%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : AGT005+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.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 12:02:02 EDT 2022
% Result : Theorem 219.50s 219.70s
% Output : CNFRefutation 219.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 80 ( 38 unt; 0 def)
% Number of atoms : 166 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 166 ( 80 ~; 73 |; 8 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-1 aty)
% Number of variables : 94 ( 6 sgn 53 !; 0 ?)
% 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_2,axiom,
! [A,N,M] :
( ( accept_number(A,N)
& less(M,N) )
=> accept_number(A,M) ) ).
fof(event_26,axiom,
accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6) ).
fof(event_90,axiom,
accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5) ).
fof(event_93,axiom,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6) ).
fof(rdn3,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))) ).
fof(rdn4,axiom,
rdn_translate(n4,rdn_pos(rdnn(n4))) ).
fof(rdn5,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))) ).
fof(rdn_positive_less34,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)) ).
fof(rdn_positive_less45,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)) ).
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(query_5,conjecture,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3) ).
fof(subgoal_0,plain,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
inference(strip,[],[query_5]) ).
fof(negate_0_0,plain,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
inference(canonicalize,[],[event_26]) ).
fof(normalize_0_1,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_2,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_1]) ).
fof(normalize_0_3,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_2]) ).
fof(normalize_0_4,plain,
! [A,C,L,N] :
( ~ accept_team(A,L,C,N)
| accept_city(A,C) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
inference(canonicalize,[],[event_93]) ).
fof(normalize_0_6,plain,
! [A,C,L,N] :
( ~ accept_team(A,L,C,N)
| accept_leader(A,L) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_7,plain,
! [A,M,N] :
( ~ accept_number(A,N)
| ~ less(M,N)
| accept_number(A,M) ),
inference(canonicalize,[],[a1_2]) ).
fof(normalize_0_8,plain,
! [A,M,N] :
( ~ accept_number(A,N)
| ~ less(M,N)
| accept_number(A,M) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
rdn_translate(n4,rdn_pos(rdnn(n4))),
inference(canonicalize,[],[rdn4]) ).
fof(normalize_0_10,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(canonicalize,[],[rdn3]) ).
fof(normalize_0_11,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_12,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_11]) ).
fof(normalize_0_13,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(canonicalize,[],[rdn_positive_less34]) ).
fof(normalize_0_14,plain,
accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5),
inference(canonicalize,[],[event_90]) ).
fof(normalize_0_15,plain,
! [A,C,L,N] :
( ~ accept_team(A,L,C,N)
| accept_number(A,N) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_16,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(canonicalize,[],[rdn5]) ).
fof(normalize_0_17,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(canonicalize,[],[rdn_positive_less45]) ).
fof(normalize_0_18,plain,
! [A,C,L,N] :
( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N)
| accept_team(A,L,C,N) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_19,plain,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( ~ accept_team(A,L,C,N)
| accept_city(A,C) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6)
| accept_city(christiansufferterrahumanitarianorganization,towna) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(christiansufferterrahumanitarianorganization)),bind(C,$fot(towna)),bind(L,$fot(countryacivilorganization)),bind(N,$fot(n6))]]) ).
cnf(refute_0_3,plain,
accept_city(christiansufferterrahumanitarianorganization,towna),
inference(resolve,[$cnf( accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_5,plain,
( ~ accept_team(A,L,C,N)
| accept_leader(A,L) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_6,plain,
( ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6)
| accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(christiansufferterrahumanitarianorganization)),bind(C,$fot(coastvillage)),bind(L,$fot(countryafirstaidorganization)),bind(N,$fot(n6))]]) ).
cnf(refute_0_7,plain,
accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization),
inference(resolve,[$cnf( accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ accept_number(A,N)
| ~ less(M,N)
| accept_number(A,M) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_9,plain,
( ~ accept_number(A,n4)
| ~ less(n3,n4)
| accept_number(A,n3) ),
inference(subst,[],[refute_0_8:[bind(M,$fot(n3)),bind(N,$fot(n4))]]) ).
cnf(refute_0_10,plain,
rdn_translate(n4,rdn_pos(rdnn(n4))),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_11,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(canonicalize,[],[normalize_0_10]) ).
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_12]) ).
cnf(refute_0_13,plain,
( ~ rdn_positive_less(rdnn(n3),X_458)
| ~ rdn_translate(X_460,rdn_pos(X_458))
| ~ rdn_translate(n3,rdn_pos(rdnn(n3)))
| less(n3,X_460) ),
inference(subst,[],[refute_0_12:[bind(RDN_X,$fot(rdnn(n3))),bind(RDN_Y,$fot(X_458)),bind(X,$fot(n3)),bind(Y,$fot(X_460))]]) ).
cnf(refute_0_14,plain,
( ~ rdn_positive_less(rdnn(n3),X_458)
| ~ rdn_translate(X_460,rdn_pos(X_458))
| less(n3,X_460) ),
inference(resolve,[$cnf( rdn_translate(n3,rdn_pos(rdnn(n3))) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ rdn_positive_less(rdnn(n3),rdnn(n4))
| ~ rdn_translate(n4,rdn_pos(rdnn(n4)))
| less(n3,n4) ),
inference(subst,[],[refute_0_14:[bind(X_458,$fot(rdnn(n4))),bind(X_460,$fot(n4))]]) ).
cnf(refute_0_16,plain,
( ~ rdn_positive_less(rdnn(n3),rdnn(n4))
| less(n3,n4) ),
inference(resolve,[$cnf( rdn_translate(n4,rdn_pos(rdnn(n4))) )],[refute_0_10,refute_0_15]) ).
cnf(refute_0_17,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_18,plain,
less(n3,n4),
inference(resolve,[$cnf( rdn_positive_less(rdnn(n3),rdnn(n4)) )],[refute_0_17,refute_0_16]) ).
cnf(refute_0_19,plain,
( ~ accept_number(A,n4)
| accept_number(A,n3) ),
inference(resolve,[$cnf( less(n3,n4) )],[refute_0_18,refute_0_9]) ).
cnf(refute_0_20,plain,
( ~ accept_number(christiansufferterrahumanitarianorganization,n4)
| accept_number(christiansufferterrahumanitarianorganization,n3) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(christiansufferterrahumanitarianorganization))]]) ).
cnf(refute_0_21,plain,
accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_22,plain,
( ~ accept_team(A,L,C,N)
| accept_number(A,N) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_23,plain,
( ~ accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5)
| accept_number(christiansufferterrahumanitarianorganization,n5) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(christiansufferterrahumanitarianorganization)),bind(C,$fot(coastvillage)),bind(L,$fot(countryahumanitarianorganization)),bind(N,$fot(n5))]]) ).
cnf(refute_0_24,plain,
accept_number(christiansufferterrahumanitarianorganization,n5),
inference(resolve,[$cnf( accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5) )],[refute_0_21,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ accept_number(A,n5)
| ~ less(n4,n5)
| accept_number(A,n4) ),
inference(subst,[],[refute_0_8:[bind(M,$fot(n4)),bind(N,$fot(n5))]]) ).
cnf(refute_0_26,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_27,plain,
( ~ rdn_positive_less(rdnn(n4),X_458)
| ~ rdn_translate(X_460,rdn_pos(X_458))
| ~ rdn_translate(n4,rdn_pos(rdnn(n4)))
| less(n4,X_460) ),
inference(subst,[],[refute_0_12:[bind(RDN_X,$fot(rdnn(n4))),bind(RDN_Y,$fot(X_458)),bind(X,$fot(n4)),bind(Y,$fot(X_460))]]) ).
cnf(refute_0_28,plain,
( ~ rdn_positive_less(rdnn(n4),X_458)
| ~ rdn_translate(X_460,rdn_pos(X_458))
| less(n4,X_460) ),
inference(resolve,[$cnf( rdn_translate(n4,rdn_pos(rdnn(n4))) )],[refute_0_10,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ rdn_positive_less(rdnn(n4),rdnn(n5))
| ~ rdn_translate(n5,rdn_pos(rdnn(n5)))
| less(n4,n5) ),
inference(subst,[],[refute_0_28:[bind(X_458,$fot(rdnn(n5))),bind(X_460,$fot(n5))]]) ).
cnf(refute_0_30,plain,
( ~ rdn_positive_less(rdnn(n4),rdnn(n5))
| less(n4,n5) ),
inference(resolve,[$cnf( rdn_translate(n5,rdn_pos(rdnn(n5))) )],[refute_0_26,refute_0_29]) ).
cnf(refute_0_31,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_32,plain,
less(n4,n5),
inference(resolve,[$cnf( rdn_positive_less(rdnn(n4),rdnn(n5)) )],[refute_0_31,refute_0_30]) ).
cnf(refute_0_33,plain,
( ~ accept_number(A,n5)
| accept_number(A,n4) ),
inference(resolve,[$cnf( less(n4,n5) )],[refute_0_32,refute_0_25]) ).
cnf(refute_0_34,plain,
( ~ accept_number(christiansufferterrahumanitarianorganization,n5)
| accept_number(christiansufferterrahumanitarianorganization,n4) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(christiansufferterrahumanitarianorganization))]]) ).
cnf(refute_0_35,plain,
accept_number(christiansufferterrahumanitarianorganization,n4),
inference(resolve,[$cnf( accept_number(christiansufferterrahumanitarianorganization,n5) )],[refute_0_24,refute_0_34]) ).
cnf(refute_0_36,plain,
accept_number(christiansufferterrahumanitarianorganization,n3),
inference(resolve,[$cnf( accept_number(christiansufferterrahumanitarianorganization,n4) )],[refute_0_35,refute_0_20]) ).
cnf(refute_0_37,plain,
( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N)
| accept_team(A,L,C,N) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_38,plain,
( ~ accept_city(christiansufferterrahumanitarianorganization,X_68763)
| ~ accept_leader(christiansufferterrahumanitarianorganization,X_68764)
| ~ accept_number(christiansufferterrahumanitarianorganization,n3)
| accept_team(christiansufferterrahumanitarianorganization,X_68764,X_68763,n3) ),
inference(subst,[],[refute_0_37:[bind(A,$fot(christiansufferterrahumanitarianorganization)),bind(C,$fot(X_68763)),bind(L,$fot(X_68764)),bind(N,$fot(n3))]]) ).
cnf(refute_0_39,plain,
( ~ accept_city(christiansufferterrahumanitarianorganization,X_68763)
| ~ accept_leader(christiansufferterrahumanitarianorganization,X_68764)
| accept_team(christiansufferterrahumanitarianorganization,X_68764,X_68763,n3) ),
inference(resolve,[$cnf( accept_number(christiansufferterrahumanitarianorganization,n3) )],[refute_0_36,refute_0_38]) ).
cnf(refute_0_40,plain,
( ~ accept_city(christiansufferterrahumanitarianorganization,X_70154)
| ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
| accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,X_70154,n3) ),
inference(subst,[],[refute_0_39:[bind(X_68763,$fot(X_70154)),bind(X_68764,$fot(countryafirstaidorganization))]]) ).
cnf(refute_0_41,plain,
( ~ accept_city(christiansufferterrahumanitarianorganization,X_70154)
| accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,X_70154,n3) ),
inference(resolve,[$cnf( accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization) )],[refute_0_7,refute_0_40]) ).
cnf(refute_0_42,plain,
( ~ accept_city(christiansufferterrahumanitarianorganization,towna)
| accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3) ),
inference(subst,[],[refute_0_41:[bind(X_70154,$fot(towna))]]) ).
cnf(refute_0_43,plain,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
inference(resolve,[$cnf( accept_city(christiansufferterrahumanitarianorganization,towna) )],[refute_0_3,refute_0_42]) ).
cnf(refute_0_44,plain,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_45,plain,
$false,
inference(resolve,[$cnf( accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3) )],[refute_0_43,refute_0_44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : AGT005+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n025.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 : 600
% 0.12/0.34 % DateTime : Sat Jun 4 06:45:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 219.50/219.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 219.50/219.70
% 219.50/219.70 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 219.50/219.71
%------------------------------------------------------------------------------