TSTP Solution File: ITP214_1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ITP214_1 : TPTP v8.1.0. Released v8.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n010.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 Sep 17 04:16:49 EDT 2022
% Result : Theorem 4.15s 3.86s
% Output : Proof 4.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 18
% Syntax : Number of formulae : 25 ( 6 unt; 12 typ; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 0 |; 0 &)
% ( 7 <=>; 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 : 11 ( 6 >; 5 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 10 prp; 0-1 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(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(h2_type,type,
h2: heap_e7401611519738050253t_unit ).
tff(1,plain,
( ~ $true
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(2,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(rewrite,[status(thm)],]) ).
tff(3,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(4,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(5,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)],[4,3]) ).
tff(6,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)],[5,2]) ).
tff(7,plain,
( pp(aa_Pro2991721470636411351t_bool(rep_assn(aa_b_assn(q,rg)),produc7507926704131184380et_nat(h,hoare_new_addrs(h3,as,h))))
<=> $true ),
inference(iff_true,[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))))
<=> ~ $true ),
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))))
<=> $false ),
inference(transitivity,[status(thm)],[8,1]) ).
tff(10,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(11,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(12,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)],[11,10]) ).
tff(13,plain,
$false,
inference(modus_ponens,[status(thm)],[12,9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : ITP214_1 : TPTP v8.1.0. Released v8.0.0.
% 0.10/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n010.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 : Thu Sep 1 04:45:58 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.36 Usage: tptp [options] [-file:]file
% 0.13/0.36 -h, -? prints this message.
% 0.13/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.36 -m, -model generate model.
% 0.13/0.36 -p, -proof generate proof.
% 0.13/0.36 -c, -core generate unsat core of named formulas.
% 0.13/0.36 -st, -statistics display statistics.
% 0.13/0.36 -t:timeout set timeout (in second).
% 0.13/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.36 -<param>:<value> configuration parameter and value.
% 0.13/0.36 -o:<output-file> file to place output in.
% 4.15/3.86 % SZS status Theorem
% 4.15/3.86 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------