%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR064+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 2.45s 0.83s
% Output : CNFRefutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% 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 : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 1 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_229,axiom,
! [ARG1,ARG2] :
( genls(ARG1,ARG2)
=> collection(ARG1) ),
file('theBenchmark.p',ax1_229) ).
fof(ax1_289,axiom,
! [OBJ] :
~ ( individual(OBJ)
& collection(OBJ) ),
file('theBenchmark.p',ax1_289) ).
fof(query114,conjecture,
~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
file('theBenchmark.p',query114) ).
fof(query114_neg,negated_conjecture,
~ ~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
inference(assume_negation,[status(cth)],[query114]) ).
cnf(c_1394,plain,
( collection(A)
| ~ genls(A,B) ),
inference(clausify,[status(thm)],[ax1_229]) ).
cnf(c_1428,plain,
( ~ individual(A)
| ~ collection(A) ),
inference(clausify,[status(thm)],[ax1_289]) ).
fof(ax1_428,axiom,
individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
file('theBenchmark.p',ax1_428) ).
cnf(c_1515,plain,
individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
inference(clausify,[status(thm)],[ax1_428]) ).
cnf(c_1962,negated_conjecture,
genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
inference(clausify,[status(thm)],[query114_neg]) ).
cnf(c_2042,plain,
~ collection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
inference(resolve,[status(thm)],[c_1515,c_1428]) ).
cnf(c_2283,negated_conjecture,
collection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
inference(resolve,[status(thm)],[c_1394,c_1962]) ).
cnf(c_2282,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_2042,c_2283]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR064+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 00:30:47 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 2433185 was started by sandbox2 on n006,
% 0.10/0.37 % Sun Sep 27 00:30:47 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.21/0.46
% 0.21/0.46 % From the command line: assign(max_seconds, 300).
% 0.21/0.46
% 0.21/0.46 % SInE: 732 to sos, 399 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 2.45/0.83
% 2.45/0.83 % SZS status Theorem for theBenchmark
% 2.45/0.83
% 2.45/0.83 % Proof 1 at 0.26 (+ 0.04) seconds.
% 2.45/0.83 % Length of proof is 9.
% 2.45/0.83 % Level of proof is 3.
% 2.45/0.83 % Maximum clause weight is 207.000.
% 2.45/0.83 % Given clauses 186.
% 2.45/0.83
% 2.45/0.83 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------