%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR071+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 : n002.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 07:07:07 AM UTC 2026
% Result : Theorem 0.12s 0.42s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 10 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 16 ~; 12 |; 2 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 10 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(just2,axiom,
! [OBJ] :
( navypersonnel(OBJ)
=> militaryperson(OBJ) ),
file('theBenchmark.p',just2) ).
fof(just13,axiom,
! [INS] :
( ( militaryperson(INS)
& mtvisible(c_tptp_member698_mt) )
=> tptpofobject(INS,f_tptpquantityfn_6(n_414)) ),
file('theBenchmark.p',just13) ).
fof(just15,axiom,
( mtvisible(c_tptp_member1672_mt)
=> navypersonnel(c_tptpnavypersonnel_3) ),
file('theBenchmark.p',just15) ).
fof(just50,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',just50) ).
fof(query71,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414)) ),
file('theBenchmark.p',query71) ).
fof(query71_neg,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414)) ),
inference(assume_negation,[status(cth)],[query71]) ).
cnf(c_60,plain,
( navypersonnel(c_tptpnavypersonnel_3)
| ~ mtvisible(c_tptp_member1672_mt) ),
inference(clausify,[status(thm)],[just15]) ).
cnf(c_61,plain,
( militaryperson(A)
| ~ navypersonnel(A) ),
inference(clausify,[status(thm)],[just2]) ).
cnf(c_65,plain,
( militaryperson(c_tptpnavypersonnel_3)
| ~ mtvisible(c_tptp_member1672_mt) ),
inference(resolve,[status(thm)],[c_60,c_61]) ).
cnf(c_68,plain,
( tptpofobject(A,f_tptpquantityfn_6(n_414))
| ~ militaryperson(A)
| ~ mtvisible(c_tptp_member698_mt) ),
inference(clausify,[status(thm)],[just13]) ).
cnf(c_75,negated_conjecture,
~ tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414)),
inference(clausify,[status(thm)],[query71_neg]) ).
cnf(c_76,plain,
( ~ mtvisible(c_tptp_member1672_mt)
| tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414))
| ~ mtvisible(c_tptp_member698_mt) ),
inference(resolve,[status(thm)],[c_68,c_65]) ).
cnf(c_116,negated_conjecture,
( ~ mtvisible(c_tptp_member1672_mt)
| ~ mtvisible(c_tptp_member698_mt) ),
inference(resolve,[status(thm)],[c_76,c_75]) ).
fof(just9,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member698_mt),
file('theBenchmark.p',just9) ).
cnf(c_126,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member698_mt),
inference(clausify,[status(thm)],[just9]) ).
fof(just10,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member1672_mt),
file('theBenchmark.p',just10) ).
cnf(c_127,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member1672_mt),
inference(clausify,[status(thm)],[just10]) ).
cnf(c_140,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[just50]) ).
cnf(c_144,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(clausify,[status(thm)],[query71_neg]) ).
cnf(c_186,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_spindlecollectormt,A) ),
inference(resolve,[status(thm)],[c_140,c_144]) ).
cnf(c_178,negated_conjecture,
mtvisible(c_tptp_member1672_mt),
inference(resolve,[status(thm)],[c_186,c_127]) ).
cnf(c_187,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_spindlecollectormt,A) ),
inference(resolve,[status(thm)],[c_140,c_144]) ).
cnf(c_179,negated_conjecture,
mtvisible(c_tptp_member698_mt),
inference(resolve,[status(thm)],[c_187,c_126]) ).
cnf(c_188,negated_conjecture,
~ mtvisible(c_tptp_member1672_mt),
inference(resolve,[status(thm)],[c_179,c_116]) ).
cnf(c_185,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_178,c_188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR071+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.39 % Computer : n002.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 00:39:22 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.40 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.40 % Process 3004851 was started by sandbox2 on n002,
% 0.12/0.40 % Sun Sep 27 00:39:22 2026
% 0.12/0.40 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/0.41
% 0.12/0.41 % From the command line: assign(max_seconds, 300).
% 0.12/0.42
% 0.12/0.42 % SZS status Theorem for theBenchmark
% 0.12/0.42
% 0.12/0.42 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.12/0.42 % Length of proof is 19.
% 0.12/0.42 % Level of proof is 5.
% 0.12/0.42 % Maximum clause weight is 7.000.
% 0.12/0.42 % Given clauses 40.
% 0.12/0.42
% 0.12/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------