%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR065+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 : n020.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 07:07:03 AM UTC 2026
% Result : Theorem 3.80s 1.13s
% Output : CNFRefutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 17 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 12 ~; 10 |; 2 &)
% ( 0 <=>; 5 =>; 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 : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 11 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_25,axiom,
( mtvisible(c_cyclistsmt)
=> ridgeline_topographical(c_tptpridgeline_topographical) ),
file('theBenchmark.p',ax1_25) ).
fof(ax1_105,axiom,
! [INS] :
( ( ridgeline_topographical(INS)
& mtvisible(c_tptp_member235_mt) )
=> tptpofobject(INS,f_tptpquantityfn_13(n_468)) ),
file('theBenchmark.p',ax1_105) ).
fof(ax1_1123,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax1_1123) ).
fof(query115,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
file('theBenchmark.p',query115) ).
fof(query115_neg,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
inference(assume_negation,[status(cth)],[query115]) ).
fof(ax1_315,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',ax1_315) ).
cnf(c_980,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[ax1_315]) ).
fof(ax1_364,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
file('theBenchmark.p',ax1_364) ).
cnf(c_1001,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(clausify,[status(thm)],[ax1_364]) ).
cnf(c_1267,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(clausify,[status(thm)],[ax1_25]) ).
cnf(c_1312,plain,
( tptpofobject(A,f_tptpquantityfn_13(n_468))
| ~ ridgeline_topographical(A)
| ~ mtvisible(c_tptp_member235_mt) ),
inference(clausify,[status(thm)],[ax1_105]) ).
fof(ax1_254,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('theBenchmark.p',ax1_254) ).
cnf(c_1405,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(clausify,[status(thm)],[ax1_254]) ).
fof(ax1_419,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
file('theBenchmark.p',ax1_419) ).
cnf(c_1509,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
inference(clausify,[status(thm)],[ax1_419]) ).
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_spindlecollectormt),
inference(clausify,[status(thm)],[query115_neg]) ).
cnf(c_1963,negated_conjecture,
~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
inference(clausify,[status(thm)],[query115_neg]) ).
cnf(c_2247,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_spindlecollectormt,A) ),
inference(resolve,[status(thm)],[c_1957,c_1962]) ).
cnf(c_2032,negated_conjecture,
mtvisible(c_tptp_member3993_mt),
inference(resolve,[status(thm)],[c_2247,c_1001]) ).
cnf(c_2248,plain,
( mtvisible(A)
| ~ genlmt(c_tptp_member3993_mt,A) ),
inference(resolve,[status(thm)],[c_1957,c_2032]) ).
cnf(c_2043,plain,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_2248,c_980]) ).
cnf(c_2249,plain,
( mtvisible(A)
| ~ genlmt(c_tptp_spindleheadmt,A) ),
inference(resolve,[status(thm)],[c_1957,c_2043]) ).
cnf(c_2126,plain,
mtvisible(c_cyclistsmt),
inference(resolve,[status(thm)],[c_2249,c_1405]) ).
cnf(c_2131,plain,
ridgeline_topographical(c_tptpridgeline_topographical),
inference(resolve,[status(thm)],[c_2126,c_1267]) ).
cnf(c_2250,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_spindlecollectormt,A) ),
inference(resolve,[status(thm)],[c_1957,c_1962]) ).
cnf(c_2236,negated_conjecture,
mtvisible(c_tptp_member235_mt),
inference(resolve,[status(thm)],[c_2250,c_1509]) ).
cnf(c_2239,plain,
( tptpofobject(A,f_tptpquantityfn_13(n_468))
| ~ ridgeline_topographical(A) ),
inference(resolve,[status(thm)],[c_2236,c_1312]) ).
cnf(c_2251,plain,
tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
inference(resolve,[status(thm)],[c_2239,c_2131]) ).
cnf(c_2246,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1963,c_2251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR065+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 00:32:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 2875655 was started by sandbox on n020,
% 0.09/0.36 % Sun Sep 27 00:32:48 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.25/0.52
% 0.25/0.52 % From the command line: assign(max_seconds, 300).
% 0.25/0.52
% 0.25/0.52 % SInE: 738 to sos, 393 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 3.80/1.13
% 3.80/1.13 % SZS status Theorem for theBenchmark
% 3.80/1.13
% 3.80/1.13 % Proof 1 at 0.37 (+ 0.05) seconds.
% 3.80/1.13 % Length of proof is 20.
% 3.80/1.13 % Level of proof is 6.
% 3.80/1.13 % Maximum clause weight is 108.000.
% 3.80/1.13 % Given clauses 260.
% 3.80/1.13
% 3.80/1.13 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------