%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : KRS067+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 07:45:57 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 5 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 41 ( 16 ~; 19 |; 3 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ( ca(X)
& cc(X) )
| ( ca(X)
& cb(X) )
| ( cb(X)
& cc(X) ) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( ca(X)
=> ~ ( cb(X)
| cc(X) ) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cb(X)
=> ~ cc(X) ),
file('theBenchmark.p',axiom_4) ).
cnf(c_8,plain,
( ca(A)
| cb(A)
| ~ cUnsatisfiable(A) ),
inference(clausify,[status(thm)],[axiom_2]) ).
fof(axiom_5,axiom,
cUnsatisfiable(i2003_11_14_17_18_1956),
file('theBenchmark.p',axiom_5) ).
cnf(c_12,plain,
cUnsatisfiable(i2003_11_14_17_18_1956),
inference(clausify,[status(thm)],[axiom_5]) ).
cnf(c_13,plain,
( ca(A)
| cc(A)
| ~ cUnsatisfiable(A) ),
inference(clausify,[status(thm)],[axiom_2]) ).
cnf(c_14,plain,
( cb(A)
| cc(A)
| ~ cUnsatisfiable(A) ),
inference(clausify,[status(thm)],[axiom_2]) ).
cnf(c_15,plain,
( ~ cc(A)
| ~ ca(A) ),
inference(clausify,[status(thm)],[axiom_3]) ).
cnf(c_16,plain,
( ca(i2003_11_14_17_18_1956)
| cc(i2003_11_14_17_18_1956) ),
inference(resolve,[status(thm)],[c_13,c_12]) ).
cnf(c_17,plain,
( cb(i2003_11_14_17_18_1956)
| cc(i2003_11_14_17_18_1956) ),
inference(resolve,[status(thm)],[c_14,c_12]) ).
cnf(c_18,plain,
( ~ cc(A)
| ~ cb(A) ),
inference(clausify,[status(thm)],[axiom_4]) ).
cnf(c_19,plain,
( cb(i2003_11_14_17_18_1956)
| ~ ca(i2003_11_14_17_18_1956) ),
inference(resolve,[status(thm)],[c_15,c_17]) ).
cnf(c_20,plain,
( ca(i2003_11_14_17_18_1956)
| ~ cb(i2003_11_14_17_18_1956) ),
inference(resolve,[status(thm)],[c_18,c_16]) ).
cnf(c_21,plain,
( ~ cb(A)
| ~ ca(A) ),
inference(clausify,[status(thm)],[axiom_3]) ).
cnf(c_22,plain,
( ca(i2003_11_14_17_18_1956)
| cb(i2003_11_14_17_18_1956) ),
inference(resolve,[status(thm)],[c_8,c_12]) ).
cnf(c_23,plain,
( ca(i2003_11_14_17_18_1956)
| ca(i2003_11_14_17_18_1956) ),
inference(resolve,[status(thm)],[c_22,c_20]) ).
cnf(c_24,plain,
ca(i2003_11_14_17_18_1956),
inference(copy,[status(thm)],[c_23]) ).
cnf(c_25,plain,
( ~ ca(i2003_11_14_17_18_1956)
| ~ ca(i2003_11_14_17_18_1956) ),
inference(resolve,[status(thm)],[c_21,c_19]) ).
cnf(c_27,plain,
~ ca(i2003_11_14_17_18_1956),
inference(copy,[status(thm)],[c_25]) ).
cnf(c_26,plain,
$false,
inference(resolve,[status(thm)],[c_24,c_27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS067+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 19:38:24 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.36 % Process 1699406 was started by sandbox2 on n008,
% 0.13/0.36 % Fri Sep 25 19:38:24 2026
% 0.13/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.13/0.37
% 0.13/0.37 % From the command line: assign(max_seconds, 300).
% 0.13/0.38
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.38
% 0.13/0.38 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.13/0.38 % Length of proof is 19.
% 0.13/0.38 % Level of proof is 6.
% 0.13/0.38 % Maximum clause weight is 2.000.
% 0.13/0.38 % Given clauses 0.
% 0.13/0.38
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------