TSTP Solution File: ITP048^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP048^1 : 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.DGBVL3WFf2 true
% Computer : n023.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 05:21:50 EDT 2023
% Result : Theorem 31.69s 4.72s
% Output : Refutation 31.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 28
% Syntax : Number of formulae : 40 ( 18 unt; 18 typ; 0 def)
% Number of atoms : 47 ( 12 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 169 ( 4 ~; 0 |; 6 &; 148 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 8 con; 0-4 aty)
% ( 7 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 30 ( 23 ^; 7 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(list_P559422087at_nat_type,type,
list_P559422087at_nat: $tType ).
thf(isShor1936442771pacity_type,type,
isShor1936442771pacity: ( product_prod_nat_nat > capacity ) > nat > list_P559422087at_nat > nat > $o ).
thf(ord_less_nat_type,type,
ord_less_nat: nat > nat > $o ).
thf(p_type,type,
p: list_P559422087at_nat ).
thf(ord_less_eq_nat_type,type,
ord_less_eq_nat: nat > nat > $o ).
thf(isSimp1359852763pacity_type,type,
isSimp1359852763pacity: ( product_prod_nat_nat > capacity ) > nat > list_P559422087at_nat > nat > $o ).
thf(p2_a_type,type,
p2_a: list_P559422087at_nat ).
thf(size_s1990949619at_nat_type,type,
size_s1990949619at_nat: list_P559422087at_nat > nat ).
thf(t_type,type,
t: nat ).
thf(capacity_type,type,
capacity: $tType ).
thf(product_prod_nat_nat_type,type,
product_prod_nat_nat: $tType ).
thf(ua_type,type,
ua: nat ).
thf(plus_plus_nat_type,type,
plus_plus_nat: nat > nat > nat ).
thf(c_type,type,
c: product_prod_nat_nat > capacity ).
thf(min_dist_capacity_type,type,
min_dist_capacity: ( product_prod_nat_nat > capacity ) > nat > nat > nat ).
thf(s_type,type,
s: nat ).
thf(p1a_type,type,
p1a: list_P559422087at_nat ).
thf(fact_2__092_060open_062min__dist_Au_At_A_092_060le_062_Alength_Ap2_H_092_060close_062,axiom,
ord_less_eq_nat @ ( min_dist_capacity @ c @ ua @ t ) @ ( size_s1990949619at_nat @ p2_a ) ).
thf(zip_derived_cl2,plain,
ord_less_eq_nat @ ( min_dist_capacity @ c @ ua @ t ) @ ( size_s1990949619at_nat @ p2_a ),
inference(cnf,[status(esa)],[fact_2__092_060open_062min__dist_Au_At_A_092_060le_062_Alength_Ap2_H_092_060close_062]) ).
thf(fact_0__092_060open_062min__dist_As_At_A_061_Amin__dist_As_Au_A_L_Amin__dist_Au_At_092_060close_062,axiom,
( ( min_dist_capacity @ c @ s @ t )
= ( plus_plus_nat @ ( min_dist_capacity @ c @ s @ ua ) @ ( min_dist_capacity @ c @ ua @ t ) ) ) ).
thf(zip_derived_cl0,plain,
( ( min_dist_capacity @ c @ s @ t )
= ( plus_plus_nat @ ( min_dist_capacity @ c @ s @ ua ) @ ( min_dist_capacity @ c @ ua @ t ) ) ),
inference(cnf,[status(esa)],[fact_0__092_060open_062min__dist_As_At_A_061_Amin__dist_As_Au_A_L_Amin__dist_Au_At_092_060close_062]) ).
thf(fact_1__092_060open_062min__dist_As_Au_A_060_Alength_Ap1_092_060close_062,axiom,
ord_less_nat @ ( min_dist_capacity @ c @ s @ ua ) @ ( size_s1990949619at_nat @ p1a ) ).
thf(zip_derived_cl1,plain,
ord_less_nat @ ( min_dist_capacity @ c @ s @ ua ) @ ( size_s1990949619at_nat @ p1a ),
inference(cnf,[status(esa)],[fact_1__092_060open_062min__dist_As_Au_A_060_Alength_Ap1_092_060close_062]) ).
thf(fact_102_add__mono__thms__linordered__field_I5_J,axiom,
! [I: nat,J: nat,K: nat,L: nat] :
( ( ( ord_less_nat @ K @ L )
& ( ord_less_nat @ I @ J ) )
=> ( ord_less_nat @ ( plus_plus_nat @ I @ K ) @ ( plus_plus_nat @ J @ L ) ) ) ).
thf(zip_derived_cl102,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( !!
@ ^ [Y3: nat] :
( ( ( ord_less_nat @ Y2 @ Y3 )
& ( ord_less_nat @ Y0 @ Y1 ) )
=> ( ord_less_nat @ ( plus_plus_nat @ Y0 @ Y2 ) @ ( plus_plus_nat @ Y1 @ Y3 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_102_add__mono__thms__linordered__field_I5_J]) ).
thf(fact_7_SP,axiom,
isShor1936442771pacity @ c @ s @ p @ t ).
thf(zip_derived_cl7,plain,
isShor1936442771pacity @ c @ s @ p @ t,
inference(cnf,[status(esa)],[fact_7_SP]) ).
thf(fact_106_add__less__mono1,axiom,
! [I: nat,J: nat,K: nat] :
( ( ord_less_nat @ I @ J )
=> ( ord_less_nat @ ( plus_plus_nat @ I @ K ) @ ( plus_plus_nat @ J @ K ) ) ) ).
thf(zip_derived_cl106,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( ( ord_less_nat @ Y0 @ Y1 )
=> ( ord_less_nat @ ( plus_plus_nat @ Y0 @ Y2 ) @ ( plus_plus_nat @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_106_add__less__mono1]) ).
thf(conj_0,conjecture,
ord_less_nat @ ( min_dist_capacity @ c @ s @ t ) @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p1a ) @ ( size_s1990949619at_nat @ p2_a ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ord_less_nat @ ( min_dist_capacity @ c @ s @ t ) @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p1a ) @ ( size_s1990949619at_nat @ p2_a ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl273,plain,
~ ( ord_less_nat @ ( min_dist_capacity @ c @ s @ t ) @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p1a ) @ ( size_s1990949619at_nat @ p2_a ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_270_dual__order_Ostrict__iff__order,axiom,
( ord_less_nat
= ( ^ [B2: nat,A2: nat] :
( ( A2 != B2 )
& ( ord_less_eq_nat @ B2 @ A2 ) ) ) ) ).
thf(zip_derived_cl270,plain,
( ord_less_nat
= ( ^ [Y0: nat,Y1: nat] :
( ( Y1 != Y0 )
& ( ord_less_eq_nat @ Y0 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[fact_270_dual__order_Ostrict__iff__order]) ).
thf(fact_75_add_Ocommute,axiom,
( plus_plus_nat
= ( ^ [A2: nat,B2: nat] : ( plus_plus_nat @ B2 @ A2 ) ) ) ).
thf(zip_derived_cl75,plain,
( plus_plus_nat
= ( ^ [Y0: nat,Y1: nat] : ( plus_plus_nat @ Y1 @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_75_add_Ocommute]) ).
thf(fact_142_Graph_OisShortestPath__alt,axiom,
( isShor1936442771pacity
= ( ^ [C2: product_prod_nat_nat > capacity,U2: nat,P: list_P559422087at_nat,V4: nat] :
( ( ( size_s1990949619at_nat @ P )
= ( min_dist_capacity @ C2 @ U2 @ V4 ) )
& ( isSimp1359852763pacity @ C2 @ U2 @ P @ V4 ) ) ) ) ).
thf(zip_derived_cl142,plain,
( isShor1936442771pacity
= ( ^ [Y0: product_prod_nat_nat > capacity,Y1: nat,Y2: list_P559422087at_nat,Y3: nat] :
( ( ( size_s1990949619at_nat @ Y2 )
= ( min_dist_capacity @ Y0 @ Y1 @ Y3 ) )
& ( isSimp1359852763pacity @ Y0 @ Y1 @ Y2 @ Y3 ) ) ) ),
inference(cnf,[status(esa)],[fact_142_Graph_OisShortestPath__alt]) ).
thf(zip_derived_cl3298,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl2,zip_derived_cl0,zip_derived_cl1,zip_derived_cl102,zip_derived_cl7,zip_derived_cl106,zip_derived_cl273,zip_derived_cl270,zip_derived_cl75,zip_derived_cl142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP048^1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DGBVL3WFf2 true
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 11:56:11 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.54/0.67 % Total configuration time : 828
% 0.54/0.67 % Estimated wc time : 1656
% 0.54/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 31.69/4.72 % Solved by lams/15_e_short1.sh.
% 31.69/4.72 % done 166 iterations in 3.899s
% 31.69/4.72 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 31.69/4.72 % SZS output start Refutation
% See solution above
% 31.69/4.72
% 31.69/4.72
% 31.69/4.73 % Terminating...
% 31.86/4.79 % Runner terminated.
% 31.86/4.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------