%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR027+4 : 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 12:12:53 PM UTC 2026
% Result : Theorem 92.59s 27.99s
% Output : CNFRefutation 62.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 12 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 67 ( 29 ~; 24 |; 7 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 34 ( 32 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10886,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10929,axiom,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11449,axiom,
! [TERM] :
( ( isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
& mtvisible(c_tptp_member2610_mt) )
=> tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11450,axiom,
( mtvisible(c_tptp_member2610_mt)
=> relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14126,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( relationallexists(PRED,INDEPCOL,DEPCOL)
& isa(TERM,INDEPCOL) )
=> isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37514,axiom,
! [X] :
( isa(X,c_tptpcol_16_31868)
=> tptpcol_16_31868(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44208,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44217,conjecture,
? [X] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptpcol_16_31868(X)
& tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44218,negated_conjecture,
~ ? [X] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptpcol_16_31868(X)
& tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X) ) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f57880,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(cnf_transformation,[status(thm)],[f10886]) ).
fof(f57933,plain,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(cnf_transformation,[status(thm)],[f10929]) ).
fof(f58585,plain,
! [TERM] :
( tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f11449]) ).
fof(f58586,plain,
! [X0] :
( tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(cnf_transformation,[status(thm)],[f58585]) ).
fof(f58587,plain,
( relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f11450]) ).
fof(f58588,plain,
( relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(cnf_transformation,[status(thm)],[f58587]) ).
fof(f61948,plain,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL)
| ~ isa(TERM,INDEPCOL) ),
inference(pre_NNF_transformation,[status(thm)],[f14126]) ).
fof(f61949,plain,
! [X0,X1,X2,X3] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f61948]) ).
fof(f97340,plain,
! [X] :
( tptpcol_16_31868(X)
| ~ isa(X,c_tptpcol_16_31868) ),
inference(pre_NNF_transformation,[status(thm)],[f37514]) ).
fof(f97341,plain,
! [X0] :
( tptpcol_16_31868(X0)
| ~ isa(X0,c_tptpcol_16_31868) ),
inference(cnf_transformation,[status(thm)],[f97340]) ).
fof(f110715,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(pre_NNF_transformation,[status(thm)],[f44208]) ).
fof(f110716,plain,
! [GENLMT] :
( mtvisible(GENLMT)
| ! [SPECMT] :
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) ),
inference(miniscoping,[status(thm)],[f110715]) ).
fof(f110717,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[status(thm)],[f110716]) ).
fof(f110738,plain,
! [X] :
( ( ~ tptpcol_16_31868(X)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X) )
& mtvisible(c_tptp_spindlecollectormt) ),
inference(pre_NNF_transformation,[status(thm)],[f44218]) ).
fof(f110739,plain,
( ! [X] :
( ~ tptpcol_16_31868(X)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X) )
& mtvisible(c_tptp_spindlecollectormt) ),
inference(miniscoping,[status(thm)],[f110738]) ).
fof(f110740,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[status(thm)],[f110739]) ).
fof(f110741,plain,
! [X0] :
( ~ tptpcol_16_31868(X0)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0) ),
inference(cnf_transformation,[status(thm)],[f110739]) ).
fof(f110889,plain,
( mtvisible(c_tptp_member2610_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) ),
inference(resolution,[status(thm)],[f57880,f110717]) ).
fof(f110890,plain,
mtvisible(c_tptp_member2610_mt),
inference(forward_subsumption_resolution,[status(thm)],[f110889,f110740]) ).
fof(f111118,plain,
relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),
inference(forward_subsumption_resolution,[status(thm)],[f58588,f110890]) ).
fof(f111119,plain,
! [X0,X1] :
( isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),X1),X1)
| ~ relationallexists(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),X1) ),
inference(resolution,[status(thm)],[f61949,f57933]) ).
fof(f111120,plain,
isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868),
inference(resolution,[status(thm)],[f111119,f111118]) ).
fof(f111122,plain,
tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),
inference(resolution,[status(thm)],[f111120,f97341]) ).
fof(f111126,plain,
! [X0] :
( tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(forward_subsumption_resolution,[status(thm)],[f58586,f110890]) ).
fof(f111127,plain,
tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),
inference(resolution,[status(thm)],[f111126,f57933]) ).
fof(f111128,plain,
~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),
inference(resolution,[status(thm)],[f111127,f110741]) ).
fof(f111131,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f111128,f111122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR027+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/15.36 % Computer : n004.cluster.edu
% 0.08/15.36 % Model : x86_64 x86_64
% 0.08/15.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/15.36 % Memory : 8046.5625MB
% 0.08/15.36 % OS : Linux 6.8.0-71-generic
% 0.08/15.36 % CPULimit : 300
% 0.08/15.36 % WCLimit : 300
% 0.08/15.36 % DateTime : Mon Sep 21 14:25:05 UTC 2026
% 0.08/15.36 % CPUTime :
% 1.04/16.34 % Drodi V4.1.1
% 92.59/27.99 % Refutation found
% 92.59/27.99 % SZS status Theorem for theBenchmark: Theorem is valid
% 92.59/27.99 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.67/28.42 % Elapsed time: 13.007685 seconds
% 3.67/28.42 % CPU time: 94.291810 seconds
% 3.67/28.42 % Total memory used: 2.071 GB
% 3.67/28.42 % Net memory used: 2.065 GB
%------------------------------------------------------------------------------