%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : AGT009+2 : 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 : n028.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 160.82s 20.61s
% Output : CNFRefutation 160.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 17
% Syntax : Number of formulae : 58 ( 26 unt; 0 def)
% Number of atoms : 128 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 115 ( 45 ~; 39 |; 22 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 26 ( 26 usr; 23 con; 0-2 aty)
% Number of variables : 42 ( 2 sgn 20 !; 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(995,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)],[995]) ).
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(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]) ).
cnf(70,plain,
( ~ accept_city(X0,citya)
| accept_population(X0,other,n0) ),
inference(cnf,[status(esa)],[a2_10]) ).
cnf(l8,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,citya)
| accept_population(muslimcountrybhumanitarianorganization,other,n0) ),
inference(instantiation,[status(thm)],[70]) ).
fof(deduced_366,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
file('Axioms/AGT001+2.ax',deduced_366) ).
cnf(703,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference(cnf,[status(esa)],[deduced_366]) ).
cnf(l2365,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference(instantiation,[status(thm)],[703]) ).
cnf(66,plain,
( ~ accept_city(X0,citya)
| accept_population(X0,atheist,n75) ),
inference(cnf,[status(esa)],[a2_10]) ).
cnf(l5,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,citya)
| accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
inference(instantiation,[status(thm)],[66]) ).
fof(a2_13,plain,
! [A] :
( ( accept_population(A,atheist,n30)
& accept_population(A,christian,n0)
& accept_population(A,muslim,n65)
& accept_population(A,native,n0)
& accept_population(A,other,n5) )
<=> accept_city(A,townc) ),
file('Axioms/AGT001+0.ax',a2_13) ).
cnf(87,plain,
( ~ accept_city(X0,townc)
| accept_population(X0,native,n0) ),
inference(cnf,[status(esa)],[a2_13]) ).
cnf(l1086,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,townc)
| accept_population(muslimcountrybhumanitarianorganization,native,n0) ),
inference(instantiation,[status(thm)],[87]) ).
fof(deduced_200,plain,
accept_city(muslimcountrybhumanitarianorganization,townc),
file('Axioms/AGT001+2.ax',deduced_200) ).
cnf(537,plain,
accept_city(muslimcountrybhumanitarianorganization,townc),
inference(cnf,[status(esa)],[deduced_200]) ).
cnf(l1087,plain,
accept_city(muslimcountrybhumanitarianorganization,townc),
inference(instantiation,[status(thm)],[537]) ).
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(l67,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,cityb)
| accept_population(muslimcountrybhumanitarianorganization,muslim,n1) ),
inference(instantiation,[status(thm)],[80]) ).
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(985,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(l6,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)],[985]) ).
cnf(l83,plain,
( ~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4)
| accept_city(muslimcountrybhumanitarianorganization,cityb) ),
inference(instantiation,[status(thm)],[0]) ).
fof(rdn24,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('Axioms/NUM005+0.ax',rdn24) ).
cnf(729,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(cnf,[status(esa)],[rdn24]) ).
cnf(l16,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(instantiation,[status(thm)],[729]) ).
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(l84,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
inference(instantiation,[status(thm)],[96]) ).
fof(rdn25,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
file('Axioms/NUM005+0.ax',rdn25) ).
cnf(730,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
inference(cnf,[status(esa)],[rdn25]) ).
cnf(l12,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
inference(instantiation,[status(thm)],[730]) ).
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(981,plain,
( ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_non_zero(X2)
| rdn_positive_less(rdn(rdnn(X0),X2),rdn(rdnn(X1),X2)) ),
inference(cnf,[status(esa)],[rdn_positive_less_multi_digit_low]) ).
cnf(l771,plain,
( ~ rdn_positive_less(rdnn(n4),rdnn(n5))
| ~ rdn_non_zero(rdnn(n2))
| rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),rdn(rdnn(n5),rdnn(n2))) ),
inference(instantiation,[status(thm)],[981]) ).
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(983,plain,
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf,[status(esa)],[rdn_non_zero_by_digit]) ).
cnf(l773,plain,
( ~ rdn_non_zero_digit(rdnn(n2))
| rdn_non_zero(rdnn(n2)) ),
inference(instantiation,[status(thm)],[983]) ).
fof(rdn_positive_less45,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('Axioms/NUM005+1.ax',rdn_positive_less45) ).
cnf(974,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf,[status(esa)],[rdn_positive_less45]) ).
cnf(l772,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(instantiation,[status(thm)],[974]) ).
fof(rdn_digit2,plain,
rdn_non_zero_digit(rdnn(n2)),
file('Axioms/NUM005+1.ax',rdn_digit2) ).
cnf(962,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf,[status(esa)],[rdn_digit2]) ).
cnf(l775,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(instantiation,[status(thm)],[962]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l8,l2365,l5,l1086,l1087,l67,l6,l83,l16,l84,l12,l771,l773,l772,l775]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : AGT009+2 : TPTP v9.0.0. Bugfixed v3.1.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Jul 20 01:44:49 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.36 % launching worker at depth: 1
% 0.14/0.36 % launching worker at depth: 5
% 0.14/0.36 % launching worker at depth: 6
% 0.14/0.36 % launching worker at depth: 7
% 0.14/0.36 % launching worker at depth: 4
% 0.14/0.36 % launching worker at depth: 3
% 0.14/0.36 % launching worker at depth: 2
% 0.14/0.36 % launching worker at depth: 8
% 0.14/0.36 % launching worker at depth: 9
% 0.14/0.37 % launching worker at depth: 10
% 0.14/0.38 % launching worker at depth: 11
% 0.20/0.55 % launching worker at depth: 12
% 18.13/2.62 % launching worker at depth: 13
% 160.82/20.61 % SZS status Theorem for theBenchmark
% 160.82/20.61 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------