%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP155^1 : 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.IXGM8HBhq3 true
% Computer : n005.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 04:39:00 PM UTC 2025
% Result : Theorem 28.25s 4.23s
% Output : Refutation 28.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 2 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 134 ( 2 ~; 2 |; 0 &; 116 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 6 con; 0-3 aty)
% ( 6 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 12 ( 6 ^; 6 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_a_type,type,
set_a: $tType ).
thf(a_type,type,
a: $tType ).
thf(set_Product_prod_a_a_type,type,
set_Product_prod_a_a: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(finite_card_a_type,type,
finite_card_a: set_a > nat ).
thf(x_type,type,
x: a ).
thf(member_a_type,type,
member_a: a > set_a > $o ).
thf(prefer1676310729than_a_type,type,
prefer1676310729than_a: a > set_a > set_Product_prod_a_a > set_a ).
thf(relation_type,type,
relation: set_Product_prod_a_a ).
thf(y_type,type,
y: a ).
thf(finite_finite_a_type,type,
finite_finite_a: set_a > $o ).
thf(carrier_type,type,
carrier: set_a ).
thf(ord_less_eq_nat_type,type,
ord_less_eq_nat: nat > nat > $o ).
thf(ord_less_eq_set_a_type,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(fact_237_dual__order_Orefl,axiom,
! [A: set_a] : ( ord_less_eq_set_a @ A @ A ) ).
thf(zip_derived_cl237,plain,
( !!
@ ^ [Y0: set_a] : ( ord_less_eq_set_a @ Y0 @ Y0 ) ),
inference(cnf,[status(esa)],[fact_237_dual__order_Orefl]) ).
thf(fact_1_assms_I1_J,axiom,
member_a @ x @ carrier ).
thf(zip_derived_cl1,plain,
member_a @ x @ carrier,
inference(cnf,[status(esa)],[fact_1_assms_I1_J]) ).
thf(fact_15_fnt__carrier__fnt__nbt,axiom,
! [X2: a] :
( ( member_a @ X2 @ carrier )
=> ( finite_finite_a @ ( prefer1676310729than_a @ X2 @ carrier @ relation ) ) ) ).
thf(zip_derived_cl15,plain,
( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ carrier )
=> ( finite_finite_a @ ( prefer1676310729than_a @ Y0 @ carrier @ relation ) ) ) ),
inference(cnf,[status(esa)],[fact_15_fnt__carrier__fnt__nbt]) ).
thf(conj_0,conjecture,
ord_less_eq_set_a @ ( prefer1676310729than_a @ x @ carrier @ relation ) @ ( prefer1676310729than_a @ y @ carrier @ relation ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ord_less_eq_set_a @ ( prefer1676310729than_a @ x @ carrier @ relation ) @ ( prefer1676310729than_a @ y @ carrier @ relation ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl354,plain,
~ ( ord_less_eq_set_a @ ( prefer1676310729than_a @ x @ carrier @ relation ) @ ( prefer1676310729than_a @ y @ carrier @ relation ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_4_nbt__nest,axiom,
! [Y: a,X: a] :
( ( ord_less_eq_set_a @ ( prefer1676310729than_a @ Y @ carrier @ relation ) @ ( prefer1676310729than_a @ X @ carrier @ relation ) )
| ( ord_less_eq_set_a @ ( prefer1676310729than_a @ X @ carrier @ relation ) @ ( prefer1676310729than_a @ Y @ carrier @ relation ) ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ord_less_eq_set_a @ ( prefer1676310729than_a @ Y0 @ carrier @ relation ) @ ( prefer1676310729than_a @ Y1 @ carrier @ relation ) )
| ( ord_less_eq_set_a @ ( prefer1676310729than_a @ Y1 @ carrier @ relation ) @ ( prefer1676310729than_a @ Y0 @ carrier @ relation ) ) ) ) ),
inference(cnf,[status(esa)],[fact_4_nbt__nest]) ).
thf(fact_3__092_060open_062card_A_Ino__better__than_Ax_Acarrier_Arelation_J_A_092_060le_062_Acard_A_Ino__better__than_Ay_Acarrier_Arelation_J_092_060close_062,axiom,
ord_less_eq_nat @ ( finite_card_a @ ( prefer1676310729than_a @ x @ carrier @ relation ) ) @ ( finite_card_a @ ( prefer1676310729than_a @ y @ carrier @ relation ) ) ).
thf(zip_derived_cl3,plain,
ord_less_eq_nat @ ( finite_card_a @ ( prefer1676310729than_a @ x @ carrier @ relation ) ) @ ( finite_card_a @ ( prefer1676310729than_a @ y @ carrier @ relation ) ),
inference(cnf,[status(esa)],[fact_3__092_060open_062card_A_Ino__better__than_Ax_Acarrier_Arelation_J_A_092_060le_062_Acard_A_Ino__better__than_Ay_Acarrier_Arelation_J_092_060close_062]) ).
thf(fact_211_card__seteq,axiom,
! [B2: set_a,A2: set_a] :
( ( finite_finite_a @ B2 )
=> ( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( ord_less_eq_nat @ ( finite_card_a @ B2 ) @ ( finite_card_a @ A2 ) )
=> ( A2 = B2 ) ) ) ) ).
thf(zip_derived_cl211,plain,
( !!
@ ^ [Y0: set_a] :
( !!
@ ^ [Y1: set_a] :
( ( finite_finite_a @ Y0 )
=> ( ( ord_less_eq_set_a @ Y1 @ Y0 )
=> ( ( ord_less_eq_nat @ ( finite_card_a @ Y0 ) @ ( finite_card_a @ Y1 ) )
=> ( Y1 = Y0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_211_card__seteq]) ).
thf(zip_derived_cl5415,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl237,zip_derived_cl1,zip_derived_cl15,zip_derived_cl354,zip_derived_cl4,zip_derived_cl3,zip_derived_cl211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP155^1 : TPTP v9.2.0. Released v7.5.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IXGM8HBhq3 true
% 0.13/0.34 % Computer : n005.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 15:29:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.56/0.67 % Total configuration time : 828
% 0.56/0.67 % Estimated wc time : 1656
% 0.56/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.82 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 28.25/4.23 % Solved by lams/15_e_short1.sh.
% 28.25/4.23 % done 397 iterations in 3.452s
% 28.25/4.23 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 28.25/4.23 % SZS output start Refutation
% See solution above
% 28.25/4.23
% 28.25/4.23
% 28.25/4.23 % Terminating...
% 28.97/4.29 % Runner terminated.
% 28.97/4.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------