%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWC406-1 : 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 : 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 08:57:44 AM UTC 2026
% Result : Unsatisfiable 15.98s 2.45s
% Output : CNFRefutation 15.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 14 unt; 0 def)
% Number of atoms : 22 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 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(co1_5,axiom,
sk2 = sk4,
file('theBenchmark.p',co1_5) ).
cnf(c_202,plain,
sk2 = sk4,
inference(clausify,[status(thm)],[co1_5]) ).
fof(co1_6,axiom,
sk1 = sk3,
file('theBenchmark.p',co1_6) ).
cnf(c_203,plain,
sk1 = sk3,
inference(clausify,[status(thm)],[co1_6]) ).
fof(co1_11,axiom,
! [VAR_0] :
( memberP(sk4,VAR_0)
| ~ memberP(sk3,VAR_0)
| ~ ssItem(VAR_0) ),
file('theBenchmark.p',co1_11) ).
cnf(c_209,plain,
( memberP(sk4,A)
| ~ memberP(sk3,A)
| ~ ssItem(A) ),
inference(clausify,[status(thm)],[co1_11]) ).
fof(co1_13,axiom,
ssItem(sk6),
file('theBenchmark.p',co1_13) ).
cnf(c_211,plain,
ssItem(sk6),
inference(clausify,[status(thm)],[co1_13]) ).
fof(co1_14,axiom,
memberP(sk1,sk6),
file('theBenchmark.p',co1_14) ).
cnf(c_212,plain,
memberP(sk1,sk6),
inference(clausify,[status(thm)],[co1_14]) ).
cnf(c_213,plain,
memberP(sk3,sk6),
inference(paramod,[status(thm)],[c_203,c_212]) ).
fof(co1_15,axiom,
~ memberP(sk2,sk6),
file('theBenchmark.p',co1_15) ).
cnf(c_214,plain,
~ memberP(sk2,sk6),
inference(clausify,[status(thm)],[co1_15]) ).
cnf(c_215,plain,
~ memberP(sk4,sk6),
inference(paramod,[status(thm)],[c_202,c_214]) ).
cnf(c_7426,plain,
( memberP(sk4,sk6)
| ~ memberP(sk3,sk6) ),
inference(resolve,[status(thm)],[c_211,c_209]) ).
cnf(c_7427,plain,
memberP(sk4,sk6),
inference(resolve,[status(thm)],[c_213,c_7426]) ).
cnf(c_7425,plain,
$false,
inference(resolve,[status(thm)],[c_215,c_7427]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC406-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 13:00:13 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 3729834 was started by sandbox2 on n008,
% 0.10/0.37 % Sat Sep 26 13:00:13 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.38
% 0.10/0.38 % From the command line: assign(max_seconds, 300).
% 15.98/2.45
% 15.98/2.45 % SZS status Unsatisfiable for theBenchmark
% 15.98/2.45
% 15.98/2.45 % Proof 1 at 1.67 (+ 0.35) seconds.
% 15.98/2.45 % Length of proof is 9.
% 15.98/2.45 % Level of proof is 2.
% 15.98/2.45 % Maximum clause weight is 10.000.
% 15.98/2.45 % Given clauses 168.
% 15.98/2.45
% 15.98/2.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------