%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWC351-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 08:57:33 AM UTC 2026
% Result : Unsatisfiable 8.76s 1.62s
% Output : CNFRefutation 8.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 18 unt; 0 def)
% Number of atoms : 37 ( 8 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 32 ( 18 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause144,axiom,
! [VAR_0,VAR_1,VAR_2] :
( frontsegP(VAR_2,VAR_0)
| ~ ssList(VAR_2)
| ~ ssList(VAR_0)
| ~ ssList(VAR_1)
| app(VAR_0,VAR_1) != VAR_2 ),
file('theBenchmark.p',clause144) ).
cnf(c_167,plain,
( frontsegP(C,A)
| ~ ssList(C)
| ~ ssList(A)
| ~ ssList(B)
| app(A,B) != C ),
inference(clausify,[status(thm)],[clause144]) ).
fof(co1_3,axiom,
ssList(sk3),
file('theBenchmark.p',co1_3) ).
cnf(c_203,plain,
ssList(sk3),
inference(clausify,[status(thm)],[co1_3]) ).
fof(co1_4,axiom,
ssList(sk4),
file('theBenchmark.p',co1_4) ).
cnf(c_204,plain,
ssList(sk4),
inference(clausify,[status(thm)],[co1_4]) ).
fof(co1_5,axiom,
sk2 = sk4,
file('theBenchmark.p',co1_5) ).
cnf(c_205,plain,
sk2 = sk4,
inference(clausify,[status(thm)],[co1_5]) ).
fof(co1_6,axiom,
sk1 = sk3,
file('theBenchmark.p',co1_6) ).
cnf(c_206,plain,
sk1 = sk3,
inference(clausify,[status(thm)],[co1_6]) ).
fof(co1_8,axiom,
ssList(sk5),
file('theBenchmark.p',co1_8) ).
cnf(c_207,plain,
ssList(sk5),
inference(clausify,[status(thm)],[co1_8]) ).
fof(co1_9,axiom,
app(sk3,sk5) = sk4,
file('theBenchmark.p',co1_9) ).
cnf(c_208,plain,
app(sk3,sk5) = sk4,
inference(clausify,[status(thm)],[co1_9]) ).
fof(co1_12,axiom,
~ frontsegP(sk2,sk1),
file('theBenchmark.p',co1_12) ).
cnf(c_211,plain,
~ frontsegP(sk2,sk1),
inference(clausify,[status(thm)],[co1_12]) ).
cnf(c_7463,plain,
~ frontsegP(sk4,sk1),
inference(paramod,[status(thm)],[c_205,c_211]) ).
cnf(c_212,plain,
~ frontsegP(sk4,sk3),
inference(paramod,[status(thm)],[c_206,c_7463]) ).
cnf(c_7464,plain,
( frontsegP(sk4,sk3)
| ~ ssList(sk4)
| ~ ssList(sk3)
| ~ ssList(sk5) ),
inference(resolve,[status(thm)],[c_208,c_167]) ).
cnf(c_7465,plain,
( frontsegP(sk4,sk3)
| ~ ssList(sk4)
| ~ ssList(sk3) ),
inference(resolve,[status(thm)],[c_207,c_7464]) ).
cnf(c_7466,plain,
( frontsegP(sk4,sk3)
| ~ ssList(sk4) ),
inference(resolve,[status(thm)],[c_203,c_7465]) ).
cnf(c_7467,plain,
frontsegP(sk4,sk3),
inference(resolve,[status(thm)],[c_204,c_7466]) ).
cnf(c_7462,plain,
$false,
inference(resolve,[status(thm)],[c_212,c_7467]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC351-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n012.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 26 12:51:34 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 639340 was started by sandbox2 on n012,
% 0.08/0.35 % Sat Sep 26 12:51:34 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/0.35
% 0.08/0.35 % From the command line: assign(max_seconds, 300).
% 8.76/1.62
% 8.76/1.62 % SZS status Unsatisfiable for theBenchmark
% 8.76/1.62
% 8.76/1.62 % Proof 1 at 0.95 (+ 0.19) seconds.
% 8.76/1.62 % Length of proof is 10.
% 8.76/1.62 % Level of proof is 2.
% 8.76/1.62 % Maximum clause weight is 18.000.
% 8.76/1.62 % Given clauses 163.
% 8.76/1.62
% 8.76/1.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------