TSTP Solution File: SWW470+5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW470+5 : TPTP v8.1.2. Released v5.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vnMubNgACO true
% Computer : n013.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 01:42:04 EDT 2023
% Result : Theorem 45.98s 7.14s
% Output : Refutation 45.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 37
% Syntax : Number of formulae : 56 ( 23 unt; 28 typ; 0 def)
% Number of atoms : 34 ( 15 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 2409 ( 5 ~; 4 |; 0 &;2398 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 37 ( 37 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 28 usr; 12 con; 0-5 aty)
% Number of variables : 67 ( 0 ^; 67 !; 0 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
thf(fun_type,type,
fun: $i > $i > $i ).
thf(b_type,type,
b: $i ).
thf(collect_type,type,
collect: $i > $i ).
thf(combc_type,type,
combc: $i > $i > $i > $i ).
thf(fconj_type,type,
fconj: $i ).
thf(bool_type,type,
bool: $i ).
thf(combs_type,type,
combs: $i > $i > $i > $i ).
thf(fFalse_type,type,
fFalse: $i ).
thf(p_type,type,
p: $i ).
thf(c_type,type,
c: $i ).
thf(fNot_type,type,
fNot: $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i > $i > $i ).
thf(combb_type,type,
combb: $i > $i > $i > $i ).
thf(ti_type,type,
ti: $i > $i > $i ).
thf(state_type,type,
state: $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i > $i > $i > $i ).
thf(g_type,type,
g: $i ).
thf(bot_bot_type,type,
bot_bot: $i > $i ).
thf(com_type,type,
com: $i ).
thf(hoare_1008221573triple_type,type,
hoare_1008221573triple: $i > $i ).
thf(x_a_type,type,
x_a: $i ).
thf(combk_type,type,
combk: $i > $i > $i ).
thf(fequal_type,type,
fequal: $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i > $i > $i > $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(hoare_122391849derivs_type,type,
hoare_122391849derivs: $i > $i ).
thf(insert_type,type,
insert: $i > $i ).
thf(hoare_509422987triple_type,type,
hoare_509422987triple: $i > $i ).
thf(help_COMBK_1_1_U,axiom,
! [X_b: $i,X_a: $i,P: $i,Q: $i] :
( ( hAPP @ X_b @ X_a @ ( hAPP @ X_a @ ( fun @ X_b @ X_a ) @ ( combk @ X_a @ X_b ) @ P ) @ Q )
= ( ti @ X_a @ P ) ) ).
thf(zip_derived_cl221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( hAPP @ X2 @ X0 @ ( hAPP @ X0 @ ( fun @ X2 @ X0 ) @ ( combk @ X0 @ X2 ) @ X1 ) @ X3 )
= ( ti @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[help_COMBK_1_1_U]) ).
thf(fact_5_escape,axiom,
! [X_b: $i,Ga: $i,Ca: $i,Q_1: $i,Pa: $i] :
( ! [Z_1: $i,S: $i] :
( ( hBOOL @ ( hAPP @ state @ bool @ ( hAPP @ X_b @ ( fun @ state @ bool ) @ Pa @ Z_1 ) @ S ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X_b ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X_b ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ X_b ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ X_b ) @ Ga ) @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X_b ) @ bool ) @ ( fun @ ( hoare_509422987triple @ X_b ) @ bool ) @ ( hAPP @ ( hoare_509422987triple @ X_b ) @ ( fun @ ( fun @ ( hoare_509422987triple @ X_b ) @ bool ) @ ( fun @ ( hoare_509422987triple @ X_b ) @ bool ) ) @ ( insert @ ( hoare_509422987triple @ X_b ) ) @ ( hAPP @ ( fun @ X_b @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ X_b ) @ ( hAPP @ com @ ( fun @ ( fun @ X_b @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ X_b ) ) @ ( hAPP @ ( fun @ X_b @ ( fun @ state @ bool ) ) @ ( fun @ com @ ( fun @ ( fun @ X_b @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ X_b ) ) ) @ ( hoare_1008221573triple @ X_b ) @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ X_b @ ( fun @ state @ bool ) ) @ ( combk @ ( fun @ state @ bool ) @ X_b ) @ ( hAPP @ state @ ( fun @ state @ bool ) @ ( hAPP @ ( fun @ state @ ( fun @ state @ bool ) ) @ ( fun @ state @ ( fun @ state @ bool ) ) @ ( combc @ state @ state @ bool ) @ ( fequal @ state ) ) @ S ) ) ) @ Ca ) @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ X_b @ ( fun @ state @ bool ) ) @ ( combk @ ( fun @ state @ bool ) @ X_b ) @ ( hAPP @ X_b @ ( fun @ state @ bool ) @ Q_1 @ Z_1 ) ) ) ) @ ( bot_bot @ ( fun @ ( hoare_509422987triple @ X_b ) @ bool ) ) ) ) ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X_b ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X_b ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ X_b ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ X_b ) @ Ga ) @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X_b ) @ bool ) @ ( fun @ ( hoare_509422987triple @ X_b ) @ bool ) @ ( hAPP @ ( hoare_509422987triple @ X_b ) @ ( fun @ ( fun @ ( hoare_509422987triple @ X_b ) @ bool ) @ ( fun @ ( hoare_509422987triple @ X_b ) @ bool ) ) @ ( insert @ ( hoare_509422987triple @ X_b ) ) @ ( hAPP @ ( fun @ X_b @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ X_b ) @ ( hAPP @ com @ ( fun @ ( fun @ X_b @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ X_b ) ) @ ( hAPP @ ( fun @ X_b @ ( fun @ state @ bool ) ) @ ( fun @ com @ ( fun @ ( fun @ X_b @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ X_b ) ) ) @ ( hoare_1008221573triple @ X_b ) @ Pa ) @ Ca ) @ Q_1 ) ) @ ( bot_bot @ ( fun @ ( hoare_509422987triple @ X_b ) @ bool ) ) ) ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $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 ) @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X0 ) @ bool ) @ ( fun @ ( hoare_509422987triple @ X0 ) @ bool ) @ ( hAPP @ ( hoare_509422987triple @ X0 ) @ ( fun @ ( fun @ ( hoare_509422987triple @ X0 ) @ bool ) @ ( fun @ ( hoare_509422987triple @ X0 ) @ bool ) ) @ ( insert @ ( hoare_509422987triple @ X0 ) ) @ ( hAPP @ ( fun @ X0 @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ X0 ) @ ( hAPP @ com @ ( fun @ ( fun @ X0 @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ X0 ) ) @ ( hAPP @ ( fun @ X0 @ ( fun @ state @ bool ) ) @ ( fun @ com @ ( fun @ ( fun @ X0 @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ X0 ) ) ) @ ( hoare_1008221573triple @ X0 ) @ X2 ) @ X3 ) @ X4 ) ) @ ( bot_bot @ ( fun @ ( hoare_509422987triple @ X0 ) @ bool ) ) ) ) )
| ( hBOOL @ ( hAPP @ state @ bool @ ( hAPP @ X0 @ ( fun @ state @ bool ) @ X2 @ ( sk_ @ X2 @ X4 @ X3 @ X1 @ X0 ) ) @ ( sk__1 @ X2 @ X4 @ X3 @ X1 @ X0 ) ) ) ),
inference(cnf,[status(esa)],[fact_5_escape]) ).
thf(zip_derived_cl974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X1 ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X1 ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ X1 ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ X1 ) @ X2 ) @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X1 ) @ bool ) @ ( fun @ ( hoare_509422987triple @ X1 ) @ bool ) @ ( hAPP @ ( hoare_509422987triple @ X1 ) @ ( fun @ ( fun @ ( hoare_509422987triple @ X1 ) @ bool ) @ ( fun @ ( hoare_509422987triple @ X1 ) @ bool ) ) @ ( insert @ ( hoare_509422987triple @ X1 ) ) @ ( hAPP @ ( fun @ X1 @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ X1 ) @ ( hAPP @ com @ ( fun @ ( fun @ X1 @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ X1 ) ) @ ( hAPP @ ( fun @ X1 @ ( fun @ state @ bool ) ) @ ( fun @ com @ ( fun @ ( fun @ X1 @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ X1 ) ) ) @ ( hoare_1008221573triple @ X1 ) @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ X1 @ ( fun @ state @ bool ) ) @ ( combk @ ( fun @ state @ bool ) @ X1 ) @ X0 ) ) @ X3 ) @ X4 ) ) @ ( bot_bot @ ( fun @ ( hoare_509422987triple @ X1 ) @ bool ) ) ) ) )
| ( hBOOL @ ( hAPP @ state @ bool @ ( ti @ ( fun @ state @ bool ) @ X0 ) @ ( sk__1 @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ X1 @ ( fun @ state @ bool ) ) @ ( combk @ ( fun @ state @ bool ) @ X1 ) @ X0 ) @ X4 @ X3 @ X2 @ X1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl221,zip_derived_cl49]) ).
thf(tsy_c_hAPP_arg1,axiom,
! [X_a: $i,X_c: $i,B_1_1: $i,B_2: $i] :
( ( hAPP @ X_a @ X_c @ ( ti @ ( fun @ X_a @ X_c ) @ B_1_1 ) @ B_2 )
= ( hAPP @ X_a @ X_c @ B_1_1 @ B_2 ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( hAPP @ X0 @ X1 @ ( ti @ ( fun @ X0 @ X1 ) @ X2 ) @ X3 )
= ( hAPP @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[tsy_c_hAPP_arg1]) ).
thf(zip_derived_cl980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X1 ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X1 ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ X1 ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ X1 ) @ X2 ) @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X1 ) @ bool ) @ ( fun @ ( hoare_509422987triple @ X1 ) @ bool ) @ ( hAPP @ ( hoare_509422987triple @ X1 ) @ ( fun @ ( fun @ ( hoare_509422987triple @ X1 ) @ bool ) @ ( fun @ ( hoare_509422987triple @ X1 ) @ bool ) ) @ ( insert @ ( hoare_509422987triple @ X1 ) ) @ ( hAPP @ ( fun @ X1 @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ X1 ) @ ( hAPP @ com @ ( fun @ ( fun @ X1 @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ X1 ) ) @ ( hAPP @ ( fun @ X1 @ ( fun @ state @ bool ) ) @ ( fun @ com @ ( fun @ ( fun @ X1 @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ X1 ) ) ) @ ( hoare_1008221573triple @ X1 ) @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ X1 @ ( fun @ state @ bool ) ) @ ( combk @ ( fun @ state @ bool ) @ X1 ) @ X0 ) ) @ X3 ) @ X4 ) ) @ ( bot_bot @ ( fun @ ( hoare_509422987triple @ X1 ) @ bool ) ) ) ) )
| ( hBOOL @ ( hAPP @ state @ bool @ X0 @ ( sk__1 @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ X1 @ ( fun @ state @ bool ) ) @ ( combk @ ( fun @ state @ bool ) @ X1 ) @ X0 ) @ X4 @ X3 @ X2 @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl974,zip_derived_cl29]) ).
thf(fact_12_singleton__conv2,axiom,
! [X_b: $i,A_4: $i] :
( ( hAPP @ ( fun @ X_b @ bool ) @ ( fun @ X_b @ bool ) @ ( collect @ X_b ) @ ( hAPP @ X_b @ ( fun @ X_b @ bool ) @ ( fequal @ X_b ) @ A_4 ) )
= ( hAPP @ ( fun @ X_b @ bool ) @ ( fun @ X_b @ bool ) @ ( hAPP @ X_b @ ( fun @ ( fun @ X_b @ bool ) @ ( fun @ X_b @ bool ) ) @ ( insert @ X_b ) @ A_4 ) @ ( bot_bot @ ( fun @ X_b @ bool ) ) ) ) ).
thf(zip_derived_cl61,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_12_singleton__conv2]) ).
thf(fact_77_Collect__def,axiom,
! [X_b: $i,Pa: $i] :
( ( hAPP @ ( fun @ X_b @ bool ) @ ( fun @ X_b @ bool ) @ ( collect @ X_b ) @ Pa )
= ( ti @ ( fun @ X_b @ bool ) @ Pa ) ) ).
thf(zip_derived_cl160,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: $i] :
( ( ti @ X_c @ ( hAPP @ X_a @ X_c @ B_1_1 @ B_2 ) )
= ( hAPP @ X_a @ X_c @ B_1_1 @ B_2 ) ) ).
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_cl1409,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_cl61,zip_derived_cl160,zip_derived_cl31]) ).
thf(zip_derived_cl14914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X1 ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( hoare_509422987triple @ X1 ) @ bool ) @ ( fun @ ( fun @ ( hoare_509422987triple @ X1 ) @ bool ) @ bool ) @ ( hoare_122391849derivs @ X1 ) @ X2 ) @ ( hAPP @ ( hoare_509422987triple @ X1 ) @ ( fun @ ( hoare_509422987triple @ X1 ) @ bool ) @ ( fequal @ ( hoare_509422987triple @ X1 ) ) @ ( hAPP @ ( fun @ X1 @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ X1 ) @ ( hAPP @ com @ ( fun @ ( fun @ X1 @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ X1 ) ) @ ( hAPP @ ( fun @ X1 @ ( fun @ state @ bool ) ) @ ( fun @ com @ ( fun @ ( fun @ X1 @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ X1 ) ) ) @ ( hoare_1008221573triple @ X1 ) @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ X1 @ ( fun @ state @ bool ) ) @ ( combk @ ( fun @ state @ bool ) @ X1 ) @ X0 ) ) @ X3 ) @ X4 ) ) ) )
| ( hBOOL @ ( hAPP @ state @ bool @ X0 @ ( sk__1 @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ X1 @ ( fun @ state @ bool ) ) @ ( combk @ ( fun @ state @ bool ) @ X1 ) @ X0 ) @ X4 @ X3 @ X2 @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl980,zip_derived_cl1409]) ).
thf(conj_0,conjecture,
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 ) @ ( hAPP @ ( fun @ ( hoare_509422987triple @ x_a ) @ bool ) @ ( fun @ ( hoare_509422987triple @ x_a ) @ bool ) @ ( hAPP @ ( hoare_509422987triple @ x_a ) @ ( fun @ ( fun @ ( hoare_509422987triple @ x_a ) @ bool ) @ ( fun @ ( hoare_509422987triple @ x_a ) @ bool ) ) @ ( insert @ ( hoare_509422987triple @ x_a ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ x_a ) @ ( hAPP @ com @ ( fun @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ x_a ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( fun @ com @ ( fun @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ x_a ) ) ) @ ( hoare_1008221573triple @ x_a ) @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( combk @ ( fun @ state @ bool ) @ x_a ) @ ( hAPP @ bool @ ( fun @ state @ bool ) @ ( combk @ bool @ state ) @ fFalse ) ) ) @ c ) @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ x_a @ ( fun @ state @ bool ) ) ) @ ( combc @ x_a @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( fun @ x_a @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ state @ ( fun @ bool @ bool ) ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) ) @ ( fun @ ( fun @ x_a @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( fun @ x_a @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) ) ) @ ( combb @ ( fun @ state @ ( fun @ bool @ bool ) ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) @ x_a ) @ ( combs @ state @ bool @ bool ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( fun @ x_a @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( fun @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( fun @ x_a @ ( fun @ state @ ( fun @ bool @ bool ) ) ) ) @ ( combb @ ( fun @ state @ bool ) @ ( fun @ state @ ( fun @ bool @ bool ) ) @ x_a ) @ ( hAPP @ ( fun @ bool @ ( fun @ bool @ bool ) ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( combb @ bool @ ( fun @ bool @ bool ) @ state ) @ fconj ) ) @ p ) ) ) @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) @ ( hAPP @ ( fun @ bool @ bool ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) @ ( combb @ bool @ bool @ state ) @ fNot ) @ b ) ) ) ) @ ( bot_bot @ ( fun @ ( hoare_509422987triple @ x_a ) @ bool ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( 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 ) @ ( hAPP @ ( fun @ ( hoare_509422987triple @ x_a ) @ bool ) @ ( fun @ ( hoare_509422987triple @ x_a ) @ bool ) @ ( hAPP @ ( hoare_509422987triple @ x_a ) @ ( fun @ ( fun @ ( hoare_509422987triple @ x_a ) @ bool ) @ ( fun @ ( hoare_509422987triple @ x_a ) @ bool ) ) @ ( insert @ ( hoare_509422987triple @ x_a ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ x_a ) @ ( hAPP @ com @ ( fun @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ x_a ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( fun @ com @ ( fun @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ x_a ) ) ) @ ( hoare_1008221573triple @ x_a ) @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( combk @ ( fun @ state @ bool ) @ x_a ) @ ( hAPP @ bool @ ( fun @ state @ bool ) @ ( combk @ bool @ state ) @ fFalse ) ) ) @ c ) @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ x_a @ ( fun @ state @ bool ) ) ) @ ( combc @ x_a @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( fun @ x_a @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ state @ ( fun @ bool @ bool ) ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) ) @ ( fun @ ( fun @ x_a @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( fun @ x_a @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) ) ) @ ( combb @ ( fun @ state @ ( fun @ bool @ bool ) ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) @ x_a ) @ ( combs @ state @ bool @ bool ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( fun @ x_a @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( fun @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( fun @ x_a @ ( fun @ state @ ( fun @ bool @ bool ) ) ) ) @ ( combb @ ( fun @ state @ bool ) @ ( fun @ state @ ( fun @ bool @ bool ) ) @ x_a ) @ ( hAPP @ ( fun @ bool @ ( fun @ bool @ bool ) ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( combb @ bool @ ( fun @ bool @ bool ) @ state ) @ fconj ) ) @ p ) ) ) @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) @ ( hAPP @ ( fun @ bool @ bool ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) @ ( combb @ bool @ bool @ state ) @ fNot ) @ b ) ) ) ) @ ( bot_bot @ ( fun @ ( hoare_509422987triple @ x_a ) @ bool ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl236,plain,
~ ( 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 ) @ ( hAPP @ ( fun @ ( hoare_509422987triple @ x_a ) @ bool ) @ ( fun @ ( hoare_509422987triple @ x_a ) @ bool ) @ ( hAPP @ ( hoare_509422987triple @ x_a ) @ ( fun @ ( fun @ ( hoare_509422987triple @ x_a ) @ bool ) @ ( fun @ ( hoare_509422987triple @ x_a ) @ bool ) ) @ ( insert @ ( hoare_509422987triple @ x_a ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ x_a ) @ ( hAPP @ com @ ( fun @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ x_a ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( fun @ com @ ( fun @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ x_a ) ) ) @ ( hoare_1008221573triple @ x_a ) @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( combk @ ( fun @ state @ bool ) @ x_a ) @ ( hAPP @ bool @ ( fun @ state @ bool ) @ ( combk @ bool @ state ) @ fFalse ) ) ) @ c ) @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ x_a @ ( fun @ state @ bool ) ) ) @ ( combc @ x_a @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( fun @ x_a @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ state @ ( fun @ bool @ bool ) ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) ) @ ( fun @ ( fun @ x_a @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( fun @ x_a @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) ) ) @ ( combb @ ( fun @ state @ ( fun @ bool @ bool ) ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) @ x_a ) @ ( combs @ state @ bool @ bool ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( fun @ x_a @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( fun @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( fun @ x_a @ ( fun @ state @ ( fun @ bool @ bool ) ) ) ) @ ( combb @ ( fun @ state @ bool ) @ ( fun @ state @ ( fun @ bool @ bool ) ) @ x_a ) @ ( hAPP @ ( fun @ bool @ ( fun @ bool @ bool ) ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( combb @ bool @ ( fun @ bool @ bool ) @ state ) @ fconj ) ) @ p ) ) ) @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) @ ( hAPP @ ( fun @ bool @ bool ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) @ ( combb @ bool @ bool @ state ) @ fNot ) @ b ) ) ) ) @ ( bot_bot @ ( fun @ ( hoare_509422987triple @ x_a ) @ bool ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1409_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_cl61,zip_derived_cl160,zip_derived_cl31]) ).
thf(zip_derived_cl6433,plain,
~ ( 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 ) @ ( hAPP @ ( hoare_509422987triple @ x_a ) @ ( fun @ ( hoare_509422987triple @ x_a ) @ bool ) @ ( fequal @ ( hoare_509422987triple @ x_a ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ x_a ) @ ( hAPP @ com @ ( fun @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ x_a ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( fun @ com @ ( fun @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( hoare_509422987triple @ x_a ) ) ) @ ( hoare_1008221573triple @ x_a ) @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( combk @ ( fun @ state @ bool ) @ x_a ) @ ( hAPP @ bool @ ( fun @ state @ bool ) @ ( combk @ bool @ state ) @ fFalse ) ) ) @ c ) @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ x_a @ ( fun @ state @ bool ) ) ) @ ( combc @ x_a @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( fun @ x_a @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ state @ ( fun @ bool @ bool ) ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) ) @ ( fun @ ( fun @ x_a @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( fun @ x_a @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) ) ) @ ( combb @ ( fun @ state @ ( fun @ bool @ bool ) ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) @ x_a ) @ ( combs @ state @ bool @ bool ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( fun @ x_a @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( fun @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( fun @ x_a @ ( fun @ state @ ( fun @ bool @ bool ) ) ) ) @ ( combb @ ( fun @ state @ bool ) @ ( fun @ state @ ( fun @ bool @ bool ) ) @ x_a ) @ ( hAPP @ ( fun @ bool @ ( fun @ bool @ bool ) ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( combb @ bool @ ( fun @ bool @ bool ) @ state ) @ fconj ) ) @ p ) ) ) @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) @ ( hAPP @ ( fun @ bool @ bool ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) @ ( combb @ bool @ bool @ state ) @ fNot ) @ b ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl236,zip_derived_cl1409]) ).
thf(zip_derived_cl14936,plain,
hBOOL @ ( hAPP @ state @ bool @ ( hAPP @ bool @ ( fun @ state @ bool ) @ ( combk @ bool @ state ) @ fFalse ) @ ( sk__1 @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( combk @ ( fun @ state @ bool ) @ x_a ) @ ( hAPP @ bool @ ( fun @ state @ bool ) @ ( combk @ bool @ state ) @ fFalse ) ) @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ x_a @ ( fun @ state @ bool ) ) ) @ ( combc @ x_a @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( fun @ x_a @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ state @ ( fun @ bool @ bool ) ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) ) @ ( fun @ ( fun @ x_a @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( fun @ x_a @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) ) ) @ ( combb @ ( fun @ state @ ( fun @ bool @ bool ) ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) @ x_a ) @ ( combs @ state @ bool @ bool ) ) @ ( hAPP @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( fun @ x_a @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( fun @ ( fun @ x_a @ ( fun @ state @ bool ) ) @ ( fun @ x_a @ ( fun @ state @ ( fun @ bool @ bool ) ) ) ) @ ( combb @ ( fun @ state @ bool ) @ ( fun @ state @ ( fun @ bool @ bool ) ) @ x_a ) @ ( hAPP @ ( fun @ bool @ ( fun @ bool @ bool ) ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ ( fun @ bool @ bool ) ) ) @ ( combb @ bool @ ( fun @ bool @ bool ) @ state ) @ fconj ) ) @ p ) ) ) @ ( hAPP @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) @ ( hAPP @ ( fun @ bool @ bool ) @ ( fun @ ( fun @ state @ bool ) @ ( fun @ state @ bool ) ) @ ( combb @ bool @ bool @ state ) @ fNot ) @ b ) ) @ c @ g @ x_a ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14914,zip_derived_cl6433]) ).
thf(zip_derived_cl221_002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( hAPP @ X2 @ X0 @ ( hAPP @ X0 @ ( fun @ X2 @ X0 ) @ ( combk @ X0 @ X2 ) @ X1 ) @ X3 )
= ( ti @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[help_COMBK_1_1_U]) ).
thf(tsy_c_fFalse_res,axiom,
( ( ti @ bool @ fFalse )
= fFalse ) ).
thf(zip_derived_cl22,plain,
( ( ti @ bool @ fFalse )
= fFalse ),
inference(cnf,[status(esa)],[tsy_c_fFalse_res]) ).
thf(help_fFalse_1_1_U,axiom,
~ ( hBOOL @ fFalse ) ).
thf(zip_derived_cl229,plain,
~ ( hBOOL @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(zip_derived_cl14983,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl14936,zip_derived_cl221,zip_derived_cl22,zip_derived_cl229]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW470+5 : TPTP v8.1.2. Released v5.3.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vnMubNgACO true
% 0.15/0.35 % Computer : n013.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 18:13:02 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.35 % Running in FO mode
% 0.22/0.59 % Total configuration time : 435
% 0.22/0.59 % Estimated wc time : 1092
% 0.22/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 45.98/7.14 % Solved by fo/fo1_av.sh.
% 45.98/7.14 % done 2216 iterations in 6.412s
% 45.98/7.14 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 45.98/7.14 % SZS output start Refutation
% See solution above
% 45.98/7.15
% 45.98/7.15
% 45.98/7.15 % Terminating...
% 46.59/7.24 % Runner terminated.
% 46.59/7.24 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------