TSTP Solution File: NUM490+3 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM490+3 : 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 12:27:07 EDT 2022
% Result : Theorem 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 15 ~; 8 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__1951,hypothesis,
sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) ).
fof(m__,conjecture,
( sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) = sdtasdt0(xn,xm)
| sdtasdt0(xr,xm) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ) ).
fof(subgoal_0,plain,
( sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) != sdtasdt0(xn,xm)
=> sdtasdt0(xr,xm) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
inference(strip,[],[m__]) ).
fof(negate_0_0,plain,
~ ( sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) != sdtasdt0(xn,xm)
=> sdtasdt0(xr,xm) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( sdtasdt0(xr,xm) != sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) != sdtasdt0(xn,xm) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) != sdtasdt0(xn,xm),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
inference(canonicalize,[],[m__1951]) ).
cnf(refute_0_0,plain,
sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) != sdtasdt0(xn,xm),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( sdtasdt0(xn,xm) != sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm))
| sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) = sdtasdt0(xn,xm) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(sdtasdt0(xn,xm))),bind(Y,$fot(sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm))))]]) ).
cnf(refute_0_6,plain,
sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) = sdtasdt0(xn,xm),
inference(resolve,[$cnf( $equal(sdtasdt0(xn,xm),sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm))) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
( sdtasdt0(xn,xm) != sdtasdt0(xn,xm)
| sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) != sdtasdt0(xn,xm)
| sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) = sdtasdt0(xn,xm) ),
introduced(tautology,[equality,[$cnf( $equal(sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),sdtasdt0(xn,xm)) ),[1],$fot(sdtasdt0(xn,xm))]]) ).
cnf(refute_0_8,plain,
( sdtasdt0(xn,xm) != sdtasdt0(xn,xm)
| sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) = sdtasdt0(xn,xm) ),
inference(resolve,[$cnf( $equal(sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),sdtasdt0(xn,xm)) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
sdtasdt0(xn,xm) != sdtasdt0(xn,xm),
inference(resolve,[$cnf( $equal(sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),sdtasdt0(xn,xm)) )],[refute_0_8,refute_0_0]) ).
cnf(refute_0_10,plain,
sdtasdt0(xn,xm) = sdtasdt0(xn,xm),
introduced(tautology,[refl,[$fot(sdtasdt0(xn,xm))]]) ).
cnf(refute_0_11,plain,
$false,
inference(resolve,[$cnf( $equal(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) )],[refute_0_10,refute_0_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM490+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n029.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 : Thu Jul 7 19:33:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.42
% 0.20/0.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.42
%------------------------------------------------------------------------------