%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : PUZ036-1.005 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 08:23:11 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 14 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 13 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-20 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 120 ( 0 sgn 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(make_like_this,axiom,
~ state(p_1,p_2,p_3,p_4,p_5,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
file('theBenchmark.p',make_like_this) ).
cnf(c_1,plain,
~ state(p_1,p_2,p_3,p_4,p_5,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(clausify,[status(thm)],[make_like_this]) ).
fof(initial_configuration,axiom,
state(p_5,p_4,p_3,p_2,p_1,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
file('theBenchmark.p',initial_configuration) ).
cnf(c_2,plain,
state(p_5,p_4,p_3,p_2,p_1,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(clausify,[status(thm)],[initial_configuration]) ).
fof(move_left,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9,VAR_10,VAR_11,VAR_12,VAR_13,VAR_14,VAR_15,VAR_16,VAR_17,VAR_18,VAR_19] :
( state(VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9,VAR_10,VAR_11,VAR_12,VAR_13,VAR_14,VAR_15,VAR_16,VAR_17,VAR_18,VAR_19,VAR_0)
| ~ state(VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9,VAR_10,VAR_11,VAR_12,VAR_13,VAR_14,VAR_15,VAR_16,VAR_17,VAR_18,VAR_19) ),
file('theBenchmark.p',move_left) ).
cnf(c_3,plain,
( state(B,C,D,E,F,V6,V7,V8,V9,V10,V11,V12,V13,V14,V15,V16,V17,V18,V19,A)
| ~ state(A,B,C,D,E,F,V6,V7,V8,V9,V10,V11,V12,V13,V14,V15,V16,V17,V18,V19) ),
inference(clausify,[status(thm)],[move_left]) ).
fof(move_right,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9,VAR_10,VAR_11,VAR_12,VAR_13,VAR_14,VAR_15,VAR_16,VAR_17,VAR_18,VAR_19] :
( state(VAR_19,VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9,VAR_10,VAR_11,VAR_12,VAR_13,VAR_14,VAR_15,VAR_16,VAR_17,VAR_18)
| ~ state(VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9,VAR_10,VAR_11,VAR_12,VAR_13,VAR_14,VAR_15,VAR_16,VAR_17,VAR_18,VAR_19) ),
file('theBenchmark.p',move_right) ).
cnf(c_4,plain,
( state(V19,A,B,C,D,E,F,V6,V7,V8,V9,V10,V11,V12,V13,V14,V15,V16,V17,V18)
| ~ state(A,B,C,D,E,F,V6,V7,V8,V9,V10,V11,V12,V13,V14,V15,V16,V17,V18,V19) ),
inference(clausify,[status(thm)],[move_right]) ).
fof(flip,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9,VAR_10,VAR_11,VAR_12,VAR_13,VAR_14,VAR_15,VAR_16,VAR_17,VAR_18,VAR_19] :
( state(VAR_3,VAR_2,VAR_1,VAR_0,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9,VAR_10,VAR_11,VAR_12,VAR_13,VAR_14,VAR_15,VAR_16,VAR_17,VAR_18,VAR_19)
| ~ state(VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9,VAR_10,VAR_11,VAR_12,VAR_13,VAR_14,VAR_15,VAR_16,VAR_17,VAR_18,VAR_19) ),
file('theBenchmark.p',flip) ).
cnf(c_5,plain,
( state(D,C,B,A,E,F,V6,V7,V8,V9,V10,V11,V12,V13,V14,V15,V16,V17,V18,V19)
| ~ state(A,B,C,D,E,F,V6,V7,V8,V9,V10,V11,V12,V13,V14,V15,V16,V17,V18,V19) ),
inference(clausify,[status(thm)],[flip]) ).
cnf(c_10,plain,
~ state(p_4,p_3,p_2,p_1,p_5,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(resolve,[status(thm)],[c_5,c_1]) ).
cnf(c_11,plain,
state(p_2,p_3,p_4,p_5,p_1,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(resolve,[status(thm)],[c_5,c_2]) ).
cnf(c_18,plain,
~ state(p_3,p_2,p_1,p_5,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20,p_4),
inference(resolve,[status(thm)],[c_10,c_4]) ).
cnf(c_27,plain,
state(p_3,p_4,p_5,p_1,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20,p_2),
inference(resolve,[status(thm)],[c_3,c_11]) ).
cnf(c_36,plain,
~ state(p_5,p_1,p_2,p_3,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20,p_4),
inference(resolve,[status(thm)],[c_18,c_5]) ).
cnf(c_54,plain,
state(p_1,p_5,p_4,p_3,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20,p_2),
inference(resolve,[status(thm)],[c_5,c_27]) ).
cnf(c_81,plain,
~ state(p_4,p_5,p_1,p_2,p_3,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(resolve,[status(thm)],[c_36,c_3]) ).
cnf(c_100,plain,
state(p_2,p_1,p_5,p_4,p_3,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(resolve,[status(thm)],[c_4,c_54]) ).
cnf(c_163,plain,
~ state(p_2,p_1,p_5,p_4,p_3,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(resolve,[status(thm)],[c_81,c_5]) ).
cnf(c_162,plain,
$false,
inference(resolve,[status(thm)],[c_100,c_163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PUZ036-1.005 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n007.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sat Sep 26 05:04:39 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/0.46 % Process 2843569 was started by sandbox2 on n007,
% 0.19/0.46 % Sat Sep 26 05:04:39 2026
% 0.19/0.46 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.19/0.46
% 0.19/0.46 % From the command line: assign(max_seconds, 300).
% 0.19/0.49
% 0.19/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49
% 0.19/0.49 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.19/0.49 % Length of proof is 14.
% 0.19/0.49 % Level of proof is 5.
% 0.19/0.49 % Maximum clause weight is 47.000.
% 0.19/0.49 % Given clauses 81.
% 0.19/0.49
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------