TSTP Solution File: SWW318+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW318+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.UQk0CvwMKZ 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 01:41:33 EDT 2023
% Result : Theorem 26.49s 4.42s
% Output : Refutation 26.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 30
% Syntax : Number of formulae : 49 ( 14 unt; 21 typ; 0 def)
% Number of atoms : 46 ( 12 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 481 ( 15 ~; 12 |; 0 &; 448 @)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 10 con; 0-3 aty)
% Number of variables : 58 ( 0 ^; 58 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_pn_type,type,
v_pn: $i ).
thf(v_Q_type,type,
v_Q: $i ).
thf(c_Set_Oinsert_type,type,
c_Set_Oinsert: $i > $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(c_Hoare__Mirabelle_Ohoare__derivs_type,type,
c_Hoare__Mirabelle_Ohoare__derivs: $i > $i > $i > $o ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(c_Orderings_Obot__class_Obot_type,type,
c_Orderings_Obot__class_Obot: $i > $i ).
thf(v_P_type,type,
v_P: $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(c_Com_Obody_type,type,
c_Com_Obody: $i ).
thf(tc_Hoare__Mirabelle_Otriple_type,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
thf(c_Option_Othe_type,type,
c_Option_Othe: $i > $i ).
thf(tc_Com_Ocom_type,type,
tc_Com_Ocom: $i ).
thf(sk__9_type,type,
sk__9: $i > $i > $i ).
thf(c_Orderings_Oord__class_Oless__eq_type,type,
c_Orderings_Oord__class_Oless__eq: $i > $i ).
thf(v_G_type,type,
v_G: $i ).
thf(c_member_type,type,
c_member: $i > $i ).
thf(t_a_type,type,
t_a: $i ).
thf(c_Com_Ocom_OBODY_type,type,
c_Com_Ocom_OBODY: $i ).
thf(tc_fun_type,type,
tc_fun: $i > $i > $i ).
thf(conj_0,axiom,
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 ) @ v_P ) @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) ) @ v_Q ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ).
thf(zip_derived_cl175,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 ) @ v_P ) @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) ) @ v_Q ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(fact_subset__insertI,axiom,
! [V_a_2: $i,V_B_2: $i,T_b: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) @ V_B_2 ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ T_b ) @ V_a_2 ) @ V_B_2 ) ) ) ).
thf(zip_derived_cl71,plain,
! [X0: $i,X1: $i,X2: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ X1 ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X0 ) @ X2 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_subset__insertI]) ).
thf(fact_thin,axiom,
! [V_Ga_2: $i,V_ts_2: $i,V_G_H_2: $i,T_b: $i] :
( ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_G_H_2 @ V_ts_2 )
=> ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) @ tc_HOL_Obool ) ) @ V_G_H_2 ) @ V_Ga_2 ) )
=> ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_Ga_2 @ V_ts_2 ) ) ) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) @ tc_HOL_Obool ) ) @ X1 ) @ X2 ) )
| ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X2 @ X3 )
| ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[fact_thin]) ).
thf(zip_derived_cl5631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ X2 @ X0 @ X3 )
| ( c_Hoare__Mirabelle_Ohoare__derivs @ X2 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X2 ) ) @ X1 ) @ X0 ) @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl72]) ).
thf(fact_all__not__in__conv,axiom,
! [V_A_2: $i,T_b: $i] :
( ! [B_x: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ B_x ) @ V_A_2 ) )
<=> ( V_A_2
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) ) ) ).
thf(zip_derived_cl100,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ ( sk__9 @ X0 @ X1 ) ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_all__not__in__conv]) ).
thf(fact_insert__absorb,axiom,
! [V_A_2: $i,V_a_2: $i,T_b: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_a_2 ) @ V_A_2 ) )
=> ( ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ T_b ) @ V_a_2 ) @ V_A_2 )
= V_A_2 ) ) ).
thf(zip_derived_cl113,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_cl1287,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X1 @ tc_HOL_Obool ) ) )
| ( ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X1 ) @ ( sk__9 @ X1 @ X0 ) ) @ X0 )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl113]) ).
thf(fact_insert__code,axiom,
! [V_x_2: $i,V_A_2: $i,V_y_2: $i,T_b: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ T_b ) @ 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_cl27,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_cl1324,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hBOOL @ ( hAPP @ X0 @ X1 ) )
| ( X0
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X2 @ tc_HOL_Obool ) ) )
| ( ( sk__9 @ X2 @ X0 )
!= X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1287,zip_derived_cl27]) ).
thf(zip_derived_cl1368,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X1 @ tc_HOL_Obool ) ) )
| ( hBOOL @ ( hAPP @ X0 @ ( sk__9 @ X1 @ X0 ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1324]) ).
thf(fact_bot__empty__eq,axiom,
! [V_x_2: $i,T_b: $i] :
( ( hBOOL @ ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) @ V_x_2 ) )
<=> ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_x_2 ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) ) ) ) ).
thf(zip_derived_cl138,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_b: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_a_2 ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) ) ) ).
thf(zip_derived_cl96,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_cl975,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_cl138,zip_derived_cl96]) ).
thf(zip_derived_cl1386,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_cl1368,zip_derived_cl975]) ).
thf(conj_1,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ ( hAPP @ c_Com_Ocom_OBODY @ v_pn ) ) @ v_Q ) ) @ v_G ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) ) @ 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 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ ( hAPP @ c_Com_Ocom_OBODY @ v_pn ) ) @ v_Q ) ) @ v_G ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) ) @ v_Q ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_1]) ).
thf(zip_derived_cl176,plain,
~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ ( hAPP @ c_Com_Ocom_OBODY @ v_pn ) ) @ v_Q ) ) @ v_G ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) ) @ 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_cl1439,plain,
! [X0: $i] :
~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ ( hAPP @ c_Com_Ocom_OBODY @ v_pn ) ) @ v_Q ) ) @ v_G ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) ) @ v_Q ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1386,zip_derived_cl176]) ).
thf(zip_derived_cl14269,plain,
! [X0: $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 ) @ v_P ) @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) ) @ v_Q ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5631,zip_derived_cl1439]) ).
thf(zip_derived_cl14326,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl175,zip_derived_cl14269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW318+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UQk0CvwMKZ true
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 21:35:54 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 26.49/4.42 % Solved by fo/fo4.sh.
% 26.49/4.42 % done 1550 iterations in 3.634s
% 26.49/4.42 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 26.49/4.42 % SZS output start Refutation
% See solution above
% 26.49/4.42
% 26.49/4.42
% 26.49/4.42 % Terminating...
% 26.96/4.47 % Runner terminated.
% 26.96/4.49 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------