%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR065+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 0.02s 0.62s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% 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 : 44 ( 20 ~; 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(f25,axiom,
( mtvisible(c_cyclistsmt)
=> ridgeline_topographical(c_tptpridgeline_topographical) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f105,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(f254,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f315,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f364,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f419,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1123,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1132,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1170,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f1171,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[status(thm)],[f1170]) ).
fof(f1285,plain,
! [INS] :
( tptpofobject(INS,f_tptpquantityfn_13(n_468))
| ~ ridgeline_topographical(INS)
| ~ mtvisible(c_tptp_member235_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f105]) ).
fof(f1286,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ ridgeline_topographical(X0)
| ~ mtvisible(c_tptp_member235_mt) ),
inference(cnf_transformation,[status(thm)],[f1285]) ).
fof(f1504,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f1596,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f1665,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(cnf_transformation,[status(thm)],[f364]) ).
fof(f1744,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f3181,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(pre_NNF_transformation,[status(thm)],[f1123]) ).
fof(f3182,plain,
! [GENLMT] :
( mtvisible(GENLMT)
| ! [SPECMT] :
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) ),
inference(miniscoping,[status(thm)],[f3181]) ).
fof(f3183,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[status(thm)],[f3182]) ).
fof(f3204,plain,
( ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
& mtvisible(c_tptp_spindlecollectormt) ),
inference(pre_NNF_transformation,[status(thm)],[f1133]) ).
fof(f3205,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[status(thm)],[f3204]) ).
fof(f3206,plain,
~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
inference(cnf_transformation,[status(thm)],[f3204]) ).
fof(f3207,plain,
! [X0] :
( mtvisible(X0)
| ~ genlmt(c_tptp_spindlecollectormt,X0) ),
inference(resolution,[status(thm)],[f3183,f3205]) ).
fof(f3241,plain,
mtvisible(c_tptp_member3993_mt),
inference(resolution,[status(thm)],[f1665,f3207]) ).
fof(f3242,plain,
! [X0] :
( mtvisible(X0)
| ~ genlmt(c_tptp_member3993_mt,X0) ),
inference(resolution,[status(thm)],[f3241,f3183]) ).
fof(f3243,plain,
mtvisible(c_tptp_spindleheadmt),
inference(resolution,[status(thm)],[f3242,f1596]) ).
fof(f3248,plain,
! [X0] :
( mtvisible(X0)
| ~ genlmt(c_tptp_spindleheadmt,X0) ),
inference(resolution,[status(thm)],[f3243,f3183]) ).
fof(f3253,plain,
mtvisible(c_cyclistsmt),
inference(resolution,[status(thm)],[f3248,f1504]) ).
fof(f3258,plain,
ridgeline_topographical(c_tptpridgeline_topographical),
inference(backward_subsumption_resolution,[status(thm)],[f1171,f3253]) ).
fof(f3281,plain,
mtvisible(c_tptp_member235_mt),
inference(resolution,[status(thm)],[f1744,f3207]) ).
fof(f3283,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ ridgeline_topographical(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1286,f3281]) ).
fof(f3285,plain,
~ ridgeline_topographical(c_tptpridgeline_topographical),
inference(resolution,[status(thm)],[f3283,f3206]) ).
fof(f3286,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3285,f3258]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR065+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.56 % Computer : n004.cluster.edu
% 0.10/0.56 % Model : x86_64 x86_64
% 0.10/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.56 % Memory : 8046.5625MB
% 0.10/0.56 % OS : Linux 6.8.0-71-generic
% 0.02/0.56 % CPULimit : 300
% 0.02/0.56 % WCLimit : 300
% 0.02/0.56 % DateTime : Mon Sep 21 14:42:50 UTC 2026
% 0.02/0.57 % CPUTime :
% 0.02/0.60 % Drodi V4.1.1
% 0.02/0.62 % Refutation found
% 0.02/0.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.02/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.67 % Elapsed time: 0.091540 seconds
% 0.13/0.67 % CPU time: 0.233046 seconds
% 0.13/0.67 % Total memory used: 101.649 MB
% 0.13/0.67 % Net memory used: 101.591 MB
%------------------------------------------------------------------------------