%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR027+3 : 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 : n012.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 0.04s 0.42s
% Output : CNFRefutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 11 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 27 ~; 17 |; 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 : 21 ( 0 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax2_406,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',ax2_406) ).
fof(ax2_407,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',ax2_407) ).
fof(ax2_2981,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( relationallexists(PRED,INDEPCOL,DEPCOL)
& isa(TERM,INDEPCOL) )
=> isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
file('theBenchmark.p',ax2_2981) ).
fof(ax2_7347,axiom,
! [X] :
( isa(X,c_tptpcol_16_31868)
=> tptpcol_16_31868(X) ),
file('theBenchmark.p',ax2_7347) ).
fof(ax2_7997,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax2_7997) ).
fof(query127,conjecture,
? [X] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptpcol_16_31868(X)
& tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X) ) ),
file('theBenchmark.p',query127) ).
fof(query127_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)],[query127]) ).
cnf(c_174,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)],[ax2_406]) ).
cnf(c_175,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)],[ax2_407]) ).
fof(ax2_1377,axiom,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
file('theBenchmark.p',ax2_1377) ).
cnf(c_178,plain,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(clausify,[status(thm)],[ax2_1377]) ).
fof(ax2_1808,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
file('theBenchmark.p',ax2_1808) ).
cnf(c_180,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(clausify,[status(thm)],[ax2_1808]) ).
cnf(c_182,plain,
( isa(f_relationallexistsfn(A,C,B,D),D)
| ~ relationallexists(C,B,D)
| ~ isa(A,B) ),
inference(clausify,[status(thm)],[ax2_2981]) ).
cnf(c_191,plain,
( tptpcol_16_31868(A)
| ~ isa(A,c_tptpcol_16_31868) ),
inference(clausify,[status(thm)],[ax2_7347]) ).
cnf(c_198,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax2_7997]) ).
cnf(c_200,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(clausify,[status(thm)],[query127_neg]) ).
cnf(c_201,negated_conjecture,
( ~ tptpcol_16_31868(A)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,A) ),
inference(clausify,[status(thm)],[query127_neg]) ).
cnf(c_246,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_174,c_201]) ).
cnf(c_205,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))
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(resolve,[status(thm)],[c_178,c_246]) ).
cnf(c_209,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))
| ~ genlmt(A,c_tptp_member2610_mt)
| ~ mtvisible(A) ),
inference(resolve,[status(thm)],[c_198,c_205]) ).
cnf(c_247,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))
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) ),
inference(resolve,[status(thm)],[c_209,c_200]) ).
cnf(c_215,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_180,c_247]) ).
cnf(c_216,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_215,c_191]) ).
cnf(c_248,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_spindlecollectormt,A) ),
inference(resolve,[status(thm)],[c_198,c_200]) ).
cnf(c_221,negated_conjecture,
mtvisible(c_tptp_member2610_mt),
inference(resolve,[status(thm)],[c_248,c_180]) ).
cnf(c_222,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_221,c_175]) ).
cnf(c_249,plain,
( ~ relationallexists(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)) ),
inference(resolve,[status(thm)],[c_182,c_216]) ).
cnf(c_250,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_178,c_249]) ).
cnf(c_245,plain,
$false,
inference(resolve,[status(thm)],[c_222,c_250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR027+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.35 % Computer : n012.cluster.edu
% 0.04/0.35 % Model : x86_64 x86_64
% 0.04/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.35 % Memory : 8046.5625MB
% 0.04/0.35 % OS : Linux 6.8.0-71-generic
% 0.04/0.35 % CPULimit : 300
% 0.04/0.35 % WCLimit : 300
% 0.04/0.35 % DateTime : Sat Sep 26 23:57:19 UTC 2026
% 0.04/0.36 % CPUTime :
% 0.04/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.04/0.36 % Process 1789903 was started by sandbox2 on n012,
% 0.04/0.36 % Sat Sep 26 23:57:19 2026
% 0.04/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.04/0.42
% 0.04/0.42 % SInE (scan): 90 to sos (tol 1.5x), 22 to usable (tol 2.0x), 7893 zapped, of 8005 axioms (depth 3).
% 0.04/0.42
% 0.04/0.42 % From the command line: assign(max_seconds, 300).
% 0.04/0.42
% 0.04/0.42 % SZS status Theorem for theBenchmark
% 0.04/0.42
% 0.04/0.42 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.04/0.42 % Length of proof is 22.
% 0.04/0.42 % Level of proof is 6.
% 0.04/0.42 % Maximum clause weight is 114.000.
% 0.04/0.42 % Given clauses 54.
% 0.04/0.42
% 0.04/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------