%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR056+2 : 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 : n004.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 0.14s 5.88s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% 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 : 30 ( 13 ~; 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 : 14 ( 1 sgn 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_40,axiom,
( mtvisible(c_cyclistsmt)
=> artsupplies(c_tptpartsupplies) ),
file('theBenchmark.p',ax1_40) ).
fof(ax1_202,axiom,
! [INS] :
( ( supplies(INS)
& mtvisible(c_tptp_spindleheadmt) )
=> tptpofobject(INS,f_tptpquantityfn_14(n_232)) ),
file('theBenchmark.p',ax1_202) ).
fof(ax1_238,axiom,
! [OBJ] :
( artsupplies(OBJ)
=> supplies(OBJ) ),
file('theBenchmark.p',ax1_238) ).
fof(ax1_1123,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax1_1123) ).
fof(query106,conjecture,
? [QUANTITY] :
( mtvisible(c_tptp_member3717_mt)
=> tptpofobject(c_tptpartsupplies,QUANTITY) ),
file('theBenchmark.p',query106) ).
fof(query106_neg,negated_conjecture,
~ ? [QUANTITY] :
( mtvisible(c_tptp_member3717_mt)
=> tptpofobject(c_tptpartsupplies,QUANTITY) ),
inference(assume_negation,[status(cth)],[query106]) ).
cnf(c_1275,plain,
( artsupplies(c_tptpartsupplies)
| ~ mtvisible(c_cyclistsmt) ),
inference(clausify,[status(thm)],[ax1_40]) ).
cnf(c_1368,plain,
( tptpofobject(A,f_tptpquantityfn_14(n_232))
| ~ supplies(A)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(clausify,[status(thm)],[ax1_202]) ).
cnf(c_1395,plain,
( supplies(A)
| ~ artsupplies(A) ),
inference(clausify,[status(thm)],[ax1_238]) ).
fof(ax1_254,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('theBenchmark.p',ax1_254) ).
cnf(c_1403,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(clausify,[status(thm)],[ax1_254]) ).
fof(ax1_279,axiom,
genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',ax1_279) ).
cnf(c_1418,plain,
genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[ax1_279]) ).
cnf(c_1957,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax1_1123]) ).
cnf(c_1962,negated_conjecture,
mtvisible(c_tptp_member3717_mt),
inference(clausify,[status(thm)],[query106_neg]) ).
cnf(c_1963,negated_conjecture,
~ tptpofobject(c_tptpartsupplies,A),
inference(clausify,[status(thm)],[query106_neg]) ).
cnf(c_2162,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_member3717_mt,A) ),
inference(resolve,[status(thm)],[c_1957,c_1962]) ).
cnf(c_1986,negated_conjecture,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_2162,c_1418]) ).
cnf(c_1990,plain,
( tptpofobject(A,f_tptpquantityfn_14(n_232))
| ~ supplies(A) ),
inference(resolve,[status(thm)],[c_1986,c_1368]) ).
cnf(c_2071,plain,
~ supplies(c_tptpartsupplies),
inference(resolve,[status(thm)],[c_1990,c_1963]) ).
cnf(c_2163,plain,
( mtvisible(A)
| ~ genlmt(c_tptp_spindleheadmt,A) ),
inference(resolve,[status(thm)],[c_1957,c_1986]) ).
cnf(c_2080,plain,
mtvisible(c_cyclistsmt),
inference(resolve,[status(thm)],[c_2163,c_1403]) ).
cnf(c_2082,plain,
artsupplies(c_tptpartsupplies),
inference(resolve,[status(thm)],[c_2080,c_1275]) ).
cnf(c_2164,plain,
~ artsupplies(c_tptpartsupplies),
inference(resolve,[status(thm)],[c_1395,c_2071]) ).
cnf(c_2161,plain,
$false,
inference(resolve,[status(thm)],[c_2082,c_2164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR056+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n004.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sun Sep 27 00:23:26 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/5.37 % Process 2954263 was started by sandbox2 on n004,
% 0.09/5.37 % Sun Sep 27 00:23:26 2026
% 0.09/5.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.14/5.53
% 0.14/5.53 % From the command line: assign(max_seconds, 300).
% 0.14/5.53
% 0.14/5.53 % SInE: 742 to sos, 389 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 0.14/5.88
% 0.14/5.88 % SZS status Theorem for theBenchmark
% 0.14/5.88
% 0.14/5.88 % Proof 1 at 0.25 (+ 0.04) seconds.
% 0.14/5.88 % Length of proof is 19.
% 0.14/5.88 % Level of proof is 5.
% 0.14/5.88 % Maximum clause weight is 218.000.
% 0.14/5.88 % Given clauses 203.
% 0.14/5.88
% 0.14/5.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------