TSTP Solution File: AGT016+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : AGT016+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 Apr 30 20:08:45 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 46 ( 15 unt; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 115 ( 47 ~; 44 |; 15 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 7 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 34 ( 30 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [A,L,C] :
( any_agent_in_all_proposed_teams(A,L,C)
=> accept_leader(A,L) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,L,C] :
( the_agent_not_in_any_proposed_teams(A,L,C)
=> ~ ( accept_city(A,C)
& accept_leader(A,L) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A] :
( ( accept_population(A,atheist,n75)
& accept_population(A,christian,n24)
& accept_population(A,muslim,n1)
& accept_population(A,native,n0)
& accept_population(A,other,n0) )
<=> accept_city(A,towna) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f556,conjecture,
? [X,Y] : ~ accept_population(muslimcountrybhumanitarianorganization,X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f557,negated_conjecture,
~ ? [X,Y] : ~ accept_population(muslimcountrybhumanitarianorganization,X,Y),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f573,plain,
! [A,L,C] :
( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f574,plain,
! [A,L] :
( ! [C] : ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) ),
inference(miniscoping,[status(esa)],[f573]) ).
fof(f575,plain,
! [X0,X1,X2] :
( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
| accept_leader(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f574]) ).
fof(f576,plain,
! [A,L,C] :
( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ accept_city(A,C)
| ~ accept_leader(A,L) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f577,plain,
! [X0,X1,X2] :
( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
| ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f576]) ).
fof(f644,plain,
! [A] :
( ( ~ accept_population(A,atheist,n75)
| ~ accept_population(A,christian,n24)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,other,n0)
| accept_city(A,towna) )
& ( ( accept_population(A,atheist,n75)
& accept_population(A,christian,n24)
& accept_population(A,muslim,n1)
& accept_population(A,native,n0)
& accept_population(A,other,n0) )
| ~ accept_city(A,towna) ) ),
inference(NNF_transformation,[status(esa)],[f16]) ).
fof(f645,plain,
( ! [A] :
( ~ accept_population(A,atheist,n75)
| ~ accept_population(A,christian,n24)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,other,n0)
| accept_city(A,towna) )
& ! [A] :
( ( accept_population(A,atheist,n75)
& accept_population(A,christian,n24)
& accept_population(A,muslim,n1)
& accept_population(A,native,n0)
& accept_population(A,other,n0) )
| ~ accept_city(A,towna) ) ),
inference(miniscoping,[status(esa)],[f644]) ).
fof(f646,plain,
! [X0] :
( ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0)
| accept_city(X0,towna) ),
inference(cnf_transformation,[status(esa)],[f645]) ).
fof(f694,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f695,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f1245,plain,
! [X,Y] : accept_population(muslimcountrybhumanitarianorganization,X,Y),
inference(pre_NNF_transformation,[status(esa)],[f557]) ).
fof(f1246,plain,
! [X0,X1] : accept_population(muslimcountrybhumanitarianorganization,X0,X1),
inference(cnf_transformation,[status(esa)],[f1245]) ).
fof(f1253,plain,
accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
inference(resolution,[status(thm)],[f695,f575]) ).
fof(f1257,plain,
( spl0_0
<=> accept_city(muslimcountrybhumanitarianorganization,towna) ),
introduced(split_symbol_definition) ).
fof(f1260,plain,
( spl0_1
<=> accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ),
introduced(split_symbol_definition) ).
fof(f1262,plain,
( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
| spl0_1 ),
inference(component_clause,[status(thm)],[f1260]) ).
fof(f1263,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ),
inference(resolution,[status(thm)],[f577,f694]) ).
fof(f1264,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1263,f1257,f1260]) ).
fof(f1360,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1262,f1253]) ).
fof(f1361,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f1360]) ).
fof(f1375,plain,
( spl0_8
<=> accept_population(muslimcountrybhumanitarianorganization,other,n0) ),
introduced(split_symbol_definition) ).
fof(f1377,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| spl0_8 ),
inference(component_clause,[status(thm)],[f1375]) ).
fof(f1398,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f1377,f1246]) ).
fof(f1399,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f1398]) ).
fof(f1406,plain,
( spl0_11
<=> accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
introduced(split_symbol_definition) ).
fof(f1408,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| spl0_11 ),
inference(component_clause,[status(thm)],[f1406]) ).
fof(f1409,plain,
( spl0_12
<=> accept_population(muslimcountrybhumanitarianorganization,muslim,n1) ),
introduced(split_symbol_definition) ).
fof(f1411,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| spl0_12 ),
inference(component_clause,[status(thm)],[f1409]) ).
fof(f1417,plain,
( spl0_14
<=> accept_population(muslimcountrybhumanitarianorganization,christian,n24) ),
introduced(split_symbol_definition) ).
fof(f1419,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| spl0_14 ),
inference(component_clause,[status(thm)],[f1417]) ).
fof(f1420,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolution,[status(thm)],[f646,f1246]) ).
fof(f1421,plain,
( ~ spl0_11
| ~ spl0_14
| ~ spl0_12
| ~ spl0_8
| spl0_0 ),
inference(split_clause,[status(thm)],[f1420,f1406,f1417,f1409,f1375,f1257]) ).
fof(f1422,plain,
( $false
| spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f1419,f1246]) ).
fof(f1423,plain,
spl0_14,
inference(contradiction_clause,[status(thm)],[f1422]) ).
fof(f1424,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f1408,f1246]) ).
fof(f1425,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f1424]) ).
fof(f1426,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f1411,f1246]) ).
fof(f1427,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f1426]) ).
fof(f1428,plain,
$false,
inference(sat_refutation,[status(thm)],[f1264,f1361,f1399,f1421,f1423,f1425,f1427]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : AGT016+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:15:10 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.045773 seconds
% 0.13/0.39 % CPU time: 0.161502 seconds
% 0.13/0.39 % Total memory used: 38.899 MB
% 0.13/0.39 % Net memory used: 38.771 MB
%------------------------------------------------------------------------------