%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR063+3 : 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 : n005.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 5.69s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 2 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 1 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax2_3089,axiom,
! [OBJ] :
~ ( individual(OBJ)
& collection(OBJ) ),
file('theBenchmark.p',ax2_3089) ).
fof(ax2_7583,axiom,
! [INS,ARG2] :
( disjointwith(INS,ARG2)
=> collection(INS) ),
file('theBenchmark.p',ax2_7583) ).
fof(query163,conjecture,
~ disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),c_tptpcol_16_118949),
file('theBenchmark.p',query163) ).
fof(query163_neg,negated_conjecture,
~ ~ disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),c_tptpcol_16_118949),
inference(assume_negation,[status(cth)],[query163]) ).
fof(ax2_2866,axiom,
individual(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))),
file('theBenchmark.p',ax2_2866) ).
cnf(c_195,plain,
individual(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))),
inference(clausify,[status(thm)],[ax2_2866]) ).
cnf(c_197,plain,
( ~ individual(A)
| ~ collection(A) ),
inference(clausify,[status(thm)],[ax2_3089]) ).
cnf(c_206,plain,
( collection(A)
| ~ disjointwith(A,B) ),
inference(clausify,[status(thm)],[ax2_7583]) ).
cnf(c_231,negated_conjecture,
disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),c_tptpcol_16_118949),
inference(clausify,[status(thm)],[query163_neg]) ).
cnf(c_369,negated_conjecture,
collection(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))),
inference(resolve,[status(thm)],[c_206,c_231]) ).
cnf(c_436,plain,
~ individual(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))),
inference(resolve,[status(thm)],[c_197,c_369]) ).
cnf(c_435,plain,
$false,
inference(resolve,[status(thm)],[c_436,c_195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR063+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.54 % Computer : n005.cluster.edu
% 0.08/5.54 % Model : x86_64 x86_64
% 0.08/5.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.54 % Memory : 8046.5625MB
% 0.08/5.54 % OS : Linux 6.8.0-71-generic
% 0.08/5.54 % CPULimit : 300
% 0.08/5.54 % WCLimit : 300
% 0.08/5.54 % DateTime : Sun Sep 27 00:30:22 UTC 2026
% 0.08/5.54 % CPUTime :
% 0.08/5.55 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/5.55 % Process 3441945 was started by sandbox on n005,
% 0.08/5.55 % Sun Sep 27 00:30:22 2026
% 0.08/5.55 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/5.69
% 0.14/5.69 % SInE (scan): 125 to sos (tol 1.5x), 16 to usable (tol 2.0x), 7864 zapped, of 8005 axioms (depth 3).
% 0.14/5.69
% 0.14/5.69 % From the command line: assign(max_seconds, 300).
% 0.14/5.69
% 0.14/5.69 % SZS status Theorem for theBenchmark
% 0.14/5.69
% 0.14/5.69 % Proof 1 at 0.04 (+ 0.04) seconds.
% 0.14/5.69 % Length of proof is 9.
% 0.14/5.69 % Level of proof is 3.
% 0.14/5.69 % Maximum clause weight is 109.000.
% 0.14/5.69 % Given clauses 194.
% 0.14/5.69
% 0.14/5.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------