TSTP Solution File: AGT018+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : AGT018+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 : Wed Aug 30 15:54:33 EDT 2023
% Result : Theorem 182.95s 24.84s
% Output : CNFRefutation 182.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 25
% Syntax : Number of formulae : 141 ( 46 unt; 0 def)
% Number of atoms : 415 ( 9 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 461 ( 187 ~; 174 |; 79 &)
% ( 5 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-4 aty)
% Number of functors : 33 ( 33 usr; 30 con; 0-2 aty)
% Number of variables : 209 ( 7 sgn; 148 !; 3 ?)
% 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/sandbox/benchmark/theBenchmark.p',a1_1) ).
fof(f3,axiom,
! [X0,X2,X4,X5] :
( ( less(X4,X2)
& accept_population(X0,X5,X2) )
=> accept_population(X0,X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_3) ).
fof(f4,axiom,
! [X0,X3,X1] :
( the_agent_in_all_proposed_teams(X0,X3,X1)
=> ( accept_city(X0,X1)
& accept_leader(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_4) ).
fof(f5,axiom,
! [X0,X3,X1] :
( any_agent_in_all_proposed_teams(X0,X3,X1)
=> accept_leader(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_5) ).
fof(f6,axiom,
! [X0,X3,X1] :
( the_agent_not_in_any_proposed_teams(X0,X3,X1)
=> ~ ( accept_leader(X0,X3)
& accept_city(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',a2_13) ).
fof(f28,axiom,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_8) ).
fof(f31,axiom,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_11) ).
fof(f32,axiom,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_12) ).
fof(f33,axiom,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_13) ).
fof(f124,axiom,
the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_104) ).
fof(f345,axiom,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn75) ).
fof(f348,axiom,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn78) ).
fof(f532,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit7) ).
fof(f540,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less56) ).
fof(f541,axiom,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less67) ).
fof(f542,axiom,
rdn_positive_less(rdnn(n7),rdnn(n8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less78) ).
fof(f544,axiom,
! [X6,X7,X8] :
( ( rdn_positive_less(rdnn(X7),rdnn(X8))
& rdn_positive_less(rdnn(X6),rdnn(X7)) )
=> rdn_positive_less(rdnn(X6),rdnn(X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_transitivity) ).
fof(f546,axiom,
! [X9,X13,X11] :
( ( rdn_non_zero(X13)
& rdn_positive_less(rdnn(X9),rdnn(X11)) )
=> rdn_positive_less(rdn(rdnn(X9),X13),rdn(rdnn(X11),X13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_low) ).
fof(f548,axiom,
! [X6] :
( rdn_non_zero_digit(rdnn(X6))
=> rdn_non_zero(rdnn(X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).
fof(f550,axiom,
! [X6,X7,X15,X16] :
( ( rdn_positive_less(X15,X16)
& rdn_translate(X7,rdn_pos(X16))
& rdn_translate(X6,rdn_pos(X15)) )
=> less(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
fof(f556,conjecture,
? [X6] : ~ accept_population(X6,christian,n24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_18) ).
fof(f557,negated_conjecture,
~ ? [X6] : ~ accept_population(X6,christian,n24),
inference(negated_conjecture,[],[f556]) ).
fof(f559,plain,
! [X0,X1,X2,X3] :
( ( less(X2,X1)
& accept_population(X0,X3,X1) )
=> accept_population(X0,X3,X2) ),
inference(rectify,[],[f3]) ).
fof(f560,plain,
! [X0,X1,X2] :
( the_agent_in_all_proposed_teams(X0,X1,X2)
=> ( accept_city(X0,X2)
& accept_leader(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f561,plain,
! [X0,X1,X2] :
( any_agent_in_all_proposed_teams(X0,X1,X2)
=> accept_leader(X0,X1) ),
inference(rectify,[],[f5]) ).
fof(f562,plain,
! [X0,X1,X2] :
( the_agent_not_in_any_proposed_teams(X0,X1,X2)
=> ~ ( accept_leader(X0,X1)
& accept_city(X0,X2) ) ),
inference(rectify,[],[f6]) ).
fof(f564,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(rectify,[],[f544]) ).
fof(f566,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(rectify,[],[f546]) ).
fof(f568,plain,
! [X0] :
( rdn_non_zero_digit(rdnn(X0))
=> rdn_non_zero(rdnn(X0)) ),
inference(rectify,[],[f548]) ).
fof(f570,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(rectify,[],[f550]) ).
fof(f576,plain,
~ ? [X0] : ~ accept_population(X0,christian,n24),
inference(rectify,[],[f557]) ).
fof(f583,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ less(X2,X1)
| ~ accept_population(X0,X3,X1) ),
inference(ennf_transformation,[],[f559]) ).
fof(f584,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ less(X2,X1)
| ~ accept_population(X0,X3,X1) ),
inference(flattening,[],[f583]) ).
fof(f585,plain,
! [X0,X1,X2] :
( ( accept_city(X0,X2)
& accept_leader(X0,X1) )
| ~ the_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f560]) ).
fof(f586,plain,
! [X0,X1,X2] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f561]) ).
fof(f587,plain,
! [X0,X1,X2] :
( ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f562]) ).
fof(f588,plain,
! [X0,X1,X2] :
( ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(flattening,[],[f587]) ).
fof(f589,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(ennf_transformation,[],[f564]) ).
fof(f590,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(flattening,[],[f589]) ).
fof(f592,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_non_zero(X1)
| ~ rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(ennf_transformation,[],[f566]) ).
fof(f593,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_non_zero(X1)
| ~ rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(flattening,[],[f592]) ).
fof(f595,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f568]) ).
fof(f597,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(ennf_transformation,[],[f570]) ).
fof(f598,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(flattening,[],[f597]) ).
fof(f603,plain,
! [X0] : accept_population(X0,christian,n24),
inference(ennf_transformation,[],[f576]) ).
fof(f604,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(f605,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,[],[f604]) ).
fof(f618,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(f619,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,[],[f618]) ).
fof(f622,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(f623,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,[],[f622]) ).
fof(f628,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(f629,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,[],[f628]) ).
fof(f630,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(f631,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,[],[f630]) ).
fof(f634,plain,
! [X2,X3,X0,X1] :
( accept_city(X0,X1)
| ~ accept_team(X0,X3,X1,X2) ),
inference(cnf_transformation,[],[f605]) ).
fof(f639,plain,
! [X2,X3,X0,X1] :
( accept_population(X0,X3,X2)
| ~ less(X2,X1)
| ~ accept_population(X0,X3,X1) ),
inference(cnf_transformation,[],[f584]) ).
fof(f641,plain,
! [X2,X0,X1] :
( accept_city(X0,X2)
| ~ the_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(cnf_transformation,[],[f585]) ).
fof(f642,plain,
! [X2,X0,X1] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(cnf_transformation,[],[f586]) ).
fof(f643,plain,
! [X2,X0,X1] :
( ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(cnf_transformation,[],[f588]) ).
fof(f685,plain,
! [X0] :
( accept_population(X0,other,n0)
| ~ accept_city(X0,coastvillage) ),
inference(cnf_transformation,[],[f619]) ).
fof(f692,plain,
! [X0] :
( 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,[],[f623]) ).
fof(f711,plain,
! [X0] :
( accept_population(X0,atheist,n78)
| ~ accept_city(X0,cityb) ),
inference(cnf_transformation,[],[f629]) ).
fof(f713,plain,
! [X0] :
( accept_population(X0,muslim,n1)
| ~ accept_city(X0,cityb) ),
inference(cnf_transformation,[],[f629]) ).
fof(f720,plain,
! [X0] :
( accept_population(X0,native,n0)
| ~ accept_city(X0,townc) ),
inference(cnf_transformation,[],[f631]) ).
fof(f729,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
inference(cnf_transformation,[],[f28]) ).
fof(f732,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(cnf_transformation,[],[f31]) ).
fof(f733,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(cnf_transformation,[],[f32]) ).
fof(f734,plain,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5),
inference(cnf_transformation,[],[f33]) ).
fof(f825,plain,
the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc),
inference(cnf_transformation,[],[f124]) ).
fof(f1046,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
inference(cnf_transformation,[],[f345]) ).
fof(f1049,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
inference(cnf_transformation,[],[f348]) ).
fof(f1233,plain,
rdn_non_zero_digit(rdnn(n7)),
inference(cnf_transformation,[],[f532]) ).
fof(f1241,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
inference(cnf_transformation,[],[f540]) ).
fof(f1242,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
inference(cnf_transformation,[],[f541]) ).
fof(f1243,plain,
rdn_positive_less(rdnn(n7),rdnn(n8)),
inference(cnf_transformation,[],[f542]) ).
fof(f1245,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(cnf_transformation,[],[f590]) ).
fof(f1247,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_non_zero(X1)
| ~ rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(cnf_transformation,[],[f593]) ).
fof(f1249,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(cnf_transformation,[],[f595]) ).
fof(f1251,plain,
! [X2,X3,X0,X1] :
( less(X0,X1)
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(cnf_transformation,[],[f598]) ).
fof(f1257,plain,
! [X0] : accept_population(X0,christian,n24),
inference(cnf_transformation,[],[f603]) ).
cnf(c_52,plain,
( ~ accept_team(X0,X1,X2,X3)
| accept_city(X0,X2) ),
inference(cnf_transformation,[],[f634]) ).
cnf(c_54,plain,
( ~ accept_population(X0,X1,X2)
| ~ less(X3,X2)
| accept_population(X0,X1,X3) ),
inference(cnf_transformation,[],[f639]) ).
cnf(c_55,plain,
( ~ the_agent_in_all_proposed_teams(X0,X1,X2)
| accept_city(X0,X2) ),
inference(cnf_transformation,[],[f641]) ).
cnf(c_57,plain,
( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
| accept_leader(X0,X1) ),
inference(cnf_transformation,[],[f642]) ).
cnf(c_58,plain,
( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
| ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2) ),
inference(cnf_transformation,[],[f643]) ).
cnf(c_95,plain,
( ~ accept_city(X0,coastvillage)
| accept_population(X0,other,n0) ),
inference(cnf_transformation,[],[f685]) ).
cnf(c_112,plain,
( ~ 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,[],[f692]) ).
cnf(c_127,plain,
( ~ accept_city(X0,cityb)
| accept_population(X0,muslim,n1) ),
inference(cnf_transformation,[],[f713]) ).
cnf(c_129,plain,
( ~ accept_city(X0,cityb)
| accept_population(X0,atheist,n78) ),
inference(cnf_transformation,[],[f711]) ).
cnf(c_132,plain,
( ~ accept_city(X0,townc)
| accept_population(X0,native,n0) ),
inference(cnf_transformation,[],[f720]) ).
cnf(c_144,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
inference(cnf_transformation,[],[f729]) ).
cnf(c_147,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(cnf_transformation,[],[f732]) ).
cnf(c_148,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(cnf_transformation,[],[f733]) ).
cnf(c_149,plain,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5),
inference(cnf_transformation,[],[f734]) ).
cnf(c_240,plain,
the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc),
inference(cnf_transformation,[],[f825]) ).
cnf(c_461,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
inference(cnf_transformation,[],[f1046]) ).
cnf(c_464,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
inference(cnf_transformation,[],[f1049]) ).
cnf(c_648,plain,
rdn_non_zero_digit(rdnn(n7)),
inference(cnf_transformation,[],[f1233]) ).
cnf(c_656,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
inference(cnf_transformation,[],[f1241]) ).
cnf(c_657,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
inference(cnf_transformation,[],[f1242]) ).
cnf(c_658,plain,
rdn_positive_less(rdnn(n7),rdnn(n8)),
inference(cnf_transformation,[],[f1243]) ).
cnf(c_660,plain,
( ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(cnf_transformation,[],[f1245]) ).
cnf(c_662,plain,
( ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_non_zero(X2)
| rdn_positive_less(rdn(rdnn(X0),X2),rdn(rdnn(X1),X2)) ),
inference(cnf_transformation,[],[f1247]) ).
cnf(c_664,plain,
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f1249]) ).
cnf(c_666,plain,
( ~ rdn_translate(X0,rdn_pos(X1))
| ~ rdn_translate(X2,rdn_pos(X3))
| ~ rdn_positive_less(X1,X3)
| less(X0,X2) ),
inference(cnf_transformation,[],[f1251]) ).
cnf(c_672,negated_conjecture,
accept_population(X0,christian,n24),
inference(cnf_transformation,[],[f1257]) ).
cnf(c_771,plain,
( ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,atheist,n75)
| accept_city(X0,towna) ),
inference(global_subsumption_just,[status(thm)],[c_112,c_672,c_112]) ).
cnf(c_772,plain,
( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,atheist,n75)
| accept_city(X0,towna) ),
inference(renaming,[status(thm)],[c_771]) ).
cnf(c_2880,plain,
( X0 != muslimcountrybhumanitarianorganization
| X1 != countryacivilorganization
| X2 != towna
| ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2) ),
inference(resolution_lifted,[status(thm)],[c_58,c_147]) ).
cnf(c_2881,plain,
( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
| ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(unflattening,[status(thm)],[c_2880]) ).
cnf(c_3160,plain,
( X0 != muslimcountrybhumanitarianorganization
| X1 != countryacivilorganization
| X2 != towna
| accept_leader(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_57,c_148]) ).
cnf(c_3161,plain,
accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
inference(unflattening,[status(thm)],[c_3160]) ).
cnf(c_3417,plain,
( X0 != muslimcountrybhumanitarianorganization
| X1 != countryahumanitarianorganization
| X2 != townc
| accept_city(X0,X2) ),
inference(resolution_lifted,[status(thm)],[c_55,c_240]) ).
cnf(c_3418,plain,
accept_city(muslimcountrybhumanitarianorganization,townc),
inference(unflattening,[status(thm)],[c_3417]) ).
cnf(c_9934,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,townc)
| accept_population(muslimcountrybhumanitarianorganization,native,n0) ),
inference(instantiation,[status(thm)],[c_132]) ).
cnf(c_10237,plain,
( ~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4)
| accept_city(muslimcountrybhumanitarianorganization,cityb) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_10238,plain,
( ~ accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5)
| accept_city(muslimcountrybhumanitarianorganization,coastvillage) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_16008,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,cityb)
| accept_population(muslimcountrybhumanitarianorganization,atheist,n78) ),
inference(instantiation,[status(thm)],[c_129]) ).
cnf(c_16010,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,cityb)
| accept_population(muslimcountrybhumanitarianorganization,muslim,n1) ),
inference(instantiation,[status(thm)],[c_127]) ).
cnf(c_16584,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,coastvillage)
| accept_population(muslimcountrybhumanitarianorganization,other,n0) ),
inference(instantiation,[status(thm)],[c_95]) ).
cnf(c_123806,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(instantiation,[status(thm)],[c_772]) ).
cnf(c_239918,plain,
rdn_non_zero(rdnn(n7)),
inference(superposition,[status(thm)],[c_648,c_664]) ).
cnf(c_240057,plain,
( ~ rdn_positive_less(rdnn(n6),rdnn(X0))
| rdn_positive_less(rdnn(n5),rdnn(X0)) ),
inference(superposition,[status(thm)],[c_656,c_660]) ).
cnf(c_240058,plain,
( ~ rdn_positive_less(rdnn(n7),rdnn(X0))
| rdn_positive_less(rdnn(n6),rdnn(X0)) ),
inference(superposition,[status(thm)],[c_657,c_660]) ).
cnf(c_240120,plain,
rdn_positive_less(rdnn(n6),rdnn(n8)),
inference(superposition,[status(thm)],[c_658,c_240058]) ).
cnf(c_240122,plain,
rdn_positive_less(rdnn(n5),rdnn(n8)),
inference(superposition,[status(thm)],[c_240120,c_240057]) ).
cnf(c_241126,plain,
( ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n7)),X0)
| ~ rdn_translate(X1,rdn_pos(X0))
| less(n75,X1) ),
inference(superposition,[status(thm)],[c_461,c_666]) ).
cnf(c_543083,plain,
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n7))))
| ~ rdn_positive_less(rdnn(n5),rdnn(X1))
| ~ rdn_non_zero(rdnn(n7))
| less(n75,X0) ),
inference(superposition,[status(thm)],[c_662,c_241126]) ).
cnf(c_543084,plain,
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n7))))
| ~ rdn_positive_less(rdnn(n5),rdnn(X1))
| less(n75,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_543083,c_239918]) ).
cnf(c_577922,plain,
( ~ rdn_positive_less(rdnn(n5),rdnn(n8))
| less(n75,n78) ),
inference(superposition,[status(thm)],[c_464,c_543084]) ).
cnf(c_577925,plain,
less(n75,n78),
inference(forward_subsumption_resolution,[status(thm)],[c_577922,c_240122]) ).
cnf(c_732981,plain,
( ~ accept_population(X0,X1,n78)
| ~ less(X2,n78)
| accept_population(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_737680,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n78)
| ~ less(X0,n78)
| accept_population(muslimcountrybhumanitarianorganization,atheist,X0) ),
inference(instantiation,[status(thm)],[c_732981]) ).
cnf(c_742750,plain,
( ~ less(X0,n78)
| accept_population(muslimcountrybhumanitarianorganization,atheist,X0) ),
inference(global_subsumption_just,[status(thm)],[c_737680,c_144,c_10237,c_16008,c_737680]) ).
cnf(c_742763,plain,
( ~ less(n75,n78)
| accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
inference(instantiation,[status(thm)],[c_742750]) ).
cnf(c_742768,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_742763,c_577925,c_123806,c_16584,c_16010,c_10238,c_10237,c_9934,c_3418,c_3161,c_2881,c_144,c_149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : AGT018+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 16:39:12 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 182.95/24.84 % SZS status Started for theBenchmark.p
% 182.95/24.84 % SZS status Theorem for theBenchmark.p
% 182.95/24.84
% 182.95/24.84 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 182.95/24.84
% 182.95/24.84 ------ iProver source info
% 182.95/24.84
% 182.95/24.84 git: date: 2023-05-31 18:12:56 +0000
% 182.95/24.84 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 182.95/24.84 git: non_committed_changes: false
% 182.95/24.84 git: last_make_outside_of_git: false
% 182.95/24.84
% 182.95/24.84 ------ Parsing...
% 182.95/24.84 ------ Clausification by vclausify_rel & Parsing by iProver...
% 182.95/24.84
% 182.95/24.84 ------ 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
% 182.95/24.84
% 182.95/24.84 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 182.95/24.84
% 182.95/24.84 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 182.95/24.84 ------ Proving...
% 182.95/24.84 ------ Problem Properties
% 182.95/24.84
% 182.95/24.84
% 182.95/24.84 clauses 613
% 182.95/24.84 conjectures 1
% 182.95/24.84 EPR 330
% 182.95/24.84 Horn 612
% 182.95/24.84 unary 519
% 182.95/24.84 binary 72
% 182.95/24.84 lits 770
% 182.95/24.84 lits eq 1
% 182.95/24.84 fd_pure 0
% 182.95/24.84 fd_pseudo 0
% 182.95/24.84 fd_cond 0
% 182.95/24.84 fd_pseudo_cond 1
% 182.95/24.84 AC symbols 0
% 182.95/24.84
% 182.95/24.84 ------ Input Options Time Limit: Unbounded
% 182.95/24.84
% 182.95/24.84
% 182.95/24.84 ------
% 182.95/24.84 Current options:
% 182.95/24.84 ------
% 182.95/24.84
% 182.95/24.84
% 182.95/24.84
% 182.95/24.84
% 182.95/24.84 ------ Proving...
% 182.95/24.84
% 182.95/24.84
% 182.95/24.84 % SZS status Theorem for theBenchmark.p
% 182.95/24.84
% 182.95/24.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 182.95/24.84
% 182.95/24.85
%------------------------------------------------------------------------------