%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR063+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 07:07:02 AM UTC 2026
% Result : Theorem 0.14s 10.85s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 13 ~; 4 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 17 ( 4 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax3_10372,axiom,
! [ARG1,ARG2] :
( no(ARG1,ARG2)
=> few(ARG1,ARG2) ),
file('theBenchmark.p',ax3_10372) ).
fof(ax3_17363,axiom,
! [ARG1,ARG2] :
( disjointwith(ARG1,ARG2)
=> no(ARG1,ARG2) ),
file('theBenchmark.p',ax3_17363) ).
fof(ax3_20264,axiom,
! [OBJ] :
~ ( setorcollection(OBJ)
& individual(OBJ) ),
file('theBenchmark.p',ax3_20264) ).
fof(ax3_41963,axiom,
! [INS,ARG2] :
( few(INS,ARG2)
=> setorcollection(INS) ),
file('theBenchmark.p',ax3_41963) ).
fof(query213,conjecture,
~ disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),c_tptpcol_16_118949),
file('theBenchmark.p',query213) ).
fof(query213_neg,negated_conjecture,
~ ~ disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),c_tptpcol_16_118949),
inference(assume_negation,[status(cth)],[query213]) ).
cnf(c_128,plain,
( no(A,B)
| ~ disjointwith(A,B) ),
inference(clausify,[status(thm)],[ax3_17363]) ).
cnf(c_132,plain,
( ~ setorcollection(A)
| ~ individual(A) ),
inference(clausify,[status(thm)],[ax3_20264]) ).
cnf(c_149,plain,
( setorcollection(A)
| ~ few(A,B) ),
inference(clausify,[status(thm)],[ax3_41963]) ).
cnf(c_188,plain,
( few(A,B)
| ~ no(A,B) ),
inference(clausify,[status(thm)],[ax3_10372]) ).
fof(ax3_23452,axiom,
individual(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))),
file('theBenchmark.p',ax3_23452) ).
cnf(c_193,plain,
individual(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))),
inference(clausify,[status(thm)],[ax3_23452]) ).
cnf(c_224,negated_conjecture,
disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),c_tptpcol_16_118949),
inference(clausify,[status(thm)],[query213_neg]) ).
cnf(c_229,plain,
~ setorcollection(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))),
inference(resolve,[status(thm)],[c_132,c_193]) ).
cnf(c_234,plain,
~ few(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),A),
inference(resolve,[status(thm)],[c_149,c_229]) ).
cnf(c_289,plain,
~ no(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),A),
inference(resolve,[status(thm)],[c_188,c_234]) ).
cnf(c_290,plain,
~ disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),A),
inference(resolve,[status(thm)],[c_128,c_289]) ).
cnf(c_291,plain,
$false,
inference(resolve,[status(thm)],[c_290,c_224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR063+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.38 % Computer : n019.cluster.edu
% 0.09/10.38 % Model : x86_64 x86_64
% 0.09/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38 % Memory : 8046.5625MB
% 0.09/10.38 % OS : Linux 6.8.0-71-generic
% 0.09/10.38 % CPULimit : 300
% 0.09/10.38 % WCLimit : 300
% 0.09/10.38 % DateTime : Sun Sep 27 00:30:34 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/10.39 % Process 2567137 was started by sandbox on n019,
% 0.09/10.39 % Sun Sep 27 00:30:34 2026
% 0.09/10.39 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/10.85
% 0.14/10.85 % SInE (scan): 128 to sos (tol 1.5x), 8 to usable (tol 2.0x), 44080 zapped, of 44216 axioms (depth 3).
% 0.14/10.85
% 0.14/10.85 % From the command line: assign(max_seconds, 300).
% 0.14/10.85
% 0.14/10.85 % SZS status Theorem for theBenchmark
% 0.14/10.85
% 0.14/10.85 % Proof 1 at 0.05 (+ 0.09) seconds.
% 0.14/10.85 % Length of proof is 16.
% 0.14/10.85 % Level of proof is 6.
% 0.14/10.85 % Maximum clause weight is 106.000.
% 0.14/10.85 % Given clauses 67.
% 0.14/10.85
% 0.14/10.85 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------