%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR044+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 : n011.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 07:06:49 AM UTC 2026
% Result : Theorem 282.80s 182.21s
% Output : CNFRefutation 282.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 16 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 17 ~; 14 |; 5 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 26 ( 0 sgn 9 !; 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_1735706,axiom,
! [TERM] :
( ( executionbyfiringsquad(TERM)
& mtvisible(c_cyclistsmt) )
=> tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
file('theBenchmark.p',ax5_1735706) ).
fof(ax5_1735707,axiom,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
file('theBenchmark.p',ax5_1735707) ).
fof(ax5_2945499,axiom,
! [X] :
( isa(X,c_tptpcol_16_29490)
=> tptpcol_16_29490(X) ),
file('theBenchmark.p',ax5_2945499) ).
fof(ax5_3311580,axiom,
! [X] :
( executionbyfiringsquad(X)
=> isa(X,c_executionbyfiringsquad) ),
file('theBenchmark.p',ax5_3311580) ).
fof(ax5_3342125,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax5_3342125) ).
fof(query294,conjecture,
? [X] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) ),
file('theBenchmark.p',query294) ).
fof(query294_neg,negated_conjecture,
~ ? [X] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) ),
inference(assume_negation,[status(cth)],[query294]) ).
fof(ax5_2035961,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('theBenchmark.p',ax5_2035961) ).
cnf(c_2628,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(clausify,[status(thm)],[ax5_2035961]) ).
cnf(c_3598,plain,
( isa(f_relationallexistsfn(A,C,B,D),D)
| ~ relationallexists(C,B,D)
| ~ isa(A,B) ),
inference(clausify,[status(thm)],[ax5_681365]) ).
fof(ax5_830759,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('theBenchmark.p',ax5_830759) ).
cnf(c_3607,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(clausify,[status(thm)],[ax5_830759]) ).
cnf(c_3662,plain,
( tptp_9_720(A,f_relationallexistsfn(A,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(A)
| ~ mtvisible(c_cyclistsmt) ),
inference(clausify,[status(thm)],[ax5_1735706]) ).
cnf(c_3663,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(clausify,[status(thm)],[ax5_1735707]) ).
fof(ax5_2727825,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',ax5_2727825) ).
cnf(c_3733,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[ax5_2727825]) ).
cnf(c_3747,plain,
( tptpcol_16_29490(A)
| ~ isa(A,c_tptpcol_16_29490) ),
inference(clausify,[status(thm)],[ax5_2945499]) ).
cnf(c_3760,plain,
( isa(A,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(A) ),
inference(clausify,[status(thm)],[ax5_3311580]) ).
cnf(c_3767,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax5_3342125]) ).
cnf(c_3771,negated_conjecture,
mtvisible(c_tptp_member3633_mt),
inference(clausify,[status(thm)],[query294_neg]) ).
cnf(c_3772,negated_conjecture,
( ~ tptpcol_16_29490(A)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,A) ),
inference(clausify,[status(thm)],[query294_neg]) ).
cnf(c_5065,plain,
isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
inference(resolve,[status(thm)],[c_3760,c_3607]) ).
cnf(c_6210,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_member3633_mt,A) ),
inference(resolve,[status(thm)],[c_3767,c_3771]) ).
cnf(c_5226,negated_conjecture,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_6210,c_3733]) ).
cnf(c_6211,plain,
( mtvisible(A)
| ~ genlmt(c_tptp_spindleheadmt,A) ),
inference(resolve,[status(thm)],[c_3767,c_5226]) ).
cnf(c_5269,plain,
mtvisible(c_cyclistsmt),
inference(resolve,[status(thm)],[c_6211,c_2628]) ).
cnf(c_5278,plain,
relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),
inference(resolve,[status(thm)],[c_5269,c_3663]) ).
cnf(c_5279,plain,
( tptp_9_720(A,f_relationallexistsfn(A,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(A) ),
inference(resolve,[status(thm)],[c_5269,c_3662]) ).
cnf(c_6212,plain,
( isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,A,c_executionbyfiringsquad,B),B)
| ~ relationallexists(A,c_executionbyfiringsquad,B) ),
inference(resolve,[status(thm)],[c_3598,c_5065]) ).
cnf(c_5831,plain,
isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490),
inference(resolve,[status(thm)],[c_6212,c_5278]) ).
cnf(c_6065,plain,
tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),
inference(resolve,[status(thm)],[c_5279,c_3607]) ).
cnf(c_6167,plain,
tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),
inference(resolve,[status(thm)],[c_3747,c_5831]) ).
cnf(c_6213,negated_conjecture,
~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),
inference(resolve,[status(thm)],[c_3772,c_6167]) ).
cnf(c_6209,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_6065,c_6213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR044+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 00:14:15 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.38 % Process 1851827 was started by sandbox2 on n011,
% 0.10/0.38 % Sun Sep 27 00:14:15 2026
% 0.10/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 282.80/182.21
% 282.80/182.21 % SInE (scan): 2265 to sos (tol 1.5x), 359 to usable (tol 2.0x), 3339353 zapped, of 3341977 axioms (depth 3).
% 282.80/182.21
% 282.80/182.21 % From the command line: assign(max_seconds, 300).
% 282.80/182.21
% 282.80/182.21 % given #500 (T,wt=103): 3616 genlmt(c_bookkeepingmt,c_basekb) # tptp_name(ax5_997045) # sine_depth(2) # clausal_fof(1). [assumption].
% 282.80/182.21
% 282.80/182.21 % given #1000 (W,wt=5): 4616 -disjointwith(A,f_urlfn(f_urlfn(s_http_tetidegeouniroma1itrivisteperminabstract04_2htm))). [ur(3522,b,4611,a)].
% 282.80/182.21
% 282.80/182.21 % given #1500 (T,wt=4): 4776 isa(f_urlfn(s_http_wwwrethinkingedorgukgeldof1htm),c_thing). [hyper(3423,a,4736,a)].
% 282.80/182.21
% 282.80/182.21 % given #2000 (F,wt=4): 5216 -isa(c_tptpcol_16_32218,f_residentfn(c_unitedarabemirates)). [ur(2748,b,5215,a)].
% 282.80/182.21
% 282.80/182.21 % given #2500 (A,wt=7): 5702 genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwgeocitiescomdr_b_goldsteinrabbi_meir_kahanehtm)),c_translation_2),c_unitedstatesgeographymt). [hyper(3768,a,2637,a,b,5554,a)].
% 282.80/182.21
% 282.80/182.21 % SZS status Theorem for theBenchmark
% 282.80/182.21
% 282.80/182.21 % Proof 1 at 8.80 (+ 5.89) seconds.
% 282.80/182.21 % Length of proof is 27.
% 282.80/182.21 % Level of proof is 7.
% 282.80/182.21 % Maximum clause weight is 114.000.
% 282.80/182.21 % Given clauses 2544.
% 282.80/182.21
% 282.80/182.21 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------