%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : AGT014+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.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 : Thu Jul 24 09:08:09 AM UTC 2025
% Result : Theorem 6.84s 1.21s
% Output : CNFRefutation 6.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of formulae : 57 ( 39 unt; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 95 ( 44 ~; 38 |; 9 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-1 aty)
% Number of variables : 39 ( 5 sgn 13 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query_14,plain,
? [X,Y,Z] : ~ accept_population(X,Y,Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_14) ).
fof(query_14_negated,plain,
~ ? [X,Y,Z] : ~ accept_population(X,Y,Z),
inference(negate_conjecture,[status(cth)],[query_14]) ).
cnf(628,plain,
accept_population(X0,X1,X2),
inference(cnf,[status(esa)],[query_14_negated]) ).
cnf(l0,plain,
accept_population(countryamedicalorganization,native,n85),
inference(instantiation,[status(thm)],[628]) ).
fof(a2_7,plain,
! [A] :
( ( accept_population(A,atheist,n12)
& accept_population(A,christian,n3)
& accept_population(A,muslim,n0)
& accept_population(A,native,n85)
& accept_population(A,other,n0) )
<=> accept_city(A,coastvillage) ),
file('Axioms/AGT001+0.ax',a2_7) ).
cnf(47,plain,
( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| accept_city(X0,coastvillage) ),
inference(cnf,[status(esa)],[a2_7]) ).
cnf(l1,plain,
( ~ accept_population(countryamedicalorganization,other,n0)
| ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ accept_population(countryamedicalorganization,christian,n3)
| ~ accept_population(countryamedicalorganization,muslim,n0)
| ~ accept_population(countryamedicalorganization,native,n85)
| accept_city(countryamedicalorganization,coastvillage) ),
inference(instantiation,[status(thm)],[47]) ).
fof(a1_3,plain,
! [A,N,M,P] :
( ( accept_population(A,P,N)
& less(M,N) )
=> accept_population(A,P,M) ),
file('Axioms/AGT001+0.ax',a1_3) ).
cnf(5,plain,
( ~ less(X0,X1)
| ~ accept_population(X2,X3,X1)
| accept_population(X2,X3,X0) ),
inference(cnf,[status(esa)],[a1_3]) ).
cnf(l8,plain,
( ~ less(n0,n1)
| ~ accept_population(countryamedicalorganization,other,n1)
| accept_population(countryamedicalorganization,other,n0) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l77,plain,
( ~ less(n3,n4)
| ~ accept_population(countryamedicalorganization,christian,n4)
| accept_population(countryamedicalorganization,christian,n3) ),
inference(instantiation,[status(thm)],[5]) ).
fof(less_entry_point_pos_pos,plain,
! [X,Y,RDN_X,RDN_Y] :
( ( rdn_translate(X,rdn_pos(RDN_X))
& rdn_translate(Y,rdn_pos(RDN_Y))
& rdn_positive_less(RDN_X,RDN_Y) )
=> less(X,Y) ),
file('Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).
cnf(618,plain,
( ~ rdn_translate(X0,rdn_pos(X1))
| ~ rdn_translate(X2,rdn_pos(X3))
| ~ rdn_positive_less(X1,X3)
| less(X0,X2) ),
inference(cnf,[status(esa)],[less_entry_point_pos_pos]) ).
cnf(l78,plain,
( ~ rdn_translate(n3,rdn_pos(rdnn(n3)))
| ~ rdn_translate(n4,rdn_pos(rdnn(n4)))
| ~ rdn_positive_less(rdnn(n3),rdnn(n4))
| less(n3,n4) ),
inference(instantiation,[status(thm)],[618]) ).
fof(rdn3,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('Axioms/NUM005+0.ax',rdn3) ).
cnf(341,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(cnf,[status(esa)],[rdn3]) ).
cnf(l82,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(instantiation,[status(thm)],[341]) ).
cnf(l9,plain,
( ~ less(n0,n1)
| ~ accept_population(countryamedicalorganization,muslim,n1)
| accept_population(countryamedicalorganization,muslim,n0) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l17,plain,
( ~ rdn_translate(n0,rdn_pos(rdnn(n0)))
| ~ rdn_translate(n1,rdn_pos(rdnn(n1)))
| ~ rdn_positive_less(rdnn(n0),rdnn(n1))
| less(n0,n1) ),
inference(instantiation,[status(thm)],[618]) ).
fof(rdn_positive_less34,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('Axioms/NUM005+1.ax',rdn_positive_less34) ).
cnf(606,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(cnf,[status(esa)],[rdn_positive_less34]) ).
cnf(l100,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(instantiation,[status(thm)],[606]) ).
cnf(l10,plain,
( ~ rdn_translate(n0,rdn_pos(rdnn(n0)))
| ~ rdn_translate(n1,rdn_pos(rdnn(n1)))
| ~ rdn_positive_less(rdnn(n0),rdnn(n1))
| less(n0,n1) ),
inference(instantiation,[status(thm)],[618]) ).
cnf(l2,plain,
accept_population(countryamedicalorganization,atheist,n12),
inference(instantiation,[status(thm)],[628]) ).
fof(rdn0,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('Axioms/NUM005+0.ax',rdn0) ).
cnf(338,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf,[status(esa)],[rdn0]) ).
cnf(l18,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(instantiation,[status(thm)],[338]) ).
cnf(l87,plain,
accept_population(countryamedicalorganization,other,n1),
inference(instantiation,[status(thm)],[628]) ).
fof(rdn_positive_less01,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
file('Axioms/NUM005+1.ax',rdn_positive_less01) ).
cnf(603,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
inference(cnf,[status(esa)],[rdn_positive_less01]) ).
cnf(l43,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
inference(instantiation,[status(thm)],[603]) ).
fof(a1_1,plain,
! [A,C,N,L] :
( accept_team(A,L,C,N)
<=> ( accept_city(A,C)
& accept_leader(A,L)
& accept_number(A,N) ) ),
file('Axioms/AGT001+0.ax',a1_1) ).
cnf(3,plain,
( ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2)
| ~ accept_number(X0,X3)
| accept_team(X0,X1,X2,X3) ),
inference(cnf,[status(esa)],[a1_1]) ).
cnf(l4,plain,
( ~ accept_leader(countryamedicalorganization,countryacivilorganization)
| ~ accept_city(countryamedicalorganization,coastvillage)
| ~ accept_number(countryamedicalorganization,n6)
| accept_team(countryamedicalorganization,countryacivilorganization,coastvillage,n6) ),
inference(instantiation,[status(thm)],[3]) ).
fof(rdn1,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('Axioms/NUM005+0.ax',rdn1) ).
cnf(339,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(cnf,[status(esa)],[rdn1]) ).
cnf(l51,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(instantiation,[status(thm)],[339]) ).
fof(rdn4,plain,
rdn_translate(n4,rdn_pos(rdnn(n4))),
file('Axioms/NUM005+0.ax',rdn4) ).
cnf(342,plain,
rdn_translate(n4,rdn_pos(rdnn(n4))),
inference(cnf,[status(esa)],[rdn4]) ).
cnf(l90,plain,
rdn_translate(n4,rdn_pos(rdnn(n4))),
inference(instantiation,[status(thm)],[342]) ).
cnf(l67,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
inference(instantiation,[status(thm)],[603]) ).
fof(event_35,plain,
~ accept_team(countryamedicalorganization,countryacivilorganization,coastvillage,n6),
file('Axioms/AGT001+1.ax',event_35) ).
cnf(123,plain,
~ accept_team(countryamedicalorganization,countryacivilorganization,coastvillage,n6),
inference(cnf,[status(esa)],[event_35]) ).
cnf(l44,plain,
~ accept_team(countryamedicalorganization,countryacivilorganization,coastvillage,n6),
inference(instantiation,[status(thm)],[123]) ).
cnf(1,plain,
( ~ accept_team(X0,X1,X2,X3)
| accept_leader(X0,X1) ),
inference(cnf,[status(esa)],[a1_1]) ).
cnf(l6,plain,
( ~ accept_team(countryamedicalorganization,countryacivilorganization,cityb,n6)
| accept_leader(countryamedicalorganization,countryacivilorganization) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l83,plain,
accept_population(countryamedicalorganization,christian,n4),
inference(instantiation,[status(thm)],[628]) ).
cnf(l40,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(instantiation,[status(thm)],[338]) ).
fof(event_14,plain,
accept_team(countryamedicalorganization,countryacivilorganization,cityb,n6),
file('Axioms/AGT001+1.ax',event_14) ).
cnf(102,plain,
accept_team(countryamedicalorganization,countryacivilorganization,cityb,n6),
inference(cnf,[status(esa)],[event_14]) ).
cnf(l34,plain,
accept_team(countryamedicalorganization,countryacivilorganization,cityb,n6),
inference(instantiation,[status(thm)],[102]) ).
cnf(l59,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(instantiation,[status(thm)],[339]) ).
cnf(l15,plain,
accept_population(countryamedicalorganization,muslim,n1),
inference(instantiation,[status(thm)],[628]) ).
fof(event_157,plain,
accept_number(countryamedicalorganization,n6),
file('Axioms/AGT001+1.ax',event_157) ).
cnf(245,plain,
accept_number(countryamedicalorganization,n6),
inference(cnf,[status(esa)],[event_157]) ).
cnf(l7,plain,
accept_number(countryamedicalorganization,n6),
inference(instantiation,[status(thm)],[245]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l8,l77,l78,l82,l9,l17,l100,l10,l2,l18,l87,l43,l4,l51,l90,l67,l44,l6,l83,l40,l34,l59,l15,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : AGT014+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n025.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
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Sun Jul 20 01:46:34 EDT 2025
% 0.19/0.34 % CPUTime :
% 0.19/0.36 % launching worker at depth: 3
% 0.19/0.36 % launching worker at depth: 4
% 0.19/0.36 % launching worker at depth: 5
% 0.19/0.36 % launching worker at depth: 1
% 0.19/0.36 % launching worker at depth: 2
% 0.19/0.36 % launching worker at depth: 6
% 0.19/0.36 % launching worker at depth: 7
% 0.19/0.36 % launching worker at depth: 8
% 0.19/0.36 % launching worker at depth: 9
% 0.19/0.37 % launching worker at depth: 10
% 0.20/0.50 % launching worker at depth: 11
% 6.84/1.21 % SZS status Theorem for theBenchmark
% 6.84/1.21 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------