%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : PLA031-1.002 : TPTP v9.3.1. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:20:25 AM UTC 2026
% Result : Unsatisfiable 2.83s 0.99s
% Output : CNFRefutation 2.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 56 ( 30 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 71 ( 39 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-7 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 167 ( 7 sgn 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(board3,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( s(VAR_0,VAR_1,VAR_2,truck2,VAR_4,VAR_5,VAR_3)
| ~ neq(VAR_4,truck2)
| ~ s(VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_3) ),
file('theBenchmark.p',board3) ).
cnf(c_5,plain,
( s(A,B,C,truck2,E,F,D)
| ~ neq(E,truck2)
| ~ s(A,B,C,D,E,F,D) ),
inference(clausify,[status(thm)],[board3]) ).
fof(neq23,axiom,
neq(s1,truck2),
file('theBenchmark.p',neq23) ).
cnf(c_27,plain,
neq(s1,truck2),
inference(clausify,[status(thm)],[neq23]) ).
fof(map9,axiom,
link(s0,s1),
file('theBenchmark.p',map9) ).
cnf(c_55,plain,
link(s0,s1),
inference(clausify,[status(thm)],[map9]) ).
fof(map10,axiom,
link(s1,s0),
file('theBenchmark.p',map10) ).
cnf(c_56,plain,
link(s1,s0),
inference(clausify,[status(thm)],[map10]) ).
fof(map14,axiom,
link(s0,s2),
file('theBenchmark.p',map14) ).
cnf(c_60,plain,
link(s0,s2),
inference(clausify,[status(thm)],[map14]) ).
fof(drive2,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6] :
( s(VAR_0,VAR_1,VAR_2,truck2,VAR_3,VAR_4,VAR_6)
| ~ link(VAR_5,VAR_6)
| ~ s(VAR_0,VAR_1,VAR_2,truck2,VAR_3,VAR_4,VAR_5) ),
file('theBenchmark.p',drive2) ).
cnf(c_62,plain,
( s(A,B,C,truck2,D,E,V6)
| ~ link(F,V6)
| ~ s(A,B,C,truck2,D,E,F) ),
inference(clausify,[status(thm)],[drive2]) ).
fof(map1,axiom,
path(s1,p1_0),
file('theBenchmark.p',map1) ).
cnf(c_64,plain,
path(s1,p1_0),
inference(clausify,[status(thm)],[map1]) ).
fof(walk1,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7] :
( s(VAR_0,VAR_1,VAR_2,VAR_7,VAR_4,VAR_5,VAR_6)
| ~ path(VAR_3,VAR_7)
| ~ s(VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6) ),
file('theBenchmark.p',walk1) ).
cnf(c_66,plain,
( s(A,B,C,V7,E,F,V6)
| ~ path(D,V7)
| ~ s(A,B,C,D,E,F,V6) ),
inference(clausify,[status(thm)],[walk1]) ).
fof(map4,axiom,
path(p1_0,s0),
file('theBenchmark.p',map4) ).
cnf(c_69,plain,
path(p1_0,s0),
inference(clausify,[status(thm)],[map4]) ).
cnf(c_82,plain,
( s(A,B,C,s0,D,E,F)
| ~ s(A,B,C,p1_0,D,E,F) ),
inference(resolve,[status(thm)],[c_69,c_66]) ).
cnf(c_88,plain,
( s(A,B,C,p1_0,D,E,F)
| ~ s(A,B,C,s1,D,E,F) ),
inference(resolve,[status(thm)],[c_64,c_66]) ).
cnf(c_102,plain,
( s(A,B,C,truck2,s1,E,D)
| ~ s(A,B,C,D,s1,E,D) ),
inference(resolve,[status(thm)],[c_27,c_5]) ).
fof(goal,axiom,
! [VAR_0,VAR_1] : ~ s(s0,s0,s2,s2,VAR_0,s2,VAR_1),
file('theBenchmark.p',goal) ).
cnf(c_114,plain,
~ s(s0,s0,s2,s2,A,s2,B),
inference(clausify,[status(thm)],[goal]) ).
fof(init,axiom,
s(s1,s1,s1,s1,s1,s2,s0),
file('theBenchmark.p',init) ).
cnf(c_115,plain,
s(s1,s1,s1,s1,s1,s2,s0),
inference(clausify,[status(thm)],[init]) ).
fof(board4,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( ~ s(VAR_0,VAR_1,VAR_2,truck2,VAR_4,VAR_5,VAR_3)
| s(VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_3) ),
file('theBenchmark.p',board4) ).
cnf(c_118,plain,
( ~ s(A,B,C,truck2,E,F,D)
| s(A,B,C,D,E,F,D) ),
inference(clausify,[status(thm)],[board4]) ).
fof(load12,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( ~ s(VAR_0,VAR_1,truck2,VAR_3,VAR_4,VAR_5,VAR_2)
| s(VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_2) ),
file('theBenchmark.p',load12) ).
cnf(c_120,plain,
( ~ s(A,B,truck2,D,E,F,C)
| s(A,B,C,D,E,F,C) ),
inference(clausify,[status(thm)],[load12]) ).
fof(load11,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( s(VAR_0,VAR_1,truck2,VAR_3,VAR_4,VAR_5,VAR_2)
| ~ s(VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_2) ),
file('theBenchmark.p',load11) ).
cnf(c_121,plain,
( s(A,B,truck2,D,E,F,C)
| ~ s(A,B,C,D,E,F,C) ),
inference(clausify,[status(thm)],[load11]) ).
fof(load8,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( ~ s(VAR_0,truck2,VAR_2,VAR_3,VAR_4,VAR_5,VAR_1)
| s(VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_1) ),
file('theBenchmark.p',load8) ).
cnf(c_124,plain,
( ~ s(A,truck2,C,D,E,F,B)
| s(A,B,C,D,E,F,B) ),
inference(clausify,[status(thm)],[load8]) ).
fof(load7,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( s(VAR_0,truck2,VAR_2,VAR_3,VAR_4,VAR_5,VAR_1)
| ~ s(VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_1) ),
file('theBenchmark.p',load7) ).
cnf(c_125,plain,
( s(A,truck2,C,D,E,F,B)
| ~ s(A,B,C,D,E,F,B) ),
inference(clausify,[status(thm)],[load7]) ).
fof(load4,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( ~ s(truck2,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_0)
| s(VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_0) ),
file('theBenchmark.p',load4) ).
cnf(c_128,plain,
( ~ s(truck2,B,C,D,E,F,A)
| s(A,B,C,D,E,F,A) ),
inference(clausify,[status(thm)],[load4]) ).
fof(load3,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( s(truck2,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_0)
| ~ s(VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_0) ),
file('theBenchmark.p',load3) ).
cnf(c_129,plain,
( s(truck2,B,C,D,E,F,A)
| ~ s(A,B,C,D,E,F,A) ),
inference(clausify,[status(thm)],[load3]) ).
cnf(c_144,plain,
( s(A,B,C,truck2,D,E,s1)
| ~ s(A,B,C,truck2,D,E,s0) ),
inference(resolve,[status(thm)],[c_62,c_55]) ).
cnf(c_145,plain,
( s(A,B,C,truck2,D,E,s0)
| ~ s(A,B,C,truck2,D,E,s1) ),
inference(resolve,[status(thm)],[c_62,c_56]) ).
cnf(c_149,plain,
( s(A,B,C,truck2,D,E,s2)
| ~ s(A,B,C,truck2,D,E,s0) ),
inference(resolve,[status(thm)],[c_62,c_60]) ).
cnf(c_158,plain,
s(s1,s1,s1,p1_0,s1,s2,s0),
inference(resolve,[status(thm)],[c_88,c_115]) ).
cnf(c_161,plain,
~ s(s0,s0,s2,truck2,A,s2,s2),
inference(resolve,[status(thm)],[c_118,c_114]) ).
cnf(c_182,plain,
~ s(s0,s0,truck2,truck2,A,s2,s2),
inference(resolve,[status(thm)],[c_161,c_120]) ).
cnf(c_202,plain,
s(s1,s1,s1,s0,s1,s2,s0),
inference(resolve,[status(thm)],[c_82,c_158]) ).
cnf(c_236,plain,
s(s1,s1,s1,truck2,s1,s2,s0),
inference(resolve,[status(thm)],[c_102,c_202]) ).
cnf(c_297,plain,
~ s(s0,s0,truck2,truck2,A,s2,s0),
inference(resolve,[status(thm)],[c_182,c_149]) ).
cnf(c_323,plain,
s(s1,s1,s1,truck2,s1,s2,s1),
inference(resolve,[status(thm)],[c_144,c_236]) ).
cnf(c_410,plain,
s(truck2,s1,s1,truck2,s1,s2,s1),
inference(resolve,[status(thm)],[c_129,c_323]) ).
cnf(c_588,plain,
s(truck2,truck2,s1,truck2,s1,s2,s1),
inference(resolve,[status(thm)],[c_125,c_410]) ).
cnf(c_717,plain,
~ s(truck2,s0,truck2,truck2,A,s2,s0),
inference(resolve,[status(thm)],[c_297,c_128]) ).
cnf(c_1119,plain,
s(truck2,truck2,truck2,truck2,s1,s2,s1),
inference(resolve,[status(thm)],[c_121,c_588]) ).
cnf(c_1995,plain,
~ s(truck2,truck2,truck2,truck2,A,s2,s0),
inference(resolve,[status(thm)],[c_717,c_124]) ).
cnf(c_2199,plain,
s(truck2,truck2,truck2,truck2,s1,s2,s0),
inference(resolve,[status(thm)],[c_145,c_1119]) ).
cnf(c_2200,plain,
$false,
inference(resolve,[status(thm)],[c_2199,c_1995]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA031-1.002 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.33 % Computer : n006.cluster.edu
% 0.06/0.33 % Model : x86_64 x86_64
% 0.06/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.33 % Memory : 8046.5625MB
% 0.06/0.33 % OS : Linux 6.8.0-71-generic
% 0.06/0.33 % CPULimit : 300
% 0.06/0.33 % WCLimit : 300
% 0.06/0.33 % DateTime : Sat Sep 26 04:45:10 UTC 2026
% 0.06/0.33 % CPUTime :
% 0.06/0.33 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.06/0.33 % Process 391512 was started by sandbox on n006,
% 0.06/0.33 % Sat Sep 26 04:45:10 2026
% 0.06/0.33 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.06/0.34
% 0.06/0.34 % From the command line: assign(max_seconds, 300).
% 2.83/0.99
% 2.83/0.99 % given #500 (F,wt=8): 492 -s(s0,s0,s2,s1,truck2,s0,truck1). [resolve(228,a,76,b)].
% 2.83/0.99
% 2.83/0.99 % SZS status Unsatisfiable for theBenchmark
% 2.83/0.99
% 2.83/0.99 % Proof 1 at 0.25 (+ 0.16) seconds.
% 2.83/0.99 % Length of proof is 38.
% 2.83/0.99 % Level of proof is 10.
% 2.83/0.99 % Maximum clause weight is 16.000.
% 2.83/0.99 % Given clauses 809.
% 2.83/0.99
% 2.83/0.99 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------