%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWC367-1 : 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 : n026.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 08:57:37 AM UTC 2026
% Result : Unsatisfiable 1.89s 0.70s
% Output : CNFRefutation 1.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 16 unt; 0 def)
% Number of atoms : 34 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause8,axiom,
ssList(nil),
file('theBenchmark.p',clause8) ).
cnf(c_57,plain,
ssList(nil),
inference(clausify,[status(thm)],[clause8]) ).
fof(clause58,axiom,
! [VAR_0] :
( rearsegP(VAR_0,nil)
| ~ ssList(VAR_0) ),
file('theBenchmark.p',clause58) ).
cnf(c_107,plain,
( rearsegP(A,nil)
| ~ ssList(A) ),
inference(clausify,[status(thm)],[clause58]) ).
fof(co1_5,axiom,
sk2 = sk4,
file('theBenchmark.p',co1_5) ).
cnf(c_210,plain,
sk2 = sk4,
inference(clausify,[status(thm)],[co1_5]) ).
fof(co1_6,axiom,
sk1 = sk3,
file('theBenchmark.p',co1_6) ).
cnf(c_211,plain,
sk1 = sk3,
inference(clausify,[status(thm)],[co1_6]) ).
fof(co1_7,axiom,
~ rearsegP(sk2,sk1),
file('theBenchmark.p',co1_7) ).
cnf(c_212,plain,
~ rearsegP(sk2,sk1),
inference(clausify,[status(thm)],[co1_7]) ).
cnf(c_928,plain,
~ rearsegP(sk4,sk1),
inference(paramod,[status(thm)],[c_210,c_212]) ).
cnf(c_213,plain,
~ rearsegP(sk4,sk3),
inference(paramod,[status(thm)],[c_211,c_928]) ).
fof(co1_9,axiom,
( rearsegP(sk4,sk3)
| nil = sk4 ),
file('theBenchmark.p',co1_9) ).
cnf(c_214,plain,
( rearsegP(sk4,sk3)
| nil = sk4 ),
inference(clausify,[status(thm)],[co1_9]) ).
cnf(c_929,plain,
( rearsegP(sk4,sk3)
| sk4 = nil ),
inference(copy,[status(thm)],[c_214]) ).
cnf(c_215,plain,
sk4 = nil,
inference(resolve,[status(thm)],[c_213,c_929]) ).
fof(co1_11,axiom,
( rearsegP(sk4,sk3)
| nil = sk3 ),
file('theBenchmark.p',co1_11) ).
cnf(c_216,plain,
( rearsegP(sk4,sk3)
| nil = sk3 ),
inference(clausify,[status(thm)],[co1_11]) ).
cnf(c_930,plain,
( rearsegP(nil,sk3)
| nil = sk3 ),
inference(paramod,[status(thm)],[c_215,c_216]) ).
cnf(c_217,plain,
( rearsegP(nil,sk3)
| sk3 = nil ),
inference(copy,[status(thm)],[c_930]) ).
cnf(c_367,plain,
~ rearsegP(nil,sk3),
inference(paramod,[status(thm)],[c_215,c_213]) ).
cnf(c_557,plain,
sk3 = nil,
inference(resolve,[status(thm)],[c_367,c_217]) ).
cnf(c_726,plain,
~ rearsegP(nil,nil),
inference(paramod,[status(thm)],[c_557,c_367]) ).
cnf(c_931,plain,
rearsegP(nil,nil),
inference(resolve,[status(thm)],[c_107,c_57]) ).
cnf(c_927,plain,
$false,
inference(resolve,[status(thm)],[c_726,c_931]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC367-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 12:56:40 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.37 % Process 1036935 was started by sandbox on n026,
% 0.11/0.37 % Sat Sep 26 12:56:40 2026
% 0.11/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.11/0.38
% 0.11/0.38 % From the command line: assign(max_seconds, 300).
% 1.89/0.70
% 1.89/0.70 % SZS status Unsatisfiable for theBenchmark
% 1.89/0.70
% 1.89/0.70 % Proof 1 at 0.20 (+ 0.06) seconds.
% 1.89/0.70 % Length of proof is 14.
% 1.89/0.70 % Level of proof is 6.
% 1.89/0.70 % Maximum clause weight is 8.000.
% 1.89/0.70 % Given clauses 60.
% 1.89/0.70
% 1.89/0.70 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------