%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MSC011+1 : TPTP v9.3.1. Released v3.2.0.
% 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 08:04:27 AM UTC 2026
% Result : Theorem 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 9 ~; 7 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 7 ( 2 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d_cons,axiom,
! [A] :
( ( not_drunk(A)
& drunk(A) )
=> goal ),
file('theBenchmark.p',d_cons) ).
fof(neg_phi,axiom,
! [A] :
( neg_psi
& drunk(A) ),
file('theBenchmark.p',neg_phi) ).
fof(neg_psi_ax,axiom,
( neg_psi
=> ? [A] : not_drunk(A) ),
file('theBenchmark.p',neg_psi_ax) ).
fof(goal_to_be_proved,conjecture,
goal,
file('theBenchmark.p',goal_to_be_proved) ).
fof(goal_to_be_proved_neg,negated_conjecture,
~ goal,
inference(assume_negation,[status(cth)],[goal_to_be_proved]) ).
cnf(c_5,plain,
drunk(A),
inference(clausify,[status(thm)],[neg_phi]) ).
cnf(c_6,plain,
( goal
| ~ not_drunk(A)
| ~ drunk(A) ),
inference(clausify,[status(thm)],[d_cons]) ).
fof(nnf_3,plain,
( ? [A] : not_drunk(A)
| ~ neg_psi ),
inference(fof_nnf,[status(thm)],[neg_psi_ax]) ).
fof(sk_neg_psi_ax,plain,
( not_drunk(sK0)
| ~ neg_psi ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(A,sK0)],[nnf_3]) ).
cnf(c_7,plain,
( not_drunk(sK0)
| ~ neg_psi ),
inference(split_conjunct,[status(thm)],[sk_neg_psi_ax]) ).
cnf(c_8,plain,
( goal
| ~ not_drunk(A) ),
inference(resolve,[status(thm)],[c_5,c_6]) ).
cnf(c_9,plain,
( goal
| ~ neg_psi ),
inference(resolve,[status(thm)],[c_7,c_8]) ).
cnf(c_10,plain,
neg_psi,
inference(clausify,[status(thm)],[neg_phi]) ).
cnf(c_11,negated_conjecture,
~ goal,
inference(clausify,[status(thm)],[goal_to_be_proved_neg]) ).
cnf(c_12,plain,
goal,
inference(resolve,[status(thm)],[c_9,c_10]) ).
cnf(c_13,plain,
$false,
inference(resolve,[status(thm)],[c_12,c_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC011+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 00:20:29 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 3658126 was started by sandbox2 on n016,
% 0.10/0.37 % Sat Sep 26 00:20:29 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.38
% 0.10/0.38 % From the command line: assign(max_seconds, 300).
% 0.10/0.39
% 0.10/0.39 % SZS status Theorem for theBenchmark
% 0.10/0.39
% 0.10/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.10/0.39 % Length of proof is 13.
% 0.10/0.39 % Level of proof is 5.
% 0.10/0.39 % Maximum clause weight is 2.000.
% 0.10/0.39 % Given clauses 2.
% 0.10/0.39
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------