TSTP Solution File: ITP194^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP194^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5C9vmenKkd true
% Computer : n014.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 05:22:47 EDT 2023
% Result : Theorem 2.55s 1.32s
% Output : Refutation 2.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 21
% Syntax : Number of formulae : 60 ( 28 unt; 13 typ; 0 def)
% Number of atoms : 98 ( 32 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 257 ( 12 ~; 14 |; 0 &; 209 @)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 11 usr; 9 con; 0-3 aty)
% ( 14 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 66 ( 26 ^; 40 !; 0 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
thf(real_type,type,
real: $tType ).
thf(poly_real_type,type,
poly_real: $tType ).
thf(ord_less_real_type,type,
ord_less_real: real > real > $o ).
thf(ord_min_real_type,type,
ord_min_real: real > real > real ).
thf(p_type,type,
p: poly_real ).
thf(lb_type,type,
lb: real ).
thf('#sk5_type',type,
'#sk5': real ).
thf(if_real_type,type,
if_real: $o > real > real > real ).
thf(lb2_type,type,
lb2: real ).
thf(poly_real2_type,type,
poly_real2: poly_real > real > real ).
thf(lb1_type,type,
lb1: real ).
thf(ord_less_eq_real_type,type,
ord_less_eq_real: real > real > $o ).
thf(zero_zero_real_type,type,
zero_zero_real: real ).
thf(conj_0,conjecture,
! [X3: real] :
( ( ( poly_real2 @ p @ X3 )
!= zero_zero_real )
| ( ord_less_real @ lb @ X3 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X3: real] :
( ( ( poly_real2 @ p @ X3 )
!= zero_zero_real )
| ( ord_less_real @ lb @ X3 ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl350,plain,
~ ( !!
@ ^ [Y0: real] :
( ( ( poly_real2 @ p @ Y0 )
!= zero_zero_real )
| ( ord_less_real @ lb @ Y0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl475,plain,
~ ( ( ( poly_real2 @ p @ '#sk5' )
!= zero_zero_real )
| ( ord_less_real @ lb @ '#sk5' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl350]) ).
thf(zip_derived_cl477,plain,
~ ( ord_less_real @ lb @ '#sk5' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl475]) ).
thf(fact_1_lb__def,axiom,
( lb
= ( ord_min_real @ lb1 @ lb2 ) ) ).
thf(zip_derived_cl1,plain,
( lb
= ( ord_min_real @ lb1 @ lb2 ) ),
inference(cnf,[status(esa)],[fact_1_lb__def]) ).
thf(fact_112_min_Ocobounded1,axiom,
! [A: real,B: real] : ( ord_less_eq_real @ ( ord_min_real @ A @ B ) @ A ) ).
thf(zip_derived_cl112,plain,
( !!
@ ^ [Y0: real] :
( !!
@ ^ [Y1: real] : ( ord_less_eq_real @ ( ord_min_real @ Y0 @ Y1 ) @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_112_min_Ocobounded1]) ).
thf(zip_derived_cl655,plain,
! [X2: real] :
( !!
@ ^ [Y0: real] : ( ord_less_eq_real @ ( ord_min_real @ X2 @ Y0 ) @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl112]) ).
thf(zip_derived_cl656,plain,
! [X2: real,X4: real] : ( ord_less_eq_real @ ( ord_min_real @ X2 @ X4 ) @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl655]) ).
thf(zip_derived_cl657,plain,
ord_less_eq_real @ lb @ lb1,
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl656]) ).
thf(fact_197_min__def,axiom,
( ord_min_real
= ( ^ [A2: real,B2: real] : ( if_real @ ( ord_less_eq_real @ A2 @ B2 ) @ A2 @ B2 ) ) ) ).
thf(zip_derived_cl197,plain,
( ord_min_real
= ( ^ [Y0: real,Y1: real] : ( if_real @ ( ord_less_eq_real @ Y0 @ Y1 ) @ Y0 @ Y1 ) ) ),
inference(cnf,[status(esa)],[fact_197_min__def]) ).
thf(zip_derived_cl848,plain,
! [X1: real,X2: real] :
( ( ord_min_real @ X1 @ X2 )
= ( ^ [Y0: real,Y1: real] : ( if_real @ ( ord_less_eq_real @ Y0 @ Y1 ) @ Y0 @ Y1 )
@ X1
@ X2 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl197]) ).
thf(zip_derived_cl850,plain,
! [X1: real,X2: real] :
( ( ord_min_real @ X1 @ X2 )
= ( if_real @ ( ord_less_eq_real @ X1 @ X2 ) @ X1 @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl848]) ).
thf(zip_derived_cl1209,plain,
( ( ord_min_real @ lb @ lb1 )
= ( if_real @ $true @ lb @ lb1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl657,zip_derived_cl850]) ).
thf(fact_54_min_Ocommute,axiom,
( ord_min_real
= ( ^ [A2: real,B2: real] : ( ord_min_real @ B2 @ A2 ) ) ) ).
thf(zip_derived_cl54,plain,
( ord_min_real
= ( ^ [Y0: real,Y1: real] : ( ord_min_real @ Y1 @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_54_min_Ocommute]) ).
thf(zip_derived_cl391,plain,
! [X1: real,X2: real] :
( ( ord_min_real @ X1 @ X2 )
= ( ^ [Y0: real,Y1: real] : ( ord_min_real @ Y1 @ Y0 )
@ X1
@ X2 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl393,plain,
! [X1: real,X2: real] :
( ( ord_min_real @ X1 @ X2 )
= ( ord_min_real @ X2 @ X1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl391]) ).
thf(zip_derived_cl1230,plain,
( ( ord_min_real @ lb1 @ lb )
= ( if_real @ $true @ lb @ lb1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1209,zip_derived_cl393]) ).
thf(help_If_1_1_If_001t__Real__Oreal_T,axiom,
! [X2: real,Y: real] :
( ( if_real @ $true @ X2 @ Y )
= X2 ) ).
thf(zip_derived_cl349,plain,
( !!
@ ^ [Y0: real] :
( !!
@ ^ [Y1: real] :
( ( if_real @ $true @ Y0 @ Y1 )
= Y0 ) ) ),
inference(cnf,[status(esa)],[help_If_1_1_If_001t__Real__Oreal_T]) ).
thf(zip_derived_cl1344,plain,
! [X2: real] :
( !!
@ ^ [Y0: real] :
( ( if_real @ $true @ X2 @ Y0 )
= X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl349]) ).
thf(zip_derived_cl1345,plain,
! [X2: real,X4: real] :
( ( if_real @ $true @ X2 @ X4 )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1344]) ).
thf(zip_derived_cl1346,plain,
! [X2: real,X4: real] :
( ( if_real @ $true @ X2 @ X4 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1345]) ).
thf(zip_derived_cl1348,plain,
( ( ord_min_real @ lb1 @ lb )
= lb ),
inference(demod,[status(thm)],[zip_derived_cl1230,zip_derived_cl1346]) ).
thf(zip_derived_cl476,plain,
( ( poly_real2 @ p @ '#sk5' )
!= zero_zero_real ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl475]) ).
thf(zip_derived_cl478,plain,
( ( poly_real2 @ p @ '#sk5' )
= zero_zero_real ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl476]) ).
thf(fact_0_lb1,axiom,
! [X: real] :
( ( ( poly_real2 @ p @ X )
= zero_zero_real )
=> ( ord_less_real @ lb1 @ X ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: real] :
( ( ( poly_real2 @ p @ Y0 )
= zero_zero_real )
=> ( ord_less_real @ lb1 @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_0_lb1]) ).
thf(zip_derived_cl352,plain,
! [X2: real] :
( ( ( poly_real2 @ p @ X2 )
= zero_zero_real )
=> ( ord_less_real @ lb1 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl353,plain,
! [X2: real] :
( ( ( poly_real2 @ p @ X2 )
!= zero_zero_real )
| ( ord_less_real @ lb1 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl352]) ).
thf(zip_derived_cl354,plain,
! [X2: real] :
( ( ( poly_real2 @ p @ X2 )
!= zero_zero_real )
| ( ord_less_real @ lb1 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl353]) ).
thf(zip_derived_cl480,plain,
( ( zero_zero_real != zero_zero_real )
| ( ord_less_real @ lb1 @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl354]) ).
thf(zip_derived_cl484,plain,
ord_less_real @ lb1 @ '#sk5',
inference(simplify,[status(thm)],[zip_derived_cl480]) ).
thf(fact_47_min__less__iff__disj,axiom,
! [X2: real,Y: real,Z: real] :
( ( ord_less_real @ ( ord_min_real @ X2 @ Y ) @ Z )
<=> ( ( ord_less_real @ X2 @ Z )
| ( ord_less_real @ Y @ Z ) ) ) ).
thf(zip_derived_cl47,plain,
( !!
@ ^ [Y0: real] :
( !!
@ ^ [Y1: real] :
( !!
@ ^ [Y2: real] :
( ( ord_less_real @ ( ord_min_real @ Y0 @ Y1 ) @ Y2 )
<=> ( ( ord_less_real @ Y0 @ Y2 )
| ( ord_less_real @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_47_min__less__iff__disj]) ).
thf(zip_derived_cl2443,plain,
! [X2: real] :
( !!
@ ^ [Y0: real] :
( !!
@ ^ [Y1: real] :
( ( ord_less_real @ ( ord_min_real @ X2 @ Y0 ) @ Y1 )
<=> ( ( ord_less_real @ X2 @ Y1 )
| ( ord_less_real @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl2444,plain,
! [X2: real,X4: real] :
( !!
@ ^ [Y0: real] :
( ( ord_less_real @ ( ord_min_real @ X2 @ X4 ) @ Y0 )
<=> ( ( ord_less_real @ X2 @ Y0 )
| ( ord_less_real @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2443]) ).
thf(zip_derived_cl2445,plain,
! [X2: real,X4: real,X6: real] :
( ( ord_less_real @ ( ord_min_real @ X2 @ X4 ) @ X6 )
<=> ( ( ord_less_real @ X2 @ X6 )
| ( ord_less_real @ X4 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2444]) ).
thf(zip_derived_cl2446,plain,
! [X2: real,X4: real,X6: real] :
( ( ord_less_real @ ( ord_min_real @ X2 @ X4 ) @ X6 )
= ( ( ord_less_real @ X2 @ X6 )
| ( ord_less_real @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2445]) ).
thf(zip_derived_cl2451,plain,
! [X0: real] :
( ( ord_less_real @ ( ord_min_real @ lb1 @ X0 ) @ '#sk5' )
= ( $true
| ( ord_less_real @ X0 @ '#sk5' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl484,zip_derived_cl2446]) ).
thf(zip_derived_cl2475,plain,
! [X0: real] : ( ord_less_real @ ( ord_min_real @ lb1 @ X0 ) @ '#sk5' ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl2451]) ).
thf(zip_derived_cl3272,plain,
ord_less_real @ lb @ '#sk5',
inference('sup+',[status(thm)],[zip_derived_cl1348,zip_derived_cl2475]) ).
thf(zip_derived_cl3299,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl3272]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP194^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5C9vmenKkd true
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 : Sun Aug 27 11:16:16 EDT 2023
% 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
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in HO mode
% 0.20/0.66 % Total configuration time : 828
% 0.20/0.66 % Estimated wc time : 1656
% 0.20/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.47/0.84 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 2.55/1.32 % Solved by lams/35_full_unif4.sh.
% 2.55/1.32 % done 498 iterations in 0.542s
% 2.55/1.32 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.55/1.32 % SZS output start Refutation
% See solution above
% 2.55/1.32
% 2.55/1.32
% 2.55/1.32 % Terminating...
% 2.55/1.38 % Runner terminated.
% 2.55/1.39 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------