%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR065+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 : Thu Sep 24 12:13:21 PM UTC 2026
% Result : Theorem 88.64s 12.01s
% Output : CNFRefutation 89.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 17 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 20 ~; 17 |; 3 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f86,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f548,axiom,
! [INS] :
( ( ridgeline_topographical(INS)
& mtvisible(c_tptp_member235_mt) )
=> tptpofobject(INS,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f773,axiom,
genlmt(c_tptp_member1489_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4764,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member1489_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6660,axiom,
( mtvisible(c_cyclistsmt)
=> ridgeline_topographical(c_tptpridgeline_topographical) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23519,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44208,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44217,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44218,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f44322,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f44885,plain,
! [INS] :
( tptpofobject(INS,f_tptpquantityfn_13(n_468))
| ~ ridgeline_topographical(INS)
| ~ mtvisible(c_tptp_member235_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f548]) ).
fof(f44886,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ ridgeline_topographical(X0)
| ~ mtvisible(c_tptp_member235_mt) ),
inference(cnf_transformation,[status(thm)],[f44885]) ).
fof(f45180,plain,
genlmt(c_tptp_member1489_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[status(thm)],[f773]) ).
fof(f50193,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member1489_mt),
inference(cnf_transformation,[status(thm)],[f4764]) ).
fof(f52578,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(pre_NNF_transformation,[status(thm)],[f6660]) ).
fof(f52579,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[status(thm)],[f52578]) ).
fof(f73736,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
inference(cnf_transformation,[status(thm)],[f23519]) ).
fof(f110715,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(pre_NNF_transformation,[status(thm)],[f44208]) ).
fof(f110716,plain,
! [GENLMT] :
( mtvisible(GENLMT)
| ! [SPECMT] :
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) ),
inference(miniscoping,[status(thm)],[f110715]) ).
fof(f110717,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[status(thm)],[f110716]) ).
fof(f110738,plain,
( ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
& mtvisible(c_tptp_spindlecollectormt) ),
inference(pre_NNF_transformation,[status(thm)],[f44218]) ).
fof(f110739,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[status(thm)],[f110738]) ).
fof(f110740,plain,
~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
inference(cnf_transformation,[status(thm)],[f110738]) ).
fof(f110745,plain,
( mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[status(thm)],[f44322,f110717]) ).
fof(f110756,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member1489_mt) ),
inference(resolution,[status(thm)],[f45180,f110717]) ).
fof(f110867,plain,
( mtvisible(c_tptp_member1489_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) ),
inference(resolution,[status(thm)],[f50193,f110717]) ).
fof(f110868,plain,
mtvisible(c_tptp_member1489_mt),
inference(forward_subsumption_resolution,[status(thm)],[f110867,f110739]) ).
fof(f110869,plain,
mtvisible(c_tptp_spindleheadmt),
inference(backward_subsumption_resolution,[status(thm)],[f110756,f110868]) ).
fof(f110870,plain,
mtvisible(c_cyclistsmt),
inference(backward_subsumption_resolution,[status(thm)],[f110745,f110869]) ).
fof(f110871,plain,
ridgeline_topographical(c_tptpridgeline_topographical),
inference(backward_subsumption_resolution,[status(thm)],[f52579,f110870]) ).
fof(f111635,plain,
( mtvisible(c_tptp_member235_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) ),
inference(resolution,[status(thm)],[f73736,f110717]) ).
fof(f111636,plain,
mtvisible(c_tptp_member235_mt),
inference(forward_subsumption_resolution,[status(thm)],[f111635,f110739]) ).
fof(f111642,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ ridgeline_topographical(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f44886,f111636]) ).
fof(f111643,plain,
tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
inference(resolution,[status(thm)],[f111642,f110871]) ).
fof(f111644,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f111643,f110740]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR065+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.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 : Mon Sep 21 14:44:16 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.47/0.77 % Drodi V4.1.1
% 88.64/12.01 % Refutation found
% 88.64/12.01 % SZS status Theorem for theBenchmark: Theorem is valid
% 88.64/12.01 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.06/12.45 % Elapsed time: 12.029542 seconds
% 3.06/12.45 % CPU time: 90.384600 seconds
% 3.06/12.45 % Total memory used: 2.065 GB
% 3.06/12.45 % Net memory used: 2.059 GB
%------------------------------------------------------------------------------