TSTP Solution File: ITP125^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP125^1 : 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.EVrovEXmMr 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 05:22:20 EDT 2023
% Result : Theorem 88.70s 12.27s
% Output : Refutation 88.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 21
% Syntax : Number of formulae : 37 ( 8 unt; 17 typ; 0 def)
% Number of atoms : 60 ( 0 equ; 6 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 200 ( 5 ~; 3 |; 0 &; 161 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 7 con; 0-6 aty)
% ( 18 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 42 ( 6 ^; 24 !; 0 ?; 42 :)
% ( 12 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(prefix1027212443list_a_type,type,
prefix1027212443list_a: $tType ).
thf(trace_1367752404list_a_type,type,
trace_1367752404list_a: $tType ).
thf(formula_a_type,type,
formula_a: $tType ).
thf(ord_less_eq_nat_type,type,
ord_less_eq_nat: nat > nat > $o ).
thf(sigma_type,type,
sigma: trace_1367752404list_a ).
thf(ord_less_nat_type,type,
ord_less_nat: nat > nat > $o ).
thf(plen_P694648887list_a_type,type,
plen_P694648887list_a: prefix1027212443list_a > nat ).
thf(k_type,type,
k: nat ).
thf(pi_type,type,
pi: prefix1027212443list_a ).
thf(monito1457594016ress_a_type,type,
monito1457594016ress_a: trace_1367752404list_a > formula_a > nat > nat ).
thf(phi_1_type,type,
phi_1: formula_a ).
thf(s_comb_type,type,
'#S':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > ( A > B ) > A > C ) ).
thf(c_comb_type,type,
'#C':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > B > A > C ) ).
thf(b_comb_type,type,
'#B':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B ) > ( C > A ) > C > B ) ).
thf(k_comb_type,type,
'#K':
!>[A: $tType,B: $tType] : ( B > A > B ) ).
thf(i_comb_type,type,
'#I':
!>[A: $tType] : ( A > A ) ).
thf(conj_0,conjecture,
ord_less_nat @ k @ ( plen_P694648887list_a @ pi ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ord_less_nat @ k @ ( plen_P694648887list_a @ pi ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl486,plain,
~ ( ord_less_nat @ k @ ( plen_P694648887list_a @ pi ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_20_progress__le,axiom,
! [Sigma: trace_1367752404list_a,Phi: formula_a,J: nat] : ( ord_less_eq_nat @ ( monito1457594016ress_a @ Sigma @ Phi @ J ) @ J ) ).
thf(zip_derived_cl33,plain,
( !!
@ ^ [Y0: trace_1367752404list_a] :
( !!
@ ^ [Y1: formula_a] :
( !!
@ ^ [Y2: nat] : ( ord_less_eq_nat @ ( monito1457594016ress_a @ Y0 @ Y1 @ Y2 ) @ Y2 ) ) ) ),
inference(cnf,[status(esa)],[fact_20_progress__le]) ).
thf(zip_derived_cl34,plain,
!! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ ord_less_eq_nat ) ) @ monito1457594016ress_a ) ) ) @ '#I' ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl735,plain,
! [X2: trace_1367752404list_a] : ( !! @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ ord_less_eq_nat ) @ ( monito1457594016ress_a @ X2 ) ) ) @ '#I' ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl736,plain,
! [X2: trace_1367752404list_a,X4: formula_a] : ( !! @ ( '#S' @ ( '#B' @ ord_less_eq_nat @ ( monito1457594016ress_a @ X2 @ X4 ) ) @ '#I' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl735]) ).
thf(zip_derived_cl737,plain,
! [X2: trace_1367752404list_a,X4: formula_a,X6: nat] : ( ord_less_eq_nat @ ( monito1457594016ress_a @ X2 @ X4 @ X6 ) @ X6 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl736]) ).
thf(fact_0__092_060open_062k_A_060_AMonitor__Mirabelle__prbptmgypa_Oprogress_A_092_060sigma_062_A_092_060phi_0621_A_Iplen_A_092_060pi_062_J_092_060close_062,axiom,
ord_less_nat @ k @ ( monito1457594016ress_a @ sigma @ phi_1 @ ( plen_P694648887list_a @ pi ) ) ).
thf(zip_derived_cl0,plain,
ord_less_nat @ k @ ( monito1457594016ress_a @ sigma @ phi_1 @ ( plen_P694648887list_a @ pi ) ),
inference(cnf,[status(esa)],[fact_0__092_060open_062k_A_060_AMonitor__Mirabelle__prbptmgypa_Oprogress_A_092_060sigma_062_A_092_060phi_0621_A_Iplen_A_092_060pi_062_J_092_060close_062]) ).
thf(fact_176_less__le__trans,axiom,
! [X: nat,Y: nat,Z4: nat] :
( ( ord_less_nat @ X @ Y )
=> ( ( ord_less_eq_nat @ Y @ Z4 )
=> ( ord_less_nat @ X @ Z4 ) ) ) ).
thf(zip_derived_cl299,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( ( ord_less_nat @ Y0 @ Y1 )
=> ( ( ord_less_eq_nat @ Y1 @ Y2 )
=> ( ord_less_nat @ Y0 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_176_less__le__trans]) ).
thf(zip_derived_cl300,plain,
!! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ (=>) ) @ ord_less_nat ) ) ) @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ord_less_eq_nat ) ) ) @ ord_less_nat ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl299]) ).
thf(zip_derived_cl1128,plain,
! [X2: nat] : ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#B' @ ( '#B' @ (=>) @ ( ord_less_nat @ X2 ) ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ord_less_eq_nat ) ) @ ( ord_less_nat @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl300]) ).
thf(zip_derived_cl1129,plain,
! [X2: nat,X4: nat] : ( !! @ ( '#B' @ ( (=>) @ ( ord_less_nat @ X2 @ X4 ) ) @ ( '#S' @ ( '#B' @ (=>) @ ( ord_less_eq_nat @ X4 ) ) @ ( ord_less_nat @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1128]) ).
thf(zip_derived_cl1130,plain,
! [X2: nat,X4: nat,X6: nat] :
( ( ord_less_nat @ X2 @ X4 )
=> ( ( ord_less_eq_nat @ X4 @ X6 )
=> ( ord_less_nat @ X2 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1129]) ).
thf(zip_derived_cl1131,plain,
! [X2: nat,X4: nat,X6: nat] :
( ~ ( ord_less_nat @ X2 @ X4 )
| ( ( ord_less_eq_nat @ X4 @ X6 )
=> ( ord_less_nat @ X2 @ X6 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1130]) ).
thf(zip_derived_cl1132,plain,
! [X2: nat,X4: nat,X6: nat] :
( ~ ( ord_less_eq_nat @ X4 @ X6 )
| ( ord_less_nat @ X2 @ X6 )
| ~ ( ord_less_nat @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1131]) ).
thf(zip_derived_cl11346,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl486,zip_derived_cl737,zip_derived_cl0,zip_derived_cl1132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ITP125^1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EVrovEXmMr true
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 17:04:26 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.34 % Running in HO mode
% 0.52/0.57 % Total configuration time : 828
% 0.52/0.57 % Estimated wc time : 1656
% 0.52/0.57 % Estimated cpu time (8 cpus) : 207.0
% 1.01/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.01/0.67 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.01/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.01/0.68 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.01/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.01/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.01/0.68 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.01/0.69 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.32/0.73 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.32/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 88.70/12.27 % Solved by lams/40_b.comb.sh.
% 88.70/12.27 % done 580 iterations in 11.557s
% 88.70/12.27 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 88.70/12.27 % SZS output start Refutation
% See solution above
% 88.70/12.27
% 88.70/12.27
% 88.70/12.27 % Terminating...
% 88.87/12.33 % Runner terminated.
% 88.89/12.34 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------