%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWC050-1 : 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 : n001.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 08:56:40 AM UTC 2026
% Result : Unsatisfiable 11.69s 2.06s
% Output : CNFRefutation 11.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 12 unt; 0 def)
% Number of atoms : 71 ( 5 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 80 ( 43 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 5 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1_18,axiom,
( ~ neq(sk4,nil)
| rearsegP(sk3,sk5) ),
file('theBenchmark.p',co1_18) ).
cnf(c_51,plain,
( ~ neq(sk4,nil)
| rearsegP(sk3,sk5) ),
inference(clausify,[status(thm)],[co1_18]) ).
fof(co1_17,axiom,
( ~ neq(sk4,nil)
| rearsegP(sk4,sk5) ),
file('theBenchmark.p',co1_17) ).
cnf(c_52,plain,
( ~ neq(sk4,nil)
| rearsegP(sk4,sk5) ),
inference(clausify,[status(thm)],[co1_17]) ).
fof(co1_16,axiom,
( ~ neq(sk4,nil)
| neq(sk5,nil) ),
file('theBenchmark.p',co1_16) ).
cnf(c_53,plain,
( ~ neq(sk4,nil)
| neq(sk5,nil) ),
inference(clausify,[status(thm)],[co1_16]) ).
fof(co1_15,axiom,
( ~ neq(sk4,nil)
| ssList(sk5) ),
file('theBenchmark.p',co1_15) ).
cnf(c_54,plain,
( ~ neq(sk4,nil)
| ssList(sk5) ),
inference(clausify,[status(thm)],[co1_15]) ).
fof(co1_14,axiom,
! [VAR_0] :
( ~ neq(sk4,nil)
| ~ rearsegP(sk1,VAR_0)
| ~ rearsegP(sk2,VAR_0)
| ~ neq(VAR_0,nil)
| ~ ssList(VAR_0) ),
file('theBenchmark.p',co1_14) ).
cnf(c_55,plain,
( ~ neq(sk4,nil)
| ~ rearsegP(sk1,A)
| ~ rearsegP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
inference(clausify,[status(thm)],[co1_14]) ).
fof(co1_7,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('theBenchmark.p',co1_7) ).
cnf(c_62,plain,
( neq(sk2,nil)
| neq(sk2,nil) ),
inference(clausify,[status(thm)],[co1_7]) ).
cnf(c_63,plain,
neq(sk2,nil),
inference(copy,[status(thm)],[c_62]) ).
fof(co1_6,axiom,
sk1 = sk3,
file('theBenchmark.p',co1_6) ).
cnf(c_64,plain,
sk1 = sk3,
inference(clausify,[status(thm)],[co1_6]) ).
fof(co1_5,axiom,
sk2 = sk4,
file('theBenchmark.p',co1_5) ).
cnf(c_65,plain,
sk2 = sk4,
inference(clausify,[status(thm)],[co1_5]) ).
cnf(c_66,plain,
sk4 = sk2,
inference(copy,[status(thm)],[c_65]) ).
cnf(c_7920,plain,
( ~ neq(sk4,nil)
| ~ rearsegP(sk3,A)
| ~ rearsegP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
inference(paramod,[status(thm)],[c_64,c_55]) ).
cnf(c_7921,plain,
( ~ neq(sk2,nil)
| ~ rearsegP(sk3,A)
| ~ rearsegP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
inference(paramod,[status(thm)],[c_66,c_7920]) ).
cnf(c_328,plain,
( ~ rearsegP(sk3,A)
| ~ rearsegP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
inference(resolve,[status(thm)],[c_63,c_7921]) ).
cnf(c_7922,plain,
( ~ neq(sk2,nil)
| ssList(sk5) ),
inference(paramod,[status(thm)],[c_66,c_54]) ).
cnf(c_329,plain,
ssList(sk5),
inference(resolve,[status(thm)],[c_63,c_7922]) ).
cnf(c_7923,plain,
( ~ neq(sk2,nil)
| neq(sk5,nil) ),
inference(paramod,[status(thm)],[c_66,c_53]) ).
cnf(c_330,plain,
neq(sk5,nil),
inference(resolve,[status(thm)],[c_63,c_7923]) ).
cnf(c_7924,plain,
( ~ neq(sk4,nil)
| rearsegP(sk2,sk5) ),
inference(paramod,[status(thm)],[c_66,c_52]) ).
cnf(c_7925,plain,
( ~ neq(sk2,nil)
| rearsegP(sk2,sk5) ),
inference(paramod,[status(thm)],[c_66,c_7924]) ).
cnf(c_331,plain,
rearsegP(sk2,sk5),
inference(resolve,[status(thm)],[c_63,c_7925]) ).
cnf(c_7926,plain,
( ~ neq(sk2,nil)
| rearsegP(sk3,sk5) ),
inference(paramod,[status(thm)],[c_66,c_51]) ).
cnf(c_332,plain,
rearsegP(sk3,sk5),
inference(resolve,[status(thm)],[c_63,c_7926]) ).
cnf(c_7927,plain,
( ~ rearsegP(sk3,sk5)
| ~ rearsegP(sk2,sk5)
| ~ neq(sk5,nil) ),
inference(resolve,[status(thm)],[c_329,c_328]) ).
cnf(c_7928,plain,
( ~ rearsegP(sk3,sk5)
| ~ rearsegP(sk2,sk5) ),
inference(resolve,[status(thm)],[c_330,c_7927]) ).
cnf(c_7929,plain,
~ rearsegP(sk3,sk5),
inference(resolve,[status(thm)],[c_331,c_7928]) ).
cnf(c_7919,plain,
$false,
inference(resolve,[status(thm)],[c_332,c_7929]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC050-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 12:14:13 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 1755590 was started by sandbox on n001,
% 0.08/0.35 % Sat Sep 26 12:14:13 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.12/0.36
% 0.12/0.36 % From the command line: assign(max_seconds, 300).
% 11.69/2.06
% 11.69/2.06 % SZS status Unsatisfiable for theBenchmark
% 11.69/2.06
% 11.69/2.06 % Proof 1 at 1.33 (+ 0.34) seconds.
% 11.69/2.06 % Length of proof is 16.
% 11.69/2.06 % Level of proof is 3.
% 11.69/2.06 % Maximum clause weight is 16.000.
% 11.69/2.06 % Given clauses 266.
% 11.69/2.06
% 11.69/2.06 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------