TSTP Solution File: SWW474+5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW474+5 : TPTP v8.1.2. Released v5.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VjL4s3gx5h true
% Computer : n015.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 01:42:15 EDT 2023
% Result : Theorem 23.85s 4.10s
% Output : Refutation 23.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 39
% Syntax : Number of formulae : 66 ( 28 unt; 27 typ; 0 def)
% Number of atoms : 58 ( 16 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 1623 ( 19 ~; 12 |; 0 &;1585 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 27 usr; 13 con; 0-4 aty)
% Number of variables : 56 ( 0 ^; 56 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(fun_type,type,
fun: $i > $i > $i ).
thf(dom_type,type,
dom: $i > $i > $i ).
thf(com_type,type,
com: $i ).
thf(wT_bodies_type,type,
wT_bodies: $i ).
thf(y_type,type,
y: $i ).
thf(bot_bot_type,type,
bot_bot: $i > $i ).
thf(body_1_type,type,
body_1: $i ).
thf(combb_type,type,
combb: $i > $i > $i > $i ).
thf(fequal_type,type,
fequal: $i > $i ).
thf(image_type,type,
image: $i > $i > $i ).
thf(ti_type,type,
ti: $i > $i > $i ).
thf(bool_type,type,
bool: $i ).
thf(pn_type,type,
pn: $i ).
thf(option_type,type,
option: $i > $i ).
thf(body_type,type,
body: $i ).
thf(hoare_509422987triple_type,type,
hoare_509422987triple: $i > $i ).
thf(insert_type,type,
insert: $i > $i ).
thf(hoare_1883395792gleton_type,type,
hoare_1883395792gleton: $i ).
thf(state_type,type,
state: $i ).
thf(hoare_Mirabelle_MGT_type,type,
hoare_Mirabelle_MGT: $i ).
thf(pname_type,type,
pname: $i ).
thf(wt_type,type,
wt: $i ).
thf(hoare_122391849derivs_type,type,
hoare_122391849derivs: $i > $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(some_type,type,
some: $i > $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i > $i > $i ).
thf(collect_type,type,
collect: $i > $i ).
thf(conj_7,conjecture,
hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ state ) @ ( hAPP @ ( fun @ pname @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( hAPP @ ( fun @ pname @ ( hoare_509422987triple @ state ) ) @ ( fun @ ( fun @ pname @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) @ ( image @ pname @ ( hoare_509422987triple @ state ) ) @ ( hAPP @ ( fun @ pname @ com ) @ ( fun @ pname @ ( hoare_509422987triple @ state ) ) @ ( hAPP @ ( fun @ com @ ( hoare_509422987triple @ state ) ) @ ( fun @ ( fun @ pname @ com ) @ ( fun @ pname @ ( hoare_509422987triple @ state ) ) ) @ ( combb @ com @ ( hoare_509422987triple @ state ) @ pname ) @ hoare_Mirabelle_MGT ) @ body_1 ) ) @ ( hAPP @ ( fun @ pname @ ( option @ com ) ) @ ( fun @ pname @ bool ) @ ( dom @ pname @ com ) @ body ) ) ) @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( hAPP @ ( hoare_509422987triple @ state ) @ ( fun @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) @ ( insert @ ( hoare_509422987triple @ state ) ) @ ( hAPP @ com @ ( hoare_509422987triple @ state ) @ hoare_Mirabelle_MGT @ y ) ) @ ( bot_bot @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ state ) @ ( hAPP @ ( fun @ pname @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( hAPP @ ( fun @ pname @ ( hoare_509422987triple @ state ) ) @ ( fun @ ( fun @ pname @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) @ ( image @ pname @ ( hoare_509422987triple @ state ) ) @ ( hAPP @ ( fun @ pname @ com ) @ ( fun @ pname @ ( hoare_509422987triple @ state ) ) @ ( hAPP @ ( fun @ com @ ( hoare_509422987triple @ state ) ) @ ( fun @ ( fun @ pname @ com ) @ ( fun @ pname @ ( hoare_509422987triple @ state ) ) ) @ ( combb @ com @ ( hoare_509422987triple @ state ) @ pname ) @ hoare_Mirabelle_MGT ) @ body_1 ) ) @ ( hAPP @ ( fun @ pname @ ( option @ com ) ) @ ( fun @ pname @ bool ) @ ( dom @ pname @ com ) @ body ) ) ) @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( hAPP @ ( hoare_509422987triple @ state ) @ ( fun @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) @ ( insert @ ( hoare_509422987triple @ state ) ) @ ( hAPP @ com @ ( hoare_509422987triple @ state ) @ hoare_Mirabelle_MGT @ y ) ) @ ( bot_bot @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_7]) ).
thf(zip_derived_cl217,plain,
~ ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ state ) @ ( hAPP @ ( fun @ pname @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( hAPP @ ( fun @ pname @ ( hoare_509422987triple @ state ) ) @ ( fun @ ( fun @ pname @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) @ ( image @ pname @ ( hoare_509422987triple @ state ) ) @ ( hAPP @ ( fun @ pname @ com ) @ ( fun @ pname @ ( hoare_509422987triple @ state ) ) @ ( hAPP @ ( fun @ com @ ( hoare_509422987triple @ state ) ) @ ( fun @ ( fun @ pname @ com ) @ ( fun @ pname @ ( hoare_509422987triple @ state ) ) ) @ ( combb @ com @ ( hoare_509422987triple @ state ) @ pname ) @ hoare_Mirabelle_MGT ) @ body_1 ) ) @ ( hAPP @ ( fun @ pname @ ( option @ com ) ) @ ( fun @ pname @ bool ) @ ( dom @ pname @ com ) @ body ) ) ) @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( hAPP @ ( hoare_509422987triple @ state ) @ ( fun @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) @ ( insert @ ( hoare_509422987triple @ state ) ) @ ( hAPP @ com @ ( hoare_509422987triple @ state ) @ hoare_Mirabelle_MGT @ y ) ) @ ( bot_bot @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_90_singleton__conv2,axiom,
! [X_a: $i,A_3: $i] :
( ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ X_a @ bool ) @ ( collect @ X_a ) @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( fequal @ X_a ) @ A_3 ) )
= ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ X_a @ bool ) @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ ( fun @ X_a @ bool ) ) @ ( insert @ X_a ) @ A_3 ) @ ( bot_bot @ ( fun @ X_a @ bool ) ) ) ) ).
thf(zip_derived_cl166,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ ( fun @ X0 @ bool ) @ ( fun @ X0 @ bool ) @ ( collect @ X0 ) @ ( hAPP @ X0 @ ( fun @ X0 @ bool ) @ ( fequal @ X0 ) @ X1 ) )
= ( hAPP @ ( fun @ X0 @ bool ) @ ( fun @ X0 @ bool ) @ ( hAPP @ X0 @ ( fun @ ( fun @ X0 @ bool ) @ ( fun @ X0 @ bool ) ) @ ( insert @ X0 ) @ X1 ) @ ( bot_bot @ ( fun @ X0 @ bool ) ) ) ),
inference(cnf,[status(esa)],[fact_90_singleton__conv2]) ).
thf(fact_77_Collect__def,axiom,
! [X_a: $i,P_1: $i] :
( ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ X_a @ bool ) @ ( collect @ X_a ) @ P_1 )
= ( ti @ ( fun @ X_a @ bool ) @ P_1 ) ) ).
thf(zip_derived_cl146,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ ( fun @ X0 @ bool ) @ ( fun @ X0 @ bool ) @ ( collect @ X0 ) @ X1 )
= ( ti @ ( fun @ X0 @ bool ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_77_Collect__def]) ).
thf(tsy_c_hAPP_res,axiom,
! [X_c: $i,X_a: $i,B_1_1: $i,B_2_1: $i] :
( ( ti @ X_c @ ( hAPP @ X_a @ X_c @ B_1_1 @ B_2_1 ) )
= ( hAPP @ X_a @ X_c @ B_1_1 @ B_2_1 ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ti @ X1 @ ( hAPP @ X0 @ X1 @ X2 @ X3 ) )
= ( hAPP @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[tsy_c_hAPP_res]) ).
thf(zip_derived_cl221,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ X0 @ ( fun @ X0 @ bool ) @ ( fequal @ X0 ) @ X1 )
= ( hAPP @ ( fun @ X0 @ bool ) @ ( fun @ X0 @ bool ) @ ( hAPP @ X0 @ ( fun @ ( fun @ X0 @ bool ) @ ( fun @ X0 @ bool ) ) @ ( insert @ X0 ) @ X1 ) @ ( bot_bot @ ( fun @ X0 @ bool ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl146,zip_derived_cl31]) ).
thf(zip_derived_cl223,plain,
~ ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ state ) @ ( hAPP @ ( fun @ pname @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( hAPP @ ( fun @ pname @ ( hoare_509422987triple @ state ) ) @ ( fun @ ( fun @ pname @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) @ ( image @ pname @ ( hoare_509422987triple @ state ) ) @ ( hAPP @ ( fun @ pname @ com ) @ ( fun @ pname @ ( hoare_509422987triple @ state ) ) @ ( hAPP @ ( fun @ com @ ( hoare_509422987triple @ state ) ) @ ( fun @ ( fun @ pname @ com ) @ ( fun @ pname @ ( hoare_509422987triple @ state ) ) ) @ ( combb @ com @ ( hoare_509422987triple @ state ) @ pname ) @ hoare_Mirabelle_MGT ) @ body_1 ) ) @ ( hAPP @ ( fun @ pname @ ( option @ com ) ) @ ( fun @ pname @ bool ) @ ( dom @ pname @ com ) @ body ) ) ) @ ( hAPP @ ( hoare_509422987triple @ state ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fequal @ ( hoare_509422987triple @ state ) ) @ ( hAPP @ com @ ( hoare_509422987triple @ state ) @ hoare_Mirabelle_MGT @ y ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl217,zip_derived_cl221]) ).
thf(fact_60_image__image,axiom,
! [X_b: $i,X_a: $i,X_c: $i,F: $i,G_1: $i,A_1: $i] :
( ( hAPP @ ( fun @ X_b @ bool ) @ ( fun @ X_a @ bool ) @ ( hAPP @ ( fun @ X_b @ X_a ) @ ( fun @ ( fun @ X_b @ bool ) @ ( fun @ X_a @ bool ) ) @ ( image @ X_b @ X_a ) @ F ) @ ( hAPP @ ( fun @ X_c @ bool ) @ ( fun @ X_b @ bool ) @ ( hAPP @ ( fun @ X_c @ X_b ) @ ( fun @ ( fun @ X_c @ bool ) @ ( fun @ X_b @ bool ) ) @ ( image @ X_c @ X_b ) @ G_1 ) @ A_1 ) )
= ( hAPP @ ( fun @ X_c @ bool ) @ ( fun @ X_a @ bool ) @ ( hAPP @ ( fun @ X_c @ X_a ) @ ( fun @ ( fun @ X_c @ bool ) @ ( fun @ X_a @ bool ) ) @ ( image @ X_c @ X_a ) @ ( hAPP @ ( fun @ X_c @ X_b ) @ ( fun @ X_c @ X_a ) @ ( hAPP @ ( fun @ X_b @ X_a ) @ ( fun @ ( fun @ X_c @ X_b ) @ ( fun @ X_c @ X_a ) ) @ ( combb @ X_b @ X_a @ X_c ) @ F ) @ G_1 ) ) @ A_1 ) ) ).
thf(zip_derived_cl118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( hAPP @ ( fun @ X2 @ bool ) @ ( fun @ X1 @ bool ) @ ( hAPP @ ( fun @ X2 @ X1 ) @ ( fun @ ( fun @ X2 @ bool ) @ ( fun @ X1 @ bool ) ) @ ( image @ X2 @ X1 ) @ X3 ) @ ( hAPP @ ( fun @ X0 @ bool ) @ ( fun @ X2 @ bool ) @ ( hAPP @ ( fun @ X0 @ X2 ) @ ( fun @ ( fun @ X0 @ bool ) @ ( fun @ X2 @ bool ) ) @ ( image @ X0 @ X2 ) @ X4 ) @ X5 ) )
= ( hAPP @ ( fun @ X0 @ bool ) @ ( fun @ X1 @ bool ) @ ( hAPP @ ( fun @ X0 @ X1 ) @ ( fun @ ( fun @ X0 @ bool ) @ ( fun @ X1 @ bool ) ) @ ( image @ X0 @ X1 ) @ ( hAPP @ ( fun @ X0 @ X2 ) @ ( fun @ X0 @ X1 ) @ ( hAPP @ ( fun @ X2 @ X1 ) @ ( fun @ ( fun @ X0 @ X2 ) @ ( fun @ X0 @ X1 ) ) @ ( combb @ X2 @ X1 @ X0 ) @ X3 ) @ X4 ) ) @ X5 ) ),
inference(cnf,[status(esa)],[fact_60_image__image]) ).
thf(zip_derived_cl248,plain,
~ ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ state ) @ ( hAPP @ ( fun @ com @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( hAPP @ ( fun @ com @ ( hoare_509422987triple @ state ) ) @ ( fun @ ( fun @ com @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) @ ( image @ com @ ( hoare_509422987triple @ state ) ) @ hoare_Mirabelle_MGT ) @ ( hAPP @ ( fun @ pname @ bool ) @ ( fun @ com @ bool ) @ ( hAPP @ ( fun @ pname @ com ) @ ( fun @ ( fun @ pname @ bool ) @ ( fun @ com @ bool ) ) @ ( image @ pname @ com ) @ body_1 ) @ ( hAPP @ ( fun @ pname @ ( option @ com ) ) @ ( fun @ pname @ bool ) @ ( dom @ pname @ com ) @ body ) ) ) ) @ ( hAPP @ ( hoare_509422987triple @ state ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fequal @ ( hoare_509422987triple @ state ) ) @ ( hAPP @ com @ ( hoare_509422987triple @ state ) @ hoare_Mirabelle_MGT @ y ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl118]) ).
thf(fact_4_cut,axiom,
! [X_a: $i,G: $i,G_2: $i,Ts: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X_a ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X_a ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ X_a ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ X_a ) @ G_2 ) @ Ts ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X_a ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X_a ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ X_a ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ X_a ) @ G ) @ G_2 ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X_a ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X_a ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ X_a ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ X_a ) @ G ) @ Ts ) ) ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X0 ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X0 ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ X0 ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ X0 ) @ X1 ) @ X2 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X0 ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X0 ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ X0 ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ X0 ) @ X2 ) @ X3 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X0 ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X0 ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ X0 ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ X0 ) @ X1 ) @ X3 ) ) ),
inference(cnf,[status(esa)],[fact_4_cut]) ).
thf(zip_derived_cl5294,plain,
! [X0: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ state ) @ ( hAPP @ ( fun @ com @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( hAPP @ ( fun @ com @ ( hoare_509422987triple @ state ) ) @ ( fun @ ( fun @ com @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) @ ( image @ com @ ( hoare_509422987triple @ state ) ) @ hoare_Mirabelle_MGT ) @ ( hAPP @ ( fun @ pname @ bool ) @ ( fun @ com @ bool ) @ ( hAPP @ ( fun @ pname @ com ) @ ( fun @ ( fun @ pname @ bool ) @ ( fun @ com @ bool ) ) @ ( image @ pname @ com ) @ body_1 ) @ ( hAPP @ ( fun @ pname @ ( option @ com ) ) @ ( fun @ pname @ bool ) @ ( dom @ pname @ com ) @ body ) ) ) ) @ X0 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ state ) @ X0 ) @ ( hAPP @ ( hoare_509422987triple @ state ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fequal @ ( hoare_509422987triple @ state ) ) @ ( hAPP @ com @ ( hoare_509422987triple @ state ) @ hoare_Mirabelle_MGT @ y ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl248,zip_derived_cl42]) ).
thf(fact_0_empty,axiom,
! [X_a: $i,G: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X_a ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X_a ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ X_a ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ X_a ) @ G ) @ ( bot_bot @ ( fun @ ( hoare_509422987triple @ X_a ) @ bool ) ) ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X0 ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X0 ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ X0 ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ X0 ) @ X1 ) @ ( bot_bot @ ( fun @ ( hoare_509422987triple @ X0 ) @ bool ) ) ) ),
inference(cnf,[status(esa)],[fact_0_empty]) ).
thf(zip_derived_cl5310,plain,
~ ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ state ) @ ( bot_bot @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) ) @ ( hAPP @ ( hoare_509422987triple @ state ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fequal @ ( hoare_509422987triple @ state ) ) @ ( hAPP @ com @ ( hoare_509422987triple @ state ) @ hoare_Mirabelle_MGT @ y ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5294,zip_derived_cl38]) ).
thf(fact_19_MGF,axiom,
! [C_1: $i] :
( ( hBOOL @ hoare_1883395792gleton )
=> ( ( hBOOL @ wT_bodies )
=> ( ( hBOOL @ ( hAPP @ com @ bool @ wt @ C_1 ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ state ) @ ( bot_bot @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( hAPP @ ( hoare_509422987triple @ state ) @ ( fun @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) @ ( insert @ ( hoare_509422987triple @ state ) ) @ ( hAPP @ com @ ( hoare_509422987triple @ state ) @ hoare_Mirabelle_MGT @ C_1 ) ) @ ( bot_bot @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl60,plain,
! [X0: $i] :
( ~ ( hBOOL @ wT_bodies )
| ~ ( hBOOL @ hoare_1883395792gleton )
| ~ ( hBOOL @ ( hAPP @ com @ bool @ wt @ X0 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ state ) @ ( bot_bot @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( hAPP @ ( hoare_509422987triple @ state ) @ ( fun @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) @ ( insert @ ( hoare_509422987triple @ state ) ) @ ( hAPP @ com @ ( hoare_509422987triple @ state ) @ hoare_Mirabelle_MGT @ X0 ) ) @ ( bot_bot @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_19_MGF]) ).
thf(conj_1,axiom,
hBOOL @ wT_bodies ).
thf(zip_derived_cl211,plain,
hBOOL @ wT_bodies,
inference(cnf,[status(esa)],[conj_1]) ).
thf(conj_0,axiom,
hBOOL @ hoare_1883395792gleton ).
thf(zip_derived_cl210,plain,
hBOOL @ hoare_1883395792gleton,
inference(cnf,[status(esa)],[conj_0]) ).
thf(zip_derived_cl220,plain,
! [X0: $i] :
( ~ ( hBOOL @ ( hAPP @ com @ bool @ wt @ X0 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ state ) @ ( bot_bot @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( hAPP @ ( hoare_509422987triple @ state ) @ ( fun @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) @ ( insert @ ( hoare_509422987triple @ state ) ) @ ( hAPP @ com @ ( hoare_509422987triple @ state ) @ hoare_Mirabelle_MGT @ X0 ) ) @ ( bot_bot @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl211,zip_derived_cl210]) ).
thf(zip_derived_cl221_001,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ X0 @ ( fun @ X0 @ bool ) @ ( fequal @ X0 ) @ X1 )
= ( hAPP @ ( fun @ X0 @ bool ) @ ( fun @ X0 @ bool ) @ ( hAPP @ X0 @ ( fun @ ( fun @ X0 @ bool ) @ ( fun @ X0 @ bool ) ) @ ( insert @ X0 ) @ X1 ) @ ( bot_bot @ ( fun @ X0 @ bool ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl146,zip_derived_cl31]) ).
thf(zip_derived_cl224,plain,
! [X0: $i] :
( ~ ( hBOOL @ ( hAPP @ com @ bool @ wt @ X0 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ state ) @ ( bot_bot @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) ) ) @ ( hAPP @ ( hoare_509422987triple @ state ) @ ( fun @ ( hoare_509422987triple @ state ) @ bool ) @ ( fequal @ ( hoare_509422987triple @ state ) ) @ ( hAPP @ com @ ( hoare_509422987triple @ state ) @ hoare_Mirabelle_MGT @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl221]) ).
thf(zip_derived_cl5365,plain,
~ ( hBOOL @ ( hAPP @ com @ bool @ wt @ y ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5310,zip_derived_cl224]) ).
thf(conj_5,axiom,
( ( hAPP @ pname @ ( option @ com ) @ body @ pn )
= ( hAPP @ com @ ( option @ com ) @ ( some @ com ) @ y ) ) ).
thf(zip_derived_cl215,plain,
( ( hAPP @ pname @ ( option @ com ) @ body @ pn )
= ( hAPP @ com @ ( option @ com ) @ ( some @ com ) @ y ) ),
inference(cnf,[status(esa)],[conj_5]) ).
thf(fact_92_WT__bodiesD,axiom,
! [Pn: $i,B_2: $i] :
( ( hBOOL @ wT_bodies )
=> ( ( ( hAPP @ pname @ ( option @ com ) @ body @ Pn )
= ( hAPP @ com @ ( option @ com ) @ ( some @ com ) @ B_2 ) )
=> ( hBOOL @ ( hAPP @ com @ bool @ wt @ B_2 ) ) ) ) ).
thf(zip_derived_cl169,plain,
! [X0: $i,X1: $i] :
( ~ ( hBOOL @ wT_bodies )
| ( hBOOL @ ( hAPP @ com @ bool @ wt @ X0 ) )
| ( ( hAPP @ pname @ ( option @ com ) @ body @ X1 )
!= ( hAPP @ com @ ( option @ com ) @ ( some @ com ) @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_92_WT__bodiesD]) ).
thf(zip_derived_cl211_002,plain,
hBOOL @ wT_bodies,
inference(cnf,[status(esa)],[conj_1]) ).
thf(zip_derived_cl218,plain,
! [X0: $i,X1: $i] :
( ( hBOOL @ ( hAPP @ com @ bool @ wt @ X0 ) )
| ( ( hAPP @ pname @ ( option @ com ) @ body @ X1 )
!= ( hAPP @ com @ ( option @ com ) @ ( some @ com ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl211]) ).
thf(zip_derived_cl543,plain,
! [X0: $i] :
( ( hBOOL @ ( hAPP @ com @ bool @ wt @ y ) )
| ( ( hAPP @ pname @ ( option @ com ) @ body @ X0 )
!= ( hAPP @ pname @ ( option @ com ) @ body @ pn ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl215,zip_derived_cl218]) ).
thf(zip_derived_cl1256,plain,
hBOOL @ ( hAPP @ com @ bool @ wt @ y ),
inference(eq_res,[status(thm)],[zip_derived_cl543]) ).
thf(zip_derived_cl5374,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl5365,zip_derived_cl1256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWW474+5 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VjL4s3gx5h true
% 0.14/0.37 % Computer : n015.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Sun Aug 27 23:04:09 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.24/0.66 % Total configuration time : 435
% 0.24/0.66 % Estimated wc time : 1092
% 0.24/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.24/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.24/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.24/0.78 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.24/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.24/0.82 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.24/0.83 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.24/0.85 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 23.85/4.10 % Solved by fo/fo13.sh.
% 23.85/4.10 % done 290 iterations in 3.256s
% 23.85/4.10 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 23.85/4.10 % SZS output start Refutation
% See solution above
% 23.85/4.10
% 23.85/4.10
% 23.85/4.10 % Terminating...
% 24.35/4.19 % Runner terminated.
% 24.35/4.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------