TSTP Solution File: SWW323+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW323+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.COEa0McYkB true
% Computer : n009.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 01:41:34 EDT 2023
% Result : Theorem 8.99s 1.85s
% Output : Refutation 8.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 34
% Syntax : Number of formulae : 51 ( 11 unt; 26 typ; 0 def)
% Number of atoms : 41 ( 12 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 517 ( 13 ~; 10 |; 1 &; 488 @)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 26 usr; 14 con; 0-3 aty)
% Number of variables : 41 ( 0 ^; 40 !; 1 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_G_type,type,
v_G: $i ).
thf(t_a_type,type,
t_a: $i ).
thf(v_P_type,type,
v_P: $i ).
thf(c_COMBS_type,type,
c_COMBS: $i > $i > $i > $i ).
thf(tc_Com_Ostate_type,type,
tc_Com_Ostate: $i ).
thf(c_Set_Oinsert_type,type,
c_Set_Oinsert: $i > $i ).
thf(c_member_type,type,
c_member: $i > $i ).
thf(v_c0_type,type,
v_c0: $i ).
thf(c_Hoare__Mirabelle_Ohoare__derivs_type,type,
c_Hoare__Mirabelle_Ohoare__derivs: $i > $i > $i > $o ).
thf(tc_Com_Ocom_type,type,
tc_Com_Ocom: $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(v_x_type,type,
v_x: $i ).
thf(c_Orderings_Obot__class_Obot_type,type,
c_Orderings_Obot__class_Obot: $i > $i ).
thf(c_Hoare__Mirabelle_Otriple_Otriple_type,type,
c_Hoare__Mirabelle_Otriple_Otriple: $i > $i ).
thf(tc_HOL_Obool_type,type,
tc_HOL_Obool: $i ).
thf(v_Q_H_type,type,
v_Q_H: $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(tc_Hoare__Mirabelle_Otriple_type,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
thf(c_Set_Oimage_type,type,
c_Set_Oimage: $i > $i > $i > $i ).
thf(v_F_type,type,
v_F: $i ).
thf(c_COMBB_type,type,
c_COMBB: $i > $i > $i > $i ).
thf(v_P_H_type,type,
v_P_H: $i ).
thf(t_b_type,type,
t_b: $i ).
thf(tc_fun_type,type,
tc_fun: $i > $i > $i ).
thf(v_Q_type,type,
v_Q: $i ).
thf(conj_0,axiom,
! [B_p: $i] :
( ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P_H @ B_p ) ) @ ( hAPP @ v_c0 @ B_p ) ) @ ( hAPP @ v_Q_H @ B_p ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ tc_HOL_Obool ) ) ) )
=> ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P @ B_p ) ) @ ( hAPP @ v_c0 @ B_p ) ) @ ( hAPP @ v_Q @ B_p ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ tc_HOL_Obool ) ) ) ) ) ).
thf(zip_derived_cl146,plain,
! [X0: $i] :
( ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P @ X0 ) ) @ ( hAPP @ v_c0 @ X0 ) ) @ ( hAPP @ v_Q @ X0 ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ tc_HOL_Obool ) ) ) )
| ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P_H @ X0 ) ) @ ( hAPP @ v_c0 @ X0 ) ) @ ( hAPP @ v_Q_H @ X0 ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ tc_HOL_Obool ) ) ) ) ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(fact_ex__in__conv,axiom,
! [V_A_2: $i,T_c: $i] :
( ? [B_x: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_c ) @ B_x ) @ V_A_2 ) )
<=> ( V_A_2
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_c @ tc_HOL_Obool ) ) ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ ( sk__1 @ X0 @ X1 ) ) @ X1 ) )
| ( X1
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ) ),
inference(cnf,[status(esa)],[fact_ex__in__conv]) ).
thf(fact_insert__absorb,axiom,
! [V_A_2: $i,V_a_2: $i,T_c: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_c ) @ V_a_2 ) @ V_A_2 ) )
=> ( ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ T_c ) @ V_a_2 ) @ V_A_2 )
= V_A_2 ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X1 ) @ X2 ) @ X0 )
= X0 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X1 ) @ X2 ) @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_insert__absorb]) ).
thf(zip_derived_cl424,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X1 @ tc_HOL_Obool ) ) )
| ( ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X1 ) @ ( sk__1 @ X1 @ X0 ) ) @ X0 )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl32]) ).
thf(fact_insert__code,axiom,
! [V_x_2: $i,V_A_2: $i,V_y_2: $i,T_c: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ T_c ) @ V_y_2 ) @ V_A_2 ) @ V_x_2 ) )
<=> ( ( V_y_2 = V_x_2 )
| ( hBOOL @ ( hAPP @ V_A_2 @ V_x_2 ) ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X0 ) @ X1 ) @ X2 ) @ X3 ) )
| ( X1 != X3 ) ),
inference(cnf,[status(esa)],[fact_insert__code]) ).
thf(zip_derived_cl521,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hBOOL @ ( hAPP @ X0 @ X1 ) )
| ( X0
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X2 @ tc_HOL_Obool ) ) )
| ( ( sk__1 @ X2 @ X0 )
!= X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl424,zip_derived_cl22]) ).
thf(zip_derived_cl578,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X1 @ tc_HOL_Obool ) ) )
| ( hBOOL @ ( hAPP @ X0 @ ( sk__1 @ X1 @ X0 ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl521]) ).
thf(fact_bot__empty__eq,axiom,
! [V_x_2: $i,T_c: $i] :
( ( hBOOL @ ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_c @ tc_HOL_Obool ) ) @ V_x_2 ) )
<=> ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_c ) @ V_x_2 ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_c @ tc_HOL_Obool ) ) ) ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_bot__empty__eq]) ).
thf(fact_emptyE,axiom,
! [V_a_2: $i,T_c: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_c ) @ V_a_2 ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_c @ tc_HOL_Obool ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ) ),
inference(cnf,[status(esa)],[fact_emptyE]) ).
thf(zip_derived_cl253,plain,
! [X0: $i,X1: $i] :
~ ( hBOOL @ ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl53,zip_derived_cl16]) ).
thf(zip_derived_cl630,plain,
! [X0: $i,X1: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X1 @ tc_HOL_Obool ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl253]) ).
thf(conj_5,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P @ v_x ) ) @ ( hAPP @ v_c0 @ v_x ) ) @ ( hAPP @ v_Q @ v_x ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ tc_HOL_Obool ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P @ v_x ) ) @ ( hAPP @ v_c0 @ v_x ) ) @ ( hAPP @ v_Q @ v_x ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ tc_HOL_Obool ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_5]) ).
thf(zip_derived_cl151,plain,
~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P @ v_x ) ) @ ( hAPP @ v_c0 @ v_x ) ) @ ( hAPP @ v_Q @ v_x ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ tc_HOL_Obool ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl695,plain,
! [X0: $i] :
~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P @ v_x ) ) @ ( hAPP @ v_c0 @ v_x ) ) @ ( hAPP @ v_Q @ v_x ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl630,zip_derived_cl151]) ).
thf(zip_derived_cl2312,plain,
~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P_H @ v_x ) ) @ ( hAPP @ v_c0 @ v_x ) ) @ ( hAPP @ v_Q_H @ v_x ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ tc_HOL_Obool ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl695]) ).
thf(conj_4,axiom,
( ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( c_Set_Oimage @ t_a @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ t_a ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) ) @ v_P_H ) ) @ v_c0 ) ) @ v_Q_H ) ) @ v_F ) )
& ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P_H @ v_x ) ) @ ( hAPP @ v_c0 @ v_x ) ) @ ( hAPP @ v_Q_H @ v_x ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ tc_HOL_Obool ) ) ) ) ) ).
thf(zip_derived_cl150,plain,
c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P_H @ v_x ) ) @ ( hAPP @ v_c0 @ v_x ) ) @ ( hAPP @ v_Q_H @ v_x ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ tc_HOL_Obool ) ) ),
inference(cnf,[status(esa)],[conj_4]) ).
thf(zip_derived_cl2317,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2312,zip_derived_cl150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW323+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.COEa0McYkB true
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 21:15:05 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/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 FO mode
% 0.53/0.63 % Total configuration time : 435
% 0.53/0.63 % Estimated wc time : 1092
% 0.53/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 8.99/1.85 % Solved by fo/fo4.sh.
% 8.99/1.85 % done 378 iterations in 1.092s
% 8.99/1.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.99/1.85 % SZS output start Refutation
% See solution above
% 8.99/1.85
% 8.99/1.85
% 8.99/1.85 % Terminating...
% 8.99/1.95 % Runner terminated.
% 8.99/1.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------