%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWC103-1 : 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 : n003.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 0.21s 5.71s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 29 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 24 ( 15 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1_11,axiom,
( frontsegP(sk4,sk3)
| ~ neq(sk4,nil) ),
file('theBenchmark.p',co1_11) ).
cnf(c_51,plain,
( frontsegP(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_9,axiom,
( ~ frontsegP(sk2,sk1)
| ~ neq(sk1,nil) ),
file('theBenchmark.p',co1_9) ).
cnf(c_53,plain,
( ~ frontsegP(sk2,sk1)
| ~ neq(sk1,nil) ),
inference(clausify,[status(thm)],[co1_9]) ).
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]) ).
cnf(c_779,plain,
( ~ frontsegP(sk2,sk1)
| ~ neq(sk3,nil) ),
inference(paramod,[status(thm)],[c_57,c_53]) ).
cnf(c_780,plain,
( ~ frontsegP(sk4,sk1)
| ~ neq(sk3,nil) ),
inference(paramod,[status(thm)],[c_58,c_779]) ).
cnf(c_319,plain,
( ~ frontsegP(sk4,sk3)
| ~ neq(sk3,nil) ),
inference(paramod,[status(thm)],[c_57,c_780]) ).
cnf(c_320,plain,
neq(sk4,nil),
inference(paramod,[status(thm)],[c_58,c_56]) ).
cnf(c_584,plain,
neq(sk3,nil),
inference(resolve,[status(thm)],[c_320,c_52]) ).
cnf(c_585,plain,
frontsegP(sk4,sk3),
inference(resolve,[status(thm)],[c_320,c_51]) ).
cnf(c_781,plain,
~ frontsegP(sk4,sk3),
inference(resolve,[status(thm)],[c_584,c_319]) ).
cnf(c_778,plain,
$false,
inference(resolve,[status(thm)],[c_585,c_781]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC103-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.44 % Computer : n003.cluster.edu
% 0.17/5.44 % Model : x86_64 x86_64
% 0.17/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.44 % Memory : 8046.5625MB
% 0.17/5.44 % OS : Linux 6.8.0-71-generic
% 0.17/5.44 % CPULimit : 300
% 0.17/5.44 % WCLimit : 300
% 0.17/5.44 % DateTime : Sat Sep 26 12:17:31 UTC 2026
% 0.17/5.45 % CPUTime :
% 0.17/5.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/5.45 % Process 2843479 was started by sandbox on n003,
% 0.17/5.45 % Sat Sep 26 12:17:31 2026
% 0.17/5.45 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.17/5.46
% 0.17/5.46 % From the command line: assign(max_seconds, 300).
% 0.21/5.71
% 0.21/5.71 % SZS status Unsatisfiable for theBenchmark
% 0.21/5.71
% 0.21/5.71 % Proof 1 at 0.20 (+ 0.04) seconds.
% 0.21/5.71 % Length of proof is 11.
% 0.21/5.71 % Level of proof is 3.
% 0.21/5.71 % Maximum clause weight is 6.000.
% 0.21/5.71 % Given clauses 0.
% 0.21/5.71
% 0.21/5.71 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------