%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWC026-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 08:56:35 AM UTC 2026
% Result : Unsatisfiable 10.02s 1.80s
% Output : CNFRefutation 10.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% Number of atoms : 58 ( 57 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 49 ( 25 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1_5,axiom,
sk2 = sk4,
file('theBenchmark.p',co1_5) ).
cnf(c_202,plain,
sk2 = sk4,
inference(clausify,[status(thm)],[co1_5]) ).
cnf(c_203,plain,
sk4 = sk2,
inference(copy,[status(thm)],[c_202]) ).
fof(co1_6,axiom,
sk1 = sk3,
file('theBenchmark.p',co1_6) ).
cnf(c_204,plain,
sk1 = sk3,
inference(clausify,[status(thm)],[co1_6]) ).
cnf(c_205,plain,
sk3 = sk1,
inference(copy,[status(thm)],[c_204]) ).
fof(co1_7,axiom,
( nil != sk3
| nil = sk4 ),
file('theBenchmark.p',co1_7) ).
cnf(c_206,plain,
( nil != sk3
| nil = sk4 ),
inference(clausify,[status(thm)],[co1_7]) ).
cnf(c_7308,plain,
( nil != sk3
| nil = sk2 ),
inference(paramod,[status(thm)],[c_203,c_206]) ).
cnf(c_7309,plain,
( nil != sk1
| nil = sk2 ),
inference(paramod,[status(thm)],[c_205,c_7308]) ).
cnf(c_7310,plain,
( nil != sk1
| sk2 = nil ),
inference(copy,[status(thm)],[c_7309]) ).
cnf(c_207,plain,
( sk1 != nil
| sk2 = nil ),
inference(copy,[status(thm)],[c_7310]) ).
fof(co1_8,axiom,
( nil != sk4
| nil = sk3 ),
file('theBenchmark.p',co1_8) ).
cnf(c_208,plain,
( nil != sk4
| nil = sk3 ),
inference(clausify,[status(thm)],[co1_8]) ).
cnf(c_7311,plain,
( nil != sk4
| nil = sk1 ),
inference(paramod,[status(thm)],[c_205,c_208]) ).
cnf(c_7312,plain,
( nil != sk2
| nil = sk1 ),
inference(paramod,[status(thm)],[c_203,c_7311]) ).
cnf(c_7313,plain,
( nil != sk2
| sk1 = nil ),
inference(copy,[status(thm)],[c_7312]) ).
cnf(c_209,plain,
( sk2 != nil
| sk1 = nil ),
inference(copy,[status(thm)],[c_7313]) ).
fof(co1_9,axiom,
( nil = sk1
| nil = sk2 ),
file('theBenchmark.p',co1_9) ).
cnf(c_210,plain,
( nil = sk1
| nil = sk2 ),
inference(clausify,[status(thm)],[co1_9]) ).
cnf(c_7314,plain,
( nil = sk1
| sk2 = nil ),
inference(copy,[status(thm)],[c_210]) ).
cnf(c_211,plain,
( sk1 = nil
| sk2 = nil ),
inference(copy,[status(thm)],[c_7314]) ).
fof(co1_12,axiom,
( nil != sk2
| nil != sk1 ),
file('theBenchmark.p',co1_12) ).
cnf(c_214,plain,
( nil != sk2
| nil != sk1 ),
inference(clausify,[status(thm)],[co1_12]) ).
cnf(c_7315,plain,
( nil != sk2
| sk1 != nil ),
inference(copy,[status(thm)],[c_214]) ).
cnf(c_215,plain,
( sk2 != nil
| sk1 != nil ),
inference(copy,[status(thm)],[c_7315]) ).
cnf(c_7316,plain,
( sk1 = nil
| sk1 = nil ),
inference(resolve,[status(thm)],[c_211,c_209]) ).
cnf(c_7305,plain,
sk1 = nil,
inference(copy,[status(thm)],[c_7316]) ).
cnf(c_7317,plain,
( sk2 = nil
| sk2 = nil ),
inference(resolve,[status(thm)],[c_211,c_207]) ).
cnf(c_7306,plain,
sk2 = nil,
inference(copy,[status(thm)],[c_7317]) ).
cnf(c_7318,plain,
( sk2 != nil
| nil != nil ),
inference(paramod,[status(thm)],[c_7305,c_215]) ).
cnf(c_7319,plain,
( nil != nil
| nil != nil ),
inference(paramod,[status(thm)],[c_7306,c_7318]) ).
cnf(c_7320,plain,
nil != nil,
inference(copy,[status(thm)],[c_7319]) ).
cnf(c_7307,plain,
$false,
inference(copy,[status(thm)],[c_7320]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC026-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 12:07:09 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.02/0.36 % Process 2822416 was started by sandbox on n003,
% 0.02/0.36 % Sat Sep 26 12:07:09 2026
% 0.02/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.02/0.37
% 0.02/0.37 % From the command line: assign(max_seconds, 300).
% 10.02/1.80
% 10.02/1.80 % SZS status Unsatisfiable for theBenchmark
% 10.02/1.80
% 10.02/1.80 % Proof 1 at 1.15 (+ 0.21) seconds.
% 10.02/1.80 % Length of proof is 15.
% 10.02/1.80 % Level of proof is 4.
% 10.02/1.80 % Maximum clause weight is 8.000.
% 10.02/1.80 % Given clauses 164.
% 10.02/1.80
% 10.02/1.80 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------