TSTP Solution File: PLA031-1.003 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PLA031-1.003 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 : Mon Jul 18 17:26:22 EDT 2022
% Result : Unsatisfiable 209.79s 210.00s
% Output : CNFRefutation 209.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 21
% Syntax : Number of clauses : 76 ( 29 unt; 0 nHn; 76 RR)
% Number of literals : 137 ( 0 equ; 63 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 102 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(load1,axiom,
( ~ s(L,O2,O3,O4,D1,D2,L,T2)
| s(truck1,O2,O3,O4,D1,D2,L,T2) ) ).
cnf(load2,axiom,
( s(L,O2,O3,O4,D1,D2,L,T2)
| ~ s(truck1,O2,O3,O4,D1,D2,L,T2) ) ).
cnf(load9,axiom,
( ~ s(O1,O2,L,O4,D1,D2,L,T2)
| s(O1,O2,truck1,O4,D1,D2,L,T2) ) ).
cnf(load10,axiom,
( s(O1,O2,L,O4,D1,D2,L,T2)
| ~ s(O1,O2,truck1,O4,D1,D2,L,T2) ) ).
cnf(load13,axiom,
( ~ s(O1,O2,O3,L,D1,D2,L,T2)
| s(O1,O2,O3,truck1,D1,D2,L,T2) ) ).
cnf(load14,axiom,
( s(O1,O2,O3,L,D1,D2,L,T2)
| ~ s(O1,O2,O3,truck1,D1,D2,L,T2) ) ).
cnf(board1,axiom,
( ~ s(O1,O2,O3,O4,L,D2,L,T2)
| ~ neq(D2,truck1)
| s(O1,O2,O3,O4,truck1,D2,L,T2) ) ).
cnf(board2,axiom,
( s(O1,O2,O3,O4,L,D2,L,T2)
| ~ s(O1,O2,O3,O4,truck1,D2,L,T2) ) ).
cnf(drive1,axiom,
( ~ s(O1,O2,O3,O4,truck1,D2,S,T2)
| ~ link(S,D)
| s(O1,O2,O3,O4,truck1,D2,D,T2) ) ).
cnf(walk1,axiom,
( ~ s(O1,O2,O3,O4,S,D2,T1,T2)
| ~ path(S,D)
| s(O1,O2,O3,O4,D,D2,T1,T2) ) ).
cnf(walk2,axiom,
( ~ s(O1,O2,O3,O4,D1,S,T1,T2)
| ~ path(S,D)
| s(O1,O2,O3,O4,D1,D,T1,T2) ) ).
cnf(neq41,axiom,
neq(p0_1,truck1) ).
cnf(map1,axiom,
path(s0,p0_1) ).
cnf(map4,axiom,
path(p0_1,s1) ).
cnf(map6,axiom,
path(p1_2,s1) ).
cnf(map7,axiom,
path(s2,p1_2) ).
cnf(map13,axiom,
link(s1,s2) ).
cnf(map15,axiom,
link(s2,s0) ).
cnf(map16,axiom,
link(s0,s2) ).
cnf(init,axiom,
s(s1,s2,s2,s0,s2,s0,s1,s1) ).
cnf(goal,negated_conjecture,
~ s(s2,s2,s0,s2,s1,X6,s0,X8) ).
cnf(refute_0_0,plain,
( ~ s(s2,s2,truck1,s2,s1,p0_1,s0,s1)
| s(s2,s2,s0,s2,s1,p0_1,s0,s1) ),
inference(subst,[],[load10:[bind(D1,$fot(s1)),bind(D2,$fot(p0_1)),bind(L,$fot(s0)),bind(O1,$fot(s2)),bind(O2,$fot(s2)),bind(O4,$fot(s2)),bind(T2,$fot(s1))]]) ).
cnf(refute_0_1,plain,
( ~ path(p0_1,D)
| ~ s(s2,s2,truck1,s2,p0_1,p0_1,s0,s1)
| s(s2,s2,truck1,s2,D,p0_1,s0,s1) ),
inference(subst,[],[walk1:[bind(D2,$fot(p0_1)),bind(O1,$fot(s2)),bind(O2,$fot(s2)),bind(O3,$fot(truck1)),bind(O4,$fot(s2)),bind(S,$fot(p0_1)),bind(T1,$fot(s0)),bind(T2,$fot(s1))]]) ).
cnf(refute_0_2,plain,
( ~ path(s0,D)
| ~ s(s2,s2,truck1,s2,s0,p0_1,s0,s1)
| s(s2,s2,truck1,s2,D,p0_1,s0,s1) ),
inference(subst,[],[walk1:[bind(D2,$fot(p0_1)),bind(O1,$fot(s2)),bind(O2,$fot(s2)),bind(O3,$fot(truck1)),bind(O4,$fot(s2)),bind(S,$fot(s0)),bind(T1,$fot(s0)),bind(T2,$fot(s1))]]) ).
cnf(refute_0_3,plain,
( ~ s(s2,s2,truck1,s2,truck1,p0_1,s0,s1)
| s(s2,s2,truck1,s2,s0,p0_1,s0,s1) ),
inference(subst,[],[board2:[bind(D2,$fot(p0_1)),bind(L,$fot(s0)),bind(O1,$fot(s2)),bind(O2,$fot(s2)),bind(O3,$fot(truck1)),bind(O4,$fot(s2)),bind(T2,$fot(s1))]]) ).
cnf(refute_0_4,plain,
( ~ link(s2,D)
| ~ s(s2,s2,truck1,s2,truck1,p0_1,s2,s1)
| s(s2,s2,truck1,s2,truck1,p0_1,D,s1) ),
inference(subst,[],[drive1:[bind(D2,$fot(p0_1)),bind(O1,$fot(s2)),bind(O2,$fot(s2)),bind(O3,$fot(truck1)),bind(O4,$fot(s2)),bind(S,$fot(s2)),bind(T2,$fot(s1))]]) ).
cnf(refute_0_5,plain,
( ~ s(s2,s2,truck1,truck1,truck1,p0_1,s2,s1)
| s(s2,s2,truck1,s2,truck1,p0_1,s2,s1) ),
inference(subst,[],[load14:[bind(D1,$fot(truck1)),bind(D2,$fot(p0_1)),bind(L,$fot(s2)),bind(O1,$fot(s2)),bind(O2,$fot(s2)),bind(O3,$fot(truck1)),bind(T2,$fot(s1))]]) ).
cnf(refute_0_6,plain,
( ~ s(s2,s2,s2,truck1,truck1,p0_1,s2,s1)
| s(s2,s2,truck1,truck1,truck1,p0_1,s2,s1) ),
inference(subst,[],[load9:[bind(D1,$fot(truck1)),bind(D2,$fot(p0_1)),bind(L,$fot(s2)),bind(O1,$fot(s2)),bind(O2,$fot(s2)),bind(O4,$fot(truck1)),bind(T2,$fot(s1))]]) ).
cnf(refute_0_7,plain,
( ~ s(truck1,s2,s2,truck1,truck1,p0_1,s2,s1)
| s(s2,s2,s2,truck1,truck1,p0_1,s2,s1) ),
inference(subst,[],[load2:[bind(D1,$fot(truck1)),bind(D2,$fot(p0_1)),bind(L,$fot(s2)),bind(O2,$fot(s2)),bind(O3,$fot(s2)),bind(O4,$fot(truck1)),bind(T2,$fot(s1))]]) ).
cnf(refute_0_8,plain,
( ~ link(s0,D)
| ~ s(truck1,s2,s2,truck1,truck1,p0_1,s0,s1)
| s(truck1,s2,s2,truck1,truck1,p0_1,D,s1) ),
inference(subst,[],[drive1:[bind(D2,$fot(p0_1)),bind(O1,$fot(truck1)),bind(O2,$fot(s2)),bind(O3,$fot(s2)),bind(O4,$fot(truck1)),bind(S,$fot(s0)),bind(T2,$fot(s1))]]) ).
cnf(refute_0_9,plain,
( ~ s(truck1,s2,s2,s0,truck1,p0_1,s0,s1)
| s(truck1,s2,s2,truck1,truck1,p0_1,s0,s1) ),
inference(subst,[],[load13:[bind(D1,$fot(truck1)),bind(D2,$fot(p0_1)),bind(L,$fot(s0)),bind(O1,$fot(truck1)),bind(O2,$fot(s2)),bind(O3,$fot(s2)),bind(T2,$fot(s1))]]) ).
cnf(refute_0_10,plain,
( ~ link(s2,D)
| ~ s(truck1,s2,s2,s0,truck1,p0_1,s2,s1)
| s(truck1,s2,s2,s0,truck1,p0_1,D,s1) ),
inference(subst,[],[drive1:[bind(D2,$fot(p0_1)),bind(O1,$fot(truck1)),bind(O2,$fot(s2)),bind(O3,$fot(s2)),bind(O4,$fot(s0)),bind(S,$fot(s2)),bind(T2,$fot(s1))]]) ).
cnf(refute_0_11,plain,
( ~ s(s1,s2,s2,s0,truck1,p0_1,s1,s1)
| s(truck1,s2,s2,s0,truck1,p0_1,s1,s1) ),
inference(subst,[],[load1:[bind(D1,$fot(truck1)),bind(D2,$fot(p0_1)),bind(L,$fot(s1)),bind(O2,$fot(s2)),bind(O3,$fot(s2)),bind(O4,$fot(s0)),bind(T2,$fot(s1))]]) ).
cnf(refute_0_12,plain,
( ~ neq(p0_1,truck1)
| ~ s(s1,s2,s2,s0,s1,p0_1,s1,s1)
| s(s1,s2,s2,s0,truck1,p0_1,s1,s1) ),
inference(subst,[],[board1:[bind(D2,$fot(p0_1)),bind(L,$fot(s1)),bind(O1,$fot(s1)),bind(O2,$fot(s2)),bind(O3,$fot(s2)),bind(O4,$fot(s0)),bind(T2,$fot(s1))]]) ).
cnf(refute_0_13,plain,
( ~ path(p1_2,D)
| ~ s(s1,s2,s2,s0,p1_2,p0_1,s1,s1)
| s(s1,s2,s2,s0,D,p0_1,s1,s1) ),
inference(subst,[],[walk1:[bind(D2,$fot(p0_1)),bind(O1,$fot(s1)),bind(O2,$fot(s2)),bind(O3,$fot(s2)),bind(O4,$fot(s0)),bind(S,$fot(p1_2)),bind(T1,$fot(s1)),bind(T2,$fot(s1))]]) ).
cnf(refute_0_14,plain,
( ~ path(s0,X_170)
| ~ s(s1,s2,s2,s0,s2,s0,s1,s1)
| s(s1,s2,s2,s0,s2,X_170,s1,s1) ),
inference(subst,[],[walk2:[bind(D,$fot(X_170)),bind(D1,$fot(s2)),bind(O1,$fot(s1)),bind(O2,$fot(s2)),bind(O3,$fot(s2)),bind(O4,$fot(s0)),bind(S,$fot(s0)),bind(T1,$fot(s1)),bind(T2,$fot(s1))]]) ).
cnf(refute_0_15,plain,
( ~ path(s0,X_170)
| s(s1,s2,s2,s0,s2,X_170,s1,s1) ),
inference(resolve,[$cnf( s(s1,s2,s2,s0,s2,s0,s1,s1) )],[init,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ path(s0,p0_1)
| s(s1,s2,s2,s0,s2,p0_1,s1,s1) ),
inference(subst,[],[refute_0_15:[bind(X_170,$fot(p0_1))]]) ).
cnf(refute_0_17,plain,
s(s1,s2,s2,s0,s2,p0_1,s1,s1),
inference(resolve,[$cnf( path(s0,p0_1) )],[map1,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ path(s2,X_203)
| ~ s(s1,s2,s2,s0,s2,p0_1,s1,s1)
| s(s1,s2,s2,s0,X_203,p0_1,s1,s1) ),
inference(subst,[],[walk1:[bind(D,$fot(X_203)),bind(D2,$fot(p0_1)),bind(O1,$fot(s1)),bind(O2,$fot(s2)),bind(O3,$fot(s2)),bind(O4,$fot(s0)),bind(S,$fot(s2)),bind(T1,$fot(s1)),bind(T2,$fot(s1))]]) ).
cnf(refute_0_19,plain,
( ~ path(s2,X_203)
| s(s1,s2,s2,s0,X_203,p0_1,s1,s1) ),
inference(resolve,[$cnf( s(s1,s2,s2,s0,s2,p0_1,s1,s1) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ path(s2,p1_2)
| s(s1,s2,s2,s0,p1_2,p0_1,s1,s1) ),
inference(subst,[],[refute_0_19:[bind(X_203,$fot(p1_2))]]) ).
cnf(refute_0_21,plain,
s(s1,s2,s2,s0,p1_2,p0_1,s1,s1),
inference(resolve,[$cnf( path(s2,p1_2) )],[map7,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ path(p1_2,D)
| s(s1,s2,s2,s0,D,p0_1,s1,s1) ),
inference(resolve,[$cnf( s(s1,s2,s2,s0,p1_2,p0_1,s1,s1) )],[refute_0_21,refute_0_13]) ).
cnf(refute_0_23,plain,
( ~ path(p1_2,s1)
| s(s1,s2,s2,s0,s1,p0_1,s1,s1) ),
inference(subst,[],[refute_0_22:[bind(D,$fot(s1))]]) ).
cnf(refute_0_24,plain,
s(s1,s2,s2,s0,s1,p0_1,s1,s1),
inference(resolve,[$cnf( path(p1_2,s1) )],[map6,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ neq(p0_1,truck1)
| s(s1,s2,s2,s0,truck1,p0_1,s1,s1) ),
inference(resolve,[$cnf( s(s1,s2,s2,s0,s1,p0_1,s1,s1) )],[refute_0_24,refute_0_12]) ).
cnf(refute_0_26,plain,
s(s1,s2,s2,s0,truck1,p0_1,s1,s1),
inference(resolve,[$cnf( neq(p0_1,truck1) )],[neq41,refute_0_25]) ).
cnf(refute_0_27,plain,
s(truck1,s2,s2,s0,truck1,p0_1,s1,s1),
inference(resolve,[$cnf( s(s1,s2,s2,s0,truck1,p0_1,s1,s1) )],[refute_0_26,refute_0_11]) ).
cnf(refute_0_28,plain,
( ~ link(s1,X_560)
| ~ s(truck1,s2,s2,s0,truck1,p0_1,s1,s1)
| s(truck1,s2,s2,s0,truck1,p0_1,X_560,s1) ),
inference(subst,[],[drive1:[bind(D,$fot(X_560)),bind(D2,$fot(p0_1)),bind(O1,$fot(truck1)),bind(O2,$fot(s2)),bind(O3,$fot(s2)),bind(O4,$fot(s0)),bind(S,$fot(s1)),bind(T2,$fot(s1))]]) ).
cnf(refute_0_29,plain,
( ~ link(s1,X_560)
| s(truck1,s2,s2,s0,truck1,p0_1,X_560,s1) ),
inference(resolve,[$cnf( s(truck1,s2,s2,s0,truck1,p0_1,s1,s1) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ link(s1,s2)
| s(truck1,s2,s2,s0,truck1,p0_1,s2,s1) ),
inference(subst,[],[refute_0_29:[bind(X_560,$fot(s2))]]) ).
cnf(refute_0_31,plain,
s(truck1,s2,s2,s0,truck1,p0_1,s2,s1),
inference(resolve,[$cnf( link(s1,s2) )],[map13,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ link(s2,D)
| s(truck1,s2,s2,s0,truck1,p0_1,D,s1) ),
inference(resolve,[$cnf( s(truck1,s2,s2,s0,truck1,p0_1,s2,s1) )],[refute_0_31,refute_0_10]) ).
cnf(refute_0_33,plain,
( ~ link(s2,s0)
| s(truck1,s2,s2,s0,truck1,p0_1,s0,s1) ),
inference(subst,[],[refute_0_32:[bind(D,$fot(s0))]]) ).
cnf(refute_0_34,plain,
s(truck1,s2,s2,s0,truck1,p0_1,s0,s1),
inference(resolve,[$cnf( link(s2,s0) )],[map15,refute_0_33]) ).
cnf(refute_0_35,plain,
s(truck1,s2,s2,truck1,truck1,p0_1,s0,s1),
inference(resolve,[$cnf( s(truck1,s2,s2,s0,truck1,p0_1,s0,s1) )],[refute_0_34,refute_0_9]) ).
cnf(refute_0_36,plain,
( ~ link(s0,D)
| s(truck1,s2,s2,truck1,truck1,p0_1,D,s1) ),
inference(resolve,[$cnf( s(truck1,s2,s2,truck1,truck1,p0_1,s0,s1) )],[refute_0_35,refute_0_8]) ).
cnf(refute_0_37,plain,
( ~ link(s0,s2)
| s(truck1,s2,s2,truck1,truck1,p0_1,s2,s1) ),
inference(subst,[],[refute_0_36:[bind(D,$fot(s2))]]) ).
cnf(refute_0_38,plain,
s(truck1,s2,s2,truck1,truck1,p0_1,s2,s1),
inference(resolve,[$cnf( link(s0,s2) )],[map16,refute_0_37]) ).
cnf(refute_0_39,plain,
s(s2,s2,s2,truck1,truck1,p0_1,s2,s1),
inference(resolve,[$cnf( s(truck1,s2,s2,truck1,truck1,p0_1,s2,s1) )],[refute_0_38,refute_0_7]) ).
cnf(refute_0_40,plain,
s(s2,s2,truck1,truck1,truck1,p0_1,s2,s1),
inference(resolve,[$cnf( s(s2,s2,s2,truck1,truck1,p0_1,s2,s1) )],[refute_0_39,refute_0_6]) ).
cnf(refute_0_41,plain,
s(s2,s2,truck1,s2,truck1,p0_1,s2,s1),
inference(resolve,[$cnf( s(s2,s2,truck1,truck1,truck1,p0_1,s2,s1) )],[refute_0_40,refute_0_5]) ).
cnf(refute_0_42,plain,
( ~ link(s2,D)
| s(s2,s2,truck1,s2,truck1,p0_1,D,s1) ),
inference(resolve,[$cnf( s(s2,s2,truck1,s2,truck1,p0_1,s2,s1) )],[refute_0_41,refute_0_4]) ).
cnf(refute_0_43,plain,
( ~ link(s2,s0)
| s(s2,s2,truck1,s2,truck1,p0_1,s0,s1) ),
inference(subst,[],[refute_0_42:[bind(D,$fot(s0))]]) ).
cnf(refute_0_44,plain,
s(s2,s2,truck1,s2,truck1,p0_1,s0,s1),
inference(resolve,[$cnf( link(s2,s0) )],[map15,refute_0_43]) ).
cnf(refute_0_45,plain,
s(s2,s2,truck1,s2,s0,p0_1,s0,s1),
inference(resolve,[$cnf( s(s2,s2,truck1,s2,truck1,p0_1,s0,s1) )],[refute_0_44,refute_0_3]) ).
cnf(refute_0_46,plain,
( ~ path(s0,D)
| s(s2,s2,truck1,s2,D,p0_1,s0,s1) ),
inference(resolve,[$cnf( s(s2,s2,truck1,s2,s0,p0_1,s0,s1) )],[refute_0_45,refute_0_2]) ).
cnf(refute_0_47,plain,
( ~ path(s0,p0_1)
| s(s2,s2,truck1,s2,p0_1,p0_1,s0,s1) ),
inference(subst,[],[refute_0_46:[bind(D,$fot(p0_1))]]) ).
cnf(refute_0_48,plain,
s(s2,s2,truck1,s2,p0_1,p0_1,s0,s1),
inference(resolve,[$cnf( path(s0,p0_1) )],[map1,refute_0_47]) ).
cnf(refute_0_49,plain,
( ~ path(p0_1,D)
| s(s2,s2,truck1,s2,D,p0_1,s0,s1) ),
inference(resolve,[$cnf( s(s2,s2,truck1,s2,p0_1,p0_1,s0,s1) )],[refute_0_48,refute_0_1]) ).
cnf(refute_0_50,plain,
( ~ path(p0_1,s1)
| s(s2,s2,truck1,s2,s1,p0_1,s0,s1) ),
inference(subst,[],[refute_0_49:[bind(D,$fot(s1))]]) ).
cnf(refute_0_51,plain,
s(s2,s2,truck1,s2,s1,p0_1,s0,s1),
inference(resolve,[$cnf( path(p0_1,s1) )],[map4,refute_0_50]) ).
cnf(refute_0_52,plain,
s(s2,s2,s0,s2,s1,p0_1,s0,s1),
inference(resolve,[$cnf( s(s2,s2,truck1,s2,s1,p0_1,s0,s1) )],[refute_0_51,refute_0_0]) ).
cnf(refute_0_53,plain,
~ s(s2,s2,s0,s2,s1,p0_1,s0,s1),
inference(subst,[],[goal:[bind(X6,$fot(p0_1)),bind(X8,$fot(s1))]]) ).
cnf(refute_0_54,plain,
$false,
inference(resolve,[$cnf( s(s2,s2,s0,s2,s1,p0_1,s0,s1) )],[refute_0_52,refute_0_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PLA031-1.003 : TPTP v8.1.0. Released v3.5.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue May 31 20:45:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 209.79/210.00 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 209.79/210.00
% 209.79/210.00 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 209.79/210.00
%------------------------------------------------------------------------------