%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR068+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 07:07:05 AM UTC 2026
% Result : Theorem 20.92s 9.85s
% Output : CNFRefutation 20.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 9 ~; 6 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 7 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax4_116580,axiom,
! [INS] :
( ( furpelt(INS)
& mtvisible(c_tptp_spindleheadmt) )
=> tptpofobject(INS,f_tptpquantityfn_1(n_328)) ),
file('theBenchmark.p',ax4_116580) ).
fof(ax4_540220,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax4_540220) ).
fof(query268,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('theBenchmark.p',query268) ).
fof(query268_neg,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(assume_negation,[status(cth)],[query268]) ).
fof(ax4_35088,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',ax4_35088) ).
cnf(c_176,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[ax4_35088]) ).
cnf(c_182,plain,
( tptpofobject(A,f_tptpquantityfn_1(n_328))
| ~ furpelt(A)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(clausify,[status(thm)],[ax4_116580]) ).
fof(ax4_137436,axiom,
furpelt(c_theprototypicalfurpelt),
file('theBenchmark.p',ax4_137436) ).
cnf(c_183,plain,
furpelt(c_theprototypicalfurpelt),
inference(clausify,[status(thm)],[ax4_137436]) ).
cnf(c_213,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax4_540220]) ).
cnf(c_228,negated_conjecture,
mtvisible(c_tptp_member2356_mt),
inference(clausify,[status(thm)],[query268_neg]) ).
cnf(c_229,negated_conjecture,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(clausify,[status(thm)],[query268_neg]) ).
cnf(c_251,plain,
( tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolve,[status(thm)],[c_182,c_183]) ).
cnf(c_240,negated_conjecture,
~ mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_251,c_229]) ).
cnf(c_252,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_member2356_mt,A) ),
inference(resolve,[status(thm)],[c_213,c_228]) ).
cnf(c_253,negated_conjecture,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_252,c_176]) ).
cnf(c_250,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_240,c_253]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR068+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n010.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 27 00:35:01 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/0.45 % Process 390193 was started by sandbox2 on n010,
% 0.19/0.45 % Sun Sep 27 00:35:01 2026
% 0.19/0.45 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 20.92/9.85
% 20.92/9.85 % SInE (scan): 105 to sos (tol 1.5x), 21 to usable (tol 2.0x), 540123 zapped, of 540249 axioms (depth 3).
% 20.92/9.85
% 20.92/9.85 % From the command line: assign(max_seconds, 300).
% 20.92/9.85
% 20.92/9.85 % SZS status Theorem for theBenchmark
% 20.92/9.85
% 20.92/9.85 % Proof 1 at 0.75 (+ 0.63) seconds.
% 20.92/9.85 % Length of proof is 11.
% 20.92/9.85 % Level of proof is 3.
% 20.92/9.85 % Maximum clause weight is 109.000.
% 20.92/9.85 % Given clauses 51.
% 20.92/9.85
% 20.92/9.85 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------