%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : AGT024+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n020.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 : Fri Sep 25 12:50:59 PM UTC 2026
% Result : Theorem 161.89s 41.12s
% Output : CNFRefutation 161.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 29
% Syntax : Number of formulae : 149 ( 59 unt; 0 def)
% Number of atoms : 414 ( 9 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 455 ( 190 ~; 180 |; 72 &)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-4 aty)
% Number of functors : 35 ( 35 usr; 32 con; 0-2 aty)
% Number of variables : 187 ( 0 sgn 185 !; 2 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3] :
( accept_team(X0,X3,X1,X2)
<=> ( accept_number(X0,X2)
& accept_leader(X0,X3)
& accept_city(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_1) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( less(X2,X1)
& accept_population(X0,X3,X1) )
=> accept_population(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_3) ).
fof(f4,axiom,
! [X0,X1,X2] :
( the_agent_in_all_proposed_teams(X0,X1,X2)
=> ( accept_city(X0,X2)
& accept_leader(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_4) ).
fof(f5,axiom,
! [X0,X1,X2] :
( any_agent_in_all_proposed_teams(X0,X1,X2)
=> accept_leader(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_5) ).
fof(f6,axiom,
! [X0,X1,X2] :
( the_agent_not_in_any_proposed_teams(X0,X1,X2)
=> ~ ( accept_leader(X0,X1)
& accept_city(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_6) ).
fof(f14,axiom,
! [X0] :
( ( accept_population(X0,other,n0)
& accept_population(X0,native,n85)
& accept_population(X0,muslim,n0)
& accept_population(X0,christian,n3)
& accept_population(X0,atheist,n12) )
<=> accept_city(X0,coastvillage) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_7) ).
fof(f16,axiom,
! [X0] :
( ( accept_population(X0,other,n0)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n1)
& accept_population(X0,christian,n24)
& accept_population(X0,atheist,n75) )
<=> accept_city(X0,towna) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_9) ).
fof(f19,axiom,
! [X0] :
( ( accept_population(X0,other,n1)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n1)
& accept_population(X0,christian,n20)
& accept_population(X0,atheist,n78) )
<=> accept_city(X0,cityb) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_12) ).
fof(f20,axiom,
! [X0] :
( ( accept_population(X0,other,n5)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n65)
& accept_population(X0,christian,n0)
& accept_population(X0,atheist,n30) )
<=> accept_city(X0,townc) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_13) ).
fof(f28,axiom,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_8) ).
fof(f31,axiom,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_11) ).
fof(f32,axiom,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_12) ).
fof(f33,axiom,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_13) ).
fof(f124,axiom,
the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_104) ).
fof(f294,axiom,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn24) ).
fof(f295,axiom,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn25) ).
fof(f345,axiom,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn75) ).
fof(f348,axiom,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn78) ).
fof(f527,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit2) ).
fof(f532,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit7) ).
fof(f539,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less45) ).
fof(f540,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less56) ).
fof(f541,axiom,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less67) ).
fof(f542,axiom,
rdn_positive_less(rdnn(n7),rdnn(n8)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less78) ).
fof(f544,axiom,
! [X0,X1,X2] :
( ( rdn_positive_less(rdnn(X1),rdnn(X2))
& rdn_positive_less(rdnn(X0),rdnn(X1)) )
=> rdn_positive_less(rdnn(X0),rdnn(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_transitivity) ).
fof(f546,axiom,
! [X0,X1,X2] :
( ( rdn_non_zero(X1)
& rdn_positive_less(rdnn(X0),rdnn(X2)) )
=> rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_low) ).
fof(f548,axiom,
! [X0] :
( rdn_non_zero_digit(rdnn(X0))
=> rdn_non_zero(rdnn(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_non_zero_by_digit) ).
fof(f550,axiom,
! [X0,X1,X2,X3] :
( ( rdn_positive_less(X2,X3)
& rdn_translate(X1,rdn_pos(X3))
& rdn_translate(X0,rdn_pos(X2)) )
=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).
fof(f556,conjecture,
? [X0] : ~ accept_population(X0,christian,n25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_24) ).
fof(f557,negated_conjecture,
~ ? [X0] : ~ accept_population(X0,christian,n25),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f564,plain,
! [X0,X1,X2,X3] :
( ~ less(X2,X1)
| ~ accept_population(X0,X3,X1)
| accept_population(X0,X3,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f565,plain,
! [X0,X1,X2,X3] :
( ~ less(X2,X1)
| ~ accept_population(X0,X3,X1)
| accept_population(X0,X3,X2) ),
inference(flattening,[],[f564]) ).
fof(f566,plain,
! [X0,X1,X2] :
( ~ the_agent_in_all_proposed_teams(X0,X1,X2)
| ( accept_city(X0,X2)
& accept_leader(X0,X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f567,plain,
! [X0,X1,X2] :
( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
| accept_leader(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f568,plain,
! [X0,X1,X2] :
( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
| ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f569,plain,
! [X0,X1,X2] :
( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
| ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2) ),
inference(flattening,[],[f568]) ).
fof(f570,plain,
! [X0,X1,X2] :
( ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(ennf_transformation,[],[f544]) ).
fof(f571,plain,
! [X0,X1,X2] :
( ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(flattening,[],[f570]) ).
fof(f573,plain,
! [X0,X1,X2] :
( ~ rdn_non_zero(X1)
| ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) ),
inference(ennf_transformation,[],[f546]) ).
fof(f574,plain,
! [X0,X1,X2] :
( ~ rdn_non_zero(X1)
| ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) ),
inference(flattening,[],[f573]) ).
fof(f576,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(ennf_transformation,[],[f548]) ).
fof(f578,plain,
! [X0,X1,X2,X3] :
( ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2))
| less(X0,X1) ),
inference(ennf_transformation,[],[f550]) ).
fof(f579,plain,
! [X0,X1,X2,X3] :
( ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2))
| less(X0,X1) ),
inference(flattening,[],[f578]) ).
fof(f584,plain,
! [X0] : accept_population(X0,christian,n25),
inference(ennf_transformation,[],[f557]) ).
fof(f585,plain,
! [X0,X1,X2,X3] :
( ( ~ accept_team(X0,X3,X1,X2)
| ( accept_number(X0,X2)
& accept_leader(X0,X3)
& accept_city(X0,X1) ) )
& ( ~ accept_number(X0,X2)
| ~ accept_leader(X0,X3)
| ~ accept_city(X0,X1)
| accept_team(X0,X3,X1,X2) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f586,plain,
! [X0,X1,X2,X3] :
( ( ~ accept_team(X0,X3,X1,X2)
| ( accept_number(X0,X2)
& accept_leader(X0,X3)
& accept_city(X0,X1) ) )
& ( ~ accept_number(X0,X2)
| ~ accept_leader(X0,X3)
| ~ accept_city(X0,X1)
| accept_team(X0,X3,X1,X2) ) ),
inference(flattening,[],[f585]) ).
fof(f599,plain,
! [X0] :
( ( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,atheist,n12)
| accept_city(X0,coastvillage) )
& ( ~ accept_city(X0,coastvillage)
| ( accept_population(X0,other,n0)
& accept_population(X0,native,n85)
& accept_population(X0,muslim,n0)
& accept_population(X0,christian,n3)
& accept_population(X0,atheist,n12) ) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f600,plain,
! [X0] :
( ( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,atheist,n12)
| accept_city(X0,coastvillage) )
& ( ~ accept_city(X0,coastvillage)
| ( accept_population(X0,other,n0)
& accept_population(X0,native,n85)
& accept_population(X0,muslim,n0)
& accept_population(X0,christian,n3)
& accept_population(X0,atheist,n12) ) ) ),
inference(flattening,[],[f599]) ).
fof(f603,plain,
! [X0] :
( ( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,atheist,n75)
| accept_city(X0,towna) )
& ( ~ accept_city(X0,towna)
| ( accept_population(X0,other,n0)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n1)
& accept_population(X0,christian,n24)
& accept_population(X0,atheist,n75) ) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f604,plain,
! [X0] :
( ( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,atheist,n75)
| accept_city(X0,towna) )
& ( ~ accept_city(X0,towna)
| ( accept_population(X0,other,n0)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n1)
& accept_population(X0,christian,n24)
& accept_population(X0,atheist,n75) ) ) ),
inference(flattening,[],[f603]) ).
fof(f609,plain,
! [X0] :
( ( ~ accept_population(X0,other,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,atheist,n78)
| accept_city(X0,cityb) )
& ( ~ accept_city(X0,cityb)
| ( accept_population(X0,other,n1)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n1)
& accept_population(X0,christian,n20)
& accept_population(X0,atheist,n78) ) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f610,plain,
! [X0] :
( ( ~ accept_population(X0,other,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,atheist,n78)
| accept_city(X0,cityb) )
& ( ~ accept_city(X0,cityb)
| ( accept_population(X0,other,n1)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n1)
& accept_population(X0,christian,n20)
& accept_population(X0,atheist,n78) ) ) ),
inference(flattening,[],[f609]) ).
fof(f611,plain,
! [X0] :
( ( ~ accept_population(X0,other,n5)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n65)
| ~ accept_population(X0,christian,n0)
| ~ accept_population(X0,atheist,n30)
| accept_city(X0,townc) )
& ( ~ accept_city(X0,townc)
| ( accept_population(X0,other,n5)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n65)
& accept_population(X0,christian,n0)
& accept_population(X0,atheist,n30) ) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f612,plain,
! [X0] :
( ( ~ accept_population(X0,other,n5)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n65)
| ~ accept_population(X0,christian,n0)
| ~ accept_population(X0,atheist,n30)
| accept_city(X0,townc) )
& ( ~ accept_city(X0,townc)
| ( accept_population(X0,other,n5)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n65)
& accept_population(X0,christian,n0)
& accept_population(X0,atheist,n30) ) ) ),
inference(flattening,[],[f611]) ).
fof(f617,plain,
! [X2,X3,X0,X1] :
( ~ accept_team(X0,X3,X1,X2)
| accept_city(X0,X1) ),
inference(cnf_transformation,[],[f586]) ).
fof(f620,plain,
! [X2,X3,X0,X1] :
( ~ less(X2,X1)
| ~ accept_population(X0,X3,X1)
| accept_population(X0,X3,X2) ),
inference(cnf_transformation,[],[f565]) ).
fof(f621,plain,
! [X2,X0,X1] :
( ~ the_agent_in_all_proposed_teams(X0,X1,X2)
| accept_city(X0,X2) ),
inference(cnf_transformation,[],[f566]) ).
fof(f623,plain,
! [X2,X0,X1] :
( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
| accept_leader(X0,X1) ),
inference(cnf_transformation,[],[f567]) ).
fof(f624,plain,
! [X2,X0,X1] :
( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
| ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2) ),
inference(cnf_transformation,[],[f569]) ).
fof(f662,plain,
! [X0] :
( ~ accept_city(X0,coastvillage)
| accept_population(X0,other,n0) ),
inference(cnf_transformation,[],[f600]) ).
fof(f673,plain,
! [X0] :
( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,atheist,n75)
| accept_city(X0,towna) ),
inference(cnf_transformation,[],[f604]) ).
fof(f694,plain,
! [X0] :
( ~ accept_city(X0,cityb)
| accept_population(X0,muslim,n1) ),
inference(cnf_transformation,[],[f610]) ).
fof(f696,plain,
! [X0] :
( ~ accept_city(X0,cityb)
| accept_population(X0,atheist,n78) ),
inference(cnf_transformation,[],[f610]) ).
fof(f699,plain,
! [X0] :
( ~ accept_city(X0,townc)
| accept_population(X0,native,n0) ),
inference(cnf_transformation,[],[f612]) ).
fof(f710,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
inference(cnf_transformation,[],[f28]) ).
fof(f713,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(cnf_transformation,[],[f31]) ).
fof(f714,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(cnf_transformation,[],[f32]) ).
fof(f715,plain,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5),
inference(cnf_transformation,[],[f33]) ).
fof(f806,plain,
the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc),
inference(cnf_transformation,[],[f124]) ).
fof(f976,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(cnf_transformation,[],[f294]) ).
fof(f977,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
inference(cnf_transformation,[],[f295]) ).
fof(f1027,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
inference(cnf_transformation,[],[f345]) ).
fof(f1030,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
inference(cnf_transformation,[],[f348]) ).
fof(f1209,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f527]) ).
fof(f1214,plain,
rdn_non_zero_digit(rdnn(n7)),
inference(cnf_transformation,[],[f532]) ).
fof(f1221,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f539]) ).
fof(f1222,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
inference(cnf_transformation,[],[f540]) ).
fof(f1223,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
inference(cnf_transformation,[],[f541]) ).
fof(f1224,plain,
rdn_positive_less(rdnn(n7),rdnn(n8)),
inference(cnf_transformation,[],[f542]) ).
fof(f1226,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(cnf_transformation,[],[f571]) ).
fof(f1228,plain,
! [X2,X0,X1] :
( ~ rdn_non_zero(X1)
| ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) ),
inference(cnf_transformation,[],[f574]) ).
fof(f1230,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f576]) ).
fof(f1232,plain,
! [X2,X3,X0,X1] :
( ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2))
| less(X0,X1) ),
inference(cnf_transformation,[],[f579]) ).
fof(f1238,plain,
! [X0] : accept_population(X0,christian,n25),
inference(cnf_transformation,[],[f584]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( accept_city(X0,X2)
| ~ accept_team(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f617]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( accept_population(X0,X1,X3)
| ~ less(X3,X2)
| ~ accept_population(X0,X1,X2) ),
inference(cnf_transformation,[],[f620]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( accept_city(X0,X2)
| ~ the_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(cnf_transformation,[],[f621]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(cnf_transformation,[],[f623]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(cnf_transformation,[],[f624]) ).
tcf(c_99,plain,
! [X0: $i] :
( accept_population(X0,other,n0)
| ~ accept_city(X0,coastvillage) ),
inference(cnf_transformation,[],[f662]) ).
tcf(c_112,plain,
! [X0: $i] :
( accept_city(X0,towna)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,atheist,n75) ),
inference(cnf_transformation,[],[f673]) ).
tcf(c_125,plain,
! [X0: $i] :
( accept_population(X0,atheist,n78)
| ~ accept_city(X0,cityb) ),
inference(cnf_transformation,[],[f696]) ).
tcf(c_127,plain,
! [X0: $i] :
( accept_population(X0,muslim,n1)
| ~ accept_city(X0,cityb) ),
inference(cnf_transformation,[],[f694]) ).
tcf(c_134,plain,
! [X0: $i] :
( accept_population(X0,native,n0)
| ~ accept_city(X0,townc) ),
inference(cnf_transformation,[],[f699]) ).
tcf(c_144,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
inference(cnf_transformation,[],[f710]) ).
tcf(c_147,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(cnf_transformation,[],[f713]) ).
tcf(c_148,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(cnf_transformation,[],[f714]) ).
tcf(c_149,plain,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5),
inference(cnf_transformation,[],[f715]) ).
tcf(c_240,plain,
the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc),
inference(cnf_transformation,[],[f806]) ).
tcf(c_410,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(cnf_transformation,[],[f976]) ).
tcf(c_411,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
inference(cnf_transformation,[],[f977]) ).
tcf(c_461,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
inference(cnf_transformation,[],[f1027]) ).
tcf(c_464,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
inference(cnf_transformation,[],[f1030]) ).
tcf(c_643,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f1209]) ).
tcf(c_648,plain,
rdn_non_zero_digit(rdnn(n7)),
inference(cnf_transformation,[],[f1214]) ).
tcf(c_655,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f1221]) ).
tcf(c_656,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
inference(cnf_transformation,[],[f1222]) ).
tcf(c_657,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
inference(cnf_transformation,[],[f1223]) ).
tcf(c_658,plain,
rdn_positive_less(rdnn(n7),rdnn(n8)),
inference(cnf_transformation,[],[f1224]) ).
tcf(c_660,plain,
! [X0: $i,X1: $i,X2: $i] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(cnf_transformation,[],[f1226]) ).
tcf(c_662,plain,
! [X0: $i,X1: $i,X2: $i] :
( rdn_positive_less(rdn(rdnn(X0),X2),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2)
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(cnf_transformation,[],[f1228]) ).
tcf(c_664,plain,
! [X0: $i] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(cnf_transformation,[],[f1230]) ).
tcf(c_666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( less(X0,X2)
| ~ rdn_positive_less(X1,X3)
| ~ rdn_translate(X2,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(cnf_transformation,[],[f1232]) ).
tcf(c_672,negated_conjecture,
! [X0: $i] : accept_population(X0,christian,n25),
inference(cnf_transformation,[],[f1238]) ).
tcf(c_2880,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2)
| ( X2 != towna )
| ( X1 != countryacivilorganization )
| ( X0 != muslimcountrybhumanitarianorganization ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_147]) ).
tcf(c_2881,plain,
( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
| ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(unflattening,[status(thm)],[c_2880]) ).
tcf(c_3160,plain,
! [X0: $i,X1: $i,X2: $i] :
( accept_leader(X0,X1)
| ( X2 != towna )
| ( X1 != countryacivilorganization )
| ( X0 != muslimcountrybhumanitarianorganization ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_148]) ).
tcf(c_3161,plain,
accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
inference(unflattening,[status(thm)],[c_3160]) ).
tcf(c_3414,plain,
! [X0: $i,X1: $i,X2: $i] :
( accept_city(X0,X2)
| ( X2 != townc )
| ( X1 != countryahumanitarianorganization )
| ( X0 != muslimcountrybhumanitarianorganization ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_240]) ).
tcf(c_3415,plain,
accept_city(muslimcountrybhumanitarianorganization,townc),
inference(unflattening,[status(thm)],[c_3414]) ).
tcf(c_9936,plain,
( accept_population(muslimcountrybhumanitarianorganization,native,n0)
| ~ accept_city(muslimcountrybhumanitarianorganization,townc) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_9945,plain,
( accept_city(muslimcountrybhumanitarianorganization,cityb)
| ~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_9946,plain,
( accept_city(muslimcountrybhumanitarianorganization,coastvillage)
| ~ accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_10640,plain,
rdn_non_zero(rdnn(n2)),
inference(superposition,[status(thm)],[c_643,c_664]) ).
tcf(c_15514,plain,
( accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_city(muslimcountrybhumanitarianorganization,cityb) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_15516,plain,
( accept_population(muslimcountrybhumanitarianorganization,atheist,n78)
| ~ accept_city(muslimcountrybhumanitarianorganization,cityb) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_15521,plain,
( accept_population(muslimcountrybhumanitarianorganization,other,n0)
| ~ accept_city(muslimcountrybhumanitarianorganization,coastvillage) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_28268,plain,
( accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_35249,plain,
! [X0: $i,X1: $i,X2: $i] :
( accept_population(X0,X1,X2)
| ~ less(X2,n25)
| ~ accept_population(X0,X1,n25) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_53653,plain,
( accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| ~ less(n24,n25)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n25) ),
inference(instantiation,[status(thm)],[c_35249]) ).
tcf(c_66659,plain,
accept_population(muslimcountrybhumanitarianorganization,christian,n25),
inference(instantiation,[status(thm)],[c_672]) ).
tcf(c_116714,plain,
! [X0: $i,X1: $i] :
( less(X1,n25)
| ~ rdn_translate(X1,rdn_pos(X0))
| ~ rdn_positive_less(X0,rdn(rdnn(n5),rdnn(n2)))
| ~ rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))) ),
inference(instantiation,[status(thm)],[c_666]) ).
tcf(c_128443,plain,
! [X0: $i] :
( less(n24,n25)
| ~ rdn_translate(n24,rdn_pos(X0))
| ~ rdn_positive_less(X0,rdn(rdnn(n5),rdnn(n2)))
| ~ rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))) ),
inference(instantiation,[status(thm)],[c_116714]) ).
tcf(c_130602,plain,
( less(n24,n25)
| ~ rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2))))
| ~ rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2))))
| ~ rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),rdn(rdnn(n5),rdnn(n2))) ),
inference(instantiation,[status(thm)],[c_128443]) ).
tcf(c_135996,plain,
( rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),rdn(rdnn(n5),rdnn(n2)))
| ~ rdn_non_zero(rdnn(n2))
| ~ rdn_positive_less(rdnn(n4),rdnn(n5)) ),
inference(instantiation,[status(thm)],[c_662]) ).
tcf(c_293081,plain,
rdn_non_zero(rdnn(n7)),
inference(superposition,[status(thm)],[c_648,c_664]) ).
tcf(c_293217,plain,
! [X0: $i] :
( rdn_positive_less(rdnn(n5),rdnn(X0))
| ~ rdn_positive_less(rdnn(n6),rdnn(X0)) ),
inference(superposition,[status(thm)],[c_656,c_660]) ).
tcf(c_293218,plain,
! [X0: $i] :
( rdn_positive_less(rdnn(n6),rdnn(X0))
| ~ rdn_positive_less(rdnn(n7),rdnn(X0)) ),
inference(superposition,[status(thm)],[c_657,c_660]) ).
tcf(c_293300,plain,
rdn_positive_less(rdnn(n6),rdnn(n8)),
inference(superposition,[status(thm)],[c_658,c_293218]) ).
tcf(c_293302,plain,
rdn_positive_less(rdnn(n5),rdnn(n8)),
inference(superposition,[status(thm)],[c_293300,c_293217]) ).
tcf(c_294334,plain,
! [X0: $i,X1: $i] :
( less(n75,X1)
| ~ rdn_translate(X1,rdn_pos(X0))
| ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n7)),X0) ),
inference(superposition,[status(thm)],[c_461,c_666]) ).
tcf(c_508080,plain,
! [X0: $i,X1: $i] :
( less(n75,X0)
| ~ rdn_non_zero(rdnn(n7))
| ~ rdn_positive_less(rdnn(n5),rdnn(X1))
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n7)))) ),
inference(superposition,[status(thm)],[c_662,c_294334]) ).
tcf(c_508081,plain,
! [X0: $i,X1: $i] :
( less(n75,X0)
| ~ rdn_positive_less(rdnn(n5),rdnn(X1))
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n7)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_508080,c_293081]) ).
tcf(c_509776,plain,
( less(n75,n78)
| ~ rdn_positive_less(rdnn(n5),rdnn(n8)) ),
inference(superposition,[status(thm)],[c_464,c_508081]) ).
tcf(c_509779,plain,
less(n75,n78),
inference(forward_subsumption_resolution,[status(thm)],[c_509776,c_293302]) ).
tcf(c_586657,plain,
! [X0: $i,X1: $i] :
( accept_population(X0,X1,n75)
| ~ less(n75,n78)
| ~ accept_population(X0,X1,n78) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_593107,plain,
! [X0: $i,X1: $i] :
( accept_population(X0,X1,n75)
| ~ accept_population(X0,X1,n78) ),
inference(global_subsumption_just,[status(thm)],[c_586657,c_509779,c_586657]) ).
tcf(c_593133,plain,
( accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n78) ),
inference(instantiation,[status(thm)],[c_593107]) ).
tcf(c_593134,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_593133,c_135996,c_130602,c_66659,c_53653,c_28268,c_15521,c_15514,c_15516,c_10640,c_9946,c_9945,c_9936,c_3415,c_3161,c_2881,c_410,c_411,c_144,c_149,c_655]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT024+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 % Computer : n020.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Fri Sep 25 04:28:48 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.41 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.46
% 0.11/0.46 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.46
% 0.11/0.46 % Detected problem language: tptp
% 0.17/0.47 % Proving...
% 161.89/41.12 % SZS status Started for theBenchmark.p
% 161.89/41.12 % SZS status Theorem for theBenchmark.p
% 161.89/41.12
% 161.89/41.12 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 161.89/41.12
% 161.89/41.12 % ------ iProver source info
% 161.89/41.12
% 161.89/41.12 % git: date: 2026-07-19 20:42:38 +0200
% 161.89/41.12 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 161.89/41.12 % git: non_committed_changes: false
% 161.89/41.12
% 161.89/41.12 % ------ Parsing...
% 161.89/41.12 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 161.89/41.12
% 161.89/41.12 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 161.89/41.12
% 161.89/41.12 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 161.89/41.12
% 161.89/41.12 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 161.89/41.12 % ------ Proving...
% 161.89/41.12 % ------ Problem Properties
% 161.89/41.12
% 161.89/41.12 %
% 161.89/41.12 % clauses 613
% 161.89/41.12 % conjectures 1
% 161.89/41.12 % EPR 330
% 161.89/41.12 % Horn 612
% 161.89/41.12 % unary 519
% 161.89/41.12 % binary 72
% 161.89/41.12 % lits 770
% 161.89/41.12 % lits eq 1
% 161.89/41.12 % fd_pure 0
% 161.89/41.12 % fd_pseudo 0
% 161.89/41.12 % fd_cond 0
% 161.89/41.12 % fd_pseudo_cond 1
% 161.89/41.12 % AC symbols 0
% 161.89/41.12
% 161.89/41.12 % ------ Input Options Time Limit: Unbounded
% 161.89/41.12
% 161.89/41.12
% 161.89/41.12 % ------
% 161.89/41.12 % Current options:
% 161.89/41.12 % ------
% 161.89/41.12
% 161.89/41.12
% 161.89/41.12 %
% 161.89/41.12
% 161.89/41.12 % ------ Proving...
% 161.89/41.12 %
% 161.89/41.12
% 161.89/41.12 % SZS status Theorem for theBenchmark.p
% 161.89/41.12
% 161.89/41.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 161.89/41.13
% 161.89/41.13
%------------------------------------------------------------------------------