%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWC038-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 08:56:37 AM UTC 2026
% Result : Unsatisfiable 14.21s 2.29s
% Output : CNFRefutation 14.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 18 unt; 0 def)
% Number of atoms : 36 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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(clause84,axiom,
! [VAR_0] :
( nil = VAR_0
| ~ ssList(VAR_0)
| ~ frontsegP(nil,VAR_0) ),
file('theBenchmark.p',clause84) ).
cnf(c_125,plain,
( nil = A
| ~ ssList(A)
| ~ frontsegP(nil,A) ),
inference(clausify,[status(thm)],[clause84]) ).
fof(co1_3,axiom,
ssList(sk3),
file('theBenchmark.p',co1_3) ).
cnf(c_208,plain,
ssList(sk3),
inference(clausify,[status(thm)],[co1_3]) ).
fof(co1_5,axiom,
nil = sk2,
file('theBenchmark.p',co1_5) ).
cnf(c_210,plain,
nil = sk2,
inference(clausify,[status(thm)],[co1_5]) ).
cnf(c_211,plain,
sk2 = nil,
inference(copy,[status(thm)],[c_210]) ).
fof(co1_6,axiom,
sk2 = sk4,
file('theBenchmark.p',co1_6) ).
cnf(c_212,plain,
sk2 = sk4,
inference(clausify,[status(thm)],[co1_6]) ).
cnf(c_7061,plain,
nil = sk4,
inference(paramod,[status(thm)],[c_211,c_212]) ).
cnf(c_213,plain,
sk4 = nil,
inference(copy,[status(thm)],[c_7061]) ).
fof(co1_7,axiom,
sk1 = sk3,
file('theBenchmark.p',co1_7) ).
cnf(c_214,plain,
sk1 = sk3,
inference(clausify,[status(thm)],[co1_7]) ).
fof(co1_8,axiom,
nil != sk1,
file('theBenchmark.p',co1_8) ).
cnf(c_215,plain,
nil != sk1,
inference(clausify,[status(thm)],[co1_8]) ).
cnf(c_7062,plain,
nil != sk3,
inference(paramod,[status(thm)],[c_214,c_215]) ).
cnf(c_216,plain,
sk3 != nil,
inference(copy,[status(thm)],[c_7062]) ).
fof(co1_12,axiom,
( frontsegP(sk4,sk3)
| nil = sk3 ),
file('theBenchmark.p',co1_12) ).
cnf(c_218,plain,
( frontsegP(sk4,sk3)
| nil = sk3 ),
inference(clausify,[status(thm)],[co1_12]) ).
cnf(c_7063,plain,
( frontsegP(nil,sk3)
| nil = sk3 ),
inference(paramod,[status(thm)],[c_213,c_218]) ).
cnf(c_7064,plain,
( frontsegP(nil,sk3)
| sk3 = nil ),
inference(copy,[status(thm)],[c_7063]) ).
cnf(c_219,plain,
frontsegP(nil,sk3),
inference(resolve,[status(thm)],[c_216,c_7064]) ).
cnf(c_7065,plain,
( nil = sk3
| ~ frontsegP(nil,sk3) ),
inference(resolve,[status(thm)],[c_208,c_125]) ).
cnf(c_7066,plain,
( sk3 = nil
| ~ frontsegP(nil,sk3) ),
inference(copy,[status(thm)],[c_7065]) ).
cnf(c_7067,plain,
sk3 = nil,
inference(resolve,[status(thm)],[c_219,c_7066]) ).
cnf(c_7060,plain,
$false,
inference(resolve,[status(thm)],[c_216,c_7067]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC038-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 12:09:22 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.37 % Process 403333 was started by sandbox2 on n018,
% 0.08/0.37 % Sat Sep 26 12:09:22 2026
% 0.08/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/0.38
% 0.08/0.38 % From the command line: assign(max_seconds, 300).
% 14.21/2.29
% 14.21/2.29 % SZS status Unsatisfiable for theBenchmark
% 14.21/2.29
% 14.21/2.29 % Proof 1 at 1.48 (+ 0.32) seconds.
% 14.21/2.29 % Length of proof is 12.
% 14.21/2.29 % Level of proof is 4.
% 14.21/2.29 % Maximum clause weight is 10.000.
% 14.21/2.29 % Given clauses 158.
% 14.21/2.29
% 14.21/2.29 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------