TSTP Solution File: NUM632+3 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM632+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 : Mon Jul 18 12:28:24 EDT 2022
% Result : Theorem 0.47s 0.64s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 14 unt; 0 def)
% Number of atoms : 34 ( 27 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 24 ( 10 ~; 6 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__5309,hypothesis,
( aElementOf0(xn,szDzozmdt0(xd))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ) ).
fof(m__5568,hypothesis,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn) ).
fof(m__,conjecture,
sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd) ).
fof(subgoal_0,plain,
sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd),
inference(strip,[],[m__]) ).
fof(negate_0_0,plain,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
inference(canonicalize,[],[m__5568]) ).
fof(normalize_0_2,plain,
( sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& sdtlpdtrp0(xe,xn) = xp
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szDzozmdt0(xd))
& aElementOf0(xn,szNzAzT0) ),
inference(canonicalize,[],[m__5309]) ).
fof(normalize_0_3,plain,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
inference(conjunct,[],[normalize_0_2]) ).
cnf(refute_0_0,plain,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_2,plain,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
( sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn)
| sdtlpdtrp0(xd,xn) != szDzizrdt0(xd)
| sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd) ),
introduced(tautology,[equality,[$cnf( ~ $equal(sdtlpdtrp0(xc,xQ),szDzizrdt0(xd)) ),[0],$fot(sdtlpdtrp0(xd,xn))]]) ).
cnf(refute_0_4,plain,
( sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn)
| sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd) ),
inference(resolve,[$cnf( $equal(sdtlpdtrp0(xd,xn),szDzizrdt0(xd)) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd),
inference(resolve,[$cnf( $equal(sdtlpdtrp0(xc,xQ),sdtlpdtrp0(xd,xn)) )],[refute_0_1,refute_0_4]) ).
cnf(refute_0_6,plain,
( sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd)
| szDzizrdt0(xd) != szDzizrdt0(xd)
| sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd) ),
introduced(tautology,[equality,[$cnf( ~ $equal(sdtlpdtrp0(xc,xQ),szDzizrdt0(xd)) ),[0],$fot(szDzizrdt0(xd))]]) ).
cnf(refute_0_7,plain,
( szDzizrdt0(xd) != szDzizrdt0(xd)
| sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd) ),
inference(resolve,[$cnf( $equal(sdtlpdtrp0(xc,xQ),szDzizrdt0(xd)) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
szDzizrdt0(xd) != szDzizrdt0(xd),
inference(resolve,[$cnf( $equal(sdtlpdtrp0(xc,xQ),szDzizrdt0(xd)) )],[refute_0_7,refute_0_0]) ).
cnf(refute_0_9,plain,
szDzizrdt0(xd) = szDzizrdt0(xd),
introduced(tautology,[refl,[$fot(szDzizrdt0(xd))]]) ).
cnf(refute_0_10,plain,
$false,
inference(resolve,[$cnf( $equal(szDzizrdt0(xd),szDzizrdt0(xd)) )],[refute_0_9,refute_0_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM632+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n026.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 : Tue Jul 5 19:36:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.47/0.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64
% 0.47/0.64 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.47/0.64
%------------------------------------------------------------------------------