%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : AGT020+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:47:14 AM UTC 2026
% Result : Theorem 128.00s 16.53s
% Output : CNFRefutation 128.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 23
% Syntax : Number of formulae : 108 ( 32 unt; 0 def)
% Number of atoms : 343 ( 26 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 394 ( 159 ~; 162 |; 61 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 29 ( 29 usr; 26 con; 0-2 aty)
% Number of variables : 156 ( 152 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,C,N,L] :
( accept_team(A,L,C,N)
<=> ( accept_number(A,N)
& accept_leader(A,L)
& accept_city(A,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,N,M,P] :
( ( less(M,N)
& accept_population(A,P,N) )
=> accept_population(A,P,M) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,L,C] :
( any_agent_in_all_proposed_teams(A,L,C)
=> accept_leader(A,L) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,L,C] :
( the_agent_not_in_any_proposed_teams(A,L,C)
=> ~ ( accept_leader(A,L)
& accept_city(A,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A] :
( ( accept_population(A,other,n0)
& accept_population(A,native,n85)
& accept_population(A,muslim,n0)
& accept_population(A,christian,n3)
& accept_population(A,atheist,n12) )
<=> accept_city(A,coastvillage) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A] :
( ( accept_population(A,other,n0)
& accept_population(A,native,n0)
& accept_population(A,muslim,n1)
& accept_population(A,christian,n24)
& accept_population(A,atheist,n75) )
<=> accept_city(A,towna) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [A] :
( ( accept_population(A,other,n1)
& accept_population(A,native,n0)
& accept_population(A,muslim,n1)
& accept_population(A,christian,n20)
& accept_population(A,atheist,n78) )
<=> accept_city(A,cityb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f268,axiom,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f269,axiom,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f345,axiom,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f348,axiom,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f532,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f540,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f541,axiom,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f542,axiom,
rdn_positive_less(rdnn(n7),rdnn(n8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f544,axiom,
! [X,Y,Z] :
( ( rdn_positive_less(rdnn(Y),rdnn(Z))
& rdn_positive_less(rdnn(X),rdnn(Y)) )
=> rdn_positive_less(rdnn(X),rdnn(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f546,axiom,
! [Ds,O,Db] :
( ( rdn_non_zero(O)
& rdn_positive_less(rdnn(Ds),rdnn(Db)) )
=> rdn_positive_less(rdn(rdnn(Ds),O),rdn(rdnn(Db),O)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f548,axiom,
! [X] :
( rdn_non_zero_digit(rdnn(X))
=> rdn_non_zero(rdnn(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f550,axiom,
! [X,Y,RDN_X,RDN_Y] :
( ( rdn_positive_less(RDN_X,RDN_Y)
& rdn_translate(Y,rdn_pos(RDN_Y))
& rdn_translate(X,rdn_pos(RDN_X)) )
=> less(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f553,axiom,
! [X,Y] :
( less(X,Y)
<=> ( Y != X
& ~ less(Y,X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f556,conjecture,
? [X,Y] : ~ accept_population(X,christian,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f557,negated_conjecture,
~ ? [X,Y] : ~ accept_population(X,christian,Y),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f558,plain,
! [A,C,N,L] :
( ( ~ accept_number(A,N)
| ~ accept_leader(A,L)
| ~ accept_city(A,C)
| accept_team(A,L,C,N) )
& ( ( accept_number(A,N)
& accept_leader(A,L)
& accept_city(A,C) )
| ~ accept_team(A,L,C,N) ) ),
inference(NNF_transformation,[status(thm)],[f1]) ).
fof(f559,plain,
( ! [A,C,N,L] :
( ~ accept_number(A,N)
| ~ accept_leader(A,L)
| ~ accept_city(A,C)
| accept_team(A,L,C,N) )
& ! [A,C,N,L] :
( ( accept_number(A,N)
& accept_leader(A,L)
& accept_city(A,C) )
| ~ accept_team(A,L,C,N) ) ),
inference(miniscoping,[status(thm)],[f558]) ).
fof(f560,plain,
! [X0,X1,X2,X3] :
( accept_city(X0,X2)
| ~ accept_team(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f559]) ).
fof(f567,plain,
! [A,N,M,P] :
( accept_population(A,P,M)
| ~ less(M,N)
| ~ accept_population(A,P,N) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f568,plain,
! [A,M,P] :
( accept_population(A,P,M)
| ! [N] :
( ~ less(M,N)
| ~ accept_population(A,P,N) ) ),
inference(miniscoping,[status(thm)],[f567]) ).
fof(f569,plain,
! [X0,X1,X2,X3] :
( ~ less(X2,X3)
| ~ accept_population(X0,X1,X3)
| accept_population(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f568]) ).
fof(f573,plain,
! [A,L,C] :
( accept_leader(A,L)
| ~ any_agent_in_all_proposed_teams(A,L,C) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f574,plain,
! [A,L] :
( accept_leader(A,L)
| ! [C] : ~ any_agent_in_all_proposed_teams(A,L,C) ),
inference(miniscoping,[status(thm)],[f573]) ).
fof(f575,plain,
! [X0,X1,X2] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f574]) ).
fof(f576,plain,
! [A,L,C] :
( ~ accept_leader(A,L)
| ~ accept_city(A,C)
| ~ the_agent_not_in_any_proposed_teams(A,L,C) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f577,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f576]) ).
fof(f628,plain,
! [A] :
( ( ~ accept_city(A,coastvillage)
| ( accept_population(A,other,n0)
& accept_population(A,native,n85)
& accept_population(A,muslim,n0)
& accept_population(A,christian,n3)
& accept_population(A,atheist,n12) ) )
& ( accept_city(A,coastvillage)
| ~ accept_population(A,other,n0)
| ~ accept_population(A,native,n85)
| ~ accept_population(A,muslim,n0)
| ~ accept_population(A,christian,n3)
| ~ accept_population(A,atheist,n12) ) ),
inference(NNF_transformation,[status(thm)],[f14]) ).
fof(f629,plain,
( ! [A] :
( ~ accept_city(A,coastvillage)
| ( accept_population(A,other,n0)
& accept_population(A,native,n85)
& accept_population(A,muslim,n0)
& accept_population(A,christian,n3)
& accept_population(A,atheist,n12) ) )
& ! [A] :
( accept_city(A,coastvillage)
| ~ accept_population(A,other,n0)
| ~ accept_population(A,native,n85)
| ~ accept_population(A,muslim,n0)
| ~ accept_population(A,christian,n3)
| ~ accept_population(A,atheist,n12) ) ),
inference(miniscoping,[status(thm)],[f628]) ).
fof(f635,plain,
! [X0] :
( ~ accept_city(X0,coastvillage)
| accept_population(X0,other,n0) ),
inference(cnf_transformation,[status(thm)],[f629]) ).
fof(f644,plain,
! [A] :
( ( ~ accept_city(A,towna)
| ( accept_population(A,other,n0)
& accept_population(A,native,n0)
& accept_population(A,muslim,n1)
& accept_population(A,christian,n24)
& accept_population(A,atheist,n75) ) )
& ( accept_city(A,towna)
| ~ accept_population(A,other,n0)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,christian,n24)
| ~ accept_population(A,atheist,n75) ) ),
inference(NNF_transformation,[status(thm)],[f16]) ).
fof(f645,plain,
( ! [A] :
( ~ accept_city(A,towna)
| ( accept_population(A,other,n0)
& accept_population(A,native,n0)
& accept_population(A,muslim,n1)
& accept_population(A,christian,n24)
& accept_population(A,atheist,n75) ) )
& ! [A] :
( accept_city(A,towna)
| ~ accept_population(A,other,n0)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,christian,n24)
| ~ accept_population(A,atheist,n75) ) ),
inference(miniscoping,[status(thm)],[f644]) ).
fof(f646,plain,
! [X0] :
( ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,native,n0)
| accept_city(X0,towna) ),
inference(cnf_transformation,[status(thm)],[f645]) ).
fof(f668,plain,
! [A] :
( ( ~ accept_city(A,cityb)
| ( accept_population(A,other,n1)
& accept_population(A,native,n0)
& accept_population(A,muslim,n1)
& accept_population(A,christian,n20)
& accept_population(A,atheist,n78) ) )
& ( accept_city(A,cityb)
| ~ accept_population(A,other,n1)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,christian,n20)
| ~ accept_population(A,atheist,n78) ) ),
inference(NNF_transformation,[status(thm)],[f19]) ).
fof(f669,plain,
( ! [A] :
( ~ accept_city(A,cityb)
| ( accept_population(A,other,n1)
& accept_population(A,native,n0)
& accept_population(A,muslim,n1)
& accept_population(A,christian,n20)
& accept_population(A,atheist,n78) ) )
& ! [A] :
( accept_city(A,cityb)
| ~ accept_population(A,other,n1)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,christian,n20)
| ~ accept_population(A,atheist,n78) ) ),
inference(miniscoping,[status(thm)],[f668]) ).
fof(f671,plain,
! [X0] :
( accept_population(X0,atheist,n78)
| ~ accept_city(X0,cityb) ),
inference(cnf_transformation,[status(thm)],[f669]) ).
fof(f673,plain,
! [X0] :
( ~ accept_city(X0,cityb)
| accept_population(X0,muslim,n1) ),
inference(cnf_transformation,[status(thm)],[f669]) ).
fof(f674,plain,
! [X0] :
( ~ accept_city(X0,cityb)
| accept_population(X0,native,n0) ),
inference(cnf_transformation,[status(thm)],[f669]) ).
fof(f691,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f696,plain,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f931,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
inference(cnf_transformation,[status(thm)],[f268]) ).
fof(f932,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
inference(cnf_transformation,[status(thm)],[f269]) ).
fof(f1008,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f1011,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
inference(cnf_transformation,[status(thm)],[f348]) ).
fof(f1195,plain,
rdn_non_zero_digit(rdnn(n7)),
inference(cnf_transformation,[status(thm)],[f532]) ).
fof(f1203,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
inference(cnf_transformation,[status(thm)],[f540]) ).
fof(f1204,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
inference(cnf_transformation,[status(thm)],[f541]) ).
fof(f1205,plain,
rdn_positive_less(rdnn(n7),rdnn(n8)),
inference(cnf_transformation,[status(thm)],[f542]) ).
fof(f1207,plain,
! [X,Y,Z] :
( rdn_positive_less(rdnn(X),rdnn(Z))
| ~ rdn_positive_less(rdnn(Y),rdnn(Z))
| ~ rdn_positive_less(rdnn(X),rdnn(Y)) ),
inference(pre_NNF_transformation,[status(thm)],[f544]) ).
fof(f1208,plain,
! [X,Z] :
( rdn_positive_less(rdnn(X),rdnn(Z))
| ! [Y] :
( ~ rdn_positive_less(rdnn(Y),rdnn(Z))
| ~ rdn_positive_less(rdnn(X),rdnn(Y)) ) ),
inference(miniscoping,[status(thm)],[f1207]) ).
fof(f1209,plain,
! [X0,X1,X2] :
( ~ rdn_positive_less(rdnn(X2),rdnn(X0))
| rdn_positive_less(rdnn(X2),rdnn(X1))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(cnf_transformation,[status(thm)],[f1208]) ).
fof(f1213,plain,
! [Ds,O,Db] :
( rdn_positive_less(rdn(rdnn(Ds),O),rdn(rdnn(Db),O))
| ~ rdn_non_zero(O)
| ~ rdn_positive_less(rdnn(Ds),rdnn(Db)) ),
inference(pre_NNF_transformation,[status(thm)],[f546]) ).
fof(f1214,plain,
! [X0,X1,X2] :
( ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_non_zero(X1)
| rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) ),
inference(cnf_transformation,[status(thm)],[f1213]) ).
fof(f1218,plain,
! [X] :
( rdn_non_zero(rdnn(X))
| ~ rdn_non_zero_digit(rdnn(X)) ),
inference(pre_NNF_transformation,[status(thm)],[f548]) ).
fof(f1219,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(cnf_transformation,[status(thm)],[f1218]) ).
fof(f1223,plain,
! [X,Y,RDN_X,RDN_Y] :
( less(X,Y)
| ~ rdn_positive_less(RDN_X,RDN_Y)
| ~ rdn_translate(Y,rdn_pos(RDN_Y))
| ~ rdn_translate(X,rdn_pos(RDN_X)) ),
inference(pre_NNF_transformation,[status(thm)],[f550]) ).
fof(f1224,plain,
! [X,Y] :
( less(X,Y)
| ! [RDN_X,RDN_Y] :
( ~ rdn_positive_less(RDN_X,RDN_Y)
| ~ rdn_translate(Y,rdn_pos(RDN_Y))
| ~ rdn_translate(X,rdn_pos(RDN_X)) ) ),
inference(miniscoping,[status(thm)],[f1223]) ).
fof(f1225,plain,
! [X0,X1,X2,X3] :
( ~ rdn_translate(X3,rdn_pos(X1))
| less(X2,X3)
| ~ rdn_translate(X2,rdn_pos(X0))
| ~ rdn_positive_less(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1224]) ).
fof(f1232,plain,
! [X,Y] :
( ( Y = X
| less(Y,X)
| less(X,Y) )
& ( ( Y != X
& ~ less(Y,X) )
| ~ less(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f553]) ).
fof(f1233,plain,
( ! [X,Y] :
( Y = X
| less(Y,X)
| less(X,Y) )
& ! [X,Y] :
( ( Y != X
& ~ less(Y,X) )
| ~ less(X,Y) ) ),
inference(miniscoping,[status(thm)],[f1232]) ).
fof(f1234,plain,
! [X0,X1] :
( ~ less(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1233]) ).
fof(f1236,plain,
! [X0,X1] :
( less(X1,X0)
| less(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f1233]) ).
fof(f1245,plain,
! [X,Y] : accept_population(X,christian,Y),
inference(pre_NNF_transformation,[status(thm)],[f557]) ).
fof(f1246,plain,
! [X0,X1] : accept_population(X0,christian,X1),
inference(cnf_transformation,[status(thm)],[f1245]) ).
fof(f1258,plain,
rdn_non_zero(rdnn(n7)),
inference(resolution,[status(thm)],[f1219,f1195]) ).
fof(f1321,plain,
accept_leader(muslimcountrybhumanitarianorganization,sufferterragovernment),
inference(resolution,[status(thm)],[f575,f932]) ).
fof(f1371,plain,
accept_city(muslimcountrybhumanitarianorganization,coastvillage),
inference(resolution,[status(thm)],[f696,f560]) ).
fof(f1373,plain,
accept_city(muslimcountrybhumanitarianorganization,cityb),
inference(resolution,[status(thm)],[f691,f560]) ).
fof(f1494,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_leader(muslimcountrybhumanitarianorganization,sufferterragovernment) ),
inference(resolution,[status(thm)],[f577,f931]) ).
fof(f1497,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference(forward_subsumption_resolution,[status(thm)],[f1494,f1321]) ).
fof(f1709,plain,
! [X0,X1,X2,X3] :
( X3 = X2
| accept_population(X0,X1,X3)
| less(X2,X3)
| ~ accept_population(X0,X1,X2) ),
inference(resolution,[status(thm)],[f569,f1236]) ).
fof(f1711,plain,
! [X0,X1,X2,X3] :
( ~ rdn_translate(X3,rdn_pos(X2))
| ~ less(X3,X0)
| ~ rdn_positive_less(X1,X2)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[status(thm)],[f1225,f1234]) ).
fof(f1754,plain,
! [X0] :
( ~ accept_population(X0,native,n0)
| ~ accept_population(X0,atheist,n75)
| accept_city(X0,towna)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,muslim,n1) ),
inference(forward_subsumption_resolution,[status(thm)],[f646,f1246]) ).
fof(f2018,plain,
! [X0,X1] :
( less(n78,X0)
| accept_population(X1,atheist,X0)
| ~ accept_city(X1,cityb)
| n78 = X0 ),
inference(resolution,[status(thm)],[f1709,f671]) ).
fof(f2212,plain,
! [X0] :
( less(n78,X0)
| accept_population(muslimcountrybhumanitarianorganization,atheist,X0)
| n78 = X0 ),
inference(resolution,[status(thm)],[f2018,f1373]) ).
fof(f2312,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| less(n78,n75)
| n78 = n75 ),
inference(resolution,[status(thm)],[f2212,f1754]) ).
fof(f2326,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| less(n78,n75)
| n78 = n75
| ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2312,f1497]) ).
fof(f2546,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,cityb)
| less(n78,n75)
| n78 = n75
| ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0) ),
inference(resolution,[status(thm)],[f2326,f673]) ).
fof(f2549,plain,
( n78 = n75
| ~ accept_city(muslimcountrybhumanitarianorganization,cityb)
| less(n78,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,other,n0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2546,f674]) ).
fof(f2550,plain,
( n75 = n78
| ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| less(n78,n75) ),
inference(forward_subsumption_resolution,[status(thm)],[f2549,f1373]) ).
fof(f2554,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,coastvillage)
| n75 = n78
| less(n78,n75) ),
inference(resolution,[status(thm)],[f2550,f635]) ).
fof(f2559,plain,
( n75 = n78
| less(n78,n75) ),
inference(forward_subsumption_resolution,[status(thm)],[f2554,f1371]) ).
fof(f2560,plain,
! [X0,X1] :
( ~ rdn_translate(n78,rdn_pos(X1))
| ~ rdn_translate(n75,rdn_pos(X0))
| ~ rdn_positive_less(X0,X1)
| n78 = n75 ),
inference(resolution,[status(thm)],[f2559,f1711]) ).
fof(f2613,plain,
! [X0] :
( ~ rdn_translate(n75,rdn_pos(X0))
| n75 = n78
| ~ rdn_positive_less(X0,rdn(rdnn(n8),rdnn(n7))) ),
inference(resolution,[status(thm)],[f2560,f1011]) ).
fof(f5479,plain,
( n78 = n75
| ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n7)),rdn(rdnn(n8),rdnn(n7))) ),
inference(resolution,[status(thm)],[f2613,f1008]) ).
fof(f11173,plain,
( ~ rdn_positive_less(rdnn(n5),rdnn(n8))
| ~ rdn_non_zero(rdnn(n7))
| n78 = n75 ),
inference(resolution,[status(thm)],[f5479,f1214]) ).
fof(f11175,plain,
( ~ rdn_positive_less(rdnn(n5),rdnn(n8))
| n78 = n75 ),
inference(forward_subsumption_resolution,[status(thm)],[f11173,f1258]) ).
fof(f11177,plain,
! [X0] :
( n75 = n78
| ~ rdn_positive_less(rdnn(X0),rdnn(n8))
| ~ rdn_positive_less(rdnn(n5),rdnn(X0)) ),
inference(resolution,[status(thm)],[f11175,f1209]) ).
fof(f11183,plain,
( ~ rdn_positive_less(rdnn(n6),rdnn(n8))
| n78 = n75 ),
inference(resolution,[status(thm)],[f11177,f1203]) ).
fof(f11185,plain,
! [X0] :
( n78 = n75
| ~ rdn_positive_less(rdnn(n6),rdnn(X0))
| ~ rdn_positive_less(rdnn(X0),rdnn(n8)) ),
inference(resolution,[status(thm)],[f11183,f1209]) ).
fof(f11199,plain,
( n78 = n75
| ~ rdn_positive_less(rdnn(n7),rdnn(n8)) ),
inference(resolution,[status(thm)],[f11185,f1204]) ).
fof(f11201,plain,
n75 = n78,
inference(forward_subsumption_resolution,[status(thm)],[f11199,f1205]) ).
fof(f11331,plain,
! [X0] :
( accept_population(X0,atheist,n75)
| ~ accept_city(X0,cityb) ),
inference(backward_demodulation,[status(thm)],[f11201,f671]) ).
fof(f11442,plain,
! [X0] :
( ~ accept_population(X0,native,n0)
| accept_city(X0,towna)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,muslim,n1)
| ~ accept_city(X0,cityb) ),
inference(resolution,[status(thm)],[f11331,f1754]) ).
fof(f11445,plain,
! [X0] :
( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n0)
| accept_city(X0,towna)
| ~ accept_city(X0,cityb) ),
inference(forward_subsumption_resolution,[status(thm)],[f11442,f673]) ).
fof(f11467,plain,
! [X0] :
( accept_city(X0,towna)
| ~ accept_population(X0,other,n0)
| ~ accept_city(X0,cityb) ),
inference(forward_subsumption_resolution,[status(thm)],[f11445,f674]) ).
fof(f11471,plain,
! [X0] :
( ~ accept_city(X0,cityb)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna) ),
inference(resolution,[status(thm)],[f11467,f635]) ).
fof(f11504,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,cityb)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolution,[status(thm)],[f11471,f1371]) ).
fof(f11512,plain,
~ accept_city(muslimcountrybhumanitarianorganization,cityb),
inference(forward_subsumption_resolution,[status(thm)],[f11504,f1497]) ).
fof(f11513,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f11512,f1373]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT020+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n016.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 12:54:52 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 128.00/16.53 % Refutation found
% 128.00/16.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 128.00/16.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 84.63/17.83 % Elapsed time: 17.250257 seconds
% 84.63/17.83 % CPU time: 126.385866 seconds
% 84.63/17.83 % Total memory used: 473.271 MB
% 84.63/17.83 % Net memory used: 452.839 MB
%------------------------------------------------------------------------------