%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR044+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 : n020.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 07:06:48 AM UTC 2026
% Result : Theorem 0.19s 0.64s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 57 ( 25 ~; 19 |; 5 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 27 ( 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(just10,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',just10) ).
fof(just11,axiom,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
file('theBenchmark.p',just11) ).
fof(just31,axiom,
! [X] :
( isa(X,c_tptpcol_16_29490)
=> tptpcol_16_29490(X) ),
file('theBenchmark.p',just31) ).
fof(just34,axiom,
! [X] :
( executionbyfiringsquad(X)
=> isa(X,c_executionbyfiringsquad) ),
file('theBenchmark.p',just34) ).
fof(just48,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',just48) ).
fof(query44,conjecture,
? [X] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) ),
file('theBenchmark.p',query44) ).
fof(query44_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)],[query44]) ).
cnf(c_55,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(clausify,[status(thm)],[just11]) ).
cnf(c_56,plain,
( isa(f_relationallexistsfn(A,C,B,D),D)
| ~ relationallexists(C,B,D)
| ~ isa(A,B) ),
inference(clausify,[status(thm)],[just1]) ).
cnf(c_66,plain,
( isa(A,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(A) ),
inference(clausify,[status(thm)],[just34]) ).
fof(just12,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('theBenchmark.p',just12) ).
cnf(c_69,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(clausify,[status(thm)],[just12]) ).
cnf(c_70,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)],[just10]) ).
cnf(c_78,plain,
( tptpcol_16_29490(A)
| ~ isa(A,c_tptpcol_16_29490) ),
inference(clausify,[status(thm)],[just31]) ).
cnf(c_79,negated_conjecture,
( ~ tptpcol_16_29490(A)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,A) ),
inference(clausify,[status(thm)],[query44_neg]) ).
cnf(c_90,plain,
( tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt) ),
inference(resolve,[status(thm)],[c_70,c_69]) ).
cnf(c_91,plain,
isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
inference(resolve,[status(thm)],[c_69,c_66]) ).
fof(just8,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('theBenchmark.p',just8) ).
cnf(c_97,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(clausify,[status(thm)],[just8]) ).
fof(just9,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',just9) ).
cnf(c_98,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[just9]) ).
cnf(c_106,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[just48]) ).
cnf(c_109,negated_conjecture,
mtvisible(c_tptp_member3633_mt),
inference(clausify,[status(thm)],[query44_neg]) ).
cnf(c_110,plain,
( isa(f_relationallexistsfn(A,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
| ~ isa(A,c_executionbyfiringsquad)
| ~ mtvisible(c_cyclistsmt) ),
inference(resolve,[status(thm)],[c_55,c_56]) ).
cnf(c_114,negated_conjecture,
( ~ isa(A,c_tptpcol_16_29490)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,A) ),
inference(resolve,[status(thm)],[c_79,c_78]) ).
cnf(c_158,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_member3633_mt,A) ),
inference(resolve,[status(thm)],[c_106,c_109]) ).
cnf(c_132,negated_conjecture,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_158,c_98]) ).
cnf(c_139,plain,
( ~ isa(A,c_executionbyfiringsquad)
| ~ mtvisible(c_cyclistsmt)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(A,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(resolve,[status(thm)],[c_114,c_110]) ).
cnf(c_159,plain,
( mtvisible(A)
| ~ genlmt(c_tptp_spindleheadmt,A) ),
inference(resolve,[status(thm)],[c_106,c_132]) ).
cnf(c_140,plain,
mtvisible(c_cyclistsmt),
inference(resolve,[status(thm)],[c_159,c_97]) ).
cnf(c_141,plain,
( ~ isa(A,c_executionbyfiringsquad)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(A,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(resolve,[status(thm)],[c_140,c_139]) ).
cnf(c_146,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_140,c_90]) ).
cnf(c_160,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_141,c_91]) ).
cnf(c_157,plain,
$false,
inference(resolve,[status(thm)],[c_146,c_160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR044+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.60 % Computer : n020.cluster.edu
% 0.19/0.60 % Model : x86_64 x86_64
% 0.19/0.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.60 % Memory : 8046.5625MB
% 0.19/0.60 % OS : Linux 6.8.0-71-generic
% 0.19/0.60 % CPULimit : 300
% 0.19/0.60 % WCLimit : 300
% 0.19/0.60 % DateTime : Sun Sep 27 00:14:19 UTC 2026
% 0.19/0.61 % CPUTime :
% 0.19/0.61 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/0.61 % Process 2845604 was started by sandbox2 on n020,
% 0.19/0.61 % Sun Sep 27 00:14:19 2026
% 0.19/0.61 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.19/0.62
% 0.19/0.62 % From the command line: assign(max_seconds, 300).
% 0.19/0.64
% 0.19/0.64 % SZS status Theorem for theBenchmark
% 0.19/0.64
% 0.19/0.64 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.19/0.64 % Length of proof is 28.
% 0.19/0.64 % Level of proof is 5.
% 0.19/0.64 % Maximum clause weight is 16.000.
% 0.19/0.64 % Given clauses 55.
% 0.19/0.64
% 0.19/0.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------