%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : AGT023+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 : n031.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 09:08:10 AM UTC 2025
% Result : Theorem 95.57s 12.38s
% Output : CNFRefutation 95.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 19
% Syntax : Number of formulae : 68 ( 32 unt; 0 def)
% Number of atoms : 146 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 131 ( 53 ~; 47 |; 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 : 30 ( 30 usr; 27 con; 0-2 aty)
% Number of variables : 53 ( 5 sgn 20 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query_23,plain,
? [X] : ~ accept_city(X,citya),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_23) ).
fof(query_23_negated,plain,
~ ? [X] : ~ accept_city(X,citya),
inference(negate_conjecture,[status(cth)],[query_23]) ).
cnf(628,plain,
accept_city(X0,citya),
inference(cnf,[status(esa)],[query_23_negated]) ).
cnf(l0,plain,
accept_city(muslimcountrybhumanitarianorganization,citya),
inference(instantiation,[status(thm)],[628]) ).
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(l1,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(l2,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(l9,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(69,plain,
( ~ accept_city(X0,citya)
| accept_population(X0,native,n0) ),
inference(cnf,[status(esa)],[a2_10]) ).
cnf(l406,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,citya)
| accept_population(muslimcountrybhumanitarianorganization,native,n0) ),
inference(instantiation,[status(thm)],[69]) ).
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(l13,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,coastvillage)
| accept_population(muslimcountrybhumanitarianorganization,other,n0) ),
inference(instantiation,[status(thm)],[52]) ).
cnf(66,plain,
( ~ accept_city(X0,citya)
| accept_population(X0,atheist,n75) ),
inference(cnf,[status(esa)],[a2_10]) ).
cnf(l34,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,citya)
| accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
inference(instantiation,[status(thm)],[66]) ).
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(l352,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(l467,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
inference(instantiation,[status(thm)],[363]) ).
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(l358,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(instantiation,[status(thm)],[362]) ).
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(l410,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(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(l403,plain,
( ~ accept_leader(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization)
| ~ accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_number(muslimcountrybhumanitarianorganization,n3)
| accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,towna,n3) ),
inference(instantiation,[status(thm)],[3]) ).
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(l199,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,cityb)
| accept_population(muslimcountrybhumanitarianorganization,muslim,n1) ),
inference(instantiation,[status(thm)],[80]) ).
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(l432,plain,
( ~ rdn_non_zero_digit(rdnn(n2))
| rdn_non_zero(rdnn(n2)) ),
inference(instantiation,[status(thm)],[616]) ).
fof(event_179,plain,
~ accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,towna,n3),
file('Axioms/AGT001+1.ax',event_179) ).
cnf(267,plain,
~ accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,towna,n3),
inference(cnf,[status(esa)],[event_179]) ).
cnf(l421,plain,
~ accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,towna,n3),
inference(instantiation,[status(thm)],[267]) ).
cnf(0,plain,
( ~ accept_team(X0,X1,X2,X3)
| accept_city(X0,X2) ),
inference(cnf,[status(esa)],[a1_1]) ).
cnf(l200,plain,
( ~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n5)
| accept_city(muslimcountrybhumanitarianorganization,cityb) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l55,plain,
( ~ accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5)
| accept_city(muslimcountrybhumanitarianorganization,coastvillage) ),
inference(instantiation,[status(thm)],[0]) ).
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(l604,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(instantiation,[status(thm)],[607]) ).
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(l436,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(instantiation,[status(thm)],[595]) ).
fof(event_98,plain,
accept_number(muslimcountrybhumanitarianorganization,n3),
file('Axioms/AGT001+1.ax',event_98) ).
cnf(186,plain,
accept_number(muslimcountrybhumanitarianorganization,n3),
inference(cnf,[status(esa)],[event_98]) ).
cnf(l405,plain,
accept_number(muslimcountrybhumanitarianorganization,n3),
inference(instantiation,[status(thm)],[186]) ).
fof(event_172,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n5),
file('Axioms/AGT001+1.ax',event_172) ).
cnf(260,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n5),
inference(cnf,[status(esa)],[event_172]) ).
cnf(l209,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n5),
inference(instantiation,[status(thm)],[260]) ).
cnf(1,plain,
( ~ accept_team(X0,X1,X2,X3)
| accept_leader(X0,X1) ),
inference(cnf,[status(esa)],[a1_1]) ).
cnf(l705,plain,
( ~ accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,townc,n6)
| accept_leader(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization) ),
inference(instantiation,[status(thm)],[1]) ).
fof(event_102,plain,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,townc,n6),
file('Axioms/AGT001+1.ax',event_102) ).
cnf(190,plain,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,townc,n6),
inference(cnf,[status(esa)],[event_102]) ).
cnf(l714,plain,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,townc,n6),
inference(instantiation,[status(thm)],[190]) ).
fof(event_13,plain,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5),
file('Axioms/AGT001+1.ax',event_13) ).
cnf(101,plain,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5),
inference(cnf,[status(esa)],[event_13]) ).
cnf(l73,plain,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5),
inference(instantiation,[status(thm)],[101]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l9,l406,l13,l34,l352,l467,l358,l410,l403,l199,l432,l421,l200,l55,l604,l436,l405,l209,l705,l714,l73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : AGT023+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n031.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 01:49:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.18/0.35 % launching worker at depth: 1
% 0.18/0.35 % launching worker at depth: 2
% 0.18/0.35 % launching worker at depth: 4
% 0.18/0.35 % launching worker at depth: 3
% 0.18/0.35 % launching worker at depth: 7
% 0.18/0.35 % launching worker at depth: 5
% 0.18/0.35 % launching worker at depth: 6
% 0.18/0.35 % launching worker at depth: 8
% 0.18/0.35 % launching worker at depth: 9
% 0.18/0.35 % launching worker at depth: 10
% 0.18/0.37 % launching worker at depth: 11
% 0.18/0.55 % launching worker at depth: 12
% 24.65/3.45 % launching worker at depth: 13
% 95.57/12.38 % SZS status Theorem for theBenchmark
% 95.57/12.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------