%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR056+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/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 07:06:57 AM UTC 2026
% Result : Theorem 17.32s 9.16s
% Output : CNFRefutation 17.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 12 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 14 ~; 9 |; 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 : 12 ( 1 sgn 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax4_5517,axiom,
! [INS] :
( ( supplies(INS)
& mtvisible(c_tptp_member3717_mt) )
=> tptpofobject(INS,f_tptpquantityfn_17(n_385)) ),
file('theBenchmark.p',ax4_5517) ).
fof(ax4_211749,axiom,
( mtvisible(c_cyclistsmt)
=> artsupplies(c_tptpartsupplies) ),
file('theBenchmark.p',ax4_211749) ).
fof(ax4_267467,axiom,
! [OBJ] :
( artsupplies(OBJ)
=> supplies(OBJ) ),
file('theBenchmark.p',ax4_267467) ).
fof(ax4_540220,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax4_540220) ).
fof(query256,conjecture,
? [QUANTITY] :
( mtvisible(c_tptp_member3717_mt)
=> tptpofobject(c_tptpartsupplies,QUANTITY) ),
file('theBenchmark.p',query256) ).
fof(query256_neg,negated_conjecture,
~ ? [QUANTITY] :
( mtvisible(c_tptp_member3717_mt)
=> tptpofobject(c_tptpartsupplies,QUANTITY) ),
inference(assume_negation,[status(cth)],[query256]) ).
cnf(c_302,plain,
( tptpofobject(A,f_tptpquantityfn_17(n_385))
| ~ supplies(A)
| ~ mtvisible(c_tptp_member3717_mt) ),
inference(clausify,[status(thm)],[ax4_5517]) ).
fof(ax4_71548,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('theBenchmark.p',ax4_71548) ).
cnf(c_306,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(clausify,[status(thm)],[ax4_71548]) ).
fof(ax4_103057,axiom,
genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',ax4_103057) ).
cnf(c_308,plain,
genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[ax4_103057]) ).
cnf(c_313,plain,
( artsupplies(c_tptpartsupplies)
| ~ mtvisible(c_cyclistsmt) ),
inference(clausify,[status(thm)],[ax4_211749]) ).
cnf(c_317,plain,
( supplies(A)
| ~ artsupplies(A) ),
inference(clausify,[status(thm)],[ax4_267467]) ).
cnf(c_330,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax4_540220]) ).
cnf(c_333,negated_conjecture,
mtvisible(c_tptp_member3717_mt),
inference(clausify,[status(thm)],[query256_neg]) ).
cnf(c_334,negated_conjecture,
~ tptpofobject(c_tptpartsupplies,A),
inference(clausify,[status(thm)],[query256_neg]) ).
cnf(c_336,negated_conjecture,
( tptpofobject(A,f_tptpquantityfn_17(n_385))
| ~ supplies(A) ),
inference(resolve,[status(thm)],[c_333,c_302]) ).
cnf(c_393,negated_conjecture,
~ supplies(c_tptpartsupplies),
inference(resolve,[status(thm)],[c_336,c_334]) ).
cnf(c_394,plain,
~ artsupplies(c_tptpartsupplies),
inference(resolve,[status(thm)],[c_317,c_393]) ).
cnf(c_398,plain,
~ mtvisible(c_cyclistsmt),
inference(resolve,[status(thm)],[c_394,c_313]) ).
cnf(c_402,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3717_mt) ),
inference(resolve,[status(thm)],[c_330,c_308]) ).
cnf(c_400,negated_conjecture,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_333,c_402]) ).
cnf(c_403,plain,
( mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolve,[status(thm)],[c_330,c_306]) ).
cnf(c_404,plain,
mtvisible(c_cyclistsmt),
inference(resolve,[status(thm)],[c_400,c_403]) ).
cnf(c_401,plain,
$false,
inference(resolve,[status(thm)],[c_398,c_404]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR056+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 00:24:33 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 2854767 was started by sandbox on n020,
% 0.09/0.36 % Sun Sep 27 00:24:33 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 17.32/9.16
% 17.32/9.16 % SInE (scan): 154 to sos (tol 1.5x), 30 to usable (tol 2.0x), 540065 zapped, of 540249 axioms (depth 3).
% 17.32/9.16
% 17.32/9.16 % From the command line: assign(max_seconds, 300).
% 17.32/9.16
% 17.32/9.16 % SZS status Theorem for theBenchmark
% 17.32/9.16
% 17.32/9.16 % Proof 1 at 0.62 (+ 0.50) seconds.
% 17.32/9.16 % Length of proof is 19.
% 17.32/9.16 % Level of proof is 6.
% 17.32/9.16 % Maximum clause weight is 112.000.
% 17.32/9.16 % Given clauses 79.
% 17.32/9.16
% 17.32/9.16 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------