TSTP Solution File: CSR037+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : CSR037+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 21:56:49 EDT 2022
% Result : Theorem 0.20s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 8 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 18 ~; 14 |; 2 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(just12,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ) ).
fof(just13,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ) ).
fof(just34,axiom,
! [X,Y,Z] :
( ( geographicalsubregions(X,Y)
& geographicalsubregions(Y,Z) )
=> geographicalsubregions(X,Z) ) ).
fof(query37,conjecture,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ) ).
fof(subgoal_0,plain,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
inference(strip,[],[query37]) ).
fof(negate_0_0,plain,
~ ( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
inference(canonicalize,[],[just12]) ).
fof(normalize_0_1,plain,
( ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_2,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
inference(canonicalize,[],[just13]) ).
fof(normalize_0_4,plain,
! [X,Y,Z] :
( ~ geographicalsubregions(X,Y)
| ~ geographicalsubregions(Y,Z)
| geographicalsubregions(X,Z) ),
inference(canonicalize,[],[just34]) ).
fof(normalize_0_5,plain,
! [X,Y,Z] :
( ~ geographicalsubregions(X,Y)
| ~ geographicalsubregions(Y,Z)
| geographicalsubregions(X,Z) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_2,plain,
geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24),
inference(resolve,[$cnf( mtvisible(c_tptpgeo_member7_mt) )],[refute_0_1,refute_0_0]) ).
cnf(refute_0_3,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_4,plain,
geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72),
inference(resolve,[$cnf( mtvisible(c_tptpgeo_member7_mt) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ geographicalsubregions(X,Y)
| ~ geographicalsubregions(Y,Z)
| geographicalsubregions(X,Z) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_6,plain,
( ~ geographicalsubregions(X_80,c_georegion_l3_x15_y24)
| ~ geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| geographicalsubregions(X_80,c_georegion_l4_x45_y72) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_80)),bind(Y,$fot(c_georegion_l3_x15_y24)),bind(Z,$fot(c_georegion_l4_x45_y72))]]) ).
cnf(refute_0_7,plain,
( ~ geographicalsubregions(X_80,c_georegion_l3_x15_y24)
| geographicalsubregions(X_80,c_georegion_l4_x45_y72) ),
inference(resolve,[$cnf( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
| geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
inference(subst,[],[refute_0_7:[bind(X_80,$fot(c_georegion_l2_x5_y8))]]) ).
cnf(refute_0_9,plain,
geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
inference(resolve,[$cnf( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) )],[refute_0_2,refute_0_8]) ).
cnf(refute_0_10,plain,
~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_11,plain,
$false,
inference(resolve,[$cnf( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) )],[refute_0_9,refute_0_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR037+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 11 05:02:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.37
% 0.20/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.37
%------------------------------------------------------------------------------