%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : AGT023+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 : n004.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 150.72s 49.12s
% Output : CNFRefutation 150.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of formulae : 99 ( 32 unt; 0 def)
% Number of atoms : 298 ( 6 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 343 ( 144 ~; 134 |; 55 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 14 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 24 ( 24 usr; 21 con; 0-2 aty)
% Number of variables : 149 ( 0 sgn 147 !; 2 ?; 46 :)
% 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(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(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(f17,axiom,
! [X0] :
( ( accept_population(X0,other,n0)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n0)
& accept_population(X0,christian,n25)
& accept_population(X0,atheist,n75) )
<=> accept_city(X0,citya) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_10) ).
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(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(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(f527,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit2) ).
fof(f539,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less45) ).
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_city(X0,citya),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_23) ).
fof(f557,negated_conjecture,
~ ? [X0] : ~ accept_city(X0,citya),
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(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(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_city(X0,citya),
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(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(f605,plain,
! [X0] :
( ( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,christian,n25)
| ~ accept_population(X0,atheist,n75)
| accept_city(X0,citya) )
& ( ~ accept_city(X0,citya)
| ( accept_population(X0,other,n0)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n0)
& accept_population(X0,christian,n25)
& accept_population(X0,atheist,n75) ) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f606,plain,
! [X0] :
( ( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,christian,n25)
| ~ accept_population(X0,atheist,n75)
| accept_city(X0,citya) )
& ( ~ accept_city(X0,citya)
| ( accept_population(X0,other,n0)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n0)
& accept_population(X0,christian,n25)
& accept_population(X0,atheist,n75) ) ) ),
inference(flattening,[],[f605]) ).
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(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(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(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(f680,plain,
! [X0] :
( ~ accept_city(X0,citya)
| accept_population(X0,other,n0) ),
inference(cnf_transformation,[],[f606]) ).
fof(f681,plain,
! [X0] :
( ~ accept_city(X0,citya)
| accept_population(X0,native,n0) ),
inference(cnf_transformation,[],[f606]) ).
fof(f683,plain,
! [X0] :
( ~ accept_city(X0,citya)
| accept_population(X0,christian,n25) ),
inference(cnf_transformation,[],[f606]) ).
fof(f684,plain,
! [X0] :
( ~ accept_city(X0,citya)
| accept_population(X0,atheist,n75) ),
inference(cnf_transformation,[],[f606]) ).
fof(f694,plain,
! [X0] :
( ~ accept_city(X0,cityb)
| accept_population(X0,muslim,n1) ),
inference(cnf_transformation,[],[f610]) ).
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(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(f1209,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f527]) ).
fof(f1221,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f539]) ).
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_city(X0,citya),
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_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_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_113,plain,
! [X0: $i] :
( accept_population(X0,atheist,n75)
| ~ accept_city(X0,citya) ),
inference(cnf_transformation,[],[f684]) ).
tcf(c_114,plain,
! [X0: $i] :
( accept_population(X0,christian,n25)
| ~ accept_city(X0,citya) ),
inference(cnf_transformation,[],[f683]) ).
tcf(c_116,plain,
! [X0: $i] :
( accept_population(X0,native,n0)
| ~ accept_city(X0,citya) ),
inference(cnf_transformation,[],[f681]) ).
tcf(c_117,plain,
! [X0: $i] :
( accept_population(X0,other,n0)
| ~ accept_city(X0,citya) ),
inference(cnf_transformation,[],[f680]) ).
tcf(c_127,plain,
! [X0: $i] :
( accept_population(X0,muslim,n1)
| ~ accept_city(X0,cityb) ),
inference(cnf_transformation,[],[f694]) ).
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_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_643,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f1209]) ).
tcf(c_655,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f1221]) ).
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_city(X0,citya),
inference(cnf_transformation,[],[f1238]) ).
tcf(c_784,plain,
! [X0: $i] : accept_population(X0,christian,n25),
inference(global_subsumption_just,[status(thm)],[c_114,c_672,c_114]) ).
tcf(c_817,plain,
! [X0: $i] :
( accept_city(X0,towna)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,christian,n24) ),
inference(global_subsumption_just,[status(thm)],[c_112,c_672,c_117,c_116,c_113,c_112]) ).
tcf(c_2761,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_2762,plain,
( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
| ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(unflattening,[status(thm)],[c_2761]) ).
tcf(c_3041,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_3042,plain,
accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
inference(unflattening,[status(thm)],[c_3041]) ).
tcf(c_9543,plain,
( accept_city(muslimcountrybhumanitarianorganization,cityb)
| ~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_14810,plain,
( accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_city(muslimcountrybhumanitarianorganization,cityb) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_22913,plain,
( accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24) ),
inference(instantiation,[status(thm)],[c_817]) ).
tcf(c_64414,plain,
rdn_non_zero(rdnn(n2)),
inference(superposition,[status(thm)],[c_643,c_664]) ).
tcf(c_162808,plain,
accept_population(muslimcountrybhumanitarianorganization,christian,n25),
inference(instantiation,[status(thm)],[c_784]) ).
tcf(c_220684,plain,
! [X0: $i,X1: $i] :
( less(n24,X1)
| ~ rdn_translate(X1,rdn_pos(X0))
| ~ rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),X0) ),
inference(superposition,[status(thm)],[c_410,c_666]) ).
tcf(c_260637,plain,
! [X0: $i,X1: $i] :
( less(n24,X0)
| ~ rdn_non_zero(rdnn(n2))
| ~ rdn_positive_less(rdnn(n4),rdnn(X1))
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n2)))) ),
inference(superposition,[status(thm)],[c_662,c_220684]) ).
tcf(c_260638,plain,
! [X0: $i,X1: $i] :
( less(n24,X0)
| ~ rdn_positive_less(rdnn(n4),rdnn(X1))
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n2)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260637,c_64414]) ).
tcf(c_262773,plain,
( less(n24,n25)
| ~ rdn_positive_less(rdnn(n4),rdnn(n5)) ),
inference(superposition,[status(thm)],[c_411,c_260638]) ).
tcf(c_262782,plain,
less(n24,n25),
inference(forward_subsumption_resolution,[status(thm)],[c_262773,c_655]) ).
tcf(c_397199,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_459942,plain,
( accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| ~ less(n24,n25)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n25) ),
inference(instantiation,[status(thm)],[c_397199]) ).
tcf(c_459943,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_459942,c_262782,c_162808,c_22913,c_14810,c_9543,c_3042,c_2762,c_144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT023+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/10.39 % Computer : n004.cluster.edu
% 0.11/10.39 % Model : x86_64 x86_64
% 0.11/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.39 % Memory : 8046.5625MB
% 0.11/10.39 % OS : Linux 6.8.0-71-generic
% 0.11/10.39 % CPULimit : 300
% 0.11/10.39 % WCLimit : 300
% 0.11/10.39 % DateTime : Fri Sep 25 04:27:16 UTC 2026
% 0.11/10.39 % CPUTime :
% 0.11/10.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/10.43 Running first-order theorem proving
% 0.16/10.43 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
% 0.16/10.44
% 0.16/10.44 % ======== iProver multi-core TPTP/SMT =========
% 0.16/10.44
% 0.16/10.44 % Detected problem language: tptp
% 0.16/10.46 % Proving...
% 150.72/49.12 % SZS status Started for theBenchmark.p
% 150.72/49.12 % SZS status Theorem for theBenchmark.p
% 150.72/49.12
% 150.72/49.12 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 150.72/49.12
% 150.72/49.12 % ------ iProver source info
% 150.72/49.12
% 150.72/49.12 % git: date: 2026-07-19 20:42:38 +0200
% 150.72/49.12 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 150.72/49.12 % git: non_committed_changes: false
% 150.72/49.12
% 150.72/49.12 % ------ Parsing...
% 150.72/49.12 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 150.72/49.12
% 150.72/49.12 % ------ 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 %
% 150.72/49.12
% 150.72/49.12 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 150.72/49.12
% 150.72/49.12 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 150.72/49.12 % ------ Proving...
% 150.72/49.12 % ------ Problem Properties
% 150.72/49.12
% 150.72/49.12 %
% 150.72/49.12 % clauses 602
% 150.72/49.12 % conjectures 1
% 150.72/49.12 % EPR 319
% 150.72/49.12 % Horn 601
% 150.72/49.12 % unary 524
% 150.72/49.12 % binary 57
% 150.72/49.12 % lits 729
% 150.72/49.12 % lits eq 1
% 150.72/49.12 % fd_pure 0
% 150.72/49.12 % fd_pseudo 0
% 150.72/49.12 % fd_cond 0
% 150.72/49.12 % fd_pseudo_cond 1
% 150.72/49.12 % AC symbols 0
% 150.72/49.12
% 150.72/49.12 % ------ Input Options Time Limit: Unbounded
% 150.72/49.12
% 150.72/49.12
% 150.72/49.12 % ------
% 150.72/49.12 % Current options:
% 150.72/49.12 % ------
% 150.72/49.12
% 150.72/49.12
% 150.72/49.12 %
% 150.72/49.12
% 150.72/49.12 % ------ Proving...
% 150.72/49.12 %
% 150.72/49.12
% 150.72/49.12 % SZS status Theorem for theBenchmark.p
% 150.72/49.12
% 150.72/49.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 150.72/49.12
% 150.72/49.12
%------------------------------------------------------------------------------