%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR026+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 : n026.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 0.41s 0.92s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 16 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 21 ~; 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 : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f723,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f923,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1317,axiom,
( mtvisible(c_cyclistsmt)
=> runningshorts(c_tptprunningshorts) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1645,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1907,axiom,
! [INS] :
( ( runningshorts(INS)
& mtvisible(c_tptp_member2701_mt) )
=> tptpofobject(INS,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4288,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
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_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8007,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f9002,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[status(thm)],[f723]) ).
fof(f9299,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(cnf_transformation,[status(thm)],[f923]) ).
fof(f9855,plain,
( runningshorts(c_tptprunningshorts)
| ~ mtvisible(c_cyclistsmt) ),
inference(pre_NNF_transformation,[status(thm)],[f1317]) ).
fof(f9856,plain,
( runningshorts(c_tptprunningshorts)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[status(thm)],[f9855]) ).
fof(f10314,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
inference(cnf_transformation,[status(thm)],[f1645]) ).
fof(f10680,plain,
! [INS] :
( tptpofobject(INS,f_tptpquantityfn_2(n_756))
| ~ runningshorts(INS)
| ~ mtvisible(c_tptp_member2701_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f1907]) ).
fof(f10681,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ runningshorts(X0)
| ~ mtvisible(c_tptp_member2701_mt) ),
inference(cnf_transformation,[status(thm)],[f10680]) ).
fof(f14003,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[status(thm)],[f4288]) ).
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_tptprunningshorts,f_tptpquantityfn_2(n_756))
& mtvisible(c_tptp_spindlecollectormt) ),
inference(pre_NNF_transformation,[status(thm)],[f8007]) ).
fof(f21392,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[status(thm)],[f21391]) ).
fof(f21393,plain,
~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)),
inference(cnf_transformation,[status(thm)],[f21391]) ).
fof(f21394,plain,
! [X0] :
( mtvisible(X0)
| ~ genlmt(c_tptp_spindlecollectormt,X0) ),
inference(resolution,[status(thm)],[f21370,f21392]) ).
fof(f21446,plain,
mtvisible(c_tptp_member3993_mt),
inference(resolution,[status(thm)],[f9299,f21394]) ).
fof(f21447,plain,
! [X0] :
( mtvisible(X0)
| ~ genlmt(c_tptp_member3993_mt,X0) ),
inference(resolution,[status(thm)],[f21446,f21370]) ).
fof(f21448,plain,
mtvisible(c_tptp_spindleheadmt),
inference(resolution,[status(thm)],[f21447,f9002]) ).
fof(f21477,plain,
! [X0] :
( mtvisible(X0)
| ~ genlmt(c_tptp_spindleheadmt,X0) ),
inference(resolution,[status(thm)],[f21448,f21370]) ).
fof(f21508,plain,
mtvisible(c_tptp_member2701_mt),
inference(resolution,[status(thm)],[f10314,f21394]) ).
fof(f21510,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ runningshorts(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f10681,f21508]) ).
fof(f21511,plain,
( ~ mtvisible(c_cyclistsmt)
| tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
inference(resolution,[status(thm)],[f21510,f9856]) ).
fof(f21512,plain,
~ mtvisible(c_cyclistsmt),
inference(forward_subsumption_resolution,[status(thm)],[f21511,f21393]) ).
fof(f21708,plain,
mtvisible(c_cyclistsmt),
inference(resolution,[status(thm)],[f14003,f21477]) ).
fof(f21709,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f21708,f21512]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR026+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 14:27:22 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.24/0.53 % Drodi V4.1.1
% 0.41/0.92 % Refutation found
% 0.41/0.92 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.41/0.92 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.17/2.18 % Elapsed time: 1.589647 seconds
% 4.17/2.18 % CPU time: 3.322688 seconds
% 4.17/2.18 % Total memory used: 414.092 MB
% 4.17/2.18 % Net memory used: 413.208 MB
%------------------------------------------------------------------------------