TSTP Solution File: AGT023+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : AGT023+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 : 600s
% DateTime : Thu Jul 14 12:02:05 EDT 2022
% Result : Theorem 255.77s 255.97s
% Output : CNFRefutation 255.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 23
% Syntax : Number of formulae : 148 ( 49 unt; 0 def)
% Number of atoms : 396 ( 27 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 462 ( 214 ~; 187 |; 40 &)
% ( 15 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 24 ( 24 usr; 21 con; 0-2 aty)
% Number of variables : 183 ( 13 sgn 111 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a1_1,axiom,
! [A,C,N,L] :
( accept_team(A,L,C,N)
<=> ( accept_city(A,C)
& accept_leader(A,L)
& accept_number(A,N) ) ) ).
fof(a1_3,axiom,
! [A,N,M,P] :
( ( accept_population(A,P,N)
& less(M,N) )
=> accept_population(A,P,M) ) ).
fof(a1_5,axiom,
! [A,L,C] :
( any_agent_in_all_proposed_teams(A,L,C)
=> accept_leader(A,L) ) ).
fof(a1_6,axiom,
! [A,L,C] :
( the_agent_not_in_any_proposed_teams(A,L,C)
=> ~ ( accept_city(A,C)
& accept_leader(A,L) ) ) ).
fof(a2_9,axiom,
! [A] :
( ( accept_population(A,atheist,n75)
& accept_population(A,christian,n24)
& accept_population(A,muslim,n1)
& accept_population(A,native,n0)
& accept_population(A,other,n0) )
<=> accept_city(A,towna) ) ).
fof(a2_10,axiom,
! [A] :
( ( accept_population(A,atheist,n75)
& accept_population(A,christian,n25)
& accept_population(A,muslim,n0)
& accept_population(A,native,n0)
& accept_population(A,other,n0) )
<=> accept_city(A,citya) ) ).
fof(a2_12,axiom,
! [A] :
( ( accept_population(A,atheist,n78)
& accept_population(A,christian,n20)
& accept_population(A,muslim,n1)
& accept_population(A,native,n0)
& accept_population(A,other,n1) )
<=> accept_city(A,cityb) ) ).
fof(event_8,axiom,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4) ).
fof(event_11,axiom,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna) ).
fof(event_12,axiom,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna) ).
fof(rdn24,axiom,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))) ).
fof(rdn25,axiom,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))) ).
fof(rdn_digit2,axiom,
rdn_non_zero_digit(rdnn(n2)) ).
fof(rdn_positive_less45,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)) ).
fof(rdn_positive_less_multi_digit_low,axiom,
! [Ds,O,Db] :
( ( rdn_positive_less(rdnn(Ds),rdnn(Db))
& rdn_non_zero(O) )
=> rdn_positive_less(rdn(rdnn(Ds),O),rdn(rdnn(Db),O)) ) ).
fof(rdn_non_zero_by_digit,axiom,
! [X] :
( rdn_non_zero_digit(rdnn(X))
=> rdn_non_zero(rdnn(X)) ) ).
fof(less_entry_point_pos_pos,axiom,
! [X,Y,RDN_X,RDN_Y] :
( ( rdn_translate(X,rdn_pos(RDN_X))
& rdn_translate(Y,rdn_pos(RDN_Y))
& rdn_positive_less(RDN_X,RDN_Y) )
=> less(X,Y) ) ).
fof(less_property,axiom,
! [X,Y] :
( less(X,Y)
<=> ( ~ less(Y,X)
& Y != X ) ) ).
fof(query_23,conjecture,
? [X] : ~ accept_city(X,citya) ).
fof(subgoal_0,plain,
? [X] : ~ accept_city(X,citya),
inference(strip,[],[query_23]) ).
fof(negate_0_0,plain,
~ ? [X] : ~ accept_city(X,citya),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(canonicalize,[],[rdn24]) ).
fof(normalize_0_1,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(canonicalize,[],[rdn_digit2]) ).
fof(normalize_0_2,plain,
! [X] :
( ~ rdn_non_zero_digit(rdnn(X))
| rdn_non_zero(rdnn(X)) ),
inference(canonicalize,[],[rdn_non_zero_by_digit]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ rdn_non_zero_digit(rdnn(X))
| rdn_non_zero(rdnn(X)) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(canonicalize,[],[rdn_positive_less45]) ).
fof(normalize_0_5,plain,
! [Db,Ds,O] :
( ~ rdn_non_zero(O)
| ~ rdn_positive_less(rdnn(Ds),rdnn(Db))
| rdn_positive_less(rdn(rdnn(Ds),O),rdn(rdnn(Db),O)) ),
inference(canonicalize,[],[rdn_positive_less_multi_digit_low]) ).
fof(normalize_0_6,plain,
! [Db,Ds,O] :
( ~ rdn_non_zero(O)
| ~ rdn_positive_less(rdnn(Ds),rdnn(Db))
| rdn_positive_less(rdn(rdnn(Ds),O),rdn(rdnn(Db),O)) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
inference(canonicalize,[],[rdn25]) ).
fof(normalize_0_8,plain,
! [RDN_X,RDN_Y,X,Y] :
( ~ rdn_positive_less(RDN_X,RDN_Y)
| ~ rdn_translate(X,rdn_pos(RDN_X))
| ~ rdn_translate(Y,rdn_pos(RDN_Y))
| less(X,Y) ),
inference(canonicalize,[],[less_entry_point_pos_pos]) ).
fof(normalize_0_9,plain,
! [RDN_X,RDN_Y,X,Y] :
( ~ rdn_positive_less(RDN_X,RDN_Y)
| ~ rdn_translate(X,rdn_pos(RDN_X))
| ~ rdn_translate(Y,rdn_pos(RDN_Y))
| less(X,Y) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X,Y] :
( ~ less(X,Y)
<=> ( Y = X
| less(Y,X) ) ),
inference(canonicalize,[],[less_property]) ).
fof(normalize_0_11,plain,
! [X,Y] :
( ~ less(X,Y)
<=> ( Y = X
| less(Y,X) ) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X,Y] :
( ( Y != X
| ~ less(X,Y) )
& ( ~ less(X,Y)
| ~ less(Y,X) )
& ( Y = X
| less(X,Y)
| less(Y,X) ) ),
inference(clausify,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X,Y] :
( ~ less(X,Y)
| ~ less(Y,X) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X,Y] :
( Y = X
| less(X,Y)
| less(Y,X) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_15,plain,
! [A] :
( ~ accept_city(A,citya)
<=> ( ~ accept_population(A,atheist,n75)
| ~ accept_population(A,christian,n25)
| ~ accept_population(A,muslim,n0)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,other,n0) ) ),
inference(canonicalize,[],[a2_10]) ).
fof(normalize_0_16,plain,
! [A] :
( ~ accept_city(A,citya)
<=> ( ~ accept_population(A,atheist,n75)
| ~ accept_population(A,christian,n25)
| ~ accept_population(A,muslim,n0)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,other,n0) ) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A] :
( ( ~ accept_city(A,citya)
| accept_population(A,atheist,n75) )
& ( ~ accept_city(A,citya)
| accept_population(A,christian,n25) )
& ( ~ accept_city(A,citya)
| accept_population(A,muslim,n0) )
& ( ~ accept_city(A,citya)
| accept_population(A,native,n0) )
& ( ~ accept_city(A,citya)
| accept_population(A,other,n0) )
& ( ~ accept_population(A,atheist,n75)
| ~ accept_population(A,christian,n25)
| ~ accept_population(A,muslim,n0)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,other,n0)
| accept_city(A,citya) ) ),
inference(clausify,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [A] :
( ~ accept_city(A,citya)
| accept_population(A,christian,n25) ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X] : accept_city(X,citya),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_20,plain,
! [X] : accept_city(X,citya),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A,M,N,P] :
( ~ accept_population(A,P,N)
| ~ less(M,N)
| accept_population(A,P,M) ),
inference(canonicalize,[],[a1_3]) ).
fof(normalize_0_22,plain,
! [A,M,N,P] :
( ~ accept_population(A,P,N)
| ~ less(M,N)
| accept_population(A,P,M) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A] :
( ~ accept_city(A,cityb)
<=> ( ~ accept_population(A,atheist,n78)
| ~ accept_population(A,christian,n20)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,other,n1) ) ),
inference(canonicalize,[],[a2_12]) ).
fof(normalize_0_24,plain,
! [A] :
( ~ accept_city(A,cityb)
<=> ( ~ accept_population(A,atheist,n78)
| ~ accept_population(A,christian,n20)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,other,n1) ) ),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [A] :
( ( ~ accept_city(A,cityb)
| accept_population(A,atheist,n78) )
& ( ~ accept_city(A,cityb)
| accept_population(A,christian,n20) )
& ( ~ accept_city(A,cityb)
| accept_population(A,muslim,n1) )
& ( ~ accept_city(A,cityb)
| accept_population(A,native,n0) )
& ( ~ accept_city(A,cityb)
| accept_population(A,other,n1) )
& ( ~ accept_population(A,atheist,n78)
| ~ accept_population(A,christian,n20)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,other,n1)
| accept_city(A,cityb) ) ),
inference(clausify,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [A] :
( ~ accept_city(A,cityb)
| accept_population(A,muslim,n1) ),
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
inference(canonicalize,[],[event_8]) ).
fof(normalize_0_28,plain,
! [A,C,L,N] :
( ~ accept_team(A,L,C,N)
<=> ( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N) ) ),
inference(canonicalize,[],[a1_1]) ).
fof(normalize_0_29,plain,
! [A,C,L,N] :
( ~ accept_team(A,L,C,N)
<=> ( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N) ) ),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [A,C,L,N] :
( ( ~ accept_team(A,L,C,N)
| accept_city(A,C) )
& ( ~ accept_team(A,L,C,N)
| accept_leader(A,L) )
& ( ~ accept_team(A,L,C,N)
| accept_number(A,N) )
& ( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N)
| accept_team(A,L,C,N) ) ),
inference(clausify,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [A,C,L,N] :
( ~ accept_team(A,L,C,N)
| accept_city(A,C) ),
inference(conjunct,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [A] :
( ~ accept_city(A,towna)
<=> ( ~ accept_population(A,atheist,n75)
| ~ accept_population(A,christian,n24)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,other,n0) ) ),
inference(canonicalize,[],[a2_9]) ).
fof(normalize_0_33,plain,
! [A] :
( ~ accept_city(A,towna)
<=> ( ~ accept_population(A,atheist,n75)
| ~ accept_population(A,christian,n24)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,other,n0) ) ),
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [A] :
( ( ~ accept_city(A,towna)
| accept_population(A,atheist,n75) )
& ( ~ accept_city(A,towna)
| accept_population(A,christian,n24) )
& ( ~ accept_city(A,towna)
| accept_population(A,muslim,n1) )
& ( ~ accept_city(A,towna)
| accept_population(A,native,n0) )
& ( ~ accept_city(A,towna)
| accept_population(A,other,n0) )
& ( ~ accept_population(A,atheist,n75)
| ~ accept_population(A,christian,n24)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,other,n0)
| accept_city(A,towna) ) ),
inference(clausify,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [A] :
( ~ accept_population(A,atheist,n75)
| ~ accept_population(A,christian,n24)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,other,n0)
| accept_city(A,towna) ),
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
! [A] :
( ~ accept_city(A,citya)
| accept_population(A,atheist,n75) ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_37,plain,
! [A] :
( ~ accept_city(A,citya)
| accept_population(A,native,n0) ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_38,plain,
! [A] :
( ~ accept_city(A,citya)
| accept_population(A,other,n0) ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_39,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(canonicalize,[],[event_11]) ).
fof(normalize_0_40,plain,
! [A,C,L] :
( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ the_agent_not_in_any_proposed_teams(A,L,C) ),
inference(canonicalize,[],[a1_6]) ).
fof(normalize_0_41,plain,
! [A,C,L] :
( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ the_agent_not_in_any_proposed_teams(A,L,C) ),
inference(specialize,[],[normalize_0_40]) ).
fof(normalize_0_42,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(canonicalize,[],[event_12]) ).
fof(normalize_0_43,plain,
! [A,L] :
( accept_leader(A,L)
| ! [C] : ~ any_agent_in_all_proposed_teams(A,L,C) ),
inference(canonicalize,[],[a1_5]) ).
fof(normalize_0_44,plain,
! [A,L] :
( accept_leader(A,L)
| ! [C] : ~ any_agent_in_all_proposed_teams(A,L,C) ),
inference(specialize,[],[normalize_0_43]) ).
fof(normalize_0_45,plain,
! [A,C,L] :
( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) ),
inference(clausify,[],[normalize_0_44]) ).
fof(normalize_0_46,plain,
! [X,Y] :
( Y != X
| ~ less(X,Y) ),
inference(conjunct,[],[normalize_0_12]) ).
cnf(refute_0_0,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_2,plain,
( ~ rdn_non_zero_digit(rdnn(X))
| rdn_non_zero(rdnn(X)) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
( ~ rdn_non_zero_digit(rdnn(n2))
| rdn_non_zero(rdnn(n2)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(n2))]]) ).
cnf(refute_0_4,plain,
rdn_non_zero(rdnn(n2)),
inference(resolve,[$cnf( rdn_non_zero_digit(rdnn(n2)) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_6,plain,
( ~ rdn_non_zero(O)
| ~ rdn_positive_less(rdnn(Ds),rdnn(Db))
| rdn_positive_less(rdn(rdnn(Ds),O),rdn(rdnn(Db),O)) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_7,plain,
( ~ rdn_non_zero(X_24419)
| ~ rdn_positive_less(rdnn(n4),rdnn(n5))
| rdn_positive_less(rdn(rdnn(n4),X_24419),rdn(rdnn(n5),X_24419)) ),
inference(subst,[],[refute_0_6:[bind(Db,$fot(n5)),bind(Ds,$fot(n4)),bind(O,$fot(X_24419))]]) ).
cnf(refute_0_8,plain,
( ~ rdn_non_zero(X_24419)
| rdn_positive_less(rdn(rdnn(n4),X_24419),rdn(rdnn(n5),X_24419)) ),
inference(resolve,[$cnf( rdn_positive_less(rdnn(n4),rdnn(n5)) )],[refute_0_5,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ rdn_non_zero(rdnn(n2))
| rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),rdn(rdnn(n5),rdnn(n2))) ),
inference(subst,[],[refute_0_8:[bind(X_24419,$fot(rdnn(n2)))]]) ).
cnf(refute_0_10,plain,
rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),rdn(rdnn(n5),rdnn(n2))),
inference(resolve,[$cnf( rdn_non_zero(rdnn(n2)) )],[refute_0_4,refute_0_9]) ).
cnf(refute_0_11,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_12,plain,
( ~ rdn_positive_less(RDN_X,RDN_Y)
| ~ rdn_translate(X,rdn_pos(RDN_X))
| ~ rdn_translate(Y,rdn_pos(RDN_Y))
| less(X,Y) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_13,plain,
( ~ rdn_positive_less(X_53955,rdn(rdnn(n5),rdnn(n2)))
| ~ rdn_translate(X_53957,rdn_pos(X_53955))
| ~ rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2))))
| less(X_53957,n25) ),
inference(subst,[],[refute_0_12:[bind(RDN_X,$fot(X_53955)),bind(RDN_Y,$fot(rdn(rdnn(n5),rdnn(n2)))),bind(X,$fot(X_53957)),bind(Y,$fot(n25))]]) ).
cnf(refute_0_14,plain,
( ~ rdn_positive_less(X_53955,rdn(rdnn(n5),rdnn(n2)))
| ~ rdn_translate(X_53957,rdn_pos(X_53955))
| less(X_53957,n25) ),
inference(resolve,[$cnf( rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),rdn(rdnn(n5),rdnn(n2)))
| ~ rdn_translate(X_54509,rdn_pos(rdn(rdnn(n4),rdnn(n2))))
| less(X_54509,n25) ),
inference(subst,[],[refute_0_14:[bind(X_53955,$fot(rdn(rdnn(n4),rdnn(n2)))),bind(X_53957,$fot(X_54509))]]) ).
cnf(refute_0_16,plain,
( ~ rdn_translate(X_54509,rdn_pos(rdn(rdnn(n4),rdnn(n2))))
| less(X_54509,n25) ),
inference(resolve,[$cnf( rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),rdn(rdnn(n5),rdnn(n2))) )],[refute_0_10,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2))))
| less(n24,n25) ),
inference(subst,[],[refute_0_16:[bind(X_54509,$fot(n24))]]) ).
cnf(refute_0_18,plain,
less(n24,n25),
inference(resolve,[$cnf( rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))) )],[refute_0_0,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ less(X,Y)
| ~ less(Y,X) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_20,plain,
( ~ less(n24,n25)
| ~ less(n25,n24) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(n25)),bind(Y,$fot(n24))]]) ).
cnf(refute_0_21,plain,
( Y = X
| less(X,Y)
| less(Y,X) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_22,plain,
( X_756 = n25
| less(X_756,n25)
| less(n25,X_756) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(n25)),bind(Y,$fot(X_756))]]) ).
cnf(refute_0_23,plain,
( ~ accept_city(A,citya)
| accept_population(A,christian,n25) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_24,plain,
accept_city(X,citya),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_25,plain,
accept_city(A,citya),
inference(subst,[],[refute_0_24:[bind(X,$fot(A))]]) ).
cnf(refute_0_26,plain,
accept_population(A,christian,n25),
inference(resolve,[$cnf( accept_city(A,citya) )],[refute_0_25,refute_0_23]) ).
cnf(refute_0_27,plain,
accept_population(X_613,christian,n25),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_613))]]) ).
cnf(refute_0_28,plain,
( ~ accept_population(A,P,N)
| ~ less(M,N)
| accept_population(A,P,M) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_29,plain,
( ~ accept_population(X_613,christian,n25)
| ~ less(X_614,n25)
| accept_population(X_613,christian,X_614) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_613)),bind(M,$fot(X_614)),bind(N,$fot(n25)),bind(P,$fot(christian))]]) ).
cnf(refute_0_30,plain,
( ~ less(X_614,n25)
| accept_population(X_613,christian,X_614) ),
inference(resolve,[$cnf( accept_population(X_613,christian,n25) )],[refute_0_27,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ less(X_756,n25)
| accept_population(X_755,christian,X_756) ),
inference(subst,[],[refute_0_30:[bind(X_613,$fot(X_755)),bind(X_614,$fot(X_756))]]) ).
cnf(refute_0_32,plain,
( X_756 = n25
| accept_population(X_755,christian,X_756)
| less(n25,X_756) ),
inference(resolve,[$cnf( less(X_756,n25) )],[refute_0_22,refute_0_31]) ).
cnf(refute_0_33,plain,
( n24 = n25
| accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| less(n25,n24) ),
inference(subst,[],[refute_0_32:[bind(X_755,$fot(muslimcountrybhumanitarianorganization)),bind(X_756,$fot(n24))]]) ).
cnf(refute_0_34,plain,
( ~ accept_city(A,cityb)
| accept_population(A,muslim,n1) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_35,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,cityb)
| accept_population(muslimcountrybhumanitarianorganization,muslim,n1) ),
inference(subst,[],[refute_0_34:[bind(A,$fot(muslimcountrybhumanitarianorganization))]]) ).
cnf(refute_0_36,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_37,plain,
( ~ accept_team(A,L,C,N)
| accept_city(A,C) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_38,plain,
( ~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4)
| accept_city(muslimcountrybhumanitarianorganization,cityb) ),
inference(subst,[],[refute_0_37:[bind(A,$fot(muslimcountrybhumanitarianorganization)),bind(C,$fot(cityb)),bind(L,$fot(countrybhumanitarianorganization)),bind(N,$fot(n4))]]) ).
cnf(refute_0_39,plain,
accept_city(muslimcountrybhumanitarianorganization,cityb),
inference(resolve,[$cnf( accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4) )],[refute_0_36,refute_0_38]) ).
cnf(refute_0_40,plain,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
inference(resolve,[$cnf( accept_city(muslimcountrybhumanitarianorganization,cityb) )],[refute_0_39,refute_0_35]) ).
cnf(refute_0_41,plain,
( ~ accept_population(A,atheist,n75)
| ~ accept_population(A,christian,n24)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,other,n0)
| accept_city(A,towna) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_42,plain,
( ~ accept_city(A,citya)
| accept_population(A,atheist,n75) ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_43,plain,
accept_population(A,atheist,n75),
inference(resolve,[$cnf( accept_city(A,citya) )],[refute_0_25,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ accept_population(A,christian,n24)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,other,n0)
| accept_city(A,towna) ),
inference(resolve,[$cnf( accept_population(A,atheist,n75) )],[refute_0_43,refute_0_41]) ).
cnf(refute_0_45,plain,
( ~ accept_city(A,citya)
| accept_population(A,native,n0) ),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_46,plain,
accept_population(A,native,n0),
inference(resolve,[$cnf( accept_city(A,citya) )],[refute_0_25,refute_0_45]) ).
cnf(refute_0_47,plain,
( ~ accept_population(A,christian,n24)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,other,n0)
| accept_city(A,towna) ),
inference(resolve,[$cnf( accept_population(A,native,n0) )],[refute_0_46,refute_0_44]) ).
cnf(refute_0_48,plain,
( ~ accept_city(A,citya)
| accept_population(A,other,n0) ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_49,plain,
accept_population(A,other,n0),
inference(resolve,[$cnf( accept_city(A,citya) )],[refute_0_25,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ accept_population(A,christian,n24)
| ~ accept_population(A,muslim,n1)
| accept_city(A,towna) ),
inference(resolve,[$cnf( accept_population(A,other,n0) )],[refute_0_49,refute_0_47]) ).
cnf(refute_0_51,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(subst,[],[refute_0_50:[bind(A,$fot(muslimcountrybhumanitarianorganization))]]) ).
cnf(refute_0_52,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolve,[$cnf( accept_population(muslimcountrybhumanitarianorganization,muslim,n1) )],[refute_0_40,refute_0_51]) ).
cnf(refute_0_53,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_54,plain,
( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ the_agent_not_in_any_proposed_teams(A,L,C) ),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_55,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
| ~ the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna) ),
inference(subst,[],[refute_0_54:[bind(A,$fot(muslimcountrybhumanitarianorganization)),bind(C,$fot(towna)),bind(L,$fot(countryacivilorganization))]]) ).
cnf(refute_0_56,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ),
inference(resolve,[$cnf( the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna) )],[refute_0_53,refute_0_55]) ).
cnf(refute_0_57,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_58,plain,
( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) ),
inference(canonicalize,[],[normalize_0_45]) ).
cnf(refute_0_59,plain,
( ~ any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)
| accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ),
inference(subst,[],[refute_0_58:[bind(A,$fot(muslimcountrybhumanitarianorganization)),bind(C,$fot(towna)),bind(L,$fot(countryacivilorganization))]]) ).
cnf(refute_0_60,plain,
accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
inference(resolve,[$cnf( any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna) )],[refute_0_57,refute_0_59]) ).
cnf(refute_0_61,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference(resolve,[$cnf( accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) )],[refute_0_60,refute_0_56]) ).
cnf(refute_0_62,plain,
~ accept_population(muslimcountrybhumanitarianorganization,christian,n24),
inference(resolve,[$cnf( accept_city(muslimcountrybhumanitarianorganization,towna) )],[refute_0_52,refute_0_61]) ).
cnf(refute_0_63,plain,
( n24 = n25
| less(n25,n24) ),
inference(resolve,[$cnf( accept_population(muslimcountrybhumanitarianorganization,christian,n24) )],[refute_0_33,refute_0_62]) ).
cnf(refute_0_64,plain,
( ~ less(n24,n25)
| n24 = n25 ),
inference(resolve,[$cnf( less(n25,n24) )],[refute_0_63,refute_0_20]) ).
cnf(refute_0_65,plain,
n24 = n25,
inference(resolve,[$cnf( less(n24,n25) )],[refute_0_18,refute_0_64]) ).
cnf(refute_0_66,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_67,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_68,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
( n24 != n25
| n25 = n24 ),
inference(subst,[],[refute_0_68:[bind(X0,$fot(n24)),bind(Y0,$fot(n25))]]) ).
cnf(refute_0_70,plain,
n25 = n24,
inference(resolve,[$cnf( $equal(n24,n25) )],[refute_0_65,refute_0_69]) ).
cnf(refute_0_71,plain,
( n25 != n24
| ~ less(n24,n25)
| less(n24,n24) ),
introduced(tautology,[equality,[$cnf( less(n24,n25) ),[1],$fot(n24)]]) ).
cnf(refute_0_72,plain,
( ~ less(n24,n25)
| less(n24,n24) ),
inference(resolve,[$cnf( $equal(n25,n24) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
less(n24,n24),
inference(resolve,[$cnf( less(n24,n25) )],[refute_0_18,refute_0_72]) ).
cnf(refute_0_74,plain,
( Y != X
| ~ less(X,Y) ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_75,plain,
( X != X
| ~ less(X,X) ),
inference(subst,[],[refute_0_74:[bind(Y,$fot(X))]]) ).
cnf(refute_0_76,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_77,plain,
~ less(X,X),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_76,refute_0_75]) ).
cnf(refute_0_78,plain,
~ less(n24,n24),
inference(subst,[],[refute_0_77:[bind(X,$fot(n24))]]) ).
cnf(refute_0_79,plain,
$false,
inference(resolve,[$cnf( less(n24,n24) )],[refute_0_73,refute_0_78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : AGT023+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sat Jun 4 04:11:58 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 255.77/255.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 255.77/255.97
% 255.77/255.97 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 255.77/255.98
%------------------------------------------------------------------------------