%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR068+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 : n005.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 07:07:05 AM UTC 2026
% Result : Theorem 0.08s 0.41s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 10 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 14 ~; 10 |; 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 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(just9,axiom,
! [INS] :
( ( furpelt(INS)
& mtvisible(c_tptp_spindleheadmt) )
=> tptpofobject(INS,f_tptpquantityfn_1(n_328)) ),
file('theBenchmark.p',just9) ).
fof(just37,axiom,
! [X] :
( isa(X,c_furpelt)
=> furpelt(X) ),
file('theBenchmark.p',just37) ).
fof(just38,axiom,
! [X] :
( furpelt(X)
=> isa(X,c_furpelt) ),
file('theBenchmark.p',just38) ).
fof(just47,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',just47) ).
fof(query68,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('theBenchmark.p',query68) ).
fof(query68_neg,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(assume_negation,[status(cth)],[query68]) ).
cnf(c_50,plain,
( furpelt(A)
| ~ isa(A,c_furpelt) ),
inference(clausify,[status(thm)],[just37]) ).
cnf(c_51,plain,
( isa(A,c_furpelt)
| ~ furpelt(A) ),
inference(clausify,[status(thm)],[just38]) ).
cnf(c_52,plain,
( tptpofobject(A,f_tptpquantityfn_1(n_328))
| ~ furpelt(A)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(clausify,[status(thm)],[just9]) ).
fof(just8,axiom,
furpelt(c_theprototypicalfurpelt),
file('theBenchmark.p',just8) ).
cnf(c_53,plain,
furpelt(c_theprototypicalfurpelt),
inference(clausify,[status(thm)],[just8]) ).
cnf(c_55,plain,
( ~ isa(A,c_furpelt)
| tptpofobject(A,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolve,[status(thm)],[c_52,c_50]) ).
cnf(c_58,negated_conjecture,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(clausify,[status(thm)],[query68_neg]) ).
cnf(c_77,plain,
isa(c_theprototypicalfurpelt,c_furpelt),
inference(resolve,[status(thm)],[c_53,c_51]) ).
fof(just7,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',just7) ).
cnf(c_83,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[just7]) ).
cnf(c_91,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[just47]) ).
cnf(c_94,negated_conjecture,
mtvisible(c_tptp_member2356_mt),
inference(clausify,[status(thm)],[query68_neg]) ).
cnf(c_96,negated_conjecture,
( ~ isa(c_theprototypicalfurpelt,c_furpelt)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolve,[status(thm)],[c_58,c_55]) ).
cnf(c_97,negated_conjecture,
~ mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_77,c_96]) ).
cnf(c_116,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_member2356_mt,A) ),
inference(resolve,[status(thm)],[c_91,c_94]) ).
cnf(c_117,negated_conjecture,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_116,c_83]) ).
cnf(c_115,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_97,c_117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR068+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n005.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sun Sep 27 00:34:02 UTC 2026
% 0.08/0.38 % CPUTime :
% 0.08/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.38 % Process 3443606 was started by sandbox on n005,
% 0.08/0.38 % Sun Sep 27 00:34:02 2026
% 0.08/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.39
% 0.08/0.39 % From the command line: assign(max_seconds, 300).
% 0.08/0.41
% 0.08/0.41 % SZS status Theorem for theBenchmark
% 0.08/0.41
% 0.08/0.41 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.08/0.41 % Length of proof is 18.
% 0.08/0.41 % Level of proof is 5.
% 0.08/0.41 % Maximum clause weight is 7.000.
% 0.08/0.41 % Given clauses 20.
% 0.08/0.41
% 0.08/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------