TSTP Solution File: SWV047+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV047+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n003.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 : Wed Jul 20 20:29:57 EDT 2022
% Result : Theorem 0.18s 0.57s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 24 ( 8 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 18 ( 2 ~; 0 |; 13 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 12 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ttrue,axiom,
true ).
fof(cl5_nebula_norm_0013,conjecture,
( ( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) )
=> true ) ).
fof(subgoal_0,plain,
( ( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) )
=> true ),
inference(strip,[],[cl5_nebula_norm_0013]) ).
fof(negate_0_0,plain,
~ ( ( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) )
=> true ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ~ true
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
true,
inference(canonicalize,[],[ttrue]) ).
fof(normalize_0_2,plain,
$false,
inference(simplify,[],[normalize_0_0,normalize_0_1]) ).
cnf(refute_0_0,plain,
$false,
inference(canonicalize,[],[normalize_0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV047+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 18:45:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.57
% 0.18/0.57 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.57
%------------------------------------------------------------------------------