%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR068+4 : 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 07:07:05 AM UTC 2026
% Result : Theorem 1.19s 0.80s
% Output : CNFRefutation 1.19s
% 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(ax3_5580,axiom,
! [INS] :
( ( furpelt(INS)
& mtvisible(c_tptp_spindleheadmt) )
=> tptpofobject(INS,f_tptpquantityfn_1(n_328)) ),
file('theBenchmark.p',ax3_5580) ).
fof(ax3_44208,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax3_44208) ).
fof(query218,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('theBenchmark.p',query218) ).
fof(query218_neg,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(assume_negation,[status(cth)],[query218]) ).
cnf(c_157,plain,
( tptpofobject(A,f_tptpquantityfn_1(n_328))
| ~ furpelt(A)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(clausify,[status(thm)],[ax3_5580]) ).
fof(ax3_9650,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',ax3_9650) ).
cnf(c_159,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[ax3_9650]) ).
fof(ax3_10453,axiom,
furpelt(c_theprototypicalfurpelt),
file('theBenchmark.p',ax3_10453) ).
cnf(c_160,plain,
furpelt(c_theprototypicalfurpelt),
inference(clausify,[status(thm)],[ax3_10453]) ).
cnf(c_188,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax3_44208]) ).
cnf(c_190,negated_conjecture,
mtvisible(c_tptp_member2356_mt),
inference(clausify,[status(thm)],[query218_neg]) ).
cnf(c_191,negated_conjecture,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(clausify,[status(thm)],[query218_neg]) ).
cnf(c_215,plain,
( tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolve,[status(thm)],[c_157,c_160]) ).
cnf(c_193,negated_conjecture,
~ mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_215,c_191]) ).
cnf(c_216,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_member2356_mt,A) ),
inference(resolve,[status(thm)],[c_188,c_190]) ).
cnf(c_217,negated_conjecture,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_216,c_159]) ).
cnf(c_214,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_193,c_217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR068+4 : 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 00:34:46 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 2443148 was started by sandbox2 on n006,
% 0.10/0.37 % Sun Sep 27 00:34:46 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 1.19/0.80
% 1.19/0.80 % SInE (scan): 82 to sos (tol 1.5x), 20 to usable (tol 2.0x), 44114 zapped, of 44216 axioms (depth 3).
% 1.19/0.80
% 1.19/0.80 % From the command line: assign(max_seconds, 300).
% 1.19/0.80
% 1.19/0.80 % SZS status Theorem for theBenchmark
% 1.19/0.80
% 1.19/0.80 % Proof 1 at 0.04 (+ 0.05) seconds.
% 1.19/0.80 % Length of proof is 11.
% 1.19/0.80 % Level of proof is 3.
% 1.19/0.80 % Maximum clause weight is 18.000.
% 1.19/0.80 % Given clauses 45.
% 1.19/0.80
% 1.19/0.80 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------