ nu2 @ ( uminus430703407e_real @ ( denota1245701238me_sem @ i @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) @ ( uminus430703407e_real @ xa ) ) ) )
| ( member_variable_real @ nu2 @ ( uminus430703407e_real @ ( denota1245701238me_sem @ ( uSubst1599435252djoint @ sigma @ i @ omega2 ) @ alpha @ ( uminus430703407e_real @ xa ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl354]) ).
thf(zip_derived_cl1019_001,plain,
! [X2: variable > real,X4: set_variable_real] :
( ( member_variable_real @ X2 @ ( uminus430703407e_real @ X4 ) )
!= ( member_variable_real @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1018]) ).
thf(zip_derived_cl1024,plain,
( ~ ( member_variable_real @ nu2 @ ( denota1245701238me_sem @ i @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) @ ( uminus430703407e_real @ xa ) ) )
| ( member_variable_real @ nu2 @ ( uminus430703407e_real @ ( denota1245701238me_sem @ ( uSubst1599435252djoint @ sigma @ i @ omega2 ) @ alpha @ ( uminus430703407e_real @ xa ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl1019]) ).
thf(fact_0__092_060open_062_092_060And_062X_O_A_I_092_060nu_062_A_092_060in_062_Agame__sem_AI_A_Ithe_A_Isnd_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_J_AX_J_A_061_A_I_092_060nu_062_A_092_060in_062_Agame__sem_A_IUSubst__Mirabelle__vidvnmlwwz_Oadjoint_A_092_060sigma_062_AI_A_092_060omega_062_J_A_092_060alpha_062_AX_J_092_060close_062,axiom,
! [X: set_variable_real] :
( ( member_variable_real @ nu2 @ ( denota1245701238me_sem @ i @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) @ X ) )
= ( member_variable_real @ nu2 @ ( denota1245701238me_sem @ ( uSubst1599435252djoint @ sigma @ i @ omega2 ) @ alpha @ X ) ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: set_variable_real] :
( ( member_variable_real @ nu2 @ ( denota1245701238me_sem @ i @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) @ Y0 ) )
= ( member_variable_real @ nu2 @ ( denota1245701238me_sem @ ( uSubst1599435252djoint @ sigma @ i @ omega2 ) @ alpha @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_0__092_060open_062_092_060And_062X_O_A_I_092_060nu_062_A_092_060in_062_Agame__sem_AI_A_Ithe_A_Isnd_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_J_AX_J_A_061_A_I_092_060nu_062_A_092_060in_062_Agame__sem_A_IUSubst__Mirabelle__vidvnmlwwz_Oadjoint_A_092_060sigma_062_AI_A_092_060omega_062_J_A_092_060alpha_062_AX_J_092_060close_062]) ).
thf(zip_derived_cl366,plain,
! [X2: set_variable_real] :
( ( member_variable_real @ nu2 @ ( denota1245701238me_sem @ i @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) @ X2 ) )
= ( member_variable_real @ nu2 @ ( denota1245701238me_sem @ ( uSubst1599435252djoint @ sigma @ i @ omega2 ) @ alpha @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl367,plain,
! [X2: set_variable_real] :
( ( member_variable_real @ nu2 @ ( denota1245701238me_sem @ i @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) @ X2 ) )
= ( member_variable_real @ nu2 @ ( denota1245701238me_sem @ ( uSubst1599435252djoint @ sigma @ i @ omega2 ) @ alpha @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl366]) ).
thf(zip_derived_cl354_002,plain,
( ( member_variable_real @ nu2 @ ( uminus430703407e_real @ ( denota1245701238me_sem @ i @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) @ ( uminus430703407e_real @ xa ) ) ) )
!= ( member_variable_real @ nu2 @ ( uminus430703407e_real @ ( denota1245701238me_sem @ ( uSubst1599435252djoint @ sigma @ i @ omega2 ) @ alpha @ ( uminus430703407e_real @ xa ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl364,plain,
( ~ ( member_variable_real @ nu2 @ ( uminus430703407e_real @ ( denota1245701238me_sem @ i @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) @ ( uminus430703407e_real @ xa ) ) ) )
| ~ ( member_variable_real @ nu2 @ ( uminus430703407e_real @ ( denota1245701238me_sem @ ( uSubst1599435252djoint @ sigma @ i @ omega2 ) @ alpha @ ( uminus430703407e_real @ xa ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl354]) ).
thf(fact_10_ComplI,axiom,
! [C: variable > real,A: set_variable_real] :
( ~ ( member_variable_real @ C @ A )
=> ( member_variable_real @ C @ ( uminus430703407e_real @ A ) ) ) ).
thf(zip_derived_cl10,plain,
( !!
@ ^ [Y0: variable > real] :
( !!
@ ^ [Y1: set_variable_real] :
( ( (~) @ ( member_variable_real @ Y0 @ Y1 ) )
=> ( member_variable_real @ Y0 @ ( uminus430703407e_real @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_10_ComplI]) ).
thf(zip_derived_cl824,plain,
! [X2: variable > real] :
( !!
@ ^ [Y0: set_variable_real] :
( ( (~) @ ( member_variable_real @ X2 @ Y0 ) )
=> ( member_variable_real @ X2 @ ( uminus430703407e_real @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl825,plain,
! [X2: variable > real,X4: set_variable_real] :
( ( (~) @ ( member_variable_real @ X2 @ X4 ) )
=> ( member_variable_real @ X2 @ ( uminus430703407e_real @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl824]) ).
thf(zip_derived_cl826,plain,
! [X2: variable > real,X4: set_variable_real] :
( ( member_variable_real @ X2 @ X4 )
| ( member_variable_real @ X2 @ ( uminus430703407e_real @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl825]) ).
thf(zip_derived_cl843,plain,
( ~ ( member_variable_real @ nu2 @ ( uminus430703407e_real @ ( denota1245701238me_sem @ ( uSubst1599435252djoint @ sigma @ i @ omega2 ) @ alpha @ ( uminus430703407e_real @ xa ) ) ) )
| ( member_variable_real @ nu2 @ ( denota1245701238me_sem @ i @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) @ ( uminus430703407e_real @ xa ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl826]) ).
thf(zip_derived_cl367_003,plain,
! [X2: set_variable_real] :
( ( member_variable_real @ nu2 @ ( denota1245701238me_sem @ i @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) @ X2 ) )
= ( member_variable_real @ nu2 @ ( denota1245701238me_sem @ ( uSubst1599435252djoint @ sigma @ i @ omega2 ) @ alpha @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl366]) ).
thf(zip_derived_cl848,plain,
( ~ ( member_variable_real @ nu2 @ ( uminus430703407e_real @ ( denota1245701238me_sem @ ( uSubst1599435252djoint @ sigma @ i @ omega2 ) @ alpha @ ( uminus430703407e_real @ xa ) ) ) )
| ( member_variable_real @ nu2 @ ( denota1245701238me_sem @ ( uSubst1599435252djoint @ sigma @ i @ omega2 ) @ alpha @ ( uminus430703407e_real @ xa ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl843,zip_derived_cl367]) ).
thf(zip_derived_cl826_004,plain,
! [X2: variable > real,X4: set_variable_real] :
( ( member_variable_real @ X2 @ X4 )
| ( member_variable_real @ X2 @ ( uminus430703407e_real @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl825]) ).
thf(zip_derived_cl899,plain,
member_variable_real @ nu2 @ ( denota1245701238me_sem @ ( uSubst1599435252djoint @ sigma @ i @ omega2 ) @ alpha @ ( uminus430703407e_real @ xa ) ),
inference(clc,[status(thm)],[zip_derived_cl848,zip_derived_cl826]) ).
thf(zip_derived_cl1034,plain,
member_variable_real @ nu2 @ ( uminus430703407e_real @ ( denota1245701238me_sem @ ( uSubst1599435252djoint @ sigma @ i @ omega2 ) @ alpha @ ( uminus430703407e_real @ xa ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1024,zip_derived_cl367,zip_derived_cl899]) ).
thf(zip_derived_cl1105,plain,
~ ( member_variable_real @ nu2 @ ( denota1245701238me_sem @ ( uSubst1599435252djoint @ sigma @ i @ omega2 ) @ alpha @ ( uminus430703407e_real @ xa ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1029,zip_derived_cl1034]) ).
thf(zip_derived_cl899_005,plain,
member_variable_real @ nu2 @ ( denota1245701238me_sem @ ( uSubst1599435252djoint @ sigma @ i @ omega2 ) @ alpha @ ( uminus430703407e_real @ xa ) ),
inference(clc,[status(thm)],[zip_derived_cl848,zip_derived_cl826]) ).
thf(zip_derived_cl1109,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1105,zip_derived_cl899]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : ITP201^1 : TPTP v9.2.0. Released v7.5.0.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PfpkvfQSaL true
% 0.10/0.31 % Computer : n015.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 15:26:23 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in HO mode
% 0.46/0.60 % Total configuration time : 828
% 0.46/0.60 % Estimated wc time : 1656
% 0.46/0.60 % Estimated cpu time (8 cpus) : 207.0
% 0.49/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.49/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.49/0.82 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.49/0.87 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.49/0.92 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.49/0.93 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.50/0.94 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.50/0.95 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 2.60/1.16 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 6.12/1.94 % Solved by lams/35_full_unif4.sh.
% 6.12/1.94 % done 162 iterations in 1.156s
% 6.12/1.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.12/1.94 % SZS output start Refutation
% See solution above
% 6.12/1.94
% 6.12/1.94
% 6.12/1.94 % Terminating...
% 6.45/2.09 % Runner terminated.
% 6.49/2.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------