%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : AGT016+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 : n018.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 2.33s 0.64s
% Output : CNFRefutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of formulae : 47 ( 26 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 87 ( 36 ~; 30 |; 14 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-1 aty)
% Number of variables : 46 ( 5 sgn 20 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query_16,plain,
? [X,Y] : ~ accept_population(muslimcountrybhumanitarianorganization,X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_16) ).
fof(query_16_negated,plain,
~ ? [X,Y] : ~ accept_population(muslimcountrybhumanitarianorganization,X,Y),
inference(negate_conjecture,[status(cth)],[query_16]) ).
cnf(628,plain,
accept_population(muslimcountrybhumanitarianorganization,X0,X1),
inference(cnf,[status(esa)],[query_16_negated]) ).
cnf(l0,plain,
accept_population(muslimcountrybhumanitarianorganization,native,n0),
inference(instantiation,[status(thm)],[628]) ).
fof(a2_9,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) ),
file('Axioms/AGT001+0.ax',a2_9) ).
cnf(59,plain,
( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| accept_city(X0,towna) ),
inference(cnf,[status(esa)],[a2_9]) ).
cnf(l1,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(instantiation,[status(thm)],[59]) ).
cnf(l2,plain,
accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
inference(instantiation,[status(thm)],[628]) ).
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(muslimcountrybhumanitarianorganization,other,n1)
| accept_population(muslimcountrybhumanitarianorganization,other,n0) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l32,plain,
accept_population(muslimcountrybhumanitarianorganization,other,n1),
inference(instantiation,[status(thm)],[628]) ).
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(l28,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(a1_6,plain,
! [A,L,C] :
( the_agent_not_in_any_proposed_teams(A,L,C)
=> ~ ( accept_city(A,C)
& accept_leader(A,L) ) ),
file('Axioms/AGT001+0.ax',a1_6) ).
cnf(9,plain,
( ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(cnf,[status(esa)],[a1_6]) ).
cnf(l4,plain,
( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
| ~ accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna) ),
inference(instantiation,[status(thm)],[9]) ).
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(l40,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(instantiation,[status(thm)],[338]) ).
cnf(l94,plain,
accept_population(muslimcountrybhumanitarianorganization,christian,n24),
inference(instantiation,[status(thm)],[628]) ).
fof(a2_12,plain,
! [A] :
( ( accept_population(A,atheist,n78)
& accept_population(A,christian,n20)
& accept_population(A,muslim,n1)
& accept_population(A,native,n0)
& accept_population(A,other,n1) )
<=> accept_city(A,cityb) ),
file('Axioms/AGT001+0.ax',a2_12) ).
cnf(80,plain,
( ~ accept_city(X0,cityb)
| accept_population(X0,muslim,n1) ),
inference(cnf,[status(esa)],[a2_12]) ).
cnf(l9,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,cityb)
| accept_population(muslimcountrybhumanitarianorganization,muslim,n1) ),
inference(instantiation,[status(thm)],[80]) ).
fof(event_11,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('Axioms/AGT001+1.ax',event_11) ).
cnf(99,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(cnf,[status(esa)],[event_11]) ).
cnf(l7,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(instantiation,[status(thm)],[99]) ).
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(l81,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
inference(instantiation,[status(thm)],[603]) ).
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(l41,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(instantiation,[status(thm)],[339]) ).
fof(a1_5,plain,
! [A,L,C] :
( any_agent_in_all_proposed_teams(A,L,C)
=> accept_leader(A,L) ),
file('Axioms/AGT001+0.ax',a1_5) ).
cnf(8,plain,
( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
| accept_leader(X0,X1) ),
inference(cnf,[status(esa)],[a1_5]) ).
cnf(l6,plain,
( ~ any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)
| accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ),
inference(instantiation,[status(thm)],[8]) ).
fof(event_12,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('Axioms/AGT001+1.ax',event_12) ).
cnf(100,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(cnf,[status(esa)],[event_12]) ).
cnf(l37,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(instantiation,[status(thm)],[100]) ).
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(0,plain,
( ~ accept_team(X0,X1,X2,X3)
| accept_city(X0,X2) ),
inference(cnf,[status(esa)],[a1_1]) ).
cnf(l10,plain,
( ~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n6)
| accept_city(muslimcountrybhumanitarianorganization,cityb) ),
inference(instantiation,[status(thm)],[0]) ).
fof(event_173,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n6),
file('Axioms/AGT001+1.ax',event_173) ).
cnf(261,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n6),
inference(cnf,[status(esa)],[event_173]) ).
cnf(l13,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n6),
inference(instantiation,[status(thm)],[261]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l8,l32,l28,l4,l40,l94,l9,l7,l81,l41,l6,l37,l10,l13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : AGT016+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 01:46:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 0.18/0.47 % launching worker at depth: 11
% 2.33/0.64 % SZS status Theorem for theBenchmark
% 2.33/0.64 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------