TSTP Solution File: SWW339+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW339+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.2A7KkEaEbg true
% Computer : n022.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 01:41:37 EDT 2023
% Result : Theorem 6.25s 1.59s
% Output : Refutation 6.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of formulae : 43 ( 8 unt; 15 typ; 0 def)
% Number of atoms : 60 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 343 ( 17 ~; 20 |; 0 &; 294 @)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 15 usr; 8 con; 0-3 aty)
% Number of variables : 43 ( 0 ^; 43 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_G_type,type,
v_G: $i ).
thf(v_ts_H_type,type,
v_ts_H: $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(c_Orderings_Oord__class_Oless__eq_type,type,
c_Orderings_Oord__class_Oless__eq: $i > $i ).
thf(tc_HOL_Obool_type,type,
tc_HOL_Obool: $i ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(v_ts_type,type,
v_ts: $i ).
thf(tc_Hoare__Mirabelle_Otriple_type,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(c_member_type,type,
c_member: $i > $i ).
thf(c_Hoare__Mirabelle_Otriple__valid_type,type,
c_Hoare__Mirabelle_Otriple__valid: $i > $i > $i > $o ).
thf(tc_fun_type,type,
tc_fun: $i > $i > $i ).
thf(t_a_type,type,
t_a: $i ).
thf(conj_3,conjecture,
! [B_n: $i] :
( ! [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 @ B_n @ B_x ) )
=> ! [B_x: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ v_ts ) )
=> ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B_n: $i] :
( ! [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 @ B_n @ B_x ) )
=> ! [B_x: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ v_ts ) )
=> ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) ) ),
inference('cnf.neg',[status(esa)],[conj_3]) ).
thf(zip_derived_cl35,plain,
~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__3 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(conj_1,axiom,
! [B_n: $i] :
( ! [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 @ B_n @ B_x ) )
=> ! [B_x: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ v_ts_H ) )
=> ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ X0 ) @ v_ts_H ) )
| ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ X0 )
| ~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ ( sk__2 @ X1 ) ) ),
inference(cnf,[status(esa)],[conj_1]) ).
thf(fact_mem__def,axiom,
! [V_A_2: $i,V_x_2: $i,T_b: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_x_2 ) @ V_A_2 ) )
<=> ( hBOOL @ ( hAPP @ V_A_2 @ V_x_2 ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ X2 ) )
| ~ ( hBOOL @ ( hAPP @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_mem__def]) ).
thf(zip_derived_cl203,plain,
! [X0: $i,X1: $i] :
( ~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ ( sk__2 @ X1 ) )
| ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ X0 )
| ~ ( hBOOL @ ( hAPP @ v_ts_H @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl21]) ).
thf(conj_2,axiom,
hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) @ v_ts ) @ v_ts_H ) ).
thf(zip_derived_cl33,plain,
hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) @ v_ts ) @ v_ts_H ),
inference(cnf,[status(esa)],[conj_2]) ).
thf(fact_subsetD,axiom,
! [V_c_2: $i,V_B_2: $i,V_A_2: $i,T_b: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) @ V_A_2 ) @ V_B_2 ) )
=> ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_c_2 ) @ V_A_2 ) )
=> ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_c_2 ) @ V_B_2 ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ X2 ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ X3 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ X2 ) @ X3 ) ) ),
inference(cnf,[status(esa)],[fact_subsetD]) ).
thf(zip_derived_cl81,plain,
! [X0: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ X0 ) @ v_ts_H ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ X0 ) @ v_ts ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl14]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hBOOL @ ( hAPP @ X0 @ X1 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X2 ) @ X1 ) @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_mem__def]) ).
thf(zip_derived_cl110,plain,
! [X0: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ X0 ) @ v_ts ) )
| ( hBOOL @ ( hAPP @ v_ts_H @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl20]) ).
thf(zip_derived_cl36,plain,
hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ sk__4 ) @ v_ts ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120,plain,
hBOOL @ ( hAPP @ v_ts_H @ sk__4 ),
inference('sup+',[status(thm)],[zip_derived_cl110,zip_derived_cl36]) ).
thf(zip_derived_cl223,plain,
! [X0: $i] :
( ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__4 )
| ~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ ( sk__2 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl203,zip_derived_cl120]) ).
thf(zip_derived_cl120_001,plain,
hBOOL @ ( hAPP @ v_ts_H @ sk__4 ),
inference('sup+',[status(thm)],[zip_derived_cl110,zip_derived_cl36]) ).
thf(zip_derived_cl21_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ X2 ) )
| ~ ( hBOOL @ ( hAPP @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_mem__def]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ X0 ) @ v_ts_H ) )
| ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ X0 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( sk__2 @ X1 ) ) @ v_G ) ) ),
inference(cnf,[status(esa)],[conj_1]) ).
thf(zip_derived_cl215,plain,
! [X0: $i,X1: $i] :
( ~ ( hBOOL @ ( hAPP @ v_ts_H @ X0 ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( sk__2 @ X1 ) ) @ v_G ) )
| ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl31]) ).
thf(zip_derived_cl247,plain,
! [X0: $i] :
( ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__4 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( sk__2 @ X0 ) ) @ v_G ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl215]) ).
thf(zip_derived_cl34,plain,
! [X0: $i] :
( ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__3 @ 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_cl255,plain,
! [X0: $i] :
( ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__4 )
| ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__3 @ ( sk__2 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl34]) ).
thf(zip_derived_cl276,plain,
( ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__3 @ sk__4 )
| ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__3 @ sk__4 ) ),
inference('sup+',[status(thm)],[zip_derived_cl223,zip_derived_cl255]) ).
thf(zip_derived_cl277,plain,
c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__3 @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl276]) ).
thf(zip_derived_cl279,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl277]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWW339+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2A7KkEaEbg true
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun Aug 27 19:47:39 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.17/0.33 % Python version: Python 3.6.8
% 0.17/0.33 % Running in FO mode
% 0.17/0.60 % Total configuration time : 435
% 0.17/0.60 % Estimated wc time : 1092
% 0.17/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.25/1.59 % Solved by fo/fo4.sh.
% 6.25/1.59 % done 156 iterations in 0.832s
% 6.25/1.59 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.25/1.59 % SZS output start Refutation
% See solution above
% 6.25/1.59
% 6.25/1.59
% 6.25/1.59 % Terminating...
% 7.39/1.78 % Runner terminated.
% 7.39/1.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------