%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR068+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 12:13:23 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 9 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 17 ~; 12 |; 3 &)
% ( 0 <=>; 4 =>; 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 : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f80,axiom,
! [INS] :
( ( furpelt(INS)
& mtvisible(c_tptp_spindleheadmt) )
=> tptpofobject(INS,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f260,axiom,
furpelt(c_theprototypicalfurpelt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f446,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1123,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1132,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1249,plain,
! [INS] :
( tptpofobject(INS,f_tptpquantityfn_1(n_328))
| ~ furpelt(INS)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(pre_NNF_transformation,[status(thm)],[f80]) ).
fof(f1250,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ furpelt(X0)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(cnf_transformation,[status(thm)],[f1249]) ).
fof(f1512,plain,
furpelt(c_theprototypicalfurpelt),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f1785,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[status(thm)],[f446]) ).
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_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
& mtvisible(c_tptp_member2356_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f1133]) ).
fof(f3205,plain,
mtvisible(c_tptp_member2356_mt),
inference(cnf_transformation,[status(thm)],[f3204]) ).
fof(f3206,plain,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(cnf_transformation,[status(thm)],[f3204]) ).
fof(f3207,plain,
( ~ furpelt(c_theprototypicalfurpelt)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[status(thm)],[f1250,f3206]) ).
fof(f3208,plain,
~ mtvisible(c_tptp_spindleheadmt),
inference(forward_subsumption_resolution,[status(thm)],[f3207,f1512]) ).
fof(f3209,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member2356_mt) ),
inference(resolution,[status(thm)],[f3183,f1785]) ).
fof(f3210,plain,
mtvisible(c_tptp_spindleheadmt),
inference(forward_subsumption_resolution,[status(thm)],[f3209,f3205]) ).
fof(f3211,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3210,f3208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR068+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.39 % Computer : n014.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 21 14:43:20 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.43 % Drodi V4.1.1
% 0.11/0.45 % Refutation found
% 0.11/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.49 % Elapsed time: 0.083351 seconds
% 0.20/0.49 % CPU time: 0.182861 seconds
% 0.20/0.49 % Total memory used: 69.711 MB
% 0.20/0.49 % Net memory used: 69.670 MB
%------------------------------------------------------------------------------