%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR026+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 : n009.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 12:12:52 PM UTC 2026
% Result : Theorem 0.15s 0.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 17 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 25 ~; 17 |; 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 : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f163,axiom,
( mtvisible(c_cyclistsmt)
=> runningshorts(c_tptprunningshorts) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f254,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f315,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f344,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f364,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f440,axiom,
! [INS] :
( ( runningshorts(INS)
& mtvisible(c_tptp_member2701_mt) )
=> tptpofobject(INS,f_tptpquantityfn_2(n_756)) ),
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_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1370,plain,
( runningshorts(c_tptprunningshorts)
| ~ mtvisible(c_cyclistsmt) ),
inference(pre_NNF_transformation,[status(thm)],[f163]) ).
fof(f1371,plain,
( runningshorts(c_tptprunningshorts)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[status(thm)],[f1370]) ).
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(f1635,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
inference(cnf_transformation,[status(thm)],[f344]) ).
fof(f1665,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(cnf_transformation,[status(thm)],[f364]) ).
fof(f1775,plain,
! [INS] :
( tptpofobject(INS,f_tptpquantityfn_2(n_756))
| ~ runningshorts(INS)
| ~ mtvisible(c_tptp_member2701_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f440]) ).
fof(f1776,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ runningshorts(X0)
| ~ mtvisible(c_tptp_member2701_mt) ),
inference(cnf_transformation,[status(thm)],[f1775]) ).
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_tptprunningshorts,f_tptpquantityfn_2(n_756))
& 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_tptprunningshorts,f_tptpquantityfn_2(n_756)),
inference(cnf_transformation,[status(thm)],[f3204]) ).
fof(f3207,plain,
( ~ runningshorts(c_tptprunningshorts)
| ~ mtvisible(c_tptp_member2701_mt) ),
inference(resolution,[status(thm)],[f1776,f3206]) ).
fof(f3263,plain,
( mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[status(thm)],[f1504,f3183]) ).
fof(f3377,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3993_mt) ),
inference(resolution,[status(thm)],[f1596,f3183]) ).
fof(f3392,plain,
( mtvisible(c_tptp_member2701_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) ),
inference(resolution,[status(thm)],[f1635,f3183]) ).
fof(f3393,plain,
mtvisible(c_tptp_member2701_mt),
inference(forward_subsumption_resolution,[status(thm)],[f3392,f3205]) ).
fof(f3395,plain,
~ runningshorts(c_tptprunningshorts),
inference(backward_subsumption_resolution,[status(thm)],[f3207,f3393]) ).
fof(f3397,plain,
~ mtvisible(c_cyclistsmt),
inference(backward_subsumption_resolution,[status(thm)],[f1371,f3395]) ).
fof(f3398,plain,
~ mtvisible(c_tptp_spindleheadmt),
inference(backward_subsumption_resolution,[status(thm)],[f3263,f3397]) ).
fof(f3399,plain,
~ mtvisible(c_tptp_member3993_mt),
inference(backward_subsumption_resolution,[status(thm)],[f3377,f3398]) ).
fof(f3424,plain,
( mtvisible(c_tptp_member3993_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) ),
inference(resolution,[status(thm)],[f1665,f3183]) ).
fof(f3425,plain,
mtvisible(c_tptp_member3993_mt),
inference(forward_subsumption_resolution,[status(thm)],[f3424,f3205]) ).
fof(f3426,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3425,f3399]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR026+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 14:24:42 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.15/0.39 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.42/0.46 % Elapsed time: 0.080294 seconds
% 0.42/0.46 % CPU time: 0.202141 seconds
% 0.42/0.46 % Total memory used: 88.988 MB
% 0.42/0.46 % Net memory used: 88.931 MB
%------------------------------------------------------------------------------