TSTP Solution File: ITP195^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP195^1 : 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.ILwRD6kn3Y true
% Computer : n017.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 1.46s 0.85s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 30 ( 12 unt; 9 typ; 0 def)
% Number of atoms : 56 ( 15 equ; 1 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 175 ( 21 ~; 3 |; 5 &; 130 @)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(real_type,type,
real: $tType ).
thf(poly_real_type,type,
poly_real: $tType ).
thf(poly_real2_type,type,
poly_real2: poly_real > real > real ).
thf(pderiv_real_type,type,
pderiv_real: poly_real > poly_real ).
thf(zero_zero_real_type,type,
zero_zero_real: real ).
thf(ord_less_real_type,type,
ord_less_real: real > real > $o ).
thf(x_type,type,
x: real ).
thf(sturm_469514713_r_pos_type,type,
sturm_469514713_r_pos: poly_real > real > $o ).
thf(p_type,type,
p: poly_real ).
thf(fact_2__092_060open_0620_A_060_Apoly_Ap_Ax_A_092_060Longrightarrow_062_Asign__r__pos_Ap_Ax_092_060close_062,axiom,
( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
=> ( sturm_469514713_r_pos @ p @ x ) ) ).
thf(zip_derived_cl2,plain,
( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
=> ( sturm_469514713_r_pos @ p @ x ) ),
inference(cnf,[status(esa)],[fact_2__092_060open_0620_A_060_Apoly_Ap_Ax_A_092_060Longrightarrow_062_Asign__r__pos_Ap_Ax_092_060close_062]) ).
thf(zip_derived_cl349,plain,
( ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
| ( sturm_469514713_r_pos @ p @ x ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(fact_1__092_060open_062sign__r__pos_Ap_Ax_A_092_060Longrightarrow_062_A0_A_060_Apoly_Ap_Ax_092_060close_062,axiom,
( ( sturm_469514713_r_pos @ p @ x )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ).
thf(zip_derived_cl1,plain,
( ( sturm_469514713_r_pos @ p @ x )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ),
inference(cnf,[status(esa)],[fact_1__092_060open_062sign__r__pos_Ap_Ax_A_092_060Longrightarrow_062_A0_A_060_Apoly_Ap_Ax_092_060close_062]) ).
thf(zip_derived_cl346,plain,
( ~ ( sturm_469514713_r_pos @ p @ x )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(conj_0,conjecture,
~ ( ( sturm_469514713_r_pos @ p @ x )
<=> ~ ( ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) )
& ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
=> ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( sturm_469514713_r_pos @ p @ x )
<=> ~ ( ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) )
& ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
=> ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl345,plain,
( ( sturm_469514713_r_pos @ p @ x )
= ( (~)
@ ( ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) )
& ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
=> ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl440,plain,
( ( sturm_469514713_r_pos @ p @ x )
!= ( ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) )
& ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
=> ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl345]) ).
thf(fact_0_False,axiom,
( ( poly_real2 @ p @ x )
!= zero_zero_real ) ).
thf(zip_derived_cl0,plain,
( ( poly_real2 @ p @ x )
!= zero_zero_real ),
inference(cnf,[status(esa)],[fact_0_False]) ).
thf(zip_derived_cl441,plain,
( ( sturm_469514713_r_pos @ p @ x )
!= ( ( $true
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) )
& ( $false
=> ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) ) ) ),
inference(inner_simplify_reflect,[status(thm)],[zip_derived_cl440,zip_derived_cl0]) ).
thf(zip_derived_cl442,plain,
( ( sturm_469514713_r_pos @ p @ x )
!= ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl441]) ).
thf(zip_derived_cl443,plain,
( ~ ( sturm_469514713_r_pos @ p @ x )
| ~ ( sturm_469514713_r_pos @ p @ x ) ),
inference('sup-',[status(thm)],[zip_derived_cl346,zip_derived_cl442]) ).
thf(zip_derived_cl448,plain,
~ ( sturm_469514713_r_pos @ p @ x ),
inference(simplify,[status(thm)],[zip_derived_cl443]) ).
thf(zip_derived_cl450,plain,
~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ),
inference(demod,[status(thm)],[zip_derived_cl349,zip_derived_cl448]) ).
thf(zip_derived_cl442_001,plain,
( ( sturm_469514713_r_pos @ p @ x )
!= ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl441]) ).
thf(zip_derived_cl448_002,plain,
~ ( sturm_469514713_r_pos @ p @ x ),
inference(simplify,[status(thm)],[zip_derived_cl443]) ).
thf(zip_derived_cl451,plain,
ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl448]) ).
thf(zip_derived_cl455,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl451]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ITP195^1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ILwRD6kn3Y true
% 0.12/0.35 % Computer : n017.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Aug 27 12:09:26 EDT 2023
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % Running portfolio for 300 s
% 0.12/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.36 % Number of cores: 8
% 0.19/0.36 % Python version: Python 3.6.8
% 0.19/0.36 % Running in HO mode
% 0.20/0.64 % Total configuration time : 828
% 0.20/0.64 % Estimated wc time : 1656
% 0.20/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 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/35_full_unif4.sh running for 80s
% 1.37/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.37/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.37/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.37/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.37/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.42/0.81 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.46/0.85 % Solved by lams/35_full_unif4.sh.
% 1.46/0.85 % done 73 iterations in 0.080s
% 1.46/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.46/0.85 % SZS output start Refutation
% See solution above
% 1.46/0.85
% 1.46/0.85
% 1.46/0.85 % Terminating...
% 1.86/0.95 % Runner terminated.
% 1.86/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------