%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : AGT009+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 09:08:08 AM UTC 2025
% Result : Theorem 209.16s 26.51s
% Output : CNFRefutation 209.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 21
% Syntax : Number of formulae : 72 ( 32 unt; 0 def)
% Number of atoms : 153 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 134 ( 53 ~; 47 |; 23 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 30 ( 30 usr; 27 con; 0-2 aty)
% Number of variables : 54 ( 3 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query_9,plain,
~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_9) ).
fof(query_9_negated,plain,
~ ~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
inference(negate_conjecture,[status(cth)],[query_9]) ).
cnf(628,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
inference(cnf,[status(esa)],[query_9_negated]) ).
cnf(l0,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
inference(instantiation,[status(thm)],[628]) ).
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(l1,plain,
( ~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2)
| accept_city(muslimcountrybhumanitarianorganization,citya) ),
inference(instantiation,[status(thm)],[0]) ).
fof(a2_10,plain,
! [A] :
( ( accept_population(A,atheist,n75)
& accept_population(A,christian,n25)
& accept_population(A,muslim,n0)
& accept_population(A,native,n0)
& accept_population(A,other,n0) )
<=> accept_city(A,citya) ),
file('Axioms/AGT001+0.ax',a2_10) ).
cnf(67,plain,
( ~ accept_city(X0,citya)
| accept_population(X0,christian,n25) ),
inference(cnf,[status(esa)],[a2_10]) ).
cnf(l2,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,citya)
| accept_population(muslimcountrybhumanitarianorganization,christian,n25) ),
inference(instantiation,[status(thm)],[67]) ).
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(l3,plain,
( ~ less(n24,n25)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n25)
| accept_population(muslimcountrybhumanitarianorganization,christian,n24) ),
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(l27,plain,
( ~ rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2))))
| ~ rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2))))
| ~ rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),rdn(rdnn(n5),rdnn(n2)))
| less(n24,n25) ),
inference(instantiation,[status(thm)],[618]) ).
fof(rdn25,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
file('Axioms/NUM005+0.ax',rdn25) ).
cnf(363,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
inference(cnf,[status(esa)],[rdn25]) ).
cnf(l33,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
inference(instantiation,[status(thm)],[363]) ).
fof(rdn_positive_less_multi_digit_low,plain,
! [Ds,O,Db] :
( ( rdn_positive_less(rdnn(Ds),rdnn(Db))
& rdn_non_zero(O) )
=> rdn_positive_less(rdn(rdnn(Ds),O),rdn(rdnn(Db),O)) ),
file('Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_low) ).
cnf(614,plain,
( ~ rdn_non_zero(X0)
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| rdn_positive_less(rdn(rdnn(X1),X0),rdn(rdnn(X2),X0)) ),
inference(cnf,[status(esa)],[rdn_positive_less_multi_digit_low]) ).
cnf(l121,plain,
( ~ rdn_non_zero(rdnn(n2))
| ~ rdn_positive_less(rdnn(n4),rdnn(n5))
| rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),rdn(rdnn(n5),rdnn(n2))) ),
inference(instantiation,[status(thm)],[614]) ).
fof(rdn_positive_less45,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('Axioms/NUM005+1.ax',rdn_positive_less45) ).
cnf(607,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf,[status(esa)],[rdn_positive_less45]) ).
cnf(l122,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(instantiation,[status(thm)],[607]) ).
fof(rdn24,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('Axioms/NUM005+0.ax',rdn24) ).
cnf(362,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(cnf,[status(esa)],[rdn24]) ).
cnf(l37,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(instantiation,[status(thm)],[362]) ).
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(l4,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]) ).
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(l259,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,cityb)
| accept_population(muslimcountrybhumanitarianorganization,muslim,n1) ),
inference(instantiation,[status(thm)],[80]) ).
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(l333,plain,
( ~ accept_leader(muslimcountrybhumanitarianorganization,sufferterragovernment)
| ~ accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna) ),
inference(instantiation,[status(thm)],[9]) ).
fof(rdn_non_zero_by_digit,plain,
! [X] :
( rdn_non_zero_digit(rdnn(X))
=> rdn_non_zero(rdnn(X)) ),
file('Axioms/NUM005+1.ax',rdn_non_zero_by_digit) ).
cnf(616,plain,
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf,[status(esa)],[rdn_non_zero_by_digit]) ).
cnf(l124,plain,
( ~ rdn_non_zero_digit(rdnn(n2))
| rdn_non_zero(rdnn(n2)) ),
inference(instantiation,[status(thm)],[616]) ).
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(52,plain,
( ~ accept_city(X0,coastvillage)
| accept_population(X0,other,n0) ),
inference(cnf,[status(esa)],[a2_7]) ).
cnf(l8,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,coastvillage)
| accept_population(muslimcountrybhumanitarianorganization,other,n0) ),
inference(instantiation,[status(thm)],[52]) ).
fof(rdn_digit2,plain,
rdn_non_zero_digit(rdnn(n2)),
file('Axioms/NUM005+1.ax',rdn_digit2) ).
cnf(595,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf,[status(esa)],[rdn_digit2]) ).
cnf(l372,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(instantiation,[status(thm)],[595]) ).
cnf(l14,plain,
( ~ accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n6)
| accept_city(muslimcountrybhumanitarianorganization,coastvillage) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(66,plain,
( ~ accept_city(X0,citya)
| accept_population(X0,atheist,n75) ),
inference(cnf,[status(esa)],[a2_10]) ).
cnf(l156,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,citya)
| accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
inference(instantiation,[status(thm)],[66]) ).
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(l343,plain,
( ~ any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna)
| accept_leader(muslimcountrybhumanitarianorganization,sufferterragovernment) ),
inference(instantiation,[status(thm)],[8]) ).
fof(event_249,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
file('Axioms/AGT001+1.ax',event_249) ).
cnf(337,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
inference(cnf,[status(esa)],[event_249]) ).
cnf(l344,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
inference(instantiation,[status(thm)],[337]) ).
cnf(l260,plain,
( ~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4)
| accept_city(muslimcountrybhumanitarianorganization,cityb) ),
inference(instantiation,[status(thm)],[0]) ).
fof(event_97,plain,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n6),
file('Axioms/AGT001+1.ax',event_97) ).
cnf(185,plain,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n6),
inference(cnf,[status(esa)],[event_97]) ).
cnf(l21,plain,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n6),
inference(instantiation,[status(thm)],[185]) ).
cnf(81,plain,
( ~ accept_city(X0,cityb)
| accept_population(X0,native,n0) ),
inference(cnf,[status(esa)],[a2_12]) ).
cnf(l334,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,cityb)
| accept_population(muslimcountrybhumanitarianorganization,native,n0) ),
inference(instantiation,[status(thm)],[81]) ).
fof(event_8,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
file('Axioms/AGT001+1.ax',event_8) ).
cnf(96,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
inference(cnf,[status(esa)],[event_8]) ).
cnf(l261,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
inference(instantiation,[status(thm)],[96]) ).
cnf(l336,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(l351,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n6),
inference(instantiation,[status(thm)],[261]) ).
fof(event_248,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
file('Axioms/AGT001+1.ax',event_248) ).
cnf(336,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
inference(cnf,[status(esa)],[event_248]) ).
cnf(l361,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
inference(instantiation,[status(thm)],[336]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l27,l33,l121,l122,l37,l4,l259,l333,l124,l8,l372,l14,l156,l343,l344,l260,l21,l334,l261,l336,l351,l361]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.08 % Problem : AGT009+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% 0.06/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.28 % Computer : n018.cluster.edu
% 0.07/0.28 % Model : x86_64 x86_64
% 0.07/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.28 % Memory : 8042.1875MB
% 0.07/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.28 % CPULimit : 300
% 0.07/0.28 % WCLimit : 300
% 0.07/0.28 % DateTime : Sun Jul 20 01:45:04 EDT 2025
% 0.07/0.28 % CPUTime :
% 0.07/0.28 % launching worker at depth: 1
% 0.07/0.28 % launching worker at depth: 3
% 0.07/0.28 % launching worker at depth: 4
% 0.07/0.28 % launching worker at depth: 5
% 0.07/0.29 % launching worker at depth: 2
% 0.07/0.29 % launching worker at depth: 6
% 0.07/0.29 % launching worker at depth: 7
% 0.07/0.29 % launching worker at depth: 8
% 0.07/0.29 % launching worker at depth: 9
% 0.07/0.29 % launching worker at depth: 10
% 0.07/0.29 % launching worker at depth: 11
% 0.10/0.38 % launching worker at depth: 12
% 15.07/2.19 % launching worker at depth: 13
% 110.60/14.18 % launching worker at depth: 14
% 209.16/26.51 % SZS status Theorem for theBenchmark
% 209.16/26.51 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------