%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR068+1 : 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 12:13:22 PM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% 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 : 35 ( 16 ~; 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 : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
furpelt(c_theprototypicalfurpelt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [INS] :
( ( furpelt(INS)
& mtvisible(c_tptp_spindleheadmt) )
=> tptpofobject(INS,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f64,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f65,plain,
furpelt(c_theprototypicalfurpelt),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f66,plain,
! [INS] :
( tptpofobject(INS,f_tptpquantityfn_1(n_328))
| ~ furpelt(INS)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f67,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ furpelt(X0)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f163,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(pre_NNF_transformation,[status(thm)],[f47]) ).
fof(f164,plain,
! [GENLMT] :
( mtvisible(GENLMT)
| ! [SPECMT] :
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) ),
inference(miniscoping,[status(thm)],[f163]) ).
fof(f165,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f186,plain,
( ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
& mtvisible(c_tptp_member2356_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f57]) ).
fof(f187,plain,
mtvisible(c_tptp_member2356_mt),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f188,plain,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f189,plain,
! [X0] :
( mtvisible(X0)
| ~ genlmt(c_tptp_member2356_mt,X0) ),
inference(resolution,[status(thm)],[f165,f187]) ).
fof(f190,plain,
mtvisible(c_tptp_spindleheadmt),
inference(resolution,[status(thm)],[f189,f64]) ).
fof(f191,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ furpelt(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f67,f190]) ).
fof(f193,plain,
~ furpelt(c_theprototypicalfurpelt),
inference(resolution,[status(thm)],[f191,f188]) ).
fof(f194,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f193,f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR068+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 14:43:22 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.42 % Elapsed time: 0.055091 seconds
% 0.12/0.42 % CPU time: 0.144539 seconds
% 0.12/0.42 % Total memory used: 56.970 MB
% 0.12/0.42 % Net memory used: 56.959 MB
%------------------------------------------------------------------------------