%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP205^1 : 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.qIwczSmI2L true
% Computer : n002.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 04:39:10 PM UTC 2025
% Result : Theorem 28.18s 4.21s
% Output : Refutation 28.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 49 ( 8 equ; 2 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 348 ( 6 ~; 0 |; 0 &; 315 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 9 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 14 usr; 7 con; 0-3 aty)
% ( 17 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 34 ( 17 ^; 17 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_variable_type,type,
set_variable: $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(sup_sup_set_variable_type,type,
sup_sup_set_variable: set_variable > set_variable > set_variable ).
thf(uSubst532817840mposeo_type,type,
uSubst532817840mposeo: option_game > option_game > option_game ).
thf(beta_type,type,
beta: game ).
thf(ord_le282106107riable_type,type,
ord_le282106107riable: set_variable > set_variable > $o ).
thf(alpha_type,type,
alpha: game ).
thf(uSubst516392814stappp_type,type,
uSubst516392814stappp: produc1418842292n_game > set_variable > game > produc1078154247n_game ).
thf(produc1149443391n_game_type,type,
produc1149443391n_game: set_variable > option_game > produc1078154247n_game ).
thf(compose_type,type,
compose: game > game > game ).
thf(ua_type,type,
ua: set_variable ).
thf(static_BVG_type,type,
static_BVG: game > set_variable ).
thf(the_game_type,type,
the_game: option_game > game ).
thf(sigma_type,type,
sigma: produc1418842292n_game ).
thf(produc293487213n_game_type,type,
produc293487213n_game: produc1078154247n_game > option_game ).
thf(produc893821739n_game_type,type,
produc893821739n_game: produc1078154247n_game > set_variable ).
thf(fact_197_Un__least,axiom,
! [A: set_variable,C: set_variable,B: set_variable] :
( ( ord_le282106107riable @ A @ C )
=> ( ( ord_le282106107riable @ B @ C )
=> ( ord_le282106107riable @ ( sup_sup_set_variable @ A @ B ) @ C ) ) ) ).
thf(zip_derived_cl197,plain,
( !!
@ ^ [Y0: set_variable] :
( !!
@ ^ [Y1: set_variable] :
( !!
@ ^ [Y2: set_variable] :
( ( ord_le282106107riable @ Y0 @ Y1 )
=> ( ( ord_le282106107riable @ Y2 @ Y1 )
=> ( ord_le282106107riable @ ( sup_sup_set_variable @ Y0 @ Y2 ) @ Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_197_Un__least]) ).
thf(fact_1_fact,axiom,
ord_le282106107riable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) @ ( sup_sup_set_variable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) ).
thf(zip_derived_cl1,plain,
ord_le282106107riable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) @ ( sup_sup_set_variable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ),
inference(cnf,[status(esa)],[fact_1_fact]) ).
thf(conj_0,conjecture,
ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl354,plain,
~ ( ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_272_snd__pair,axiom,
! [A2: set_variable,B2: option_game] :
( ( produc293487213n_game @ ( produc1149443391n_game @ A2 @ B2 ) )
= B2 ) ).
thf(zip_derived_cl272,plain,
( !!
@ ^ [Y0: set_variable] :
( !!
@ ^ [Y1: option_game] :
( ( produc293487213n_game @ ( produc1149443391n_game @ Y0 @ Y1 ) )
= Y1 ) ) ),
inference(cnf,[status(esa)],[fact_272_snd__pair]) ).
thf(fact_311_usubstappp_Osimps_I5_J,axiom,
! [Sigma: produc1418842292n_game,U: set_variable,Alpha: game,Beta: game] :
( ( uSubst516392814stappp @ Sigma @ U @ ( compose @ Alpha @ Beta ) )
= ( produc1149443391n_game @ ( produc893821739n_game @ ( uSubst516392814stappp @ Sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ Sigma @ U @ Alpha ) ) @ Beta ) ) @ ( uSubst532817840mposeo @ ( produc293487213n_game @ ( uSubst516392814stappp @ Sigma @ U @ Alpha ) ) @ ( produc293487213n_game @ ( uSubst516392814stappp @ Sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ Sigma @ U @ Alpha ) ) @ Beta ) ) ) ) ) ).
thf(zip_derived_cl311,plain,
( !!
@ ^ [Y0: produc1418842292n_game] :
( !!
@ ^ [Y1: set_variable] :
( !!
@ ^ [Y2: game] :
( !!
@ ^ [Y3: game] :
( ( uSubst516392814stappp @ Y0 @ Y1 @ ( compose @ Y2 @ Y3 ) )
= ( produc1149443391n_game @ ( produc893821739n_game @ ( uSubst516392814stappp @ Y0 @ ( produc893821739n_game @ ( uSubst516392814stappp @ Y0 @ Y1 @ Y2 ) ) @ Y3 ) ) @ ( uSubst532817840mposeo @ ( produc293487213n_game @ ( uSubst516392814stappp @ Y0 @ Y1 @ Y2 ) ) @ ( produc293487213n_game @ ( uSubst516392814stappp @ Y0 @ ( produc893821739n_game @ ( uSubst516392814stappp @ Y0 @ Y1 @ Y2 ) ) @ Y3 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_311_usubstappp_Osimps_I5_J]) ).
thf(fact_0__092_060open_062U_A_092_060union_062_ABVG_A_Ithe_A_Isnd_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_J_A_092_060union_062_ABVG_A_Ithe_A_Isnd_A_Iusubstappp_A_092_060sigma_062_A_Ifst_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_A_092_060beta_062_J_J_J_A_092_060subseteq_062_Afst_A_Iusubstappp_A_092_060sigma_062_A_Ifst_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_A_092_060beta_062_J_092_060close_062,axiom,
ord_le282106107riable @ ( sup_sup_set_variable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ).
thf(zip_derived_cl0,plain,
ord_le282106107riable @ ( sup_sup_set_variable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ),
inference(cnf,[status(esa)],[fact_0__092_060open_062U_A_092_060union_062_ABVG_A_Ithe_A_Isnd_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_J_A_092_060union_062_ABVG_A_Ithe_A_Isnd_A_Iusubstappp_A_092_060sigma_062_A_Ifst_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_A_092_060beta_062_J_J_J_A_092_060subseteq_062_Afst_A_Iusubstappp_A_092_060sigma_062_A_Ifst_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_A_092_060beta_062_J_092_060close_062]) ).
thf(fact_178_sup_OorderE,axiom,
! [B2: set_variable,A2: set_variable] :
( ( ord_le282106107riable @ B2 @ A2 )
=> ( A2
= ( sup_sup_set_variable @ A2 @ B2 ) ) ) ).
thf(zip_derived_cl178,plain,
( !!
@ ^ [Y0: set_variable] :
( !!
@ ^ [Y1: set_variable] :
( ( ord_le282106107riable @ Y0 @ Y1 )
=> ( Y1
= ( sup_sup_set_variable @ Y1 @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_178_sup_OorderE]) ).
thf(fact_156_Un__assoc,axiom,
! [A: set_variable,B: set_variable,C: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ A @ B ) @ C )
= ( sup_sup_set_variable @ A @ ( sup_sup_set_variable @ B @ C ) ) ) ).
thf(zip_derived_cl156,plain,
( !!
@ ^ [Y0: set_variable] :
( !!
@ ^ [Y1: set_variable] :
( !!
@ ^ [Y2: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ Y0 @ Y1 ) @ Y2 )
= ( sup_sup_set_variable @ Y0 @ ( sup_sup_set_variable @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_156_Un__assoc]) ).
thf(fact_188_le__supE,axiom,
! [A2: set_variable,B2: set_variable,X: set_variable] :
( ( ord_le282106107riable @ ( sup_sup_set_variable @ A2 @ B2 ) @ X )
=> ~ ( ( ord_le282106107riable @ A2 @ X )
=> ~ ( ord_le282106107riable @ B2 @ X ) ) ) ).
thf(zip_derived_cl188,plain,
( !!
@ ^ [Y0: set_variable] :
( !!
@ ^ [Y1: set_variable] :
( !!
@ ^ [Y2: set_variable] :
( ( ord_le282106107riable @ ( sup_sup_set_variable @ Y0 @ Y1 ) @ Y2 )
=> ( (~)
@ ( ( ord_le282106107riable @ Y0 @ Y2 )
=> ( (~) @ ( ord_le282106107riable @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_188_le__supE]) ).
thf(zip_derived_cl2292,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl197,zip_derived_cl1,zip_derived_cl354,zip_derived_cl272,zip_derived_cl311,zip_derived_cl0,zip_derived_cl178,zip_derived_cl156,zip_derived_cl188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ITP205^1 : TPTP v9.2.0. Released v7.5.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qIwczSmI2L true
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 15:35:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.57/0.68 % Total configuration time : 828
% 0.57/0.68 % Estimated wc time : 1656
% 0.57/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.83 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 28.18/4.21 % Solved by lams/15_e_short1.sh.
% 28.18/4.21 % done 134 iterations in 3.415s
% 28.18/4.21 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 28.18/4.21 % SZS output start Refutation
% See solution above
% 28.18/4.21
% 28.18/4.21
% 28.18/4.21 % Terminating...
% 29.02/4.32 % Runner terminated.
% 29.02/4.32 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------