%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR044+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 16.24s 8.83s
% Output : CNFRefutation 16.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 11 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 68 ( 33 ~; 22 |; 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 : 22 ( 0 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax4_68393,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',ax4_68393) ).
fof(ax4_68394,axiom,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
file('theBenchmark.p',ax4_68394) ).
fof(ax4_462257,axiom,
! [X] :
( isa(X,c_tptpcol_16_29490)
=> tptpcol_16_29490(X) ),
file('theBenchmark.p',ax4_462257) ).
fof(ax4_537066,axiom,
! [X] :
( executionbyfiringsquad(X)
=> isa(X,c_executionbyfiringsquad) ),
file('theBenchmark.p',ax4_537066) ).
fof(ax4_540220,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax4_540220) ).
fof(ax4_267563,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( relationallexists(PRED,INDEPCOL,DEPCOL)
& isa(TERM,INDEPCOL) )
=> isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
file('theBenchmark.p',ax4_267563) ).
fof(query244,conjecture,
? [X] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) ),
file('theBenchmark.p',query244) ).
fof(query244_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)],[query244]) ).
cnf(c_44,plain,
( isa(f_relationallexistsfn(A,C,B,D),D)
| ~ relationallexists(C,B,D)
| ~ isa(A,B) ),
inference(clausify,[status(thm)],[ax4_267563]) ).
fof(ax4_28214,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',ax4_28214) ).
cnf(c_56,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[ax4_28214]) ).
cnf(c_57,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)],[ax4_68393]) ).
cnf(c_58,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(clausify,[status(thm)],[ax4_68394]) ).
fof(ax4_71548,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('theBenchmark.p',ax4_71548) ).
cnf(c_59,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(clausify,[status(thm)],[ax4_71548]) ).
fof(ax4_81496,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('theBenchmark.p',ax4_81496) ).
cnf(c_60,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(clausify,[status(thm)],[ax4_81496]) ).
cnf(c_66,plain,
( tptpcol_16_29490(A)
| ~ isa(A,c_tptpcol_16_29490) ),
inference(clausify,[status(thm)],[ax4_462257]) ).
cnf(c_69,plain,
( isa(A,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(A) ),
inference(clausify,[status(thm)],[ax4_537066]) ).
cnf(c_74,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax4_540220]) ).
cnf(c_77,negated_conjecture,
mtvisible(c_tptp_member3633_mt),
inference(clausify,[status(thm)],[query244_neg]) ).
cnf(c_78,negated_conjecture,
( ~ tptpcol_16_29490(A)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,A) ),
inference(clausify,[status(thm)],[query244_neg]) ).
cnf(c_79,plain,
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,A)
| ~ isa(A,c_tptpcol_16_29490) ),
inference(resolve,[status(thm)],[c_66,c_78]) ).
cnf(c_111,plain,
( ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| ~ mtvisible(c_cyclistsmt)
| ~ 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_79,c_57]) ).
cnf(c_83,plain,
( ~ mtvisible(c_cyclistsmt)
| ~ 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_60,c_111]) ).
cnf(c_84,plain,
( ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ mtvisible(c_cyclistsmt) ),
inference(resolve,[status(thm)],[c_83,c_44]) ).
cnf(c_112,plain,
( ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ mtvisible(c_cyclistsmt)
| ~ mtvisible(c_cyclistsmt) ),
inference(resolve,[status(thm)],[c_58,c_84]) ).
cnf(c_88,plain,
( ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ mtvisible(c_cyclistsmt) ),
inference(copy,[status(thm)],[c_112]) ).
cnf(c_113,plain,
( ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) ),
inference(resolve,[status(thm)],[c_69,c_88]) ).
cnf(c_104,plain,
~ mtvisible(c_cyclistsmt),
inference(resolve,[status(thm)],[c_60,c_113]) ).
cnf(c_114,plain,
( mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolve,[status(thm)],[c_74,c_59]) ).
cnf(c_109,plain,
~ mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_104,c_114]) ).
cnf(c_115,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3633_mt) ),
inference(resolve,[status(thm)],[c_74,c_56]) ).
cnf(c_116,negated_conjecture,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_77,c_115]) ).
cnf(c_110,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_109,c_116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR044+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 00:17:14 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.38 % Process 1085715 was started by sandbox2 on n015,
% 0.13/0.38 % Sun Sep 27 00:17:14 2026
% 0.13/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 16.24/8.83
% 16.24/8.83 % SInE (scan): 46 to sos (tol 1.5x), 2 to usable (tol 2.0x), 540201 zapped, of 540249 axioms (depth 3).
% 16.24/8.83
% 16.24/8.83 % From the command line: assign(max_seconds, 300).
% 16.24/8.83
% 16.24/8.83 % SZS status Theorem for theBenchmark
% 16.24/8.83
% 16.24/8.83 % Proof 1 at 0.65 (+ 0.62) seconds.
% 16.24/8.83 % Length of proof is 25.
% 16.24/8.83 % Level of proof is 8.
% 16.24/8.83 % Maximum clause weight is 121.000.
% 16.24/8.83 % Given clauses 42.
% 16.24/8.83
% 16.24/8.83 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------