%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWC032-1 : 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 : n017.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 08:56:36 AM UTC 2026
% Result : Unsatisfiable 8.29s 2.80s
% Output : CNFRefutation 8.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 18 unt; 0 def)
% Number of atoms : 75 ( 61 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 68 ( 35 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause118,axiom,
! [VAR_0,VAR_1] :
( nil = VAR_0
| ~ ssList(VAR_0)
| ~ ssList(VAR_1)
| app(VAR_0,VAR_1) != nil ),
file('theBenchmark.p',clause118) ).
cnf(c_140,plain,
( nil = A
| ~ ssList(A)
| ~ ssList(B)
| app(A,B) != nil ),
inference(clausify,[status(thm)],[clause118]) ).
fof(co1_1,axiom,
ssList(sk1),
file('theBenchmark.p',co1_1) ).
cnf(c_198,plain,
ssList(sk1),
inference(clausify,[status(thm)],[co1_1]) ).
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,
ssList(sk5),
file('theBenchmark.p',co1_7) ).
cnf(c_206,plain,
ssList(sk5),
inference(clausify,[status(thm)],[co1_7]) ).
fof(co1_8,axiom,
app(sk3,sk5) = sk4,
file('theBenchmark.p',co1_8) ).
cnf(c_207,plain,
app(sk3,sk5) = sk4,
inference(clausify,[status(thm)],[co1_8]) ).
cnf(c_7574,plain,
app(sk1,sk5) = sk4,
inference(paramod,[status(thm)],[c_205,c_207]) ).
cnf(c_208,plain,
app(sk1,sk5) = sk2,
inference(paramod,[status(thm)],[c_203,c_7574]) ).
fof(co1_11,axiom,
( nil != sk3
| nil = sk4 ),
file('theBenchmark.p',co1_11) ).
cnf(c_213,plain,
( nil != sk3
| nil = sk4 ),
inference(clausify,[status(thm)],[co1_11]) ).
cnf(c_7575,plain,
( nil != sk3
| nil = sk2 ),
inference(paramod,[status(thm)],[c_203,c_213]) ).
cnf(c_7576,plain,
( nil != sk1
| nil = sk2 ),
inference(paramod,[status(thm)],[c_205,c_7575]) ).
cnf(c_7577,plain,
( nil != sk1
| sk2 = nil ),
inference(copy,[status(thm)],[c_7576]) ).
cnf(c_214,plain,
( sk1 != nil
| sk2 = nil ),
inference(copy,[status(thm)],[c_7577]) ).
fof(co1_12,axiom,
( nil = sk1
| nil = sk2 ),
file('theBenchmark.p',co1_12) ).
cnf(c_215,plain,
( nil = sk1
| nil = sk2 ),
inference(clausify,[status(thm)],[co1_12]) ).
cnf(c_7578,plain,
( nil = sk1
| sk2 = nil ),
inference(copy,[status(thm)],[c_215]) ).
cnf(c_216,plain,
( sk1 = nil
| sk2 = nil ),
inference(copy,[status(thm)],[c_7578]) ).
fof(co1_15,axiom,
( nil != sk2
| nil != sk1 ),
file('theBenchmark.p',co1_15) ).
cnf(c_219,plain,
( nil != sk2
| nil != sk1 ),
inference(clausify,[status(thm)],[co1_15]) ).
cnf(c_7579,plain,
( nil != sk2
| sk1 != nil ),
inference(copy,[status(thm)],[c_219]) ).
cnf(c_220,plain,
( sk2 != nil
| sk1 != nil ),
inference(copy,[status(thm)],[c_7579]) ).
cnf(c_7580,plain,
( nil = sk1
| ~ ssList(sk1)
| ~ ssList(sk5)
| sk2 != nil ),
inference(paramod,[status(thm)],[c_208,c_140]) ).
cnf(c_7581,plain,
( sk1 = nil
| ~ ssList(sk1)
| ~ ssList(sk5)
| sk2 != nil ),
inference(copy,[status(thm)],[c_7580]) ).
cnf(c_7582,plain,
( sk1 = nil
| ~ ssList(sk1)
| sk2 != nil ),
inference(resolve,[status(thm)],[c_206,c_7581]) ).
cnf(c_7484,plain,
( sk1 = nil
| sk2 != nil ),
inference(resolve,[status(thm)],[c_198,c_7582]) ).
cnf(c_7583,plain,
( sk2 = nil
| sk2 = nil ),
inference(resolve,[status(thm)],[c_216,c_214]) ).
cnf(c_7564,plain,
sk2 = nil,
inference(copy,[status(thm)],[c_7583]) ).
cnf(c_7584,plain,
( sk1 = nil
| nil != nil ),
inference(paramod,[status(thm)],[c_7564,c_7484]) ).
cnf(c_7572,plain,
sk1 = nil,
inference(copy,[status(thm)],[c_7584]) ).
cnf(c_7585,plain,
( sk2 != nil
| nil != nil ),
inference(paramod,[status(thm)],[c_7572,c_220]) ).
cnf(c_7586,plain,
( nil != nil
| nil != nil ),
inference(paramod,[status(thm)],[c_7564,c_7585]) ).
cnf(c_7587,plain,
nil != nil,
inference(copy,[status(thm)],[c_7586]) ).
cnf(c_7573,plain,
$false,
inference(copy,[status(thm)],[c_7587]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC032-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.40 % Computer : n017.cluster.edu
% 0.08/0.40 % Model : x86_64 x86_64
% 0.08/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.40 % Memory : 8046.5625MB
% 0.08/0.40 % OS : Linux 6.8.0-71-generic
% 0.08/0.40 % CPULimit : 300
% 0.08/0.40 % WCLimit : 300
% 0.08/0.40 % DateTime : Sat Sep 26 12:01:05 UTC 2026
% 0.08/0.40 % CPUTime :
% 0.08/0.40 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.40 % Process 655648 was started by sandbox on n017,
% 0.08/0.40 % Sat Sep 26 12:01:05 2026
% 0.08/0.40 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.41
% 0.08/0.41 % From the command line: assign(max_seconds, 300).
% 8.29/2.80
% 8.29/2.80 % SZS status Unsatisfiable for theBenchmark
% 8.29/2.80
% 8.29/2.80 % Proof 1 at 0.91 (+ 0.16) seconds.
% 8.29/2.80 % Length of proof is 19.
% 8.29/2.80 % Level of proof is 5.
% 8.29/2.80 % Maximum clause weight is 16.000.
% 8.29/2.80 % Given clauses 167.
% 8.29/2.80
% 8.29/2.80 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------