%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : KRS093+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 07:46:01 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 8 ~; 5 |; 1 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ce3(X)
& cf(X) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cc(X)
=> ~ cd(X) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_6,axiom,
! [X] :
( ce3(X)
=> cc(X) ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X] :
( cf(X)
=> cd(X) ),
file('theBenchmark.p',axiom_7) ).
cnf(c_11,plain,
( ce3(A)
| ~ cUnsatisfiable(A) ),
inference(clausify,[status(thm)],[axiom_2]) ).
fof(axiom_8,axiom,
cUnsatisfiable(i2003_11_14_17_20_07201),
file('theBenchmark.p',axiom_8) ).
cnf(c_13,plain,
cUnsatisfiable(i2003_11_14_17_20_07201),
inference(clausify,[status(thm)],[axiom_8]) ).
cnf(c_14,plain,
( cf(A)
| ~ cUnsatisfiable(A) ),
inference(clausify,[status(thm)],[axiom_2]) ).
cnf(c_15,plain,
( cd(A)
| ~ cf(A) ),
inference(clausify,[status(thm)],[axiom_7]) ).
cnf(c_16,plain,
cf(i2003_11_14_17_20_07201),
inference(resolve,[status(thm)],[c_14,c_13]) ).
cnf(c_17,plain,
ce3(i2003_11_14_17_20_07201),
inference(resolve,[status(thm)],[c_11,c_13]) ).
cnf(c_18,plain,
( cc(A)
| ~ ce3(A) ),
inference(clausify,[status(thm)],[axiom_6]) ).
cnf(c_19,plain,
( ~ cd(A)
| ~ cc(A) ),
inference(clausify,[status(thm)],[axiom_3]) ).
cnf(c_20,plain,
cc(i2003_11_14_17_20_07201),
inference(resolve,[status(thm)],[c_17,c_18]) ).
cnf(c_21,plain,
cd(i2003_11_14_17_20_07201),
inference(resolve,[status(thm)],[c_15,c_16]) ).
cnf(c_22,plain,
~ cd(i2003_11_14_17_20_07201),
inference(resolve,[status(thm)],[c_19,c_20]) ).
cnf(c_23,plain,
$false,
inference(resolve,[status(thm)],[c_21,c_22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS093+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n015.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 19:42:27 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 2081357 was started by sandbox on n015,
% 0.08/0.35 % Fri Sep 25 19:42:27 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.36
% 0.08/0.36 % From the command line: assign(max_seconds, 300).
% 0.12/0.37
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.37
% 0.12/0.37 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.12/0.37 % Length of proof is 16.
% 0.12/0.37 % Level of proof is 5.
% 0.12/0.37 % Maximum clause weight is 0.000.
% 0.12/0.37 % Given clauses 0.
% 0.12/0.37
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------