%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR064+1 : 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 0.16s 0.41s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 11 ~; 3 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 12 ( 3 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(just2,axiom,
! [OBJ] :
~ ( setorcollection(OBJ)
& individual(OBJ) ),
file('theBenchmark.p',just2) ).
fof(just10,axiom,
! [ARG1,ARG2] :
( genls(ARG1,ARG2)
=> subsetof(ARG1,ARG2) ),
file('theBenchmark.p',just10) ).
fof(just41,axiom,
! [INS,ARG2] :
( subsetof(INS,ARG2)
=> setorcollection(INS) ),
file('theBenchmark.p',just41) ).
fof(query64,conjecture,
~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
file('theBenchmark.p',query64) ).
fof(query64_neg,negated_conjecture,
~ ~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
inference(assume_negation,[status(cth)],[query64]) ).
fof(just3,axiom,
individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
file('theBenchmark.p',just3) ).
cnf(c_70,plain,
individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
inference(clausify,[status(thm)],[just3]) ).
cnf(c_71,plain,
( ~ setorcollection(A)
| ~ individual(A) ),
inference(clausify,[status(thm)],[just2]) ).
cnf(c_76,plain,
~ setorcollection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
inference(resolve,[status(thm)],[c_70,c_71]) ).
cnf(c_79,plain,
( setorcollection(A)
| ~ subsetof(A,B) ),
inference(clausify,[status(thm)],[just41]) ).
cnf(c_134,plain,
~ subsetof(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),A),
inference(resolve,[status(thm)],[c_79,c_76]) ).
cnf(c_146,plain,
( subsetof(A,B)
| ~ genls(A,B) ),
inference(clausify,[status(thm)],[just10]) ).
cnf(c_159,negated_conjecture,
genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
inference(clausify,[status(thm)],[query64_neg]) ).
cnf(c_175,plain,
~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),A),
inference(resolve,[status(thm)],[c_146,c_134]) ).
cnf(c_176,plain,
$false,
inference(resolve,[status(thm)],[c_175,c_159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR064+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n019.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 00:30:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.38 % Process 2567511 was started by sandbox on n019,
% 0.10/0.38 % Sun Sep 27 00:30:49 2026
% 0.10/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.16/0.39
% 0.16/0.39 % From the command line: assign(max_seconds, 300).
% 0.16/0.41
% 0.16/0.41 % SZS status Theorem for theBenchmark
% 0.16/0.41
% 0.16/0.41 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.16/0.41 % Length of proof is 13.
% 0.16/0.41 % Level of proof is 5.
% 0.16/0.41 % Maximum clause weight is 6.000.
% 0.16/0.41 % Given clauses 39.
% 0.16/0.41
% 0.16/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------