%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : ITP214_1 : TPTP v9.0.0. Released v8.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n005.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 : Sat Jun 21 05:12:01 AM UTC 2025
% Result : Theorem 3.28s 3.47s
% Output : Proof 4.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 0 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 9 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pp_type,type,
pp: bool > $o ).
tff(aa_Pro2991721470636411351t_bool_type,type,
aa_Pro2991721470636411351t_bool: ( fun_Pr6001797050664311790t_bool * produc3658429121746597890et_nat ) > bool ).
tff(produc7507926704131184380et_nat_type,type,
produc7507926704131184380et_nat: ( heap_e7401611519738050253t_unit * set_nat ) > produc3658429121746597890et_nat ).
tff(hoare_new_addrs_type,type,
hoare_new_addrs: ( heap_e7401611519738050253t_unit * set_nat * heap_e7401611519738050253t_unit ) > set_nat ).
tff(h_type,type,
h: heap_e7401611519738050253t_unit ).
tff(h2_type,type,
h2: heap_e7401611519738050253t_unit ).
tff(as_type,type,
as: set_nat ).
tff(h3_type,type,
h3: heap_e7401611519738050253t_unit ).
tff(rep_assn_type,type,
rep_assn: assn > fun_Pr6001797050664311790t_bool ).
tff(aa_b_assn_type,type,
aa_b_assn: ( fun_b_assn * b ) > assn ).
tff(rg_type,type,
rg: b ).
tff(q_type,type,
q: fun_b_assn ).
tff(1,plain,
( ( hoare_new_addrs(h2,hoare_new_addrs(h3,as,h2),h) = hoare_new_addrs(h3,as,h) )
<=> ( hoare_new_addrs(h2,hoare_new_addrs(h3,as,h2),h) = hoare_new_addrs(h3,as,h) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
hoare_new_addrs(h2,hoare_new_addrs(h3,as,h2),h) = hoare_new_addrs(h3,as,h),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062new__addrs_Ah_H_A_Inew__addrs_Ah_Aas_Ah_H_J_Ah_H_H_A_061_Anew__addrs_Ah_Aas_Ah_H_H_092_060close_062) ).
tff(3,plain,
hoare_new_addrs(h2,hoare_new_addrs(h3,as,h2),h) = hoare_new_addrs(h3,as,h),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
produc7507926704131184380et_nat(h,hoare_new_addrs(h2,hoare_new_addrs(h3,as,h2),h)) = produc7507926704131184380et_nat(h,hoare_new_addrs(h3,as,h)),
inference(monotonicity,[status(thm)],[3]) ).
tff(5,plain,
aa_Pro2991721470636411351t_bool(rep_assn(aa_b_assn(q,rg)),produc7507926704131184380et_nat(h,hoare_new_addrs(h2,hoare_new_addrs(h3,as,h2),h))) = aa_Pro2991721470636411351t_bool(rep_assn(aa_b_assn(q,rg)),produc7507926704131184380et_nat(h,hoare_new_addrs(h3,as,h))),
inference(monotonicity,[status(thm)],[4]) ).
tff(6,plain,
( pp(aa_Pro2991721470636411351t_bool(rep_assn(aa_b_assn(q,rg)),produc7507926704131184380et_nat(h,hoare_new_addrs(h2,hoare_new_addrs(h3,as,h2),h))))
<=> pp(aa_Pro2991721470636411351t_bool(rep_assn(aa_b_assn(q,rg)),produc7507926704131184380et_nat(h,hoare_new_addrs(h3,as,h)))) ),
inference(monotonicity,[status(thm)],[5]) ).
tff(7,plain,
( pp(aa_Pro2991721470636411351t_bool(rep_assn(aa_b_assn(q,rg)),produc7507926704131184380et_nat(h,hoare_new_addrs(h3,as,h))))
<=> pp(aa_Pro2991721470636411351t_bool(rep_assn(aa_b_assn(q,rg)),produc7507926704131184380et_nat(h,hoare_new_addrs(h2,hoare_new_addrs(h3,as,h2),h)))) ),
inference(symmetry,[status(thm)],[6]) ).
tff(8,plain,
( ~ pp(aa_Pro2991721470636411351t_bool(rep_assn(aa_b_assn(q,rg)),produc7507926704131184380et_nat(h,hoare_new_addrs(h3,as,h))))
<=> ~ pp(aa_Pro2991721470636411351t_bool(rep_assn(aa_b_assn(q,rg)),produc7507926704131184380et_nat(h,hoare_new_addrs(h2,hoare_new_addrs(h3,as,h2),h)))) ),
inference(monotonicity,[status(thm)],[7]) ).
tff(9,plain,
( ~ pp(aa_Pro2991721470636411351t_bool(rep_assn(aa_b_assn(q,rg)),produc7507926704131184380et_nat(h,hoare_new_addrs(h3,as,h))))
<=> ~ pp(aa_Pro2991721470636411351t_bool(rep_assn(aa_b_assn(q,rg)),produc7507926704131184380et_nat(h,hoare_new_addrs(h3,as,h)))) ),
inference(rewrite,[status(thm)],[]) ).
tff(10,axiom,
~ pp(aa_Pro2991721470636411351t_bool(rep_assn(aa_b_assn(q,rg)),produc7507926704131184380et_nat(h,hoare_new_addrs(h3,as,h)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(11,plain,
~ pp(aa_Pro2991721470636411351t_bool(rep_assn(aa_b_assn(q,rg)),produc7507926704131184380et_nat(h,hoare_new_addrs(h3,as,h)))),
inference(modus_ponens,[status(thm)],[10,9]) ).
tff(12,plain,
~ pp(aa_Pro2991721470636411351t_bool(rep_assn(aa_b_assn(q,rg)),produc7507926704131184380et_nat(h,hoare_new_addrs(h2,hoare_new_addrs(h3,as,h2),h)))),
inference(modus_ponens,[status(thm)],[11,8]) ).
tff(13,plain,
( pp(aa_Pro2991721470636411351t_bool(rep_assn(aa_b_assn(q,rg)),produc7507926704131184380et_nat(h,hoare_new_addrs(h2,hoare_new_addrs(h3,as,h2),h))))
<=> pp(aa_Pro2991721470636411351t_bool(rep_assn(aa_b_assn(q,rg)),produc7507926704131184380et_nat(h,hoare_new_addrs(h2,hoare_new_addrs(h3,as,h2),h)))) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,axiom,
pp(aa_Pro2991721470636411351t_bool(rep_assn(aa_b_assn(q,rg)),produc7507926704131184380et_nat(h,hoare_new_addrs(h2,hoare_new_addrs(h3,as,h2),h)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_POST__G) ).
tff(15,plain,
pp(aa_Pro2991721470636411351t_bool(rep_assn(aa_b_assn(q,rg)),produc7507926704131184380et_nat(h,hoare_new_addrs(h2,hoare_new_addrs(h3,as,h2),h)))),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
$false,
inference(unit_resolution,[status(thm)],[15,12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP214_1 : TPTP v9.0.0. Released v8.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n005.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Jun 19 18:31:06 EDT 2025
% 0.11/0.33 % CPUTime :
% 3.28/3.47 % SZS status Theorem
% 3.28/3.47 % SZS output start Proof
% See solution above
% 4.12/4.28 % E exiting
%------------------------------------------------------------------------------