TSTP Solution File: SWW326+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW326+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XqrdaT49ms true
% Computer : n025.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 : Fri Sep 1 01:41:35 EDT 2023
% Result : Theorem 1.31s 1.31s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 26
% Syntax : Number of formulae : 48 ( 8 unt; 21 typ; 0 def)
% Number of atoms : 65 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 253 ( 23 ~; 16 |; 4 &; 192 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 19 usr; 10 con; 0-4 aty)
% Number of variables : 40 ( 0 ^; 40 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_b_type,type,
v_b: $i ).
thf(zip_tseitin_14_type,type,
zip_tseitin_14: $i > $o ).
thf(c_Natural_Oevaln_type,type,
c_Natural_Oevaln: $i > $i > $i > $i > $o ).
thf(c_Com_Ocom_OWhile_type,type,
c_Com_Ocom_OWhile: $i > $i > $i ).
thf(sk__22_type,type,
sk__22: $i ).
thf(tc_Hoare__Mirabelle_Otriple_type,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(c_member_type,type,
c_member: $i > $i ).
thf(zip_tseitin_15_type,type,
zip_tseitin_15: $i > $i > $o ).
thf(sk__21_type,type,
sk__21: $i ).
thf(t_a_type,type,
t_a: $i ).
thf(v_P_type,type,
v_P: $i > $i > $o ).
thf(v_c_type,type,
v_c: $i ).
thf(sk__20_type,type,
sk__20: $i ).
thf(c_Hoare__Mirabelle_Otriple__valid_type,type,
c_Hoare__Mirabelle_Otriple__valid: $i > $i > $i > $o ).
thf(sk__23_type,type,
sk__23: $i ).
thf(v_G_type,type,
v_G: $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(v_n_type,type,
v_n: $i ).
thf(conj_2,conjecture,
( ! [B_x: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ v_G ) )
=> ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ v_n @ B_x ) )
=> ! [B_Z: $i,B_s: $i] :
( ( v_P @ B_Z @ B_s )
=> ! [B_s_H: $i] :
( ( c_Natural_Oevaln @ ( c_Com_Ocom_OWhile @ v_b @ v_c ) @ B_s @ v_n @ B_s_H )
=> ( ( v_P @ B_Z @ B_s_H )
& ~ ( hBOOL @ ( hAPP @ v_b @ B_s_H ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [B_x: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ v_G ) )
=> ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ v_n @ B_x ) )
=> ! [B_Z: $i,B_s: $i] :
( ( v_P @ B_Z @ B_s )
=> ! [B_s_H: $i] :
( ( c_Natural_Oevaln @ ( c_Com_Ocom_OWhile @ v_b @ v_c ) @ B_s @ v_n @ B_s_H )
=> ( ( v_P @ B_Z @ B_s_H )
& ~ ( hBOOL @ ( hAPP @ v_b @ B_s_H ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_2]) ).
thf(zip_derived_cl152,plain,
v_P @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl150,plain,
c_Natural_Oevaln @ ( c_Com_Ocom_OWhile @ v_b @ v_c ) @ sk__22 @ v_n @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(conj_1,axiom,
! [B_s: $i,B_s_H: $i] :
( ( c_Natural_Oevaln @ ( c_Com_Ocom_OWhile @ v_b @ v_c ) @ B_s @ v_n @ B_s_H )
=> ( ! [B_x: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ v_G ) )
=> ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ v_n @ B_x ) )
=> ! [B_Z: $i] :
( ( v_P @ B_Z @ B_s )
=> ( ~ ( hBOOL @ ( hAPP @ v_b @ B_s_H ) )
& ( v_P @ B_Z @ B_s_H ) ) ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_15: $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [B_Z: $i,B_s_H: $i] :
( ( zip_tseitin_15 @ B_Z @ B_s_H )
=> ( ( v_P @ B_Z @ B_s_H )
& ~ ( hBOOL @ ( hAPP @ v_b @ B_s_H ) ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_14: $i > $o ).
thf(zf_stmt_4,axiom,
! [B_x: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ v_G ) )
=> ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ v_n @ B_x ) )
=> ( zip_tseitin_14 @ B_x ) ) ).
thf(zf_stmt_5,axiom,
! [B_s: $i,B_s_H: $i] :
( ( c_Natural_Oevaln @ ( c_Com_Ocom_OWhile @ v_b @ v_c ) @ B_s @ v_n @ B_s_H )
=> ( ! [B_x: $i] : ( zip_tseitin_14 @ B_x )
=> ! [B_Z: $i] :
( ( v_P @ B_Z @ B_s )
=> ( zip_tseitin_15 @ B_Z @ B_s_H ) ) ) ) ).
thf(zip_derived_cl148,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_14 @ sk__20 )
| ~ ( c_Natural_Oevaln @ ( c_Com_Ocom_OWhile @ v_b @ v_c ) @ X0 @ v_n @ X1 )
| ( zip_tseitin_15 @ X2 @ X1 )
| ~ ( v_P @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl145,plain,
! [X0: $i] :
( ( zip_tseitin_14 @ X0 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ X0 ) @ v_G ) ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl149,plain,
! [X0: $i] :
( ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ v_n @ X0 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ X0 ) @ v_G ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl166,plain,
! [X0: $i] :
( ( zip_tseitin_14 @ X0 )
| ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ v_n @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl149]) ).
thf(zip_derived_cl144,plain,
! [X0: $i] :
( ( zip_tseitin_14 @ X0 )
| ~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ v_n @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl175,plain,
! [X0: $i] : ( zip_tseitin_14 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl166,zip_derived_cl144]) ).
thf(zip_derived_cl176,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( c_Natural_Oevaln @ ( c_Com_Ocom_OWhile @ v_b @ v_c ) @ X0 @ v_n @ X1 )
| ( zip_tseitin_15 @ X2 @ X1 )
| ~ ( v_P @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl175]) ).
thf(zip_derived_cl206,plain,
! [X0: $i] :
( ~ ( v_P @ X0 @ sk__22 )
| ( zip_tseitin_15 @ X0 @ sk__23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl176]) ).
thf(zip_derived_cl151,plain,
( ~ ( v_P @ sk__21 @ sk__23 )
| ( hBOOL @ ( hAPP @ v_b @ sk__23 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl147,plain,
! [X0: $i,X1: $i] :
( ~ ( hBOOL @ ( hAPP @ v_b @ X0 ) )
| ~ ( zip_tseitin_15 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl154,plain,
! [X0: $i] :
( ~ ( v_P @ sk__21 @ sk__23 )
| ~ ( zip_tseitin_15 @ X0 @ sk__23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl147]) ).
thf(zip_derived_cl206_001,plain,
! [X0: $i] :
( ~ ( v_P @ X0 @ sk__22 )
| ( zip_tseitin_15 @ X0 @ sk__23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl176]) ).
thf(zip_derived_cl146,plain,
! [X0: $i,X1: $i] :
( ( v_P @ X0 @ X1 )
| ~ ( zip_tseitin_15 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl207,plain,
! [X0: $i] :
( ~ ( v_P @ X0 @ sk__22 )
| ( v_P @ X0 @ sk__23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl146]) ).
thf(zip_derived_cl152_002,plain,
v_P @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl210,plain,
v_P @ sk__21 @ sk__23,
inference('sup+',[status(thm)],[zip_derived_cl207,zip_derived_cl152]) ).
thf(zip_derived_cl214,plain,
! [X0: $i] :
~ ( zip_tseitin_15 @ X0 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl210]) ).
thf(zip_derived_cl218,plain,
! [X0: $i] :
~ ( v_P @ X0 @ sk__22 ),
inference('sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl214]) ).
thf(zip_derived_cl219,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW326+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XqrdaT49ms true
% 0.14/0.35 % Computer : n025.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 21:24:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.22/0.63 % Total configuration time : 435
% 0.22/0.63 % Estimated wc time : 1092
% 0.22/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.04/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.04/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.04/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.31/1.31 % Solved by fo/fo4.sh.
% 1.31/1.31 % done 82 iterations in 0.484s
% 1.31/1.31 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.31/1.31 % SZS output start Refutation
% See solution above
% 1.31/1.31
% 1.31/1.31
% 1.31/1.31 % Terminating...
% 5.42/1.43 % Runner terminated.
% 5.42/1.44 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------