%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR065+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 12:13:20 PM UTC 2026
% Result : Theorem 0.13s 1.08s
% Output : CNFRefutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 17 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 19 ~; 16 |; 3 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f279,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f723,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f737,axiom,
( mtvisible(c_cyclistsmt)
=> ridgeline_topographical(c_tptpridgeline_topographical) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f923,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2569,axiom,
! [INS] :
( ( ridgeline_topographical(INS)
& mtvisible(c_tptp_member235_mt) )
=> tptpofobject(INS,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4288,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7997,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8006,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8007,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8382,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
inference(cnf_transformation,[status(thm)],[f279]) ).
fof(f9002,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[status(thm)],[f723]) ).
fof(f9023,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(pre_NNF_transformation,[status(thm)],[f737]) ).
fof(f9024,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[status(thm)],[f9023]) ).
fof(f9299,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(cnf_transformation,[status(thm)],[f923]) ).
fof(f11604,plain,
! [INS] :
( tptpofobject(INS,f_tptpquantityfn_13(n_468))
| ~ ridgeline_topographical(INS)
| ~ mtvisible(c_tptp_member235_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f2569]) ).
fof(f11605,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ ridgeline_topographical(X0)
| ~ mtvisible(c_tptp_member235_mt) ),
inference(cnf_transformation,[status(thm)],[f11604]) ).
fof(f14003,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[status(thm)],[f4288]) ).
fof(f21368,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(pre_NNF_transformation,[status(thm)],[f7997]) ).
fof(f21369,plain,
! [GENLMT] :
( mtvisible(GENLMT)
| ! [SPECMT] :
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) ),
inference(miniscoping,[status(thm)],[f21368]) ).
fof(f21370,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[status(thm)],[f21369]) ).
fof(f21391,plain,
( ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
& mtvisible(c_tptp_spindlecollectormt) ),
inference(pre_NNF_transformation,[status(thm)],[f8007]) ).
fof(f21392,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[status(thm)],[f21391]) ).
fof(f21393,plain,
~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
inference(cnf_transformation,[status(thm)],[f21391]) ).
fof(f21394,plain,
! [X0] :
( mtvisible(X0)
| ~ genlmt(c_tptp_spindlecollectormt,X0) ),
inference(resolution,[status(thm)],[f21370,f21392]) ).
fof(f21410,plain,
mtvisible(c_tptp_member235_mt),
inference(resolution,[status(thm)],[f8382,f21394]) ).
fof(f21412,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ ridgeline_topographical(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f11605,f21410]) ).
fof(f21450,plain,
mtvisible(c_tptp_member3993_mt),
inference(resolution,[status(thm)],[f9299,f21394]) ).
fof(f21451,plain,
! [X0] :
( mtvisible(X0)
| ~ genlmt(c_tptp_member3993_mt,X0) ),
inference(resolution,[status(thm)],[f21450,f21370]) ).
fof(f21452,plain,
mtvisible(c_tptp_spindleheadmt),
inference(resolution,[status(thm)],[f21451,f9002]) ).
fof(f21463,plain,
! [X0] :
( mtvisible(X0)
| ~ genlmt(c_tptp_spindleheadmt,X0) ),
inference(resolution,[status(thm)],[f21452,f21370]) ).
fof(f22128,plain,
mtvisible(c_cyclistsmt),
inference(resolution,[status(thm)],[f14003,f21463]) ).
fof(f22202,plain,
ridgeline_topographical(c_tptpridgeline_topographical),
inference(backward_subsumption_resolution,[status(thm)],[f9024,f22128]) ).
fof(f22210,plain,
tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
inference(resolution,[status(thm)],[f22202,f21412]) ).
fof(f22211,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f22210,f21393]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR065+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n019.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 14:43:05 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.13/0.75 % Drodi V4.1.1
% 0.13/1.08 % Refutation found
% 0.13/1.08 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/1.08 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.18/2.33 % Elapsed time: 1.523919 seconds
% 3.18/2.33 % CPU time: 2.779985 seconds
% 3.18/2.33 % Total memory used: 403.954 MB
% 3.18/2.33 % Net memory used: 403.131 MB
%------------------------------------------------------------------------------