%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWC102-1 : 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 : n016.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 08:56:50 AM UTC 2026
% Result : Unsatisfiable 0.91s 0.66s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 17 unt; 0 def)
% Number of atoms : 33 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 15 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1_9,axiom,
( ~ frontsegP(sk2,sk1)
| ~ neq(sk1,nil) ),
file('theBenchmark.p',co1_9) ).
cnf(c_51,plain,
( ~ frontsegP(sk2,sk1)
| ~ neq(sk1,nil) ),
inference(clausify,[status(thm)],[co1_9]) ).
fof(co1_8,axiom,
neq(sk2,nil),
file('theBenchmark.p',co1_8) ).
cnf(c_52,plain,
neq(sk2,nil),
inference(clausify,[status(thm)],[co1_8]) ).
fof(co1_7,axiom,
sk4 = sk3,
file('theBenchmark.p',co1_7) ).
cnf(c_53,plain,
sk4 = sk3,
inference(clausify,[status(thm)],[co1_7]) ).
fof(co1_6,axiom,
sk1 = sk3,
file('theBenchmark.p',co1_6) ).
cnf(c_54,plain,
sk1 = sk3,
inference(clausify,[status(thm)],[co1_6]) ).
fof(co1_5,axiom,
sk2 = sk4,
file('theBenchmark.p',co1_5) ).
cnf(c_55,plain,
sk2 = sk4,
inference(clausify,[status(thm)],[co1_5]) ).
cnf(c_902,plain,
sk2 = sk3,
inference(paramod,[status(thm)],[c_53,c_55]) ).
cnf(c_56,plain,
sk3 = sk2,
inference(copy,[status(thm)],[c_902]) ).
fof(co1_4,axiom,
ssList(sk4),
file('theBenchmark.p',co1_4) ).
cnf(c_57,plain,
ssList(sk4),
inference(clausify,[status(thm)],[co1_4]) ).
cnf(c_903,plain,
ssList(sk3),
inference(paramod,[status(thm)],[c_53,c_57]) ).
cnf(c_58,plain,
ssList(sk2),
inference(paramod,[status(thm)],[c_56,c_903]) ).
fof(clause61,axiom,
! [VAR_0] :
( frontsegP(VAR_0,VAR_0)
| ~ ssList(VAR_0) ),
file('theBenchmark.p',clause61) ).
cnf(c_160,plain,
( frontsegP(A,A)
| ~ ssList(A) ),
inference(clausify,[status(thm)],[clause61]) ).
cnf(c_904,plain,
( ~ frontsegP(sk2,sk1)
| ~ neq(sk3,nil) ),
inference(paramod,[status(thm)],[c_54,c_51]) ).
cnf(c_905,plain,
( ~ frontsegP(sk2,sk1)
| ~ neq(sk2,nil) ),
inference(paramod,[status(thm)],[c_56,c_904]) ).
cnf(c_906,plain,
( ~ frontsegP(sk2,sk3)
| ~ neq(sk2,nil) ),
inference(paramod,[status(thm)],[c_54,c_905]) ).
cnf(c_907,plain,
( ~ frontsegP(sk2,sk2)
| ~ neq(sk2,nil) ),
inference(paramod,[status(thm)],[c_56,c_906]) ).
cnf(c_317,plain,
~ frontsegP(sk2,sk2),
inference(resolve,[status(thm)],[c_52,c_907]) ).
cnf(c_908,plain,
frontsegP(sk2,sk2),
inference(resolve,[status(thm)],[c_160,c_58]) ).
cnf(c_901,plain,
$false,
inference(resolve,[status(thm)],[c_317,c_908]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC102-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n016.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 12:20:16 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.43 % Process 848691 was started by sandbox on n016,
% 0.17/0.43 % Sat Sep 26 12:20:16 2026
% 0.17/0.43 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.17/0.45
% 0.17/0.45 % From the command line: assign(max_seconds, 300).
% 0.91/0.66
% 0.91/0.66 % SZS status Unsatisfiable for theBenchmark
% 0.91/0.66
% 0.91/0.66 % Proof 1 at 0.16 (+ 0.04) seconds.
% 0.91/0.66 % Length of proof is 11.
% 0.91/0.66 % Level of proof is 3.
% 0.91/0.66 % Maximum clause weight is 11.000.
% 0.91/0.66 % Given clauses 113.
% 0.91/0.66
% 0.91/0.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------