TSTP Solution File: CSR068+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : CSR068+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 21:57:26 EDT 2022
% Result : Theorem 0.17s 0.35s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 13 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 21 ~; 17 |; 3 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 13 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(just7,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt) ).
fof(just8,axiom,
furpelt(c_theprototypicalfurpelt) ).
fof(just9,axiom,
! [INS] :
( ( mtvisible(c_tptp_spindleheadmt)
& furpelt(INS) )
=> tptpofobject(INS,f_tptpquantityfn_1(n_328)) ) ).
fof(just47,axiom,
! [SPECMT,GENLMT] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) ) ).
fof(query68,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ) ).
fof(subgoal_0,plain,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(strip,[],[query68]) ).
fof(negate_0_0,plain,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
furpelt(c_theprototypicalfurpelt),
inference(canonicalize,[],[just8]) ).
fof(normalize_0_1,plain,
! [INS] :
( ~ furpelt(INS)
| ~ mtvisible(c_tptp_spindleheadmt)
| tptpofobject(INS,f_tptpquantityfn_1(n_328)) ),
inference(canonicalize,[],[just9]) ).
fof(normalize_0_2,plain,
! [INS] :
( ~ furpelt(INS)
| ~ mtvisible(c_tptp_spindleheadmt)
| tptpofobject(INS,f_tptpquantityfn_1(n_328)) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(canonicalize,[],[just7]) ).
fof(normalize_0_4,plain,
! [GENLMT,SPECMT] :
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT)
| mtvisible(GENLMT) ),
inference(canonicalize,[],[just47]) ).
fof(normalize_0_5,plain,
! [GENLMT,SPECMT] :
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT)
| mtvisible(GENLMT) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
( ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
& mtvisible(c_tptp_member2356_mt) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_7,plain,
mtvisible(c_tptp_member2356_mt),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(conjunct,[],[normalize_0_6]) ).
cnf(refute_0_0,plain,
furpelt(c_theprototypicalfurpelt),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( ~ furpelt(INS)
| ~ mtvisible(c_tptp_spindleheadmt)
| tptpofobject(INS,f_tptpquantityfn_1(n_328)) ),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_2,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT)
| mtvisible(GENLMT) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
( ~ genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member2356_mt)
| mtvisible(c_tptp_spindleheadmt) ),
inference(subst,[],[refute_0_3:[bind(GENLMT,$fot(c_tptp_spindleheadmt)),bind(SPECMT,$fot(c_tptp_member2356_mt))]]) ).
cnf(refute_0_5,plain,
( ~ mtvisible(c_tptp_member2356_mt)
| mtvisible(c_tptp_spindleheadmt) ),
inference(resolve,[$cnf( genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
mtvisible(c_tptp_member2356_mt),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_7,plain,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[$cnf( mtvisible(c_tptp_member2356_mt) )],[refute_0_6,refute_0_5]) ).
cnf(refute_0_8,plain,
( ~ furpelt(INS)
| tptpofobject(INS,f_tptpquantityfn_1(n_328)) ),
inference(resolve,[$cnf( mtvisible(c_tptp_spindleheadmt) )],[refute_0_7,refute_0_1]) ).
cnf(refute_0_9,plain,
( ~ furpelt(c_theprototypicalfurpelt)
| tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(subst,[],[refute_0_8:[bind(INS,$fot(c_theprototypicalfurpelt))]]) ).
cnf(refute_0_10,plain,
tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(resolve,[$cnf( furpelt(c_theprototypicalfurpelt) )],[refute_0_0,refute_0_9]) ).
cnf(refute_0_11,plain,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_12,plain,
$false,
inference(resolve,[$cnf( tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) )],[refute_0_10,refute_0_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : CSR068+1 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.31 % Computer : n014.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 600
% 0.17/0.31 % DateTime : Sat Jun 11 12:26:23 EDT 2022
% 0.17/0.31 % CPUTime :
% 0.17/0.32 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.17/0.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35
% 0.17/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.17/0.35
%------------------------------------------------------------------------------