TSTP Solution File: CSR026+2 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : CSR026+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 21:56:37 EDT 2022
% Result : Theorem 0.91s 1.10s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 23 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 71 ( 33 ~; 29 |; 3 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 12 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_163,axiom,
( mtvisible(c_cyclistsmt)
=> runningshorts(c_tptprunningshorts) ) ).
fof(ax1_254,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt) ).
fof(ax1_315,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt) ).
fof(ax1_344,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt) ).
fof(ax1_364,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt) ).
fof(ax1_440,axiom,
! [INS] :
( ( mtvisible(c_tptp_member2701_mt)
& runningshorts(INS) )
=> tptpofobject(INS,f_tptpquantityfn_2(n_756)) ) ).
fof(ax1_1123,axiom,
! [SPECMT,GENLMT] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) ) ).
fof(query76,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ) ).
fof(subgoal_0,plain,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
inference(strip,[],[query76]) ).
fof(negate_0_0,plain,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [INS] :
( ~ mtvisible(c_tptp_member2701_mt)
| ~ runningshorts(INS)
| tptpofobject(INS,f_tptpquantityfn_2(n_756)) ),
inference(canonicalize,[],[ax1_440]) ).
fof(normalize_0_1,plain,
! [INS] :
( ~ mtvisible(c_tptp_member2701_mt)
| ~ runningshorts(INS)
| tptpofobject(INS,f_tptpquantityfn_2(n_756)) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( ~ mtvisible(c_cyclistsmt)
| runningshorts(c_tptprunningshorts) ),
inference(canonicalize,[],[ax1_163]) ).
fof(normalize_0_3,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(canonicalize,[],[ax1_254]) ).
fof(normalize_0_4,plain,
! [GENLMT,SPECMT] :
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT)
| mtvisible(GENLMT) ),
inference(canonicalize,[],[ax1_1123]) ).
fof(normalize_0_5,plain,
! [GENLMT,SPECMT] :
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT)
| mtvisible(GENLMT) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(canonicalize,[],[ax1_315]) ).
fof(normalize_0_7,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(canonicalize,[],[ax1_364]) ).
fof(normalize_0_8,plain,
( ~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756))
& mtvisible(c_tptp_spindlecollectormt) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_9,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
inference(canonicalize,[],[ax1_344]) ).
fof(normalize_0_11,plain,
~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)),
inference(conjunct,[],[normalize_0_8]) ).
cnf(refute_0_0,plain,
( ~ mtvisible(c_tptp_member2701_mt)
| ~ runningshorts(INS)
| tptpofobject(INS,f_tptpquantityfn_2(n_756)) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ mtvisible(c_tptp_member2701_mt)
| ~ runningshorts(c_tptprunningshorts)
| tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
inference(subst,[],[refute_0_0:[bind(INS,$fot(c_tptprunningshorts))]]) ).
cnf(refute_0_2,plain,
( ~ mtvisible(c_cyclistsmt)
| runningshorts(c_tptprunningshorts) ),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_3,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_4,plain,
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT)
| mtvisible(GENLMT) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_5,plain,
( ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| ~ mtvisible(c_tptp_spindleheadmt)
| mtvisible(c_cyclistsmt) ),
inference(subst,[],[refute_0_4:[bind(GENLMT,$fot(c_cyclistsmt)),bind(SPECMT,$fot(c_tptp_spindleheadmt))]]) ).
cnf(refute_0_6,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| mtvisible(c_cyclistsmt) ),
inference(resolve,[$cnf( genlmt(c_tptp_spindleheadmt,c_cyclistsmt) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_8,plain,
( ~ genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3993_mt)
| mtvisible(c_tptp_spindleheadmt) ),
inference(subst,[],[refute_0_4:[bind(GENLMT,$fot(c_tptp_spindleheadmt)),bind(SPECMT,$fot(c_tptp_member3993_mt))]]) ).
cnf(refute_0_9,plain,
( ~ mtvisible(c_tptp_member3993_mt)
| mtvisible(c_tptp_spindleheadmt) ),
inference(resolve,[$cnf( genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_11,plain,
( ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt)
| ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member3993_mt) ),
inference(subst,[],[refute_0_4:[bind(GENLMT,$fot(c_tptp_member3993_mt)),bind(SPECMT,$fot(c_tptp_spindlecollectormt))]]) ).
cnf(refute_0_12,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member3993_mt) ),
inference(resolve,[$cnf( genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_14,plain,
mtvisible(c_tptp_member3993_mt),
inference(resolve,[$cnf( mtvisible(c_tptp_spindlecollectormt) )],[refute_0_13,refute_0_12]) ).
cnf(refute_0_15,plain,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[$cnf( mtvisible(c_tptp_member3993_mt) )],[refute_0_14,refute_0_9]) ).
cnf(refute_0_16,plain,
mtvisible(c_cyclistsmt),
inference(resolve,[$cnf( mtvisible(c_tptp_spindleheadmt) )],[refute_0_15,refute_0_6]) ).
cnf(refute_0_17,plain,
runningshorts(c_tptprunningshorts),
inference(resolve,[$cnf( mtvisible(c_cyclistsmt) )],[refute_0_16,refute_0_2]) ).
cnf(refute_0_18,plain,
( ~ mtvisible(c_tptp_member2701_mt)
| tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
inference(resolve,[$cnf( runningshorts(c_tptprunningshorts) )],[refute_0_17,refute_0_1]) ).
cnf(refute_0_19,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_20,plain,
( ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt)
| ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member2701_mt) ),
inference(subst,[],[refute_0_4:[bind(GENLMT,$fot(c_tptp_member2701_mt)),bind(SPECMT,$fot(c_tptp_spindlecollectormt))]]) ).
cnf(refute_0_21,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member2701_mt) ),
inference(resolve,[$cnf( genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
mtvisible(c_tptp_member2701_mt),
inference(resolve,[$cnf( mtvisible(c_tptp_spindlecollectormt) )],[refute_0_13,refute_0_21]) ).
cnf(refute_0_23,plain,
tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)),
inference(resolve,[$cnf( mtvisible(c_tptp_member2701_mt) )],[refute_0_22,refute_0_18]) ).
cnf(refute_0_24,plain,
~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_25,plain,
$false,
inference(resolve,[$cnf( tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) )],[refute_0_23,refute_0_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : CSR026+2 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.11 % Command : metis --show proof --show saturation %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Thu Jun 9 19:19:08 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.11/0.31 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.91/1.10 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.10
% 0.91/1.10 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.91/1.10
%------------------------------------------------------------------------------