%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR056+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 07:06:56 AM UTC 2026
% Result : Theorem 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% 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 : 37 ( 17 ~; 12 |; 2 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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(just2,axiom,
! [OBJ] :
( artsupplies(OBJ)
=> supplies(OBJ) ),
file('theBenchmark.p',just2) ).
fof(just10,axiom,
! [INS] :
( ( supplies(INS)
& mtvisible(c_tptp_spindleheadmt) )
=> tptpofobject(INS,f_tptpquantityfn_14(n_232)) ),
file('theBenchmark.p',just10) ).
fof(just12,axiom,
( mtvisible(c_cyclistsmt)
=> artsupplies(c_tptpartsupplies) ),
file('theBenchmark.p',just12) ).
fof(just47,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',just47) ).
fof(query56,conjecture,
? [QUANTITY] :
( mtvisible(c_tptp_member3717_mt)
=> tptpofobject(c_tptpartsupplies,QUANTITY) ),
file('theBenchmark.p',query56) ).
fof(query56_neg,negated_conjecture,
~ ? [QUANTITY] :
( mtvisible(c_tptp_member3717_mt)
=> tptpofobject(c_tptpartsupplies,QUANTITY) ),
inference(assume_negation,[status(cth)],[query56]) ).
cnf(c_60,plain,
( artsupplies(c_tptpartsupplies)
| ~ mtvisible(c_cyclistsmt) ),
inference(clausify,[status(thm)],[just12]) ).
cnf(c_61,plain,
( supplies(A)
| ~ artsupplies(A) ),
inference(clausify,[status(thm)],[just2]) ).
cnf(c_65,plain,
( supplies(c_tptpartsupplies)
| ~ mtvisible(c_cyclistsmt) ),
inference(resolve,[status(thm)],[c_60,c_61]) ).
cnf(c_68,plain,
( tptpofobject(A,f_tptpquantityfn_14(n_232))
| ~ supplies(A)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(clausify,[status(thm)],[just10]) ).
cnf(c_75,negated_conjecture,
~ tptpofobject(c_tptpartsupplies,A),
inference(clausify,[status(thm)],[query56_neg]) ).
cnf(c_76,plain,
( ~ mtvisible(c_cyclistsmt)
| tptpofobject(c_tptpartsupplies,f_tptpquantityfn_14(n_232))
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolve,[status(thm)],[c_68,c_65]) ).
cnf(c_116,negated_conjecture,
( ~ mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolve,[status(thm)],[c_76,c_75]) ).
fof(just8,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('theBenchmark.p',just8) ).
cnf(c_125,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(clausify,[status(thm)],[just8]) ).
fof(just9,axiom,
genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',just9) ).
cnf(c_126,plain,
genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[just9]) ).
cnf(c_137,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[just47]) ).
cnf(c_141,negated_conjecture,
mtvisible(c_tptp_member3717_mt),
inference(clausify,[status(thm)],[query56_neg]) ).
cnf(c_182,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_member3717_mt,A) ),
inference(resolve,[status(thm)],[c_137,c_141]) ).
cnf(c_170,negated_conjecture,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_182,c_126]) ).
cnf(c_175,negated_conjecture,
~ mtvisible(c_cyclistsmt),
inference(resolve,[status(thm)],[c_170,c_116]) ).
cnf(c_183,plain,
( mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolve,[status(thm)],[c_137,c_125]) ).
cnf(c_184,negated_conjecture,
~ mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_183,c_175]) ).
cnf(c_181,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_170,c_184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR056+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 00:23:30 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 1470877 was started by sandbox on n009,
% 0.10/0.37 % Sun Sep 27 00:23:30 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.38
% 0.10/0.38 % From the command line: assign(max_seconds, 300).
% 0.10/0.39
% 0.10/0.39 % SZS status Theorem for theBenchmark
% 0.10/0.39
% 0.10/0.39 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.10/0.39 % Length of proof is 19.
% 0.10/0.39 % Level of proof is 6.
% 0.10/0.39 % Maximum clause weight is 7.000.
% 0.10/0.39 % Given clauses 40.
% 0.10/0.39
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------