%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : PUZ033-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 08:23:10 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.37s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 15 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 91 ( 45 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 12 ( 11 usr; 12 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(c1,axiom,
( sunshine
| ~ wind_in_east ),
file('theBenchmark.p',c1) ).
cnf(c_1,plain,
( sunshine
| ~ wind_in_east ),
inference(clausify,[status(thm)],[c1]) ).
fof(c2,axiom,
( neighbor_practices_flute
| ~ foggy
| ~ cold ),
file('theBenchmark.p',c2) ).
cnf(c_2,plain,
( neighbor_practices_flute
| ~ foggy
| ~ cold ),
inference(clausify,[status(thm)],[c2]) ).
fof(c3,axiom,
( door_is_open
| ~ fire_smokes ),
file('theBenchmark.p',c3) ).
cnf(c_3,plain,
( door_is_open
| ~ fire_smokes ),
inference(clausify,[status(thm)],[c3]) ).
fof(c4,axiom,
( fire_is_lit
| ~ i_feel_rheumatic
| ~ cold ),
file('theBenchmark.p',c4) ).
cnf(c_4,plain,
( fire_is_lit
| ~ i_feel_rheumatic
| ~ cold ),
inference(clausify,[status(thm)],[c4]) ).
fof(c5,axiom,
( fire_smokes
| ~ wind_in_gusts
| ~ wind_in_east ),
file('theBenchmark.p',c5) ).
cnf(c_5,plain,
( fire_smokes
| ~ wind_in_gusts
| ~ wind_in_east ),
inference(clausify,[status(thm)],[c5]) ).
fof(c7,axiom,
( window_is_shut
| ~ foggy
| cold
| ~ sunshine ),
file('theBenchmark.p',c7) ).
cnf(c_7,plain,
( window_is_shut
| ~ foggy
| cold
| ~ sunshine ),
inference(clausify,[status(thm)],[c7]) ).
fof(c8,axiom,
( ~ i_feel_rheumatic
| door_is_open
| ~ fire_is_lit
| wind_in_gusts ),
file('theBenchmark.p',c8) ).
cnf(c_8,plain,
( ~ i_feel_rheumatic
| door_is_open
| ~ fire_is_lit
| wind_in_gusts ),
inference(clausify,[status(thm)],[c8]) ).
fof(c9,axiom,
( foggy
| ~ sunshine ),
file('theBenchmark.p',c9) ).
cnf(c_9,plain,
( foggy
| ~ sunshine ),
inference(clausify,[status(thm)],[c9]) ).
fof(c10,axiom,
( ~ door_is_open
| ~ neighbor_practices_flute ),
file('theBenchmark.p',c10) ).
cnf(c_10,plain,
( ~ door_is_open
| ~ neighbor_practices_flute ),
inference(clausify,[status(thm)],[c10]) ).
fof(c11,axiom,
( i_feel_rheumatic
| ~ wind_in_east
| ~ foggy ),
file('theBenchmark.p',c11) ).
cnf(c_11,plain,
( i_feel_rheumatic
| ~ wind_in_east
| ~ foggy ),
inference(clausify,[status(thm)],[c11]) ).
fof(c12,axiom,
wind_in_east,
file('theBenchmark.p',c12) ).
cnf(c_12,plain,
wind_in_east,
inference(clausify,[status(thm)],[c12]) ).
fof(prove_window_is_shut,axiom,
~ window_is_shut,
file('theBenchmark.p',prove_window_is_shut) ).
cnf(c_13,plain,
~ window_is_shut,
inference(clausify,[status(thm)],[prove_window_is_shut]) ).
cnf(c_14,plain,
( i_feel_rheumatic
| ~ foggy ),
inference(resolve,[status(thm)],[c_12,c_11]) ).
cnf(c_15,plain,
( fire_smokes
| ~ wind_in_gusts ),
inference(resolve,[status(thm)],[c_12,c_5]) ).
cnf(c_16,plain,
sunshine,
inference(resolve,[status(thm)],[c_12,c_1]) ).
cnf(c_28,plain,
( window_is_shut
| ~ foggy
| cold ),
inference(resolve,[status(thm)],[c_16,c_7]) ).
cnf(c_17,plain,
( ~ foggy
| cold ),
inference(resolve,[status(thm)],[c_13,c_28]) ).
cnf(c_18,plain,
foggy,
inference(resolve,[status(thm)],[c_16,c_9]) ).
cnf(c_19,plain,
cold,
inference(resolve,[status(thm)],[c_18,c_17]) ).
cnf(c_20,plain,
i_feel_rheumatic,
inference(resolve,[status(thm)],[c_18,c_14]) ).
cnf(c_29,plain,
( neighbor_practices_flute
| ~ foggy ),
inference(resolve,[status(thm)],[c_19,c_2]) ).
cnf(c_21,plain,
neighbor_practices_flute,
inference(resolve,[status(thm)],[c_18,c_29]) ).
cnf(c_30,plain,
( fire_is_lit
| ~ i_feel_rheumatic ),
inference(resolve,[status(thm)],[c_19,c_4]) ).
cnf(c_22,plain,
fire_is_lit,
inference(resolve,[status(thm)],[c_20,c_30]) ).
cnf(c_31,plain,
( ~ i_feel_rheumatic
| door_is_open
| wind_in_gusts ),
inference(resolve,[status(thm)],[c_22,c_8]) ).
cnf(c_23,plain,
( door_is_open
| wind_in_gusts ),
inference(resolve,[status(thm)],[c_20,c_31]) ).
cnf(c_24,plain,
~ door_is_open,
inference(resolve,[status(thm)],[c_21,c_10]) ).
cnf(c_25,plain,
wind_in_gusts,
inference(resolve,[status(thm)],[c_24,c_23]) ).
cnf(c_26,plain,
~ fire_smokes,
inference(resolve,[status(thm)],[c_24,c_3]) ).
cnf(c_32,plain,
fire_smokes,
inference(resolve,[status(thm)],[c_25,c_15]) ).
cnf(c_27,plain,
$false,
inference(resolve,[status(thm)],[c_26,c_32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ033-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 05:11:15 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 39952 was started by sandbox2 on n016,
% 0.08/0.36 % Sat Sep 26 05:11:15 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/0.36
% 0.08/0.36 % From the command line: assign(max_seconds, 300).
% 0.08/0.37
% 0.08/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.37
% 0.08/0.37 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.08/0.37 % Length of proof is 26.
% 0.08/0.37 % Level of proof is 7.
% 0.08/0.37 % Maximum clause weight is 4.000.
% 0.08/0.37 % Given clauses 0.
% 0.08/0.37
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------