%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWC051-1 : 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 : n015.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 08:56:41 AM UTC 2026
% Result : Unsatisfiable 12.37s 2.09s
% Output : CNFRefutation 12.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 18 unt; 0 def)
% Number of atoms : 43 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 21 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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_11,axiom,
( rearsegP(sk4,sk3)
| ~ neq(sk4,nil) ),
file('theBenchmark.p',co1_11) ).
cnf(c_51,plain,
( rearsegP(sk4,sk3)
| ~ neq(sk4,nil) ),
inference(clausify,[status(thm)],[co1_11]) ).
fof(co1_10,axiom,
( neq(sk3,nil)
| ~ neq(sk4,nil) ),
file('theBenchmark.p',co1_10) ).
cnf(c_52,plain,
( neq(sk3,nil)
| ~ neq(sk4,nil) ),
inference(clausify,[status(thm)],[co1_10]) ).
fof(co1_8,axiom,
! [VAR_0] :
( ~ rearsegP(sk1,VAR_0)
| ~ rearsegP(sk2,VAR_0)
| ~ neq(VAR_0,nil)
| ~ ssList(VAR_0) ),
file('theBenchmark.p',co1_8) ).
cnf(c_55,plain,
( ~ rearsegP(sk1,A)
| ~ rearsegP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
inference(clausify,[status(thm)],[co1_8]) ).
fof(co1_7,axiom,
neq(sk2,nil),
file('theBenchmark.p',co1_7) ).
cnf(c_56,plain,
neq(sk2,nil),
inference(clausify,[status(thm)],[co1_7]) ).
fof(co1_6,axiom,
sk1 = sk3,
file('theBenchmark.p',co1_6) ).
cnf(c_57,plain,
sk1 = sk3,
inference(clausify,[status(thm)],[co1_6]) ).
fof(co1_5,axiom,
sk2 = sk4,
file('theBenchmark.p',co1_5) ).
cnf(c_58,plain,
sk2 = sk4,
inference(clausify,[status(thm)],[co1_5]) ).
fof(co1_3,axiom,
ssList(sk3),
file('theBenchmark.p',co1_3) ).
cnf(c_60,plain,
ssList(sk3),
inference(clausify,[status(thm)],[co1_3]) ).
fof(co1_1,axiom,
ssList(sk1),
file('theBenchmark.p',co1_1) ).
cnf(c_62,plain,
ssList(sk1),
inference(clausify,[status(thm)],[co1_1]) ).
fof(clause59,axiom,
! [VAR_0] :
( rearsegP(VAR_0,VAR_0)
| ~ ssList(VAR_0) ),
file('theBenchmark.p',clause59) ).
cnf(c_164,plain,
( rearsegP(A,A)
| ~ ssList(A) ),
inference(clausify,[status(thm)],[clause59]) ).
cnf(c_827,plain,
neq(sk4,nil),
inference(paramod,[status(thm)],[c_58,c_56]) ).
cnf(c_828,plain,
neq(sk3,nil),
inference(resolve,[status(thm)],[c_827,c_52]) ).
cnf(c_829,plain,
rearsegP(sk4,sk3),
inference(resolve,[status(thm)],[c_827,c_51]) ).
cnf(c_1098,plain,
rearsegP(sk1,sk1),
inference(resolve,[status(thm)],[c_164,c_62]) ).
cnf(c_5370,plain,
( ~ rearsegP(sk1,sk3)
| ~ rearsegP(sk2,sk3)
| ~ ssList(sk3) ),
inference(resolve,[status(thm)],[c_828,c_55]) ).
cnf(c_4794,plain,
( ~ rearsegP(sk1,sk3)
| ~ rearsegP(sk2,sk3) ),
inference(resolve,[status(thm)],[c_60,c_5370]) ).
cnf(c_5053,plain,
rearsegP(sk1,sk3),
inference(paramod,[status(thm)],[c_57,c_1098]) ).
cnf(c_5054,plain,
~ rearsegP(sk2,sk3),
inference(resolve,[status(thm)],[c_5053,c_4794]) ).
cnf(c_5371,plain,
~ rearsegP(sk4,sk3),
inference(paramod,[status(thm)],[c_58,c_5054]) ).
cnf(c_5369,plain,
$false,
inference(resolve,[status(thm)],[c_829,c_5371]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC051-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n015.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sat Sep 26 12:11:28 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.43 % Process 3991406 was started by sandbox on n015,
% 0.16/0.43 % Sat Sep 26 12:11:28 2026
% 0.16/0.43 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.16/0.44
% 0.16/0.44 % From the command line: assign(max_seconds, 300).
% 12.37/2.09
% 12.37/2.09 % given #500 (I,wt=35): 556 app(app(A,cons(B,C)),cons(B,D)) != A | -ssList(D) | -ssList(C) | -ssList(A) | -ssItem(B) | lt(B,B) | -lt(skaf59(A),skaf60(A)). [factor(295,e,f),merge(g)].
% 12.37/2.09
% 12.37/2.09 % SZS status Unsatisfiable for theBenchmark
% 12.37/2.09
% 12.37/2.09 % Proof 1 at 1.27 (+ 0.35) seconds.
% 12.37/2.09 % Length of proof is 17.
% 12.37/2.09 % Level of proof is 5.
% 12.37/2.09 % Maximum clause weight is 13.000.
% 12.37/2.09 % Given clauses 798.
% 12.37/2.09
% 12.37/2.09 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------