%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWC328-1 : 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 08:57:29 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.50s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 16 unt; 0 def)
% Number of atoms : 32 ( 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_8,axiom,
( ~ equalelemsP(sk1)
| ~ segmentP(sk2,sk1) ),
file('theBenchmark.p',co1_8) ).
cnf(c_42,plain,
( ~ equalelemsP(sk1)
| ~ segmentP(sk2,sk1) ),
inference(clausify,[status(thm)],[co1_8]) ).
fof(co1_7,axiom,
sk1 = sk3,
file('theBenchmark.p',co1_7) ).
cnf(c_43,plain,
sk1 = sk3,
inference(clausify,[status(thm)],[co1_7]) ).
fof(co1_6,axiom,
sk2 = sk4,
file('theBenchmark.p',co1_6) ).
cnf(c_44,plain,
sk2 = sk4,
inference(clausify,[status(thm)],[co1_6]) ).
cnf(c_45,plain,
sk4 = sk2,
inference(copy,[status(thm)],[c_44]) ).
fof(co1_5,axiom,
nil = sk3,
file('theBenchmark.p',co1_5) ).
cnf(c_46,plain,
nil = sk3,
inference(clausify,[status(thm)],[co1_5]) ).
cnf(c_47,plain,
sk3 = nil,
inference(copy,[status(thm)],[c_46]) ).
fof(co1_4,axiom,
ssList(sk4),
file('theBenchmark.p',co1_4) ).
cnf(c_48,plain,
ssList(sk4),
inference(clausify,[status(thm)],[co1_4]) ).
cnf(c_49,plain,
ssList(sk2),
inference(paramod,[status(thm)],[c_45,c_48]) ).
fof(clause56,axiom,
! [VAR_0] :
( segmentP(VAR_0,nil)
| ~ ssList(VAR_0) ),
file('theBenchmark.p',clause56) ).
cnf(c_157,plain,
( segmentP(A,nil)
| ~ ssList(A) ),
inference(clausify,[status(thm)],[clause56]) ).
fof(clause1,axiom,
equalelemsP(nil),
file('theBenchmark.p',clause1) ).
cnf(c_207,plain,
equalelemsP(nil),
inference(clausify,[status(thm)],[clause1]) ).
cnf(c_890,plain,
( ~ equalelemsP(sk1)
| ~ segmentP(sk2,sk3) ),
inference(paramod,[status(thm)],[c_43,c_42]) ).
cnf(c_891,plain,
( ~ equalelemsP(sk1)
| ~ segmentP(sk2,nil) ),
inference(paramod,[status(thm)],[c_47,c_890]) ).
cnf(c_892,plain,
( ~ equalelemsP(sk3)
| ~ segmentP(sk2,nil) ),
inference(paramod,[status(thm)],[c_43,c_891]) ).
cnf(c_893,plain,
( ~ equalelemsP(nil)
| ~ segmentP(sk2,nil) ),
inference(paramod,[status(thm)],[c_47,c_892]) ).
cnf(c_283,plain,
~ segmentP(sk2,nil),
inference(resolve,[status(thm)],[c_207,c_893]) ).
cnf(c_894,plain,
segmentP(sk2,nil),
inference(resolve,[status(thm)],[c_157,c_49]) ).
cnf(c_889,plain,
$false,
inference(resolve,[status(thm)],[c_283,c_894]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC328-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 12:53:30 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 907231 was started by sandbox on n016,
% 0.09/0.37 % Sat Sep 26 12:53:30 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/0.38
% 0.13/0.38 % From the command line: assign(max_seconds, 300).
% 0.13/0.50
% 0.13/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.50
% 0.13/0.50 % Proof 1 at 0.11 (+ 0.02) seconds.
% 0.13/0.50 % Length of proof is 12.
% 0.13/0.50 % Level of proof is 3.
% 0.13/0.50 % Maximum clause weight is 5.000.
% 0.13/0.50 % Given clauses 115.
% 0.13/0.50
% 0.13/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------