TSTP Solution File: AGT017+2 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : AGT017+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n008.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 : Tue Sep 6 14:48:05 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 25 ( 17 unt; 3 typ; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 42 ( 35 ~; 1 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 5 ( 5 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 21 ( 8 !; 10 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
tff(accept_city_type,type,
accept_city: ( $i * $i ) > $o ).
tff(muslimcountrybhumanitarianorganization_type,type,
muslimcountrybhumanitarianorganization: $i ).
tff(towna_type,type,
towna: $i ).
tff(1,plain,
^ [X: $i] :
refl(
( accept_city(muslimcountrybhumanitarianorganization,X)
<=> accept_city(muslimcountrybhumanitarianorganization,X) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [X: $i] : accept_city(muslimcountrybhumanitarianorganization,X)
<=> ! [X: $i] : accept_city(muslimcountrybhumanitarianorganization,X) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
^ [X: $i] :
rewrite(
( ~ ~ accept_city(muslimcountrybhumanitarianorganization,X)
<=> accept_city(muslimcountrybhumanitarianorganization,X) )),
inference(bind,[status(th)],]) ).
tff(4,plain,
( ! [X: $i] :
~ ~ accept_city(muslimcountrybhumanitarianorganization,X)
<=> ! [X: $i] : accept_city(muslimcountrybhumanitarianorganization,X) ),
inference(quant_intro,[status(thm)],[3]) ).
tff(5,plain,
( ~ ? [X: $i] : ~ accept_city(muslimcountrybhumanitarianorganization,X)
<=> ~ ? [X: $i] : ~ accept_city(muslimcountrybhumanitarianorganization,X) ),
inference(rewrite,[status(thm)],]) ).
tff(6,axiom,
~ ? [X: $i] : ~ accept_city(muslimcountrybhumanitarianorganization,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_17) ).
tff(7,plain,
~ ? [X: $i] : ~ accept_city(muslimcountrybhumanitarianorganization,X),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
~ ? [X: $i] : ~ accept_city(muslimcountrybhumanitarianorganization,X),
inference(modus_ponens,[status(thm)],[7,5]) ).
tff(9,plain,
~ ? [X: $i] : ~ accept_city(muslimcountrybhumanitarianorganization,X),
inference(modus_ponens,[status(thm)],[8,5]) ).
tff(10,plain,
~ ? [X: $i] : ~ accept_city(muslimcountrybhumanitarianorganization,X),
inference(modus_ponens,[status(thm)],[9,5]) ).
tff(11,plain,
~ ? [X: $i] : ~ accept_city(muslimcountrybhumanitarianorganization,X),
inference(modus_ponens,[status(thm)],[10,5]) ).
tff(12,plain,
~ ? [X: $i] : ~ accept_city(muslimcountrybhumanitarianorganization,X),
inference(modus_ponens,[status(thm)],[11,5]) ).
tff(13,plain,
~ ? [X: $i] : ~ accept_city(muslimcountrybhumanitarianorganization,X),
inference(modus_ponens,[status(thm)],[12,5]) ).
tff(14,plain,
^ [X: $i] :
refl(
$oeq(
~ ~ accept_city(muslimcountrybhumanitarianorganization,X),
~ ~ accept_city(muslimcountrybhumanitarianorganization,X))),
inference(bind,[status(th)],]) ).
tff(15,plain,
! [X: $i] :
~ ~ accept_city(muslimcountrybhumanitarianorganization,X),
inference(nnf-neg,[status(sab)],[13,14]) ).
tff(16,plain,
! [X: $i] : accept_city(muslimcountrybhumanitarianorganization,X),
inference(modus_ponens,[status(thm)],[15,4]) ).
tff(17,plain,
! [X: $i] : accept_city(muslimcountrybhumanitarianorganization,X),
inference(modus_ponens,[status(thm)],[16,2]) ).
tff(18,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,towna)
<=> ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(rewrite,[status(thm)],]) ).
tff(19,axiom,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_366) ).
tff(20,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference(modus_ponens,[status(thm)],[19,18]) ).
tff(21,plain,
( ~ ! [X: $i] : accept_city(muslimcountrybhumanitarianorganization,X)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(quant_inst,[status(thm)],]) ).
tff(22,plain,
$false,
inference(unit_resolution,[status(thm)],[21,20,17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : AGT017+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 12:36:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.20/0.50 % SZS status Theorem
% 0.20/0.50 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------