TSTP Solution File: SWW389+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW389+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.FhcywJ46kz 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 01:41:47 EDT 2023
% Result : Theorem 7.08s 1.60s
% Output : Refutation 7.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 26
% Syntax : Number of formulae : 47 ( 16 unt; 21 typ; 0 def)
% Number of atoms : 37 ( 20 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 455 ( 14 ~; 8 |; 0 &; 430 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 9 con; 0-5 aty)
% Number of variables : 88 ( 0 ^; 88 !; 0 ?; 88 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_COMBC_type,type,
c_COMBC: $i > $i > $i > $i ).
thf(v_Q_type,type,
v_Q: $i ).
thf(c_Set_Oinsert_type,type,
c_Set_Oinsert: $i > $i ).
thf(c_Hoare__Mirabelle_Ohoare__derivs_type,type,
c_Hoare__Mirabelle_Ohoare__derivs: $i > $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i > $i > $i > $i > $i ).
thf(c_fequal_type,type,
c_fequal: $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $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_Com_Ostate_type,type,
tc_Com_Ostate: $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i > $i > $i > $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(tc_HOL_Obool_type,type,
tc_HOL_Obool: $i ).
thf(c_COMBK_type,type,
c_COMBK: $i > $i > $i ).
thf(tc_Hoare__Mirabelle_Otriple_type,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(t_a_type,type,
t_a: $i ).
thf(v_c_type,type,
v_c: $i ).
thf(c_fFalse_type,type,
c_fFalse: $i ).
thf(tc_fun_type,type,
tc_fun: $i > $i > $i ).
thf(v_G_type,type,
v_G: $i ).
thf(fact_escape,axiom,
! [V_Qa_2: $i,V_ca_2: $i,V_Ga_2: $i,T_b: $i,V_P_2: $i] :
( ! [B_Z: $i,B_s: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ V_P_2 @ B_Z ) @ B_s ) )
=> ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_Ga_2 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ T_b ) @ ( hAPP @ ( c_COMBK @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) @ T_b ) @ ( hAPP @ ( hAPP @ ( c_COMBC @ tc_Com_Ostate @ tc_Com_Ostate @ tc_HOL_Obool ) @ c_fequal ) @ B_s ) ) ) @ V_ca_2 ) @ ( hAPP @ ( c_COMBK @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) @ T_b ) @ ( hAPP @ V_Qa_2 @ B_Z ) ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) @ tc_HOL_Obool ) ) ) ) )
=> ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_Ga_2 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ T_b ) @ V_P_2 ) @ V_ca_2 ) @ V_Qa_2 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) @ tc_HOL_Obool ) ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ X0 ) @ X2 ) @ X3 ) @ X4 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) @ tc_HOL_Obool ) ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ X2 @ ( sk__1 @ X2 @ X0 @ X1 @ X3 @ X4 ) ) @ ( sk__2 @ X2 @ X0 @ X1 @ X3 @ X4 ) ) ) ),
inference(cnf,[status(esa)],[fact_escape]) ).
thf(help_c__COMBK__1,axiom,
! [V_Q: $i,V_P: $i,T_b: $i,T_a: $i] :
( ( hAPP @ ( hAPP @ ( c_COMBK @ T_a @ T_b ) @ V_P ) @ V_Q )
= V_P ) ).
thf(zip_derived_cl200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( hAPP @ ( hAPP @ ( c_COMBK @ X1 @ X2 ) @ X0 ) @ X3 )
= X0 ),
inference(cnf,[status(esa)],[help_c__COMBK__1]) ).
thf(zip_derived_cl200_001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( hAPP @ ( hAPP @ ( c_COMBK @ X1 @ X2 ) @ X0 ) @ X3 )
= X0 ),
inference(cnf,[status(esa)],[help_c__COMBK__1]) ).
thf(fact_ext,axiom,
! [V_g_2: $i,V_f_2: $i] :
( ! [B_x: $i] :
( ( hAPP @ V_f_2 @ B_x )
= ( hAPP @ V_g_2 @ B_x ) )
=> ( V_f_2 = V_g_2 ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( ( hAPP @ X1 @ ( sk_ @ X1 @ X0 ) )
!= ( hAPP @ X0 @ ( sk_ @ X1 @ X0 ) ) ) ),
inference(cnf,[status(esa)],[fact_ext]) ).
thf(zip_derived_cl222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( hAPP @ X3 @ ( sk_ @ X3 @ ( hAPP @ ( c_COMBK @ X2 @ X1 ) @ X0 ) ) )
!= X0 )
| ( X3
= ( hAPP @ ( c_COMBK @ X2 @ X1 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl0]) ).
thf(zip_derived_cl224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 != X1 )
| ( ( hAPP @ ( c_COMBK @ X5 @ X4 ) @ X0 )
= ( hAPP @ ( c_COMBK @ X3 @ X2 ) @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl222]) ).
thf(zip_derived_cl224_002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 != X1 )
| ( ( hAPP @ ( c_COMBK @ X5 @ X4 ) @ X0 )
= ( hAPP @ ( c_COMBK @ X3 @ X2 ) @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl222]) ).
thf(zip_derived_cl254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hAPP @ ( c_COMBK @ X2 @ X1 ) @ X0 )
= ( hAPP @ ( c_COMBK @ X4 @ X3 ) @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl224]) ).
thf(zip_derived_cl254_003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hAPP @ ( c_COMBK @ X2 @ X1 ) @ X0 )
= ( hAPP @ ( c_COMBK @ X4 @ X3 ) @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl224]) ).
thf(conj_0,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ ( hAPP @ ( c_COMBK @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) @ t_a ) @ ( hAPP @ ( c_COMBK @ tc_HOL_Obool @ tc_Com_Ostate ) @ c_fFalse ) ) ) @ v_c ) @ v_Q ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ ( hAPP @ ( c_COMBK @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) @ t_a ) @ ( hAPP @ ( c_COMBK @ tc_HOL_Obool @ tc_Com_Ostate ) @ c_fFalse ) ) ) @ v_c ) @ v_Q ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl202,plain,
~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ ( hAPP @ ( c_COMBK @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) @ t_a ) @ ( hAPP @ ( c_COMBK @ tc_HOL_Obool @ tc_Com_Ostate ) @ c_fFalse ) ) ) @ v_c ) @ v_Q ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl639,plain,
! [X0: $i,X1: $i] :
~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ ( hAPP @ ( c_COMBK @ X1 @ X0 ) @ ( hAPP @ ( c_COMBK @ tc_HOL_Obool @ tc_Com_Ostate ) @ c_fFalse ) ) ) @ v_c ) @ v_Q ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl202]) ).
thf(zip_derived_cl957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ ( hAPP @ ( c_COMBK @ X3 @ X2 ) @ ( hAPP @ ( c_COMBK @ X1 @ X0 ) @ c_fFalse ) ) ) @ v_c ) @ v_Q ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl639]) ).
thf(zip_derived_cl1086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ ( hAPP @ ( c_COMBK @ X2 @ X1 ) @ X0 ) ) @ v_c ) @ v_Q ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) )
| ( X0
!= ( hAPP @ ( c_COMBK @ X4 @ X3 ) @ c_fFalse ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl224,zip_derived_cl957]) ).
thf(zip_derived_cl1842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_COMBK @ X2 @ X1 ) @ X0 ) @ ( sk__1 @ ( hAPP @ ( c_COMBK @ X2 @ X1 ) @ X0 ) @ t_a @ v_G @ v_c @ v_Q ) ) @ ( sk__2 @ ( hAPP @ ( c_COMBK @ X2 @ X1 ) @ X0 ) @ t_a @ v_G @ v_c @ v_Q ) ) )
| ( X0
!= ( hAPP @ ( c_COMBK @ X4 @ X3 ) @ c_fFalse ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl1086]) ).
thf(zip_derived_cl200_004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( hAPP @ ( hAPP @ ( c_COMBK @ X1 @ X2 ) @ X0 ) @ X3 )
= X0 ),
inference(cnf,[status(esa)],[help_c__COMBK__1]) ).
thf(zip_derived_cl1905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hBOOL @ ( hAPP @ X0 @ ( sk__2 @ ( hAPP @ ( c_COMBK @ X2 @ X1 ) @ X0 ) @ t_a @ v_G @ v_c @ v_Q ) ) )
| ( X0
!= ( hAPP @ ( c_COMBK @ X4 @ X3 ) @ c_fFalse ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1842,zip_derived_cl200]) ).
thf(zip_derived_cl1913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_COMBK @ X1 @ X0 ) @ c_fFalse ) @ ( sk__2 @ ( hAPP @ ( c_COMBK @ X3 @ X2 ) @ ( hAPP @ ( c_COMBK @ X1 @ X0 ) @ c_fFalse ) ) @ t_a @ v_G @ v_c @ v_Q ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1905]) ).
thf(zip_derived_cl200_005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( hAPP @ ( hAPP @ ( c_COMBK @ X1 @ X2 ) @ X0 ) @ X3 )
= X0 ),
inference(cnf,[status(esa)],[help_c__COMBK__1]) ).
thf(help_c__fFalse__1,axiom,
~ ( hBOOL @ c_fFalse ) ).
thf(zip_derived_cl201,plain,
~ ( hBOOL @ c_fFalse ),
inference(cnf,[status(esa)],[help_c__fFalse__1]) ).
thf(zip_derived_cl1914,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1913,zip_derived_cl200,zip_derived_cl201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW389+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FhcywJ46kz 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 21:34:20 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
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.50/0.61 % Total configuration time : 435
% 0.50/0.61 % Estimated wc time : 1092
% 0.50/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.08/1.60 % Solved by fo/fo4.sh.
% 7.08/1.60 % done 287 iterations in 0.836s
% 7.08/1.60 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.08/1.60 % SZS output start Refutation
% See solution above
% 7.08/1.60
% 7.08/1.60
% 7.08/1.60 % Terminating...
% 7.30/1.64 % Runner terminated.
% 7.30/1.66 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------