TSTP Solution File: ITP155^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP155^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.m2u888gIQ7 true
% Computer : n013.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 Aug 31 05:22:32 EDT 2023
% Result : Theorem 27.09s 4.26s
% Output : Refutation 27.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 24
% Syntax : Number of formulae : 35 ( 13 unt; 15 typ; 0 def)
% Number of atoms : 42 ( 2 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 154 ( 2 ~; 2 |; 0 &; 130 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 6 con; 0-3 aty)
% ( 8 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 16 ( 8 ^; 8 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_a_type,type,
set_a: $tType ).
thf(set_Product_prod_a_a_type,type,
set_Product_prod_a_a: $tType ).
thf(a_type,type,
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(prefer719835986ence_a_type,type,
prefer719835986ence_a: set_a > set_Product_prod_a_a > $o ).
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_7__092_060open_062finite_Acarrier_092_060close_062,axiom,
finite_finite_a @ carrier ).
thf(zip_derived_cl7,plain,
finite_finite_a @ carrier,
inference(cnf,[status(esa)],[fact_7__092_060open_062finite_Acarrier_092_060close_062]) ).
thf(fact_6_rational__preference__axioms,axiom,
prefer719835986ence_a @ carrier @ relation ).
thf(zip_derived_cl6,plain,
prefer719835986ence_a @ carrier @ relation,
inference(cnf,[status(esa)],[fact_6_rational__preference__axioms]) ).
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_76_rational__preference_Ofnt__carrier__fnt__nbt,axiom,
! [Carrier: set_a,Relation: set_Product_prod_a_a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ( ( finite_finite_a @ Carrier )
=> ! [X2: a] :
( ( member_a @ X2 @ Carrier )
=> ( finite_finite_a @ ( prefer1676310729than_a @ X2 @ Carrier @ Relation ) ) ) ) ) ).
thf(zip_derived_cl76,plain,
( !!
@ ^ [Y0: set_a] :
( !!
@ ^ [Y1: set_Product_prod_a_a] :
( ( prefer719835986ence_a @ Y0 @ Y1 )
=> ( ( finite_finite_a @ Y0 )
=> ( !!
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y0 )
=> ( finite_finite_a @ ( prefer1676310729than_a @ Y2 @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_76_rational__preference_Ofnt__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_cl4727,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl237,zip_derived_cl7,zip_derived_cl6,zip_derived_cl1,zip_derived_cl76,zip_derived_cl354,zip_derived_cl4,zip_derived_cl3,zip_derived_cl211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : ITP155^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.m2u888gIQ7 true
% 0.16/0.36 % Computer : n013.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sun Aug 27 16:34:47 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Running portfolio for 300 s
% 0.16/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.37 % Running in HO mode
% 0.23/0.68 % Total configuration time : 828
% 0.23/0.68 % Estimated wc time : 1656
% 0.23/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.79 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.80 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.23/0.80 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.23/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.85 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.23/0.85 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 27.09/4.26 % Solved by lams/15_e_short1.sh.
% 27.09/4.26 % done 340 iterations in 3.422s
% 27.09/4.26 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 27.09/4.26 % SZS output start Refutation
% See solution above
% 27.09/4.26
% 27.09/4.26
% 27.09/4.26 % Terminating...
% 27.78/4.37 % Runner terminated.
% 27.78/4.38 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------