%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : KRS004-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 07:45:53 AM UTC 2026
% Result : Unsatisfiable 0.14s 15.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause_2,axiom,
! [VAR_0] :
( ~ c(VAR_0)
| d(VAR_0) ),
file('theBenchmark.p',clause_2) ).
cnf(c_1,plain,
( ~ c(A)
| d(A) ),
inference(clausify,[status(thm)],[clause_2]) ).
fof(clause_1,axiom,
c(exist),
file('theBenchmark.p',clause_1) ).
cnf(c_2,plain,
c(exist),
inference(clausify,[status(thm)],[clause_1]) ).
fof(clause_3,axiom,
! [VAR_0] :
( ~ d(VAR_0)
| ~ c(VAR_0) ),
file('theBenchmark.p',clause_3) ).
cnf(c_3,plain,
( ~ d(A)
| ~ c(A) ),
inference(clausify,[status(thm)],[clause_3]) ).
cnf(c_5,plain,
d(exist),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_6,plain,
~ d(exist),
inference(resolve,[status(thm)],[c_3,c_2]) ).
cnf(c_7,plain,
$false,
inference(resolve,[status(thm)],[c_5,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS004-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/15.38 % Computer : n014.cluster.edu
% 0.09/15.38 % Model : x86_64 x86_64
% 0.09/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.38 % Memory : 8046.5625MB
% 0.09/15.38 % OS : Linux 6.8.0-71-generic
% 0.09/15.39 % CPULimit : 300
% 0.09/15.39 % WCLimit : 300
% 0.09/15.39 % DateTime : Fri Sep 25 19:32:03 UTC 2026
% 0.09/15.39 % CPUTime :
% 0.09/15.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/15.39 % Process 907941 was started by sandbox on n014,
% 0.09/15.39 % Fri Sep 25 19:32:03 2026
% 0.09/15.39 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/15.39
% 0.09/15.39 % From the command line: assign(max_seconds, 300).
% 0.14/15.40
% 0.14/15.40 % SZS status Unsatisfiable for theBenchmark
% 0.14/15.40
% 0.14/15.40 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.14/15.40 % Length of proof is 6.
% 0.14/15.40 % Level of proof is 2.
% 0.14/15.40 % Maximum clause weight is 0.000.
% 0.14/15.40 % Given clauses 0.
% 0.14/15.40
% 0.14/15.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------