%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWC358-1 : 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 : n014.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 08:57:35 AM UTC 2026
% Result : Unsatisfiable 0.23s 5.54s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 15 unt; 0 def)
% Number of atoms : 46 ( 15 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 50 ( 30 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1_7,axiom,
neq(sk2,nil),
file('theBenchmark.p',co1_7) ).
cnf(c_30,plain,
neq(sk2,nil),
inference(clausify,[status(thm)],[co1_7]) ).
fof(clause115,axiom,
! [VAR_0,VAR_1] :
( ~ ssList(VAR_0)
| ~ ssList(VAR_1)
| ~ neq(VAR_0,VAR_1)
| VAR_0 != VAR_1 ),
file('theBenchmark.p',clause115) ).
cnf(c_33,plain,
( ~ ssList(A)
| ~ ssList(B)
| ~ neq(A,B)
| A != B ),
inference(clausify,[status(thm)],[clause115]) ).
cnf(c_39,plain,
( ~ ssList(sk2)
| ~ ssList(nil)
| sk2 != nil ),
inference(resolve,[status(thm)],[c_33,c_30]) ).
fof(clause8,axiom,
ssList(nil),
file('theBenchmark.p',clause8) ).
cnf(c_60,plain,
ssList(nil),
inference(clausify,[status(thm)],[clause8]) ).
fof(co1_5,axiom,
sk2 = sk4,
file('theBenchmark.p',co1_5) ).
cnf(c_213,plain,
sk2 = sk4,
inference(clausify,[status(thm)],[co1_5]) ).
fof(co1_6,axiom,
sk1 = sk3,
file('theBenchmark.p',co1_6) ).
cnf(c_214,plain,
sk1 = sk3,
inference(clausify,[status(thm)],[co1_6]) ).
fof(co1_8,axiom,
~ segmentP(sk2,sk1),
file('theBenchmark.p',co1_8) ).
cnf(c_215,plain,
~ segmentP(sk2,sk1),
inference(clausify,[status(thm)],[co1_8]) ).
cnf(c_306,plain,
~ segmentP(sk4,sk1),
inference(paramod,[status(thm)],[c_213,c_215]) ).
cnf(c_216,plain,
~ segmentP(sk4,sk3),
inference(paramod,[status(thm)],[c_214,c_306]) ).
fof(co1_10,axiom,
( segmentP(sk4,sk3)
| nil = sk4 ),
file('theBenchmark.p',co1_10) ).
cnf(c_217,plain,
( segmentP(sk4,sk3)
| nil = sk4 ),
inference(clausify,[status(thm)],[co1_10]) ).
cnf(c_307,plain,
( segmentP(sk4,sk3)
| sk4 = nil ),
inference(copy,[status(thm)],[c_217]) ).
cnf(c_218,plain,
sk4 = nil,
inference(resolve,[status(thm)],[c_216,c_307]) ).
cnf(c_308,plain,
( ~ ssList(sk2)
| ~ ssList(nil)
| sk4 != nil ),
inference(paramod,[status(thm)],[c_213,c_39]) ).
cnf(c_309,plain,
( ~ ssList(sk2)
| ~ ssList(nil)
| nil != nil ),
inference(paramod,[status(thm)],[c_218,c_308]) ).
cnf(c_310,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil != nil ),
inference(paramod,[status(thm)],[c_213,c_309]) ).
cnf(c_311,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| nil != nil ),
inference(paramod,[status(thm)],[c_218,c_310]) ).
cnf(c_312,plain,
( ~ ssList(nil)
| ~ ssList(nil) ),
inference(copy,[status(thm)],[c_311]) ).
cnf(c_313,plain,
~ ssList(nil),
inference(copy,[status(thm)],[c_312]) ).
cnf(c_305,plain,
$false,
inference(resolve,[status(thm)],[c_60,c_313]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC358-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/5.45 % Computer : n014.cluster.edu
% 0.19/5.45 % Model : x86_64 x86_64
% 0.19/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.45 % Memory : 8046.5625MB
% 0.19/5.45 % OS : Linux 6.8.0-71-generic
% 0.19/5.45 % CPULimit : 300
% 0.19/5.45 % WCLimit : 300
% 0.19/5.45 % DateTime : Sat Sep 26 12:52:53 UTC 2026
% 0.19/5.46 % CPUTime :
% 0.19/5.46 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/5.46 % Process 3196382 was started by sandbox2 on n014,
% 0.19/5.46 % Sat Sep 26 12:52:53 2026
% 0.19/5.46 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.19/5.47
% 0.19/5.47 % From the command line: assign(max_seconds, 300).
% 0.23/5.54
% 0.23/5.54 % SZS status Unsatisfiable for theBenchmark
% 0.23/5.54
% 0.23/5.54 % Proof 1 at 0.04 (+ 0.01) seconds.
% 0.23/5.54 % Length of proof is 11.
% 0.23/5.54 % Level of proof is 3.
% 0.23/5.54 % Maximum clause weight is 7.000.
% 0.23/5.54 % Given clauses 0.
% 0.23/5.54
% 0.23/5.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------