%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR027+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /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 : Sun Sep 27 07:06:35 AM UTC 2026
% Result : Theorem 0.10s 0.44s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 10 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 58 ( 26 ~; 19 |; 5 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 24 ( 0 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(just1,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( relationallexists(PRED,INDEPCOL,DEPCOL)
& isa(TERM,INDEPCOL) )
=> isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
file('theBenchmark.p',just1) ).
fof(just12,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('theBenchmark.p',just12) ).
fof(just13,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('theBenchmark.p',just13) ).
fof(just34,axiom,
! [X] :
( isa(X,c_tptpcol_16_31868)
=> tptpcol_16_31868(X) ),
file('theBenchmark.p',just34) ).
fof(just49,axiom,
! [X] :
( subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(X)
=> isa(X,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
file('theBenchmark.p',just49) ).
fof(just63,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',just63) ).
fof(query27,conjecture,
? [X] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptpcol_16_31868(X)
& tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X) ) ),
file('theBenchmark.p',query27) ).
fof(query27_neg,negated_conjecture,
~ ? [X] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptpcol_16_31868(X)
& tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X) ) ),
inference(assume_negation,[status(cth)],[query27]) ).
cnf(c_67,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(clausify,[status(thm)],[just13]) ).
cnf(c_68,plain,
( isa(f_relationallexistsfn(A,C,B,D),D)
| ~ relationallexists(C,B,D)
| ~ isa(A,B) ),
inference(clausify,[status(thm)],[just1]) ).
cnf(c_78,plain,
( tptp_8_875(A,f_relationallexistsfn(A,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(A,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(clausify,[status(thm)],[just12]) ).
cnf(c_81,negated_conjecture,
( ~ tptpcol_16_31868(A)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,A) ),
inference(clausify,[status(thm)],[query27_neg]) ).
cnf(c_82,plain,
( isa(A,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(A) ),
inference(clausify,[status(thm)],[just49]) ).
fof(just15,axiom,
subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786),
file('theBenchmark.p',just15) ).
cnf(c_84,plain,
subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786),
inference(clausify,[status(thm)],[just15]) ).
cnf(c_92,plain,
( tptpcol_16_31868(A)
| ~ isa(A,c_tptpcol_16_31868) ),
inference(clausify,[status(thm)],[just34]) ).
cnf(c_94,negated_conjecture,
( ~ 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))
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(resolve,[status(thm)],[c_78,c_81]) ).
cnf(c_109,plain,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(resolve,[status(thm)],[c_82,c_84]) ).
cnf(c_111,plain,
( isa(f_relationallexistsfn(A,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868)
| ~ isa(A,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(resolve,[status(thm)],[c_67,c_68]) ).
cnf(c_112,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(clausify,[status(thm)],[query27_neg]) ).
cnf(c_115,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[just63]) ).
fof(just9,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
file('theBenchmark.p',just9) ).
cnf(c_125,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(clausify,[status(thm)],[just9]) ).
cnf(c_133,negated_conjecture,
( ~ 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)
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(resolve,[status(thm)],[c_94,c_92]) ).
cnf(c_134,negated_conjecture,
( ~ 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)
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(resolve,[status(thm)],[c_109,c_133]) ).
cnf(c_174,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_spindlecollectormt,A) ),
inference(resolve,[status(thm)],[c_115,c_112]) ).
cnf(c_148,negated_conjecture,
mtvisible(c_tptp_member2610_mt),
inference(resolve,[status(thm)],[c_174,c_125]) ).
cnf(c_152,negated_conjecture,
~ 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(resolve,[status(thm)],[c_148,c_134]) ).
cnf(c_153,plain,
( isa(f_relationallexistsfn(A,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868)
| ~ isa(A,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(resolve,[status(thm)],[c_148,c_111]) ).
cnf(c_175,negated_conjecture,
~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(resolve,[status(thm)],[c_153,c_152]) ).
cnf(c_173,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_109,c_175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR027+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.40 % Computer : n003.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Sat Sep 26 23:59:24 UTC 2026
% 0.10/0.41 % CPUTime :
% 0.10/0.41 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.41 % Process 4096671 was started by sandbox2 on n003,
% 0.10/0.41 % Sat Sep 26 23:59:24 2026
% 0.10/0.41 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.42
% 0.10/0.42 % From the command line: assign(max_seconds, 300).
% 0.10/0.44
% 0.10/0.44 % SZS status Theorem for theBenchmark
% 0.10/0.44
% 0.10/0.44 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.10/0.44 % Length of proof is 26.
% 0.10/0.44 % Level of proof is 6.
% 0.10/0.44 % Maximum clause weight is 18.000.
% 0.10/0.44 % Given clauses 51.
% 0.10/0.44
% 0.10/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------