%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM434+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n010.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 12:26:39 EDT 2022
% Result : Theorem 12.32s 12.48s
% Output : CNFRefutation 12.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 42 ( 22 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 38 ( 17 ~; 8 |; 13 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 2 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__1003,hypothesis,
( sdtasdt0(xp,xq) != sz00
& ? [W0] :
( aInteger0(W0)
& sdtasdt0(sdtasdt0(xp,xq),W0) = sdtpldt0(xa,smndt0(xb)) )
& aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)) ) ).
fof(m__,conjecture,
? [W0] :
( aInteger0(W0)
& sdtasdt0(sdtasdt0(xp,xq),W0) = sdtpldt0(xa,smndt0(xb)) ) ).
fof(subgoal_0,plain,
? [W0] :
( aInteger0(W0)
& sdtasdt0(sdtasdt0(xp,xq),W0) = sdtpldt0(xa,smndt0(xb)) ),
inference(strip,[],[m__]) ).
fof(negate_0_0,plain,
~ ? [W0] :
( aInteger0(W0)
& sdtasdt0(sdtasdt0(xp,xq),W0) = sdtpldt0(xa,smndt0(xb)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [W0] :
( sdtasdt0(sdtasdt0(xp,xq),W0) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(W0) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [W0] :
( sdtasdt0(sdtasdt0(xp,xq),W0) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(W0) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( sdtasdt0(xp,xq) != sz00
& aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq))
& ? [W0] :
( sdtasdt0(sdtasdt0(xp,xq),W0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(W0) ) ),
inference(canonicalize,[],[m__1003]) ).
fof(normalize_0_3,plain,
? [W0] :
( sdtasdt0(sdtasdt0(xp,xq),W0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(W0) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
( sdtasdt0(sdtasdt0(xp,xq),skolemFOFtoCNF_W0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(skolemFOFtoCNF_W0) ),
inference(skolemize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
sdtasdt0(sdtasdt0(xp,xq),skolemFOFtoCNF_W0) = sdtpldt0(xa,smndt0(xb)),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
aInteger0(skolemFOFtoCNF_W0),
inference(conjunct,[],[normalize_0_4]) ).
cnf(refute_0_0,plain,
( sdtasdt0(sdtasdt0(xp,xq),W0) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(W0) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( sdtasdt0(sdtasdt0(xp,xq),skolemFOFtoCNF_W0) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(skolemFOFtoCNF_W0) ),
inference(subst,[],[refute_0_0:[bind(W0,$fot(skolemFOFtoCNF_W0))]]) ).
cnf(refute_0_2,plain,
sdtasdt0(sdtasdt0(xp,xq),skolemFOFtoCNF_W0) = sdtpldt0(xa,smndt0(xb)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
( sdtasdt0(sdtasdt0(xp,xq),skolemFOFtoCNF_W0) != sdtpldt0(xa,smndt0(xb))
| sdtpldt0(xa,smndt0(xb)) != sdtpldt0(xa,smndt0(xb))
| sdtasdt0(sdtasdt0(xp,xq),skolemFOFtoCNF_W0) = sdtpldt0(xa,smndt0(xb)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(sdtasdt0(sdtasdt0(xp,xq),skolemFOFtoCNF_W0),sdtpldt0(xa,smndt0(xb))) ),[0],$fot(sdtpldt0(xa,smndt0(xb)))]]) ).
cnf(refute_0_4,plain,
( sdtpldt0(xa,smndt0(xb)) != sdtpldt0(xa,smndt0(xb))
| sdtasdt0(sdtasdt0(xp,xq),skolemFOFtoCNF_W0) = sdtpldt0(xa,smndt0(xb)) ),
inference(resolve,[$cnf( $equal(sdtasdt0(sdtasdt0(xp,xq),skolemFOFtoCNF_W0),sdtpldt0(xa,smndt0(xb))) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( sdtpldt0(xa,smndt0(xb)) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(skolemFOFtoCNF_W0) ),
inference(resolve,[$cnf( $equal(sdtasdt0(sdtasdt0(xp,xq),skolemFOFtoCNF_W0),sdtpldt0(xa,smndt0(xb))) )],[refute_0_4,refute_0_1]) ).
cnf(refute_0_6,plain,
sdtpldt0(xa,smndt0(xb)) = sdtpldt0(xa,smndt0(xb)),
introduced(tautology,[refl,[$fot(sdtpldt0(xa,smndt0(xb)))]]) ).
cnf(refute_0_7,plain,
~ aInteger0(skolemFOFtoCNF_W0),
inference(resolve,[$cnf( $equal(sdtpldt0(xa,smndt0(xb)),sdtpldt0(xa,smndt0(xb))) )],[refute_0_6,refute_0_5]) ).
cnf(refute_0_8,plain,
aInteger0(skolemFOFtoCNF_W0),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_9,plain,
$false,
inference(resolve,[$cnf( aInteger0(skolemFOFtoCNF_W0) )],[refute_0_8,refute_0_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : NUM434+3 : TPTP v8.1.0. Released v4.0.0.
% 0.05/0.11 % Command : metis --show proof --show saturation %s
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Tue Jul 5 20:37:17 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.32 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 12.32/12.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.32/12.48
% 12.32/12.48 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.32/12.48
%------------------------------------------------------------------------------