%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR068+3 : 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 12:13:23 PM UTC 2026
% Result : Theorem 0.24s 0.60s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 43 ( 20 ~; 16 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f385,axiom,
furpelt(c_theprototypicalfurpelt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1436,axiom,
! [INS] :
( ( furpelt(INS)
& mtvisible(c_tptp_spindleheadmt) )
=> tptpofobject(INS,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1607,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7997,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8006,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8007,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8526,plain,
furpelt(c_theprototypicalfurpelt),
inference(cnf_transformation,[status(thm)],[f385]) ).
fof(f10019,plain,
! [INS] :
( tptpofobject(INS,f_tptpquantityfn_1(n_328))
| ~ furpelt(INS)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(pre_NNF_transformation,[status(thm)],[f1436]) ).
fof(f10020,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ furpelt(X0)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(cnf_transformation,[status(thm)],[f10019]) ).
fof(f10264,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[status(thm)],[f1607]) ).
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_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
& mtvisible(c_tptp_member2356_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f8007]) ).
fof(f21392,plain,
mtvisible(c_tptp_member2356_mt),
inference(cnf_transformation,[status(thm)],[f21391]) ).
fof(f21393,plain,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(cnf_transformation,[status(thm)],[f21391]) ).
fof(f21394,plain,
! [X0,X1] :
( tptpofobject(X1,f_tptpquantityfn_1(n_328))
| ~ furpelt(X1)
| ~ genlmt(X0,c_tptp_spindleheadmt)
| ~ mtvisible(X0) ),
inference(resolution,[status(thm)],[f21370,f10020]) ).
fof(f21395,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ furpelt(X0)
| ~ mtvisible(c_tptp_member2356_mt) ),
inference(resolution,[status(thm)],[f21394,f10264]) ).
fof(f21396,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ furpelt(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f21395,f21392]) ).
fof(f21397,plain,
~ furpelt(c_theprototypicalfurpelt),
inference(resolution,[status(thm)],[f21396,f21393]) ).
fof(f21398,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f21397,f8526]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR068+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 14:45:31 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.48 % Drodi V4.1.1
% 0.24/0.60 % Refutation found
% 0.24/0.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.24/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.33/0.66 % Elapsed time: 0.285293 seconds
% 0.33/0.66 % CPU time: 0.862283 seconds
% 0.33/0.66 % Total memory used: 384.441 MB
% 0.33/0.66 % Net memory used: 383.784 MB
%------------------------------------------------------------------------------