TSTP Solution File: RNG101+2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : RNG101+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 20:35:58 EDT 2022
% Result : Theorem 1.20s 1.40s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 46 ( 22 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 40 ( 15 ~; 8 |; 17 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 2 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__1933,hypothesis,
( ? [W0] :
( aElement0(W0)
& sdtasdt0(xc,W0) = xx )
& aElementOf0(xx,slsdtgt0(xc))
& ? [W0] :
( aElement0(W0)
& sdtasdt0(xc,W0) = xy )
& aElementOf0(xy,slsdtgt0(xc))
& aElement0(xz) ) ).
fof(m__,conjecture,
? [W0] :
( aElement0(W0)
& sdtasdt0(xc,W0) = xx ) ).
fof(subgoal_0,plain,
? [W0] :
( aElement0(W0)
& sdtasdt0(xc,W0) = xx ),
inference(strip,[],[m__]) ).
fof(negate_0_0,plain,
~ ? [W0] :
( aElement0(W0)
& sdtasdt0(xc,W0) = xx ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [W0] :
( sdtasdt0(xc,W0) != xx
| ~ aElement0(W0) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [W0] :
( sdtasdt0(xc,W0) != xx
| ~ aElement0(W0) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( aElement0(xz)
& aElementOf0(xx,slsdtgt0(xc))
& aElementOf0(xy,slsdtgt0(xc))
& ? [W0] :
( sdtasdt0(xc,W0) = xx
& aElement0(W0) )
& ? [W0] :
( sdtasdt0(xc,W0) = xy
& aElement0(W0) ) ),
inference(canonicalize,[],[m__1933]) ).
fof(normalize_0_3,plain,
? [W0] :
( sdtasdt0(xc,W0) = xx
& aElement0(W0) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
( sdtasdt0(xc,skolemFOFtoCNF_W0) = xx
& aElement0(skolemFOFtoCNF_W0) ),
inference(skolemize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
sdtasdt0(xc,skolemFOFtoCNF_W0) = xx,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
aElement0(skolemFOFtoCNF_W0),
inference(conjunct,[],[normalize_0_4]) ).
cnf(refute_0_0,plain,
( sdtasdt0(xc,W0) != xx
| ~ aElement0(W0) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( sdtasdt0(xc,skolemFOFtoCNF_W0) != xx
| ~ aElement0(skolemFOFtoCNF_W0) ),
inference(subst,[],[refute_0_0:[bind(W0,$fot(skolemFOFtoCNF_W0))]]) ).
cnf(refute_0_2,plain,
sdtasdt0(xc,skolemFOFtoCNF_W0) = xx,
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
( sdtasdt0(xc,skolemFOFtoCNF_W0) != xx
| xx != xx
| sdtasdt0(xc,skolemFOFtoCNF_W0) = xx ),
introduced(tautology,[equality,[$cnf( ~ $equal(sdtasdt0(xc,skolemFOFtoCNF_W0),xx) ),[0],$fot(xx)]]) ).
cnf(refute_0_4,plain,
( xx != xx
| sdtasdt0(xc,skolemFOFtoCNF_W0) = xx ),
inference(resolve,[$cnf( $equal(sdtasdt0(xc,skolemFOFtoCNF_W0),xx) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( xx != xx
| ~ aElement0(skolemFOFtoCNF_W0) ),
inference(resolve,[$cnf( $equal(sdtasdt0(xc,skolemFOFtoCNF_W0),xx) )],[refute_0_4,refute_0_1]) ).
cnf(refute_0_6,plain,
xx = xx,
introduced(tautology,[refl,[$fot(xx)]]) ).
cnf(refute_0_7,plain,
~ aElement0(skolemFOFtoCNF_W0),
inference(resolve,[$cnf( $equal(xx,xx) )],[refute_0_6,refute_0_5]) ).
cnf(refute_0_8,plain,
aElement0(skolemFOFtoCNF_W0),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_9,plain,
$false,
inference(resolve,[$cnf( aElement0(skolemFOFtoCNF_W0) )],[refute_0_8,refute_0_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : RNG101+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n029.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 : Mon May 30 08:24:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.20/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.20/1.40
% 1.20/1.40 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.20/1.40
%------------------------------------------------------------------------------