%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR065+1 : 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 : 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 0.10s 0.38s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 16 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 18 ~; 12 |; 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 : 8 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(just9,axiom,
( mtvisible(c_cyclistsmt)
=> ridgeline_topographical(c_tptpridgeline_topographical) ),
file('theBenchmark.p',just9) ).
fof(just10,axiom,
! [INS] :
( ( ridgeline_topographical(INS)
& mtvisible(c_tptp_member235_mt) )
=> tptpofobject(INS,f_tptpquantityfn_13(n_468)) ),
file('theBenchmark.p',just10) ).
fof(just48,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',just48) ).
fof(query65,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
file('theBenchmark.p',query65) ).
fof(query65_neg,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
inference(assume_negation,[status(cth)],[query65]) ).
cnf(c_53,plain,
( tptpofobject(A,f_tptpquantityfn_13(n_468))
| ~ ridgeline_topographical(A)
| ~ mtvisible(c_tptp_member235_mt) ),
inference(clausify,[status(thm)],[just10]) ).
cnf(c_54,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(clausify,[status(thm)],[just9]) ).
cnf(c_57,plain,
( tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
| ~ mtvisible(c_tptp_member235_mt)
| ~ mtvisible(c_cyclistsmt) ),
inference(resolve,[status(thm)],[c_54,c_53]) ).
cnf(c_59,negated_conjecture,
~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
inference(clausify,[status(thm)],[query65_neg]) ).
fof(just5,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('theBenchmark.p',just5) ).
cnf(c_82,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(clausify,[status(thm)],[just5]) ).
fof(just6,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
file('theBenchmark.p',just6) ).
cnf(c_83,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
inference(clausify,[status(thm)],[just6]) ).
fof(just7,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',just7) ).
cnf(c_84,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[just7]) ).
fof(just8,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
file('theBenchmark.p',just8) ).
cnf(c_85,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(clausify,[status(thm)],[just8]) ).
cnf(c_93,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[just48]) ).
cnf(c_96,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(clausify,[status(thm)],[query65_neg]) ).
cnf(c_99,negated_conjecture,
( ~ mtvisible(c_tptp_member235_mt)
| ~ mtvisible(c_cyclistsmt) ),
inference(resolve,[status(thm)],[c_59,c_57]) ).
cnf(c_131,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_spindlecollectormt,A) ),
inference(resolve,[status(thm)],[c_93,c_96]) ).
cnf(c_117,negated_conjecture,
mtvisible(c_tptp_member3993_mt),
inference(resolve,[status(thm)],[c_131,c_85]) ).
cnf(c_132,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_spindlecollectormt,A) ),
inference(resolve,[status(thm)],[c_93,c_96]) ).
cnf(c_118,negated_conjecture,
mtvisible(c_tptp_member235_mt),
inference(resolve,[status(thm)],[c_132,c_83]) ).
cnf(c_119,negated_conjecture,
~ mtvisible(c_cyclistsmt),
inference(resolve,[status(thm)],[c_118,c_99]) ).
cnf(c_133,plain,
( mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolve,[status(thm)],[c_93,c_82]) ).
cnf(c_125,negated_conjecture,
~ mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_133,c_119]) ).
cnf(c_134,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3993_mt) ),
inference(resolve,[status(thm)],[c_93,c_84]) ).
cnf(c_135,plain,
~ mtvisible(c_tptp_member3993_mt),
inference(resolve,[status(thm)],[c_134,c_125]) ).
cnf(c_130,plain,
$false,
inference(resolve,[status(thm)],[c_117,c_135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR065+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n020.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 00:32:34 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.36 % Process 2875041 was started by sandbox2 on n020,
% 0.10/0.36 % Sun Sep 27 00:32:34 2026
% 0.10/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.37
% 0.10/0.37 % From the command line: assign(max_seconds, 300).
% 0.10/0.38
% 0.10/0.38 % SZS status Theorem for theBenchmark
% 0.10/0.38
% 0.10/0.38 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.10/0.38 % Length of proof is 20.
% 0.10/0.38 % Level of proof is 6.
% 0.10/0.38 % Maximum clause weight is 7.000.
% 0.10/0.38 % Given clauses 27.
% 0.10/0.38
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------