%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR068+2 : 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 07:07:05 AM UTC 2026
% Result : Theorem 2.09s 0.83s
% Output : CNFRefutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% 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 : 8 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_80,axiom,
! [INS] :
( ( furpelt(INS)
& mtvisible(c_tptp_spindleheadmt) )
=> tptpofobject(INS,f_tptpquantityfn_1(n_328)) ),
file('theBenchmark.p',ax1_80) ).
fof(ax1_1123,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax1_1123) ).
fof(query118,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('theBenchmark.p',query118) ).
fof(query118_neg,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(assume_negation,[status(cth)],[query118]) ).
cnf(c_1301,plain,
( tptpofobject(A,f_tptpquantityfn_1(n_328))
| ~ furpelt(A)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(clausify,[status(thm)],[ax1_80]) ).
fof(ax1_260,axiom,
furpelt(c_theprototypicalfurpelt),
file('theBenchmark.p',ax1_260) ).
cnf(c_1409,plain,
furpelt(c_theprototypicalfurpelt),
inference(clausify,[status(thm)],[ax1_260]) ).
fof(ax1_446,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',ax1_446) ).
cnf(c_1524,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[ax1_446]) ).
cnf(c_1957,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax1_1123]) ).
cnf(c_1962,negated_conjecture,
mtvisible(c_tptp_member2356_mt),
inference(clausify,[status(thm)],[query118_neg]) ).
cnf(c_1963,negated_conjecture,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(clausify,[status(thm)],[query118_neg]) ).
cnf(c_2130,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_member2356_mt,A) ),
inference(resolve,[status(thm)],[c_1957,c_1962]) ).
cnf(c_2092,negated_conjecture,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_2130,c_1524]) ).
cnf(c_2097,plain,
( tptpofobject(A,f_tptpquantityfn_1(n_328))
| ~ furpelt(A) ),
inference(resolve,[status(thm)],[c_2092,c_1301]) ).
cnf(c_2131,negated_conjecture,
~ furpelt(c_theprototypicalfurpelt),
inference(resolve,[status(thm)],[c_2097,c_1963]) ).
cnf(c_2129,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1409,c_2131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR068+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 00:34:16 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 3443986 was started by sandbox on n005,
% 0.08/0.36 % Sun Sep 27 00:34:16 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.23/0.51
% 0.23/0.51 % From the command line: assign(max_seconds, 300).
% 0.23/0.51
% 0.23/0.51 % SInE: 738 to sos, 393 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 2.09/0.83
% 2.09/0.83 % SZS status Theorem for theBenchmark
% 2.09/0.83
% 2.09/0.83 % Proof 1 at 0.22 (+ 0.04) seconds.
% 2.09/0.83 % Length of proof is 12.
% 2.09/0.83 % Level of proof is 4.
% 2.09/0.83 % Maximum clause weight is 18.000.
% 2.09/0.83 % Given clauses 60.
% 2.09/0.83
% 2.09/0.83 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------