%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR027+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 07:06:36 AM UTC 2026
% Result : Theorem 243.57s 190.64s
% Output : CNFRefutation 243.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 15 ~; 12 |; 5 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 23 ( 0 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax5_681365,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( relationallexists(PRED,INDEPCOL,DEPCOL)
& isa(TERM,INDEPCOL) )
=> isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
file('theBenchmark.p',ax5_681365) ).
fof(ax5_703115,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',ax5_703115) ).
fof(ax5_703116,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',ax5_703116) ).
fof(ax5_3200498,axiom,
! [X] :
( isa(X,c_tptpcol_16_31868)
=> tptpcol_16_31868(X) ),
file('theBenchmark.p',ax5_3200498) ).
fof(ax5_3342125,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax5_3342125) ).
fof(query277,conjecture,
? [X] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptpcol_16_31868(X)
& tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X) ) ),
file('theBenchmark.p',query277) ).
fof(query277_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)],[query277]) ).
fof(ax5_272919,axiom,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
file('theBenchmark.p',ax5_272919) ).
cnf(c_2195,plain,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(clausify,[status(thm)],[ax5_272919]) ).
fof(ax5_632847,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
file('theBenchmark.p',ax5_632847) ).
cnf(c_2214,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(clausify,[status(thm)],[ax5_632847]) ).
cnf(c_2215,plain,
( isa(f_relationallexistsfn(A,C,B,D),D)
| ~ relationallexists(C,B,D)
| ~ isa(A,B) ),
inference(clausify,[status(thm)],[ax5_681365]) ).
cnf(c_2219,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)],[ax5_703115]) ).
cnf(c_2220,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)],[ax5_703116]) ).
cnf(c_2319,plain,
( tptpcol_16_31868(A)
| ~ isa(A,c_tptpcol_16_31868) ),
inference(clausify,[status(thm)],[ax5_3200498]) ).
cnf(c_2329,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax5_3342125]) ).
cnf(c_2333,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(clausify,[status(thm)],[query277_neg]) ).
cnf(c_2334,negated_conjecture,
( ~ tptpcol_16_31868(A)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,A) ),
inference(clausify,[status(thm)],[query277_neg]) ).
cnf(c_3345,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_spindlecollectormt,A) ),
inference(resolve,[status(thm)],[c_2329,c_2333]) ).
cnf(c_2909,negated_conjecture,
mtvisible(c_tptp_member2610_mt),
inference(resolve,[status(thm)],[c_3345,c_2214]) ).
cnf(c_2917,plain,
relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),
inference(resolve,[status(thm)],[c_2909,c_2220]) ).
cnf(c_2918,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)) ),
inference(resolve,[status(thm)],[c_2909,c_2219]) ).
cnf(c_3346,plain,
( isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,A,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),B),B)
| ~ relationallexists(A,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),B) ),
inference(resolve,[status(thm)],[c_2215,c_2195]) ).
cnf(c_3085,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(resolve,[status(thm)],[c_3346,c_2917]) ).
cnf(c_3087,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(resolve,[status(thm)],[c_2918,c_2195]) ).
cnf(c_3306,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(resolve,[status(thm)],[c_2319,c_3085]) ).
cnf(c_3347,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)),
inference(resolve,[status(thm)],[c_2334,c_3087]) ).
cnf(c_3344,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_3306,c_3347]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR027+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.38 % Computer : n014.cluster.edu
% 0.08/0.38 % Model : x86_64 x86_64
% 0.08/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.38 % Memory : 8046.5625MB
% 0.08/0.38 % OS : Linux 6.8.0-71-generic
% 0.08/0.38 % CPULimit : 300
% 0.08/0.38 % WCLimit : 300
% 0.08/0.38 % DateTime : Sat Sep 26 23:58:14 UTC 2026
% 0.08/0.38 % CPUTime :
% 0.08/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.38 % Process 193427 was started by sandbox2 on n014,
% 0.08/0.38 % Sat Sep 26 23:58:14 2026
% 0.08/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 243.57/190.64
% 243.57/190.64 % SInE (scan): 1293 to sos (tol 1.5x), 350 to usable (tol 2.0x), 3340334 zapped, of 3341977 axioms (depth 3).
% 243.57/190.64
% 243.57/190.64 % From the command line: assign(max_seconds, 300).
% 243.57/190.64
% 243.57/190.64 % given #500 (T,wt=25): 2726 tptp_6_9(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_9_393,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_15_25901)). [hyper(2193,a,2705,a)].
% 243.57/190.64
% 243.57/190.64 % given #1000 (W,wt=7): 3234 -individual(c_tptpcol_15_32224). [ur(1317,a,3227,a)].
% 243.57/190.64
% 243.57/190.64 % SZS status Theorem for theBenchmark
% 243.57/190.64
% 243.57/190.64 % Proof 1 at 4.09 (+ 3.29) seconds.
% 243.57/190.64 % Length of proof is 22.
% 243.57/190.64 % Level of proof is 6.
% 243.57/190.64 % Maximum clause weight is 124.000.
% 243.57/190.64 % Given clauses 1088.
% 243.57/190.64
% 243.57/190.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------