%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN000+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/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 09:36:12 AM UTC 2026
% Result : Theorem 0.09s 10.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 6 unt; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 3 ( 1 sgn 0 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(role_conjecture,conjecture,
? [X] : p(X),
file('theBenchmark.p',role_conjecture) ).
fof(role_conjecture_neg,negated_conjecture,
~ ? [X] : p(X),
inference(assume_negation,[status(cth)],[role_conjecture]) ).
fof(role_hypothesis,axiom,
p(h),
file('theBenchmark.p',role_hypothesis) ).
cnf(c_8,plain,
p(h),
inference(clausify,[status(thm)],[role_hypothesis]) ).
cnf(c_9,negated_conjecture,
~ p(A),
inference(clausify,[status(thm)],[role_conjecture_neg]) ).
cnf(c_18,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_8,c_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN000+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/10.37 % Computer : n006.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Sat Sep 26 17:02:21 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/10.38 % Process 1732531 was started by sandbox2 on n006,
% 0.09/10.38 % Sat Sep 26 17:02:21 2026
% 0.09/10.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/10.38
% 0.09/10.38 % From the command line: assign(max_seconds, 300).
% 0.09/10.40
% 0.09/10.40 % SZS status Theorem for theBenchmark
% 0.09/10.40
% 0.09/10.40 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.09/10.40 % Length of proof is 4.
% 0.09/10.40 % Level of proof is 2.
% 0.09/10.40 % Maximum clause weight is 0.000.
% 0.09/10.40 % Given clauses 0.
% 0.09/10.40
% 0.09/10.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------