%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PLA031-1.002 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 17:26:21 EDT 2022
% Result : Unsatisfiable 4.88s 5.07s
% Output : CNFRefutation 4.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 20
% Syntax : Number of clauses : 63 ( 25 unt; 0 nHn; 63 RR)
% Number of literals : 110 ( 0 equ; 49 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-7 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 87 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(load1,axiom,
( ~ s(L,O2,O3,D1,D2,L,T2)
| s(truck1,O2,O3,D1,D2,L,T2) ) ).
cnf(load2,axiom,
( s(L,O2,O3,D1,D2,L,T2)
| ~ s(truck1,O2,O3,D1,D2,L,T2) ) ).
cnf(load3,axiom,
( ~ s(L,O2,O3,D1,D2,T1,L)
| s(truck2,O2,O3,D1,D2,T1,L) ) ).
cnf(load4,axiom,
( s(L,O2,O3,D1,D2,T1,L)
| ~ s(truck2,O2,O3,D1,D2,T1,L) ) ).
cnf(load5,axiom,
( ~ s(O1,L,O3,D1,D2,L,T2)
| s(O1,truck1,O3,D1,D2,L,T2) ) ).
cnf(load6,axiom,
( s(O1,L,O3,D1,D2,L,T2)
| ~ s(O1,truck1,O3,D1,D2,L,T2) ) ).
cnf(load9,axiom,
( ~ s(O1,O2,L,D1,D2,L,T2)
| s(O1,O2,truck1,D1,D2,L,T2) ) ).
cnf(load10,axiom,
( s(O1,O2,L,D1,D2,L,T2)
| ~ s(O1,O2,truck1,D1,D2,L,T2) ) ).
cnf(board1,axiom,
( ~ s(O1,O2,O3,L,D2,L,T2)
| ~ neq(D2,truck1)
| s(O1,O2,O3,truck1,D2,L,T2) ) ).
cnf(board2,axiom,
( s(O1,O2,O3,L,D2,L,T2)
| ~ s(O1,O2,O3,truck1,D2,L,T2) ) ).
cnf(drive1,axiom,
( ~ s(O1,O2,O3,truck1,D2,S,T2)
| ~ link(S,D)
| s(O1,O2,O3,truck1,D2,D,T2) ) ).
cnf(walk1,axiom,
( ~ s(O1,O2,O3,S,D2,T1,T2)
| ~ path(S,D)
| s(O1,O2,O3,D,D2,T1,T2) ) ).
cnf(neq22,axiom,
neq(s1,truck1) ).
cnf(map6,axiom,
path(p2_1,s2) ).
cnf(map7,axiom,
path(s1,p2_1) ).
cnf(map10,axiom,
link(s1,s0) ).
cnf(map12,axiom,
link(s2,s1) ).
cnf(map14,axiom,
link(s0,s2) ).
cnf(init,axiom,
s(s1,s1,s1,s1,s1,s2,s0) ).
cnf(goal,negated_conjecture,
~ s(s0,s0,s2,s2,X5,s2,X7) ).
cnf(refute_0_0,plain,
( ~ s(s0,s0,truck1,s2,s1,s2,s0)
| s(s0,s0,s2,s2,s1,s2,s0) ),
inference(subst,[],[load10:[bind(D1,$fot(s2)),bind(D2,$fot(s1)),bind(L,$fot(s2)),bind(O1,$fot(s0)),bind(O2,$fot(s0)),bind(T2,$fot(s0))]]) ).
cnf(refute_0_1,plain,
( ~ s(truck2,s0,truck1,s2,s1,s2,s0)
| s(s0,s0,truck1,s2,s1,s2,s0) ),
inference(subst,[],[load4:[bind(D1,$fot(s2)),bind(D2,$fot(s1)),bind(L,$fot(s0)),bind(O2,$fot(s0)),bind(O3,$fot(truck1)),bind(T1,$fot(s2))]]) ).
cnf(refute_0_2,plain,
( ~ s(truck2,s0,truck1,truck1,s1,s2,s0)
| s(truck2,s0,truck1,s2,s1,s2,s0) ),
inference(subst,[],[board2:[bind(D2,$fot(s1)),bind(L,$fot(s2)),bind(O1,$fot(truck2)),bind(O2,$fot(s0)),bind(O3,$fot(truck1)),bind(T2,$fot(s0))]]) ).
cnf(refute_0_3,plain,
( ~ link(s0,D)
| ~ s(truck2,s0,truck1,truck1,s1,s0,s0)
| s(truck2,s0,truck1,truck1,s1,D,s0) ),
inference(subst,[],[drive1:[bind(D2,$fot(s1)),bind(O1,$fot(truck2)),bind(O2,$fot(s0)),bind(O3,$fot(truck1)),bind(S,$fot(s0)),bind(T2,$fot(s0))]]) ).
cnf(refute_0_4,plain,
( ~ s(truck2,truck1,truck1,truck1,s1,s0,s0)
| s(truck2,s0,truck1,truck1,s1,s0,s0) ),
inference(subst,[],[load6:[bind(D1,$fot(truck1)),bind(D2,$fot(s1)),bind(L,$fot(s0)),bind(O1,$fot(truck2)),bind(O3,$fot(truck1)),bind(T2,$fot(s0))]]) ).
cnf(refute_0_5,plain,
( ~ s(s0,truck1,truck1,truck1,s1,s0,s0)
| s(truck2,truck1,truck1,truck1,s1,s0,s0) ),
inference(subst,[],[load3:[bind(D1,$fot(truck1)),bind(D2,$fot(s1)),bind(L,$fot(s0)),bind(O2,$fot(truck1)),bind(O3,$fot(truck1)),bind(T1,$fot(s0))]]) ).
cnf(refute_0_6,plain,
( ~ s(truck1,truck1,truck1,truck1,s1,s0,s0)
| s(s0,truck1,truck1,truck1,s1,s0,s0) ),
inference(subst,[],[load2:[bind(D1,$fot(truck1)),bind(D2,$fot(s1)),bind(L,$fot(s0)),bind(O2,$fot(truck1)),bind(O3,$fot(truck1)),bind(T2,$fot(s0))]]) ).
cnf(refute_0_7,plain,
( ~ link(s1,D)
| ~ s(truck1,truck1,truck1,truck1,s1,s1,s0)
| s(truck1,truck1,truck1,truck1,s1,D,s0) ),
inference(subst,[],[drive1:[bind(D2,$fot(s1)),bind(O1,$fot(truck1)),bind(O2,$fot(truck1)),bind(O3,$fot(truck1)),bind(S,$fot(s1)),bind(T2,$fot(s0))]]) ).
cnf(refute_0_8,plain,
( ~ s(truck1,truck1,s1,truck1,s1,s1,s0)
| s(truck1,truck1,truck1,truck1,s1,s1,s0) ),
inference(subst,[],[load9:[bind(D1,$fot(truck1)),bind(D2,$fot(s1)),bind(L,$fot(s1)),bind(O1,$fot(truck1)),bind(O2,$fot(truck1)),bind(T2,$fot(s0))]]) ).
cnf(refute_0_9,plain,
( ~ s(truck1,s1,s1,truck1,s1,s1,s0)
| s(truck1,truck1,s1,truck1,s1,s1,s0) ),
inference(subst,[],[load5:[bind(D1,$fot(truck1)),bind(D2,$fot(s1)),bind(L,$fot(s1)),bind(O1,$fot(truck1)),bind(O3,$fot(s1)),bind(T2,$fot(s0))]]) ).
cnf(refute_0_10,plain,
( ~ s(s1,s1,s1,truck1,s1,s1,s0)
| s(truck1,s1,s1,truck1,s1,s1,s0) ),
inference(subst,[],[load1:[bind(D1,$fot(truck1)),bind(D2,$fot(s1)),bind(L,$fot(s1)),bind(O2,$fot(s1)),bind(O3,$fot(s1)),bind(T2,$fot(s0))]]) ).
cnf(refute_0_11,plain,
( ~ link(s2,D)
| ~ s(s1,s1,s1,truck1,s1,s2,s0)
| s(s1,s1,s1,truck1,s1,D,s0) ),
inference(subst,[],[drive1:[bind(D2,$fot(s1)),bind(O1,$fot(s1)),bind(O2,$fot(s1)),bind(O3,$fot(s1)),bind(S,$fot(s2)),bind(T2,$fot(s0))]]) ).
cnf(refute_0_12,plain,
( ~ neq(s1,truck1)
| ~ s(s1,s1,s1,s2,s1,s2,s0)
| s(s1,s1,s1,truck1,s1,s2,s0) ),
inference(subst,[],[board1:[bind(D2,$fot(s1)),bind(L,$fot(s2)),bind(O1,$fot(s1)),bind(O2,$fot(s1)),bind(O3,$fot(s1)),bind(T2,$fot(s0))]]) ).
cnf(refute_0_13,plain,
( ~ path(p2_1,D)
| ~ s(s1,s1,s1,p2_1,s1,s2,s0)
| s(s1,s1,s1,D,s1,s2,s0) ),
inference(subst,[],[walk1:[bind(D2,$fot(s1)),bind(O1,$fot(s1)),bind(O2,$fot(s1)),bind(O3,$fot(s1)),bind(S,$fot(p2_1)),bind(T1,$fot(s2)),bind(T2,$fot(s0))]]) ).
cnf(refute_0_14,plain,
( ~ path(s1,X_150)
| ~ s(s1,s1,s1,s1,s1,s2,s0)
| s(s1,s1,s1,X_150,s1,s2,s0) ),
inference(subst,[],[walk1:[bind(D,$fot(X_150)),bind(D2,$fot(s1)),bind(O1,$fot(s1)),bind(O2,$fot(s1)),bind(O3,$fot(s1)),bind(S,$fot(s1)),bind(T1,$fot(s2)),bind(T2,$fot(s0))]]) ).
cnf(refute_0_15,plain,
( ~ path(s1,X_150)
| s(s1,s1,s1,X_150,s1,s2,s0) ),
inference(resolve,[$cnf( s(s1,s1,s1,s1,s1,s2,s0) )],[init,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ path(s1,p2_1)
| s(s1,s1,s1,p2_1,s1,s2,s0) ),
inference(subst,[],[refute_0_15:[bind(X_150,$fot(p2_1))]]) ).
cnf(refute_0_17,plain,
s(s1,s1,s1,p2_1,s1,s2,s0),
inference(resolve,[$cnf( path(s1,p2_1) )],[map7,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ path(p2_1,D)
| s(s1,s1,s1,D,s1,s2,s0) ),
inference(resolve,[$cnf( s(s1,s1,s1,p2_1,s1,s2,s0) )],[refute_0_17,refute_0_13]) ).
cnf(refute_0_19,plain,
( ~ path(p2_1,s2)
| s(s1,s1,s1,s2,s1,s2,s0) ),
inference(subst,[],[refute_0_18:[bind(D,$fot(s2))]]) ).
cnf(refute_0_20,plain,
s(s1,s1,s1,s2,s1,s2,s0),
inference(resolve,[$cnf( path(p2_1,s2) )],[map6,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ neq(s1,truck1)
| s(s1,s1,s1,truck1,s1,s2,s0) ),
inference(resolve,[$cnf( s(s1,s1,s1,s2,s1,s2,s0) )],[refute_0_20,refute_0_12]) ).
cnf(refute_0_22,plain,
s(s1,s1,s1,truck1,s1,s2,s0),
inference(resolve,[$cnf( neq(s1,truck1) )],[neq22,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ link(s2,D)
| s(s1,s1,s1,truck1,s1,D,s0) ),
inference(resolve,[$cnf( s(s1,s1,s1,truck1,s1,s2,s0) )],[refute_0_22,refute_0_11]) ).
cnf(refute_0_24,plain,
( ~ link(s2,s1)
| s(s1,s1,s1,truck1,s1,s1,s0) ),
inference(subst,[],[refute_0_23:[bind(D,$fot(s1))]]) ).
cnf(refute_0_25,plain,
s(s1,s1,s1,truck1,s1,s1,s0),
inference(resolve,[$cnf( link(s2,s1) )],[map12,refute_0_24]) ).
cnf(refute_0_26,plain,
s(truck1,s1,s1,truck1,s1,s1,s0),
inference(resolve,[$cnf( s(s1,s1,s1,truck1,s1,s1,s0) )],[refute_0_25,refute_0_10]) ).
cnf(refute_0_27,plain,
s(truck1,truck1,s1,truck1,s1,s1,s0),
inference(resolve,[$cnf( s(truck1,s1,s1,truck1,s1,s1,s0) )],[refute_0_26,refute_0_9]) ).
cnf(refute_0_28,plain,
s(truck1,truck1,truck1,truck1,s1,s1,s0),
inference(resolve,[$cnf( s(truck1,truck1,s1,truck1,s1,s1,s0) )],[refute_0_27,refute_0_8]) ).
cnf(refute_0_29,plain,
( ~ link(s1,D)
| s(truck1,truck1,truck1,truck1,s1,D,s0) ),
inference(resolve,[$cnf( s(truck1,truck1,truck1,truck1,s1,s1,s0) )],[refute_0_28,refute_0_7]) ).
cnf(refute_0_30,plain,
( ~ link(s1,s0)
| s(truck1,truck1,truck1,truck1,s1,s0,s0) ),
inference(subst,[],[refute_0_29:[bind(D,$fot(s0))]]) ).
cnf(refute_0_31,plain,
s(truck1,truck1,truck1,truck1,s1,s0,s0),
inference(resolve,[$cnf( link(s1,s0) )],[map10,refute_0_30]) ).
cnf(refute_0_32,plain,
s(s0,truck1,truck1,truck1,s1,s0,s0),
inference(resolve,[$cnf( s(truck1,truck1,truck1,truck1,s1,s0,s0) )],[refute_0_31,refute_0_6]) ).
cnf(refute_0_33,plain,
s(truck2,truck1,truck1,truck1,s1,s0,s0),
inference(resolve,[$cnf( s(s0,truck1,truck1,truck1,s1,s0,s0) )],[refute_0_32,refute_0_5]) ).
cnf(refute_0_34,plain,
s(truck2,s0,truck1,truck1,s1,s0,s0),
inference(resolve,[$cnf( s(truck2,truck1,truck1,truck1,s1,s0,s0) )],[refute_0_33,refute_0_4]) ).
cnf(refute_0_35,plain,
( ~ link(s0,D)
| s(truck2,s0,truck1,truck1,s1,D,s0) ),
inference(resolve,[$cnf( s(truck2,s0,truck1,truck1,s1,s0,s0) )],[refute_0_34,refute_0_3]) ).
cnf(refute_0_36,plain,
( ~ link(s0,s2)
| s(truck2,s0,truck1,truck1,s1,s2,s0) ),
inference(subst,[],[refute_0_35:[bind(D,$fot(s2))]]) ).
cnf(refute_0_37,plain,
s(truck2,s0,truck1,truck1,s1,s2,s0),
inference(resolve,[$cnf( link(s0,s2) )],[map14,refute_0_36]) ).
cnf(refute_0_38,plain,
s(truck2,s0,truck1,s2,s1,s2,s0),
inference(resolve,[$cnf( s(truck2,s0,truck1,truck1,s1,s2,s0) )],[refute_0_37,refute_0_2]) ).
cnf(refute_0_39,plain,
s(s0,s0,truck1,s2,s1,s2,s0),
inference(resolve,[$cnf( s(truck2,s0,truck1,s2,s1,s2,s0) )],[refute_0_38,refute_0_1]) ).
cnf(refute_0_40,plain,
s(s0,s0,s2,s2,s1,s2,s0),
inference(resolve,[$cnf( s(s0,s0,truck1,s2,s1,s2,s0) )],[refute_0_39,refute_0_0]) ).
cnf(refute_0_41,plain,
~ s(s0,s0,s2,s2,s1,s2,s0),
inference(subst,[],[goal:[bind(X5,$fot(s1)),bind(X7,$fot(s0))]]) ).
cnf(refute_0_42,plain,
$false,
inference(resolve,[$cnf( s(s0,s0,s2,s2,s1,s2,s0) )],[refute_0_40,refute_0_41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : PLA031-1.002 : TPTP v8.1.0. Released v3.5.0.
% 0.10/0.11 % Command : metis --show proof --show saturation %s
% 0.11/0.32 % Computer : n029.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Tue May 31 23:23:15 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 4.88/5.07 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.88/5.07
% 4.88/5.07 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.88/5.08
%------------------------------------------------------------------------------