TSTP Solution File: SWW474+2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW474+2 : 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.SvuVGc1wmj true
% Computer : n028.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 01:42:14 EDT 2023
% Result : Theorem 4.45s 1.26s
% Output : Refutation 4.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 50
% Syntax : Number of formulae : 120 ( 46 unt; 31 typ; 0 def)
% Number of atoms : 151 ( 62 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 465 ( 39 ~; 50 |; 1 &; 364 @)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 33 ( 31 usr; 16 con; 0-2 aty)
% Number of variables : 57 ( 0 ^; 55 !; 2 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
thf(hAPP_f1758910594_state_type,type,
hAPP_f1758910594_state: $i > $i > $i ).
thf(is_bool_type,type,
is_bool: $i > $o ).
thf(hAPP_f1760790145l_bool_type,type,
hAPP_f1760790145l_bool: $i > $i > $i ).
thf(hAPP_H727730819e_bool_type,type,
hAPP_H727730819e_bool: $i > $i > $i ).
thf(wt_type,type,
wt: $i ).
thf(insert1835143293_state_type,type,
insert1835143293_state: $i ).
thf(cOMBB_422605457_pname_type,type,
cOMBB_422605457_pname: $i > $i ).
thf(hAPP_com_bool_type,type,
hAPP_com_bool: $i > $i > $i ).
thf(fTrue_type,type,
fTrue: $i ).
thf(image_275883510_state_type,type,
image_275883510_state: $i > $i ).
thf(hoare_Mirabelle_MGT_type,type,
hoare_Mirabelle_MGT: $i ).
thf(y_type,type,
y: $i ).
thf(hoare_298929751gleton_type,type,
hoare_298929751gleton: $i ).
thf(body_type,type,
body: $i ).
thf(finite784854244_state_type,type,
finite784854244_state: $i ).
thf(hAPP_c1546227244_state_type,type,
hAPP_c1546227244_state: $i > $i > $i ).
thf(bot_bot_bool_type,type,
bot_bot_bool: $i ).
thf(hAPP_H513860823e_bool_type,type,
hAPP_H513860823e_bool: $i > $i > $i ).
thf(fFalse_type,type,
fFalse: $i ).
thf(hAPP_f921536533e_bool_type,type,
hAPP_f921536533e_bool: $i > $i > $i ).
thf(pn_type,type,
pn: $i ).
thf(wT_bodies_type,type,
wT_bodies: $i ).
thf(body_1_type,type,
body_1: $i ).
thf(dom_pname_com_type,type,
dom_pname_com: $i > $i ).
thf(hoare_659004819_state_type,type,
hoare_659004819_state: $i > $i ).
thf(hAPP_p799580910on_com_type,type,
hAPP_p799580910on_com: $i > $i > $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(collec727977250_state_type,type,
collec727977250_state: $i ).
thf(hAPP_f631639356e_bool_type,type,
hAPP_f631639356e_bool: $i > $i > $i ).
thf(some_com_type,type,
some_com: $i > $i ).
thf(bot_bo1055319631e_bool_type,type,
bot_bo1055319631e_bool: $i ).
thf(help_fFalse_1_1_T,axiom,
! [P: $i] :
( ( is_bool @ P )
=> ( ( P = fTrue )
| ( P = fFalse ) ) ) ).
thf(zip_derived_cl1207,plain,
! [X0: $i] :
( ( X0 = fFalse )
| ( X0 = fTrue )
| ~ ( is_bool @ X0 ) ),
inference(cnf,[status(esa)],[help_fFalse_1_1_T]) ).
thf(gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__O_004,axiom,
! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1760790145l_bool @ B_1_1 @ B_2_1 ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i] : ( is_bool @ ( hAPP_f1760790145l_bool @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__O_004]) ).
thf(zip_derived_cl2531,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP_f1760790145l_bool @ X1 @ X0 )
= fTrue )
| ( ( hAPP_f1760790145l_bool @ X1 @ X0 )
= fFalse ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1207,zip_derived_cl43]) ).
thf(conj_7,conjecture,
hBOOL @ ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ ( hAPP_f631639356e_bool @ ( image_275883510_state @ ( hAPP_f1758910594_state @ ( cOMBB_422605457_pname @ hoare_Mirabelle_MGT ) @ body_1 ) ) @ ( dom_pname_com @ body ) ) ) @ ( hAPP_f921536533e_bool @ ( hAPP_H727730819e_bool @ insert1835143293_state @ ( hAPP_c1546227244_state @ hoare_Mirabelle_MGT @ y ) ) @ bot_bo1055319631e_bool ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( hBOOL @ ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ ( hAPP_f631639356e_bool @ ( image_275883510_state @ ( hAPP_f1758910594_state @ ( cOMBB_422605457_pname @ hoare_Mirabelle_MGT ) @ body_1 ) ) @ ( dom_pname_com @ body ) ) ) @ ( hAPP_f921536533e_bool @ ( hAPP_H727730819e_bool @ insert1835143293_state @ ( hAPP_c1546227244_state @ hoare_Mirabelle_MGT @ y ) ) @ bot_bo1055319631e_bool ) ) ),
inference('cnf.neg',[status(esa)],[conj_7]) ).
thf(zip_derived_cl1312,plain,
~ ( hBOOL @ ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ ( hAPP_f631639356e_bool @ ( image_275883510_state @ ( hAPP_f1758910594_state @ ( cOMBB_422605457_pname @ hoare_Mirabelle_MGT ) @ body_1 ) ) @ ( dom_pname_com @ body ) ) ) @ ( hAPP_f921536533e_bool @ ( hAPP_H727730819e_bool @ insert1835143293_state @ ( hAPP_c1546227244_state @ hoare_Mirabelle_MGT @ y ) ) @ bot_bo1055319631e_bool ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2937,plain,
( ( ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ ( hAPP_f631639356e_bool @ ( image_275883510_state @ ( hAPP_f1758910594_state @ ( cOMBB_422605457_pname @ hoare_Mirabelle_MGT ) @ body_1 ) ) @ ( dom_pname_com @ body ) ) ) @ ( hAPP_f921536533e_bool @ ( hAPP_H727730819e_bool @ insert1835143293_state @ ( hAPP_c1546227244_state @ hoare_Mirabelle_MGT @ y ) ) @ bot_bo1055319631e_bool ) )
= fFalse )
| ~ ( hBOOL @ fTrue ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2531,zip_derived_cl1312]) ).
thf(zip_derived_cl2531_001,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP_f1760790145l_bool @ X1 @ X0 )
= fTrue )
| ( ( hAPP_f1760790145l_bool @ X1 @ X0 )
= fFalse ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1207,zip_derived_cl43]) ).
thf(fact_29_finite_OemptyI,axiom,
hBOOL @ ( hAPP_f1760790145l_bool @ finite784854244_state @ bot_bo1055319631e_bool ) ).
thf(zip_derived_cl84,plain,
hBOOL @ ( hAPP_f1760790145l_bool @ finite784854244_state @ bot_bo1055319631e_bool ),
inference(cnf,[status(esa)],[fact_29_finite_OemptyI]) ).
thf(zip_derived_cl2958,plain,
( ( ( hAPP_f1760790145l_bool @ finite784854244_state @ bot_bo1055319631e_bool )
= fFalse )
| ( hBOOL @ fTrue ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2531,zip_derived_cl84]) ).
thf(fact_244_finite_Osimps,axiom,
! [A: $i] :
( ( hBOOL @ ( hAPP_f1760790145l_bool @ finite784854244_state @ A ) )
<=> ( ( A = bot_bo1055319631e_bool )
| ? [A_4: $i,A_3: $i] :
( ( hBOOL @ ( hAPP_f1760790145l_bool @ finite784854244_state @ A_4 ) )
& ( A
= ( hAPP_f921536533e_bool @ ( hAPP_H727730819e_bool @ insert1835143293_state @ A_3 ) @ A_4 ) ) ) ) ) ).
thf(zip_derived_cl482,plain,
! [X0: $i] :
( ( hBOOL @ ( hAPP_f1760790145l_bool @ finite784854244_state @ X0 ) )
| ( X0 != bot_bo1055319631e_bool ) ),
inference(cnf,[status(esa)],[fact_244_finite_Osimps]) ).
thf(zip_derived_cl2984,plain,
( ( hBOOL @ fTrue )
| ( hBOOL @ fFalse )
| ( bot_bo1055319631e_bool != bot_bo1055319631e_bool ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2958,zip_derived_cl482]) ).
thf(help_fFalse_1_1_U,axiom,
~ ( hBOOL @ fFalse ) ).
thf(zip_derived_cl1206,plain,
~ ( hBOOL @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(zip_derived_cl2989,plain,
( ( hBOOL @ fTrue )
| ( bot_bo1055319631e_bool != bot_bo1055319631e_bool ) ),
inference(demod,[status(thm)],[zip_derived_cl2984,zip_derived_cl1206]) ).
thf(zip_derived_cl2990,plain,
hBOOL @ fTrue,
inference(simplify,[status(thm)],[zip_derived_cl2989]) ).
thf(zip_derived_cl3005,plain,
( ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ ( hAPP_f631639356e_bool @ ( image_275883510_state @ ( hAPP_f1758910594_state @ ( cOMBB_422605457_pname @ hoare_Mirabelle_MGT ) @ body_1 ) ) @ ( dom_pname_com @ body ) ) ) @ ( hAPP_f921536533e_bool @ ( hAPP_H727730819e_bool @ insert1835143293_state @ ( hAPP_c1546227244_state @ hoare_Mirabelle_MGT @ y ) ) @ bot_bo1055319631e_bool ) )
= fFalse ),
inference(demod,[status(thm)],[zip_derived_cl2937,zip_derived_cl2990]) ).
thf(zip_derived_cl1207_002,plain,
! [X0: $i] :
( ( X0 = fFalse )
| ( X0 = fTrue )
| ~ ( is_bool @ X0 ) ),
inference(cnf,[status(esa)],[help_fFalse_1_1_T]) ).
thf(gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool,axiom,
is_bool @ bot_bot_bool ).
thf(zip_derived_cl19,plain,
is_bool @ bot_bot_bool,
inference(cnf,[status(esa)],[gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool]) ).
thf(zip_derived_cl2520,plain,
( ( bot_bot_bool = fTrue )
| ( bot_bot_bool = fFalse ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1207,zip_derived_cl19]) ).
thf(zip_derived_cl2990_003,plain,
hBOOL @ fTrue,
inference(simplify,[status(thm)],[zip_derived_cl2989]) ).
thf(zip_derived_cl3004,plain,
( ( bot_bot_bool = fFalse )
| ( hBOOL @ bot_bot_bool ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2520,zip_derived_cl2990]) ).
thf(fact_374_bot__apply,axiom,
! [X_1: $i] :
( ( hBOOL @ ( hAPP_H513860823e_bool @ bot_bo1055319631e_bool @ X_1 ) )
<=> ( hBOOL @ bot_bot_bool ) ) ).
thf(zip_derived_cl693,plain,
! [X0: $i] :
( ( hBOOL @ ( hAPP_H513860823e_bool @ bot_bo1055319631e_bool @ X0 ) )
| ~ ( hBOOL @ bot_bot_bool ) ),
inference(cnf,[status(esa)],[fact_374_bot__apply]) ).
thf(zip_derived_cl3064,plain,
! [X0: $i] :
( ( bot_bot_bool = fFalse )
| ( hBOOL @ ( hAPP_H513860823e_bool @ bot_bo1055319631e_bool @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3004,zip_derived_cl693]) ).
thf(fact_71_Collect__empty__eq,axiom,
! [P_1: $i] :
( ( ( hAPP_f921536533e_bool @ collec727977250_state @ P_1 )
= bot_bo1055319631e_bool )
<=> ! [X_2: $i] :
~ ( hBOOL @ ( hAPP_H513860823e_bool @ P_1 @ X_2 ) ) ) ).
thf(zip_derived_cl139,plain,
! [X0: $i,X1: $i] :
( ~ ( hBOOL @ ( hAPP_H513860823e_bool @ X0 @ X1 ) )
| ( ( hAPP_f921536533e_bool @ collec727977250_state @ X0 )
!= bot_bo1055319631e_bool ) ),
inference(cnf,[status(esa)],[fact_71_Collect__empty__eq]) ).
thf(fact_177_Collect__def,axiom,
! [P_1: $i] :
( ( hAPP_f921536533e_bool @ collec727977250_state @ P_1 )
= P_1 ) ).
thf(zip_derived_cl309,plain,
! [X0: $i] :
( ( hAPP_f921536533e_bool @ collec727977250_state @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_177_Collect__def]) ).
thf(zip_derived_cl2496,plain,
! [X0: $i,X1: $i] :
( ~ ( hBOOL @ ( hAPP_H513860823e_bool @ X0 @ X1 ) )
| ( X0 != bot_bo1055319631e_bool ) ),
inference(demod,[status(thm)],[zip_derived_cl139,zip_derived_cl309]) ).
thf(zip_derived_cl2497,plain,
! [X0: $i] :
~ ( hBOOL @ ( hAPP_H513860823e_bool @ bot_bo1055319631e_bool @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2496]) ).
thf(zip_derived_cl3182,plain,
bot_bot_bool = fFalse,
inference(clc,[status(thm)],[zip_derived_cl3064,zip_derived_cl2497]) ).
thf(zip_derived_cl3205,plain,
( ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ ( hAPP_f631639356e_bool @ ( image_275883510_state @ ( hAPP_f1758910594_state @ ( cOMBB_422605457_pname @ hoare_Mirabelle_MGT ) @ body_1 ) ) @ ( dom_pname_com @ body ) ) ) @ ( hAPP_f921536533e_bool @ ( hAPP_H727730819e_bool @ insert1835143293_state @ ( hAPP_c1546227244_state @ hoare_Mirabelle_MGT @ y ) ) @ bot_bo1055319631e_bool ) )
= bot_bot_bool ),
inference(demod,[status(thm)],[zip_derived_cl3005,zip_derived_cl3182]) ).
thf(zip_derived_cl2531_004,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP_f1760790145l_bool @ X1 @ X0 )
= fTrue )
| ( ( hAPP_f1760790145l_bool @ X1 @ X0 )
= fFalse ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1207,zip_derived_cl43]) ).
thf(zip_derived_cl3182_005,plain,
bot_bot_bool = fFalse,
inference(clc,[status(thm)],[zip_derived_cl3064,zip_derived_cl2497]) ).
thf(zip_derived_cl3190,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP_f1760790145l_bool @ X1 @ X0 )
= fTrue )
| ( ( hAPP_f1760790145l_bool @ X1 @ X0 )
= bot_bot_bool ) ),
inference(demod,[status(thm)],[zip_derived_cl2531,zip_derived_cl3182]) ).
thf(fact_0_empty,axiom,
! [G_1: $i] : ( hBOOL @ ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ G_1 ) @ bot_bo1055319631e_bool ) ) ).
thf(zip_derived_cl54,plain,
! [X0: $i] : ( hBOOL @ ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ X0 ) @ bot_bo1055319631e_bool ) ),
inference(cnf,[status(esa)],[fact_0_empty]) ).
thf(fact_4_cut,axiom,
! [G_1: $i,G_2: $i,Ts: $i] :
( ( hBOOL @ ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ G_2 ) @ Ts ) )
=> ( ( hBOOL @ ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ G_1 ) @ G_2 ) )
=> ( hBOOL @ ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ G_1 ) @ Ts ) ) ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( hBOOL @ ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ X0 ) @ X1 ) )
| ~ ( hBOOL @ ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ X1 ) @ X2 ) )
| ( hBOOL @ ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_4_cut]) ).
thf(zip_derived_cl2600,plain,
! [X0: $i,X1: $i] :
( ~ ( hBOOL @ ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ bot_bo1055319631e_bool ) @ X1 ) )
| ( hBOOL @ ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ X0 ) @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl58]) ).
thf(zip_derived_cl3487,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ bot_bo1055319631e_bool ) @ X0 )
= bot_bot_bool )
| ~ ( hBOOL @ fTrue )
| ( hBOOL @ ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ X1 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3190,zip_derived_cl2600]) ).
thf(zip_derived_cl2990_006,plain,
hBOOL @ fTrue,
inference(simplify,[status(thm)],[zip_derived_cl2989]) ).
thf(zip_derived_cl3553,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ bot_bo1055319631e_bool ) @ X0 )
= bot_bot_bool )
| ( hBOOL @ ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ X1 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3487,zip_derived_cl2990]) ).
thf(zip_derived_cl3652,plain,
( ( ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ bot_bo1055319631e_bool ) @ ( hAPP_f921536533e_bool @ ( hAPP_H727730819e_bool @ insert1835143293_state @ ( hAPP_c1546227244_state @ hoare_Mirabelle_MGT @ y ) ) @ bot_bo1055319631e_bool ) )
= bot_bot_bool )
| ( hBOOL @ bot_bot_bool ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3205,zip_derived_cl3553]) ).
thf(zip_derived_cl1206_007,plain,
~ ( hBOOL @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(zip_derived_cl3182_008,plain,
bot_bot_bool = fFalse,
inference(clc,[status(thm)],[zip_derived_cl3064,zip_derived_cl2497]) ).
thf(zip_derived_cl3186,plain,
~ ( hBOOL @ bot_bot_bool ),
inference(demod,[status(thm)],[zip_derived_cl1206,zip_derived_cl3182]) ).
thf(zip_derived_cl3655,plain,
( ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ bot_bo1055319631e_bool ) @ ( hAPP_f921536533e_bool @ ( hAPP_H727730819e_bool @ insert1835143293_state @ ( hAPP_c1546227244_state @ hoare_Mirabelle_MGT @ y ) ) @ bot_bo1055319631e_bool ) )
= bot_bot_bool ),
inference(demod,[status(thm)],[zip_derived_cl3652,zip_derived_cl3186]) ).
thf(fact_53_MGF,axiom,
! [C: $i] :
( ( hBOOL @ hoare_298929751gleton )
=> ( ( hBOOL @ wT_bodies )
=> ( ( hBOOL @ ( hAPP_com_bool @ wt @ C ) )
=> ( hBOOL @ ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ bot_bo1055319631e_bool ) @ ( hAPP_f921536533e_bool @ ( hAPP_H727730819e_bool @ insert1835143293_state @ ( hAPP_c1546227244_state @ hoare_Mirabelle_MGT @ C ) ) @ bot_bo1055319631e_bool ) ) ) ) ) ) ).
thf(zip_derived_cl114,plain,
! [X0: $i] :
( ~ ( hBOOL @ wT_bodies )
| ~ ( hBOOL @ hoare_298929751gleton )
| ~ ( hBOOL @ ( hAPP_com_bool @ wt @ X0 ) )
| ( hBOOL @ ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ bot_bo1055319631e_bool ) @ ( hAPP_f921536533e_bool @ ( hAPP_H727730819e_bool @ insert1835143293_state @ ( hAPP_c1546227244_state @ hoare_Mirabelle_MGT @ X0 ) ) @ bot_bo1055319631e_bool ) ) ) ),
inference(cnf,[status(esa)],[fact_53_MGF]) ).
thf(conj_1,axiom,
hBOOL @ wT_bodies ).
thf(zip_derived_cl1306,plain,
hBOOL @ wT_bodies,
inference(cnf,[status(esa)],[conj_1]) ).
thf(zip_derived_cl1207_009,plain,
! [X0: $i] :
( ( X0 = fFalse )
| ( X0 = fTrue )
| ~ ( is_bool @ X0 ) ),
inference(cnf,[status(esa)],[help_fFalse_1_1_T]) ).
thf(gsy_c_Hoare__Mirabelle__ddpglwnxwg_Ostate__not__singleton,axiom,
is_bool @ hoare_298929751gleton ).
thf(zip_derived_cl15,plain,
is_bool @ hoare_298929751gleton,
inference(cnf,[status(esa)],[gsy_c_Hoare__Mirabelle__ddpglwnxwg_Ostate__not__singleton]) ).
thf(zip_derived_cl2519,plain,
( ( hoare_298929751gleton = fTrue )
| ( hoare_298929751gleton = fFalse ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1207,zip_derived_cl15]) ).
thf(zip_derived_cl1207_010,plain,
! [X0: $i] :
( ( X0 = fFalse )
| ( X0 = fTrue )
| ~ ( is_bool @ X0 ) ),
inference(cnf,[status(esa)],[help_fFalse_1_1_T]) ).
thf(gsy_c_Com_OWT__bodies,axiom,
is_bool @ wT_bodies ).
thf(zip_derived_cl2,plain,
is_bool @ wT_bodies,
inference(cnf,[status(esa)],[gsy_c_Com_OWT__bodies]) ).
thf(zip_derived_cl2510,plain,
( ( wT_bodies = fTrue )
| ( wT_bodies = fFalse ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1207,zip_derived_cl2]) ).
thf(zip_derived_cl2562,plain,
( ( hoare_298929751gleton = fFalse )
| ( wT_bodies = hoare_298929751gleton )
| ( wT_bodies = fFalse ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2519,zip_derived_cl2510]) ).
thf(zip_derived_cl1206_011,plain,
~ ( hBOOL @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(zip_derived_cl2580,plain,
( ( wT_bodies = fFalse )
| ( wT_bodies = hoare_298929751gleton )
| ~ ( hBOOL @ hoare_298929751gleton ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2562,zip_derived_cl1206]) ).
thf(conj_0,axiom,
hBOOL @ hoare_298929751gleton ).
thf(zip_derived_cl1305,plain,
hBOOL @ hoare_298929751gleton,
inference(cnf,[status(esa)],[conj_0]) ).
thf(zip_derived_cl2584,plain,
( ( wT_bodies = fFalse )
| ( wT_bodies = hoare_298929751gleton ) ),
inference(demod,[status(thm)],[zip_derived_cl2580,zip_derived_cl1305]) ).
thf(zip_derived_cl1206_012,plain,
~ ( hBOOL @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(zip_derived_cl2592,plain,
( ( wT_bodies = hoare_298929751gleton )
| ~ ( hBOOL @ wT_bodies ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2584,zip_derived_cl1206]) ).
thf(zip_derived_cl1306_013,plain,
hBOOL @ wT_bodies,
inference(cnf,[status(esa)],[conj_1]) ).
thf(zip_derived_cl2595,plain,
wT_bodies = hoare_298929751gleton,
inference(demod,[status(thm)],[zip_derived_cl2592,zip_derived_cl1306]) ).
thf(zip_derived_cl1306_014,plain,
hBOOL @ wT_bodies,
inference(cnf,[status(esa)],[conj_1]) ).
thf(zip_derived_cl2836,plain,
! [X0: $i] :
( ~ ( hBOOL @ ( hAPP_com_bool @ wt @ X0 ) )
| ( hBOOL @ ( hAPP_f1760790145l_bool @ ( hoare_659004819_state @ bot_bo1055319631e_bool ) @ ( hAPP_f921536533e_bool @ ( hAPP_H727730819e_bool @ insert1835143293_state @ ( hAPP_c1546227244_state @ hoare_Mirabelle_MGT @ X0 ) ) @ bot_bo1055319631e_bool ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl1306,zip_derived_cl2595,zip_derived_cl1306]) ).
thf(zip_derived_cl3669,plain,
( ~ ( hBOOL @ ( hAPP_com_bool @ wt @ y ) )
| ( hBOOL @ bot_bot_bool ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3655,zip_derived_cl2836]) ).
thf(conj_5,axiom,
( ( hAPP_p799580910on_com @ body @ pn )
= ( some_com @ y ) ) ).
thf(zip_derived_cl1310,plain,
( ( hAPP_p799580910on_com @ body @ pn )
= ( some_com @ y ) ),
inference(cnf,[status(esa)],[conj_5]) ).
thf(fact_215_WT__bodiesD,axiom,
! [Pn: $i,B_4: $i] :
( ( hBOOL @ wT_bodies )
=> ( ( ( hAPP_p799580910on_com @ body @ Pn )
= ( some_com @ B_4 ) )
=> ( hBOOL @ ( hAPP_com_bool @ wt @ B_4 ) ) ) ) ).
thf(zip_derived_cl368,plain,
! [X0: $i,X1: $i] :
( ~ ( hBOOL @ wT_bodies )
| ( hBOOL @ ( hAPP_com_bool @ wt @ X0 ) )
| ( ( hAPP_p799580910on_com @ body @ X1 )
!= ( some_com @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_215_WT__bodiesD]) ).
thf(zip_derived_cl1306_015,plain,
hBOOL @ wT_bodies,
inference(cnf,[status(esa)],[conj_1]) ).
thf(zip_derived_cl2910,plain,
! [X0: $i,X1: $i] :
( ( hBOOL @ ( hAPP_com_bool @ wt @ X0 ) )
| ( ( hAPP_p799580910on_com @ body @ X1 )
!= ( some_com @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl368,zip_derived_cl1306]) ).
thf(zip_derived_cl2911,plain,
! [X0: $i] :
( ( hBOOL @ ( hAPP_com_bool @ wt @ X0 ) )
| ( ( some_com @ y )
!= ( some_com @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1310,zip_derived_cl2910]) ).
thf(zip_derived_cl2919,plain,
hBOOL @ ( hAPP_com_bool @ wt @ y ),
inference(eq_res,[status(thm)],[zip_derived_cl2911]) ).
thf(zip_derived_cl3186_016,plain,
~ ( hBOOL @ bot_bot_bool ),
inference(demod,[status(thm)],[zip_derived_cl1206,zip_derived_cl3182]) ).
thf(zip_derived_cl3678,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3669,zip_derived_cl2919,zip_derived_cl3186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW474+2 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SvuVGc1wmj true
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 20:59:54 EDT 2023
% 0.22/0.36 % CPUTime :
% 0.22/0.36 % Running portfolio for 300 s
% 0.22/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.36 % Number of cores: 8
% 0.22/0.36 % Python version: Python 3.6.8
% 0.22/0.37 % Running in FO mode
% 0.23/0.65 % Total configuration time : 435
% 0.23/0.65 % Estimated wc time : 1092
% 0.23/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.45/1.26 % Solved by fo/fo6_bce.sh.
% 4.45/1.26 % BCE start: 1313
% 4.45/1.26 % BCE eliminated: 3
% 4.45/1.26 % PE start: 1310
% 4.45/1.26 logic: eq
% 4.45/1.26 % PE eliminated: 5
% 4.45/1.26 % done 520 iterations in 0.518s
% 4.45/1.26 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.45/1.26 % SZS output start Refutation
% See solution above
% 4.45/1.26
% 4.45/1.26
% 4.45/1.26 % Terminating...
% 4.45/1.36 % Runner terminated.
% 4.45/1.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------